The double number line shows that Toni can type 180180180 words in 222 minutes. Based on the ratio shown in the double number line, how many words can Toni type in 333 minutes?

Answers

Answer 1

Answer:

Toni can type words in 3 minutes is 270 words

Step-by-step explanation:

Given that the double number line shows that Toni can type 180 words in 2 minutes.

To find how many words can Toni type in 3 minutes:

From the given Toni can type 180 words in 2 minutes,

⇒ Toni can type [tex]\frac{180}{2}[/tex]

[tex] = 90[/tex]

∴ 90 words per minute

For Toni would be able to type words in 3 minutes is

[tex]90\times 3[/tex]

[tex] = 270[/tex]

∴ 270 words per minute.∴ Toni can type words in 3 minutes is 270 words.
Answer 2

Answer:

put 270 and the anwser shoud be correct


Related Questions

The point (4,10) is in each scatterplot. In which one is it an outlier?

Answers

Answer:

A

Step-by-step explanation:

yy chi u yfgbngny NYC tnfnbfrbcsdv

Answer:

A

Step-by-step explanation:

What is the midpoint of the straight line segment joining the points (-2, 9) and (3, -2)?

Answers

Answer:

x2-x1/y2-y1

-2--2/3-9=-2+2/3-9

=0/-3

What is the approximate volume of the cylinder of 4cm and 9cm? Use 3.14 for π.

Answers

The  volume of the cylinder is 452.16 cubic centimeter

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cylinder

Radius of cylinder is 4cm and height is 9cm

The formula for volume of cylinder = πr²h

Plug in the values of r and h

Volume = π(4)²(9)

= π×16×9

=3.14×16×9

=452.16 cubic centimeter

Hence, the  volume of the cylinder is 452.16 cubic centimeter

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The approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm is 452.16 cm³, using the formula V = πr²h with π approximated as 3.14.

Calculating the Volume of a Cylinder

To find the approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm using 3.14 for π, you can use the formula for the volume of a cylinder, which is V = πr²h. In this case, V = 3.14 × (4 cm)² × 9 cm.

First, calculate the area of the base (which is a circle) by squaring the radius and multiplying by π: Area = π × r² = 3.14 × 4² = 3.14 × 16 = 50.24 cm². Next, multiply the area of the base by the height of the cylinder to get the volume: Volume = Area × Height = 50.24 cm² × 9 cm = 452.16 cm³.

Therefore, the approximate volume of the cylinder is 452.16 cm³.

Heather wants to buy new carpet for her living room floor. The floor is in the shape of a rectangle. Its length is 17feet and its width is13 feet. Suppose carpet costs 11
for each square foot. How much will carpet cost for the floor?


Answers

Answer:

$2431

Step-by-step explanation:

First we need to find the area

A = l*w

A = 13*17

A =221 ft^2

It cost 11 dollars per square foot so multiply the price times the number of square ft

221*11 =2431

The total cost will be 2431

Final answer:

Heather's new carpet for her rectangular living room floor will cost $2431. This is obtained by calculating the area of the room (221 square feet) and multiplying it by the cost per square foot ($11).

Explanation:

Heather wants to buy new carpet for her living room floor, which is a rectangle with a length of 17 feet and a width of 13 feet. To find out how much the carpet will cost, we need to calculate the area of the floor and then multiply it by the cost per square foot.

First, calculate the area of the floor by multiplying the length by the width:

Area = Length × Width

Area = 17 feet × 13 feet

Area = 221 square feet

Next, multiply the area by the cost of carpet per square foot:

Total cost = Area × Cost per square foot

Total cost = 221 square feet × $11/square foot

Total cost = $2431

Therefore, the carpet will cost Heather $2431 for her living room floor.

a music company offers a loan to buy a drum set for 1500 dollars. what is the monthly payment. 11.8 simple interest equal monthly payment for 2 years

Answers

Answer:

I = Prt

I = 1500(.118)(2) = 354

Total amount to pay = $1854

Monthly payment = $77.25

Step-by-step explanation:

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The number of times per minute that a hummingbird's wings flap is normally distributed with a mean of 145 and a standard deviation of 2. Part A: What is the probability that a randomly selected hummingbird flaps its wings more than 151 times a minute? Part B: What percentage of hummingbirds flap their wings between 141 and 149 times per minute? Part C: A hummingbird that flaps its wings 147 times a minute is in the _______________ percentile.

Answers

The probability of a hummingbird flapping its wings more than 151 times per minute is close to 0, the percentage of hummingbirds flapping between 141 and 149 times per minute can be found using the standard normal distribution table or calculator and a hummingbird flapping its wings 147 times per minute is in the 84th percentile.

To solve these problems, we'll use the properties of the normal distribution.

Part A:

We'll standardize the value of 151 using the formula for z-score:

[tex]\( z = \frac{{X - \mu}}{{\sigma}} \)[/tex]

[tex]\( z = \frac{{151 - 145}}{{2}} = \frac{6}{2} = 3 \)[/tex]

Now, we find the probability corresponding to z = 3 using a standard normal distribution table or calculator. The probability of a value being more than 3 standard deviations above the mean is very low, close to 0.

Part B:

We standardize 141 and 149 similarly:

[tex]\( z_{141} = \frac{{141 - 145}}{{2}} = -2 \)[/tex]

[tex]\( z_{149} = \frac{{149 - 145}}{{2}} = 2 \)[/tex]

Then, we find the area between these two z-scores using the standard normal distribution table or calculator. It represents the percentage of hummingbirds flapping between 141 and 149 times per minute.

Part C:

To find the percentile for 147 flaps per minute, we standardize it:

[tex]\( z = \frac{{147 - 145}}{{2}} = 1 \)[/tex]

Then, we find the area to the left of z = 1 using the standard normal distribution table or calculator. This area represents the percentile.

find the value of x in the given right triangle

Answers

Step-by-step explanation:

It is a right angled triangle so with reference angle 37°

hypotenuse (b) = 10

perpendicular (p) = x

So

tan 37° = p/ b

0.75 = x / 10

x= 0.75/10

Therefore x = 0.075

Hope it will help you :))

X=7.5 to the nearest tenth, working shown below.

Alex, a manager at Symbic Inc., plotted the company's total energy costs of 1 billion dollars over the past 10 years on a chart. The chart suggested that the energy costs appear to be increasing in a fairly predictable linear fashion and that the energy costs are related to time by a linear function Y t =3+5t, where Y trepresents the estimate of the energy cost in year t. Given the equation, which of the following is the value of the intercept of the straight line that best fits the time series?
A. 1
B. 3
C. 5
D. 10

Answers

3 is the answer broski

What are the solution(s) of the quadratic equation 98 – x2 = 0?

x = Plus or minus 2 StartRoot 7 EndRoot
x = Plus or minus 6 StartRoot 3 EndRoot
x = Plus or minus 7 StartRoot 2 EndRoot
no real solution

Answers

Answer:

c on ed

Step-by-step explanation:

just took the unit test

Answer:

The answer is c

Step-by-step explanation:

98 - x² = 0

x² = 98

x = ±√98

Lets factor 98

98 | 2

49 | 7

7 | 7

1

So, 98 = 2 . 7 . 7 = 2 . 7²

x = ±√2.7²

x = ±7√2

Hope this helps!!!

Find the missing factor BBB that makes the equality true.
21y^4=(B)(7y^3)21y
4
=(B)(7y
3
)

Answers

Answer:21y^4= B*7y^3

B=(21y^4)/(7y^3)

B=3y

i think this is correct

Which statements best describe displacement? Check all that apply.
Displacement is measured along the path an object travels.
Displacement is a measurement that includes direction.
Displacement is the difference between a starting point and an ending point.
Displacement is how far an object travels from starting point to ending point.
Displacement is measured as a straight line between a starting point and an ending point.

Answers

I think it’s how far an object travels from starting point to ending point.

Answer: displacement is a measure that includes direction

Displacement is the difference between a starting point and a ending point

Displacement is measured as a straight line between a starting point and an ending point

Step-by-step explanation:

Angle x is coterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true
regarding the values of x and y?
©
X = y - 180n for any positive integer n
X-y-360n for any integer n
X = y + 360n for any positive integer n
x = y + 180n for any integern

Answers

The statement which is true regarding the values of x and y is option C; x=y+360n , for any positive integer n.

What are Coterminal angles?

The algebraic sum of Coterminal angles at a point is 360°.

From the given information;

Angle x is coterminal with angle y.

If the measure of angle x is greater than the measure of angle y.

Then, the statement which is correct is will be as;

x = y + 360n , for any positive integer n.

Read more on coterminal angles;

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What information would most likely be presented in graph form?

Answers

Answer:

How Fast something is going say like a car or a chart that tell how much the people you live around like that surtitle thing

Step-by-step explanation:

Item 5 A spotlight on the ground shines a beam of light to the top of a tree that is 12 m tall. The beam of light makes an angle of 40° with the ground. What is the distance from the spotlight to the base of the tree, rounded to the nearest meter? 10 m 14 m 16 m 19 m PreviousFinish

Answers

Answer:

14 m

Step-by-step explanation:

We are given that

Height of tree=AB=12 m

[tex]\theta=40^{\circ}[/tex]

We have to find the distance from the spotlight to the base of the tree.

We know that

[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]

[tex]\frac{AB}{BC}=tan40[/tex]

[tex]\frac{12}{BC}=tan40[/tex]

[tex]BC=\frac{12}{tan40}=14.3\approx 14[/tex]

Hence, the distance from the spotlight to the base of the tree=14 m

One and one half pounds of chocolate are eaten by 5 people . If each person eats the same amount ,find the unite rate in pounds of chocolate per person

Answers

The answer to the question is 16 I believe

Final answer:

To calculate the chocolate per person, divide 1.5 pounds by 5 people, resulting in 0.3 pounds of chocolate per person.

Explanation:

To find the unit rate of chocolate per person, we divide the total amount of chocolate by the number of people:

Start with 1 and 1/2 (or 1.5) pounds of chocolate for 5 people.

Divide 1.5 pounds by 5 people to find the amount each person eats.
1.5 pounds ÷ 5 people = 0.3 pounds per person.
So, each person eats 0.3 pounds of chocolate.

1 + 4x = -5 + 7x
Help plz

Answers

Answer:

x=2

Step-by-step explanation:

1 + 4x = -5 + 7x

Subtract 4x from each side

1 + 4x-4x = -5 + 7x-4x

1 = -5+3x

Add 5 to each side

1+5 = -5+5+3x

6 = 3x

Divide each side by 3

6/3 = 3x/3

2 =x

starting in the year 1800 the population of the untied states recored until the year 2000

Answers

Final answer:

The population of the United States grew from around 5 million in 1800 to approximately 281 million in 2000, with growth rates declining over time due to lower birth rates and increasing reliance on immigration.

Explanation:

The population growth of the United States from 1800 to 2000 showcases remarkable changes over two centuries. Starting with the beginning of the 19th century, the US population was around 5 million and by the year 2000, it had grown to approximately 281 million according to the decennial census data. This substantial increase can be attributed to various factors including immigration, natural growth, and economic prosperity.

During the early 1800s, the population saw a significant surge, increasing by 38% between 1800 and 1810. However, as time progressed, the growth rate began to slow down. Between 1900 and 1910, the growth rate was at 21%, and it further reduced to 10% between 2000 and 2010. The declining growth rates in the later years are linked to a decrease in the total fertility rate (TFR), which at 1.9, is below the replacement rate of 2.1. The nation's population started to rely more on immigration for its growth as the birth rates declined.

In terms of economic impact, the period between 1850 and 1860 is noted for its astounding economic growth despite political tensions, where the nation's wealth and various economic indicators such as farm value and product manufacturing saw increases surpassing 100%.

PLEASE HELP!!

IF REAL ANSWER IS PUT, I WILL MARK YOU BRAINLIEST!

Answers

Answer:

B

Step-by-step explanation:

It's a trapezoid. The top and bottom sides sum is 18+12 which is 30. the height is 10 and the equation would be 30 times 10 times 1/2. The answer would then be 150.

Answer:

b

Step-by-step explanation:

Which fraction has a terminating decimal as its decimal expansion?

Answers

Answer:

fraction which has a terminating decimal as its decimal expansion is:

1/5

Step-by-step explanation:

We are given 4 fractions:

1/3 , 1/5 , 1/7 and 1/9

We have to find which fraction has terminating decimal.

1/3 = 0.33333...

1/5 = 0.2

1/7 = 0.142857142857...

1/9 =0.11111.....

Hence, fraction which has a terminating decimal as its decimal expansion is:

1/5

Final answer:

A fraction will have a terminating decimal if its denominator is a power of 2, a power of 5, or a combination of both since the base of our number system is 10. Examples like 1/8 and 5/16 have terminating decimals because their denominators are powers of 2.

Explanation:

A fraction will have a terminating decimal expansion if its denominator can be written in the form 2n5m, where n and m are nonnegative integers. This is because the base of our number system is 10, which is 2×5. So any fraction with a denominator that is a factor of a power of 10 will have a terminating decimal expansion.

Example:

Consider the fraction 1/8. Since 8 is 23, which is a power of 2, 1/8 has a terminating decimal of 0.125.For the fraction 5/16, the denominator 16 is 24. Because it contains only the prime factor 2, 5/16 has a terminating decimal of 0.3125.

In contrast, a fraction like 1/3 does not have a prime factorization that matches the form 2n5m and therefore has a non-terminating decimal expansion (0.333...).

Find the area of the shape below

Answers

Answer:

A =32 units^2

Step-by-step explanation:

This figure is a trapezoid

We can find the area from

A = 1/2(b1+b2)h  where b1 and b2 are the base length and h is the height

A = 1/2(4+12) *4

A = 1/2 (16)*4

A =32 units^2

A small accounting firm has 4 accountants who each earn a different salary between 50,000 and 60,000 and a 5th accountant who works part-time for tax season and earns 10,000



The firm decides to get rid of the part-time accountant and keep the other 4 salaries the same


How will getting rid of the part-time accountant affect the mean and median

Answers

Answer: B

Step-by-step explanation:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Answer:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Step-by-step explanation:

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Sandy and Alex are married, with no dependents. They wish to file a joint tax return. Both of them work, but their combined salaries only put them at a slightly above-average income. They would also like to deduct interest paid on their student loans. Recommend an appropriate 1040 form for Sandy and Alex to fill out.

Answers

Answer: 1040-A

Step-by-step explanation:

Tax form 1040 is an Internal Revenue Service form that an individual is required to file for a federal income tax return.

One of the shortened form of Tax form 1040 is the 1040-A.

1040-A form enables one to claim some adjustment. This include filing as an household head instead of a single person, claiming dependent and retirement savings, tax deductions, earned income, education, etc.

Form 1040-A is appropriate for the couple as it would allow them have a joint tax return and make tax deductions on their student loans.

Answer:

the other person was correct

The answer is D on edg2020

You mix the letters A, C, Q, U, A, I, N, T, A, N, C, and E thoroughly. Without looking, you select one letter. Find P(Q or C) as a fraction, a decimal, and a percent.

Answers

Answer:

P(Q or C) = 0.25

Step-by-step explanation:

We are given the following in the question:

Letters:

A, C, Q, U, A, I, N, T, A, N, C, E

Total number of observations, n  = 12

We have to find the probability that a randomly selected letter is Q or C.

Formula:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

P(Q or C) =

[tex]=\dfrac{\text{n(Q or C)}}{n} = \dfrac{3}{12} =0.25 = 25\%[/tex]

Thus,

P(Q or C) = 0.25

Which of the following are Pythagorean Triples?

Answers

Answer:

6, 8, 10

8, 15, 17

3, 4, 5

5, 12, 13

are the right answers

Step-by-step explanation:

6,8,10

8,15,17

3,4,5

5,12,13

Smart takes the bus to work. Unfortunately, he forgets
his lunch at home. Clever grabs the lunch and drives
after the bus. The bus has a 15-minute head start and
is traveling at an average rate of 40 mph. Clever is
traveling at an average rate of 60 mph. How long does
Clever take to catch up to the bus? Draw a diagram to
solve the problem.

Answers

Answer:

Speed = Distance / Time

Distance = Speed x Time

Bus: 15 x 40 = 600 m

Clever: 600 / 60 = 10 minutes

Answer = 10 mins

Step-by-step explanation:

hope it helps:) brainlest?!

What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
a.Negative StartFraction 4 Over 7 EndFraction
b.StartFraction 28 Over 29 EndFraction
c.2
d.4

Answers

The value of n in given proportion is 16

Solution:

We have to find the value of "n" in the proportion

Given proportion is:

[tex]\frac{n}{28} = \frac{4}{7}[/tex]

We can solve the above proportion by cross-multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

[tex]->\frac{n}{28} = \frac{4}{7}[/tex]

[tex]-> 7 * n = 4 * 28[/tex]

[tex]-> n = \frac{4 * 28}{7}[/tex]

[tex]-> n = 4 * 4 = 16[/tex]

Thus the value of n in given proportion is 16

Answer:

the value of n in given proportion is 16

Step-by-step explanation:

What is the center of the circle with the equation: X2 + y2 +18x + 14y + 105 = 0

Answers

Answer:

(9, -7)

Step-by-step explanation:

[tex]x^2+y^2+18x+14y+105=0\\[/tex]

Rearrange like x and y terms next to each other, then complete the square on both.

[tex](x-9)^2-361 + (y+7)^2 - 49 + 105 = 0[/tex]

The negative of the # numbers instead the brackets give you the centre of the circle.

Final answer:

The given equation does not represent a circle because the radius is an imaginary number.

Explanation:

The given equation represents a circle in the Cartesian coordinate plane. The general form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r is the radius. By rearranging the equation, we can find the centre by completing the square for both x and y.

For the given equation, x² + y² + 18x + 14y + 105 = 0, we complete the square for x by adding (18/2)² = 81 to both sides of the equation and for y by adding (14/2)² = 49 to both sides of the equation. This gives us:

(x² + 18x + 81) + (y² + 14y + 49) + 105 - 81 - 49 = 0

(x + 9)² + (y + 7)² = -175

The equation (x + 9)² + (y + 7)² = -175 does not represent a circle because the radius, which is the square root of -175, is an imaginary number. Therefore, the given equation does not have a real centre or radius.

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Quart cartons of milk should contain at least 32 ounces. A sample of 22 cartons was taken and amount of milk in ounces was recorded. We would like to determine if there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces?

Answers

If the sample mean is close to 32 ounces or the sample standard deviation is large, it is less likely that we will reject the null hypothesis.

To determine if there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces, we would conduct a hypothesis test. The null hypothesis (H0) would state that the mean amount of milk in cartons is at least 32 ounces, while the alternative hypothesis (Ha) would state that the mean amount is less than 32 ounces.

The null hypothesis: [tex]\( H_0: \mu \geq 32 \)[/tex]

The alternative hypothesis: [tex]\( H_a: \mu < 32 \)[/tex]

Here is the step-by-step process to conduct the hypothesis test:

1. **Identify the sample mean [tex](\( \bar{x} \))[/tex] and the sample standard deviation (s).** These values would be calculated from the sample of 22 cartons.

2. **Calculate the test statistic (t-score).** The formula for the t-score in a one-sample t-test is:

[tex]\[ t = \frac{\bar{x} - \mu_0}{\frac{s}{\sqrt{n}}} \][/tex]

where [tex]\( \mu_0 \)[/tex] is the hypothesized mean (32 ounces in this case), [tex]\( \bar{x} \)[/tex] is the sample mean, [tex]\( s \)[/tex] is the sample standard deviation, and [tex]\( n \)[/tex] is the sample size.

3. **Determine the degrees of freedom (df).** For a one-sample t-test, the degrees of freedom are [tex]\( n - 1 \)[/tex], where [tex]\( n \)[/tex] is the sample size. In this case, [tex]\( df = 22 - 1 = 21 \)[/tex].

4. **Find the critical t-value or p-value.** Using the degrees of freedom, we can find the critical t-value from a t-distribution table or calculate the p-value. The significance level (α) is typically set at 0.05 for such tests.

5. **Make a decision.** If the test statistic is less than the critical t-value or if the p-value is less than α, we reject the null hypothesis in favor of the alternative hypothesis. This would mean there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces.

6. **Calculate the p-value.** The p-value is the probability of observing a sample mean at least as extreme as the one observed, assuming the null hypothesis is true. It can be calculated using statistical software or a t-distribution table.

7. **Report the results.** If the p-value is less than α, we report that there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces. If the p-value is greater than α, we report that there is not enough evidence to conclude that the mean amount is less than 32 ounces.

Without the actual sample data (sample mean and sample standard deviation), we cannot perform the calculations or make a conclusion. However, if the sample mean is substantially less than 32 ounces and the sample standard deviation is small, it is more likely that we will reject the null hypothesis. Conversely, if the sample mean is close to 32 ounces or the sample standard deviation is large, it is less likely that we will reject the null hypothesis.

To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?

Answers

Answer:

Step-by-step explanation:

Let the number of allowable guess be x.

The difference between allowable guess and 645 must not exceed 20.

So, either,

|645 - x| ≤ 20

Or

|x - 645| ≤ 20

where that sign represents the absolute sign.

Hope this Helps!!!

Answer:

| x - 645 | = 20

665

Step-by-step explanation:

We have to guess the amount of beans in a jar to be within 20 of the actual number.

Therefore, the total has to be equal to 20.

We know that the equation required to calculate the minimum and maximum quantity of beans that will win the contest will be:

| x - 645 | = 20

But as we want is the maximum, we break the absolute value and assume "+"

Thus:

x - 645 = 20

fixed for x:

x = 20 + 645

x = 665

The maximum guess you could win is 665

Which equation can be used to find the unknown length, a, in this triangle?
A right triangle has a side with length 15 meters and hypotenuse with length 17 meters. The other side is labeled a.
A. a squared + 15 squared = 17 squared
B. 15 squared + 17 squared = a squared
C. a squared + 15 = 17 squared
D. a + 15 squared = 17 squared

Answers

Answer:

It is A.

Look at the attachment down below:

Step-by-step explanation:

The equation is used to find the unknown length (a) will be 17² =15² + a². Then the correct option is A.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A right triangle has a side with length 15 meters and a hypotenuse with length 17 meters.

The other side is labeled a.

17² =15² + a²

Then the correct option is A.

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PLEASE HELP FOR 13 POINTS AND BRAINLIEST! ;) Which symbolizes a molecule of a compoundHeBeN2NaCl Queen Elizabeth of England was unmarried, bore no sons, and was the last ruler of her direct family line. Which of the following families assumed the English throne upon Elizabeth's death in 1603? Question options: 1) Plantagenet 2) Stuart 3) Windsor 4) Hanover A 10 percent increase in income leads to a 15% decrease in the quantity of macaroni and cheese demanded but no change in the price of macaroni and cheese. From this information, we can assume: A 10 percent increase in income leads to a 15% decrease in the quantity of macaroni and cheese demanded but no change in the price of macaroni and cheese. From this information, we can assume:_______.a. macaroni is a normal good and price elasticity of demand is greater than 1. b. macaroni is an inferior good and price elasticity of supply is equal to zero.c. macaroni is an inferior good and price elasticity of supply is infinite. d. macaroni is an inferior good and price elasticity of demand is less than. Your grandparents would like to establish a trust fund that will pay you and your heirs $130,000 per year forever with the first payment 11 years from today. If the trust fund earns an annual return of 2.5 percent, how much must your grandparents deposit today? A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour. a random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour. at alpha equals 0.10, do you have enough evidence to support the county's claim? complete parts (a) through (d) below. Mason Company purchases a piece of land for $200,000. Mason Company paid $4,000 in brokerage commissions, $12,000 to clear and remove an unwanted building, $4,000 for building permits to construct a new building, $600,000 to construct a new building, and $2,000 in delinquent property taxes. What is the amount to be capitalized (debited) to the Land account from this purchase? In the context of integrating the dimensions of culture, which of the following are very useful in depicting what countries appear similar in values and to what extent they differ from other country groupings?A. Cluster distribution B. Use of pie charts C. Normal distribution D. Use of concentric circles What type of intermolecular bond occurs between two water molecules?A) dipole to dipoleB) hydrogenC) ionicD) polar covalent Write the reduction reaction of glucose to form sorbitol. List and explain the side effects caused by too much sorbitol consumption. Which branch of government is the strongest? What is the probability that a person older than 35 has a hemoglobin level less A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees. What is the value of x? Does anyone have all the answers for the GEO-HST WLD B 1570 Unit 5: Migration and Cultural Exchange Lesson 10: Migration and Cultural Exchange Unit Test? Modify the definition of the throttle class on page 35, to create a new throttle ADT, which allows the user of the ADT to specify the number of shift levels when creating objects of that class. You don't need to provide an implementation of the new throttle ADT, just the class definition. Deep ocean currents are a result of:A) DensityB) Earths RotationC) Global Wind PatternsD) All of the above whats the ratio of 14,10 and 4 Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters. HHHHHHHHHHHHHEEEEEEEEEEEELLLLLLLLLLLLPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! can some one pls Use elimination to solve each system of equations2x - y = -13x - 2y = 1 A species of a large brown bear lived in Siberia about a million years ago. Over time, the northern population became white-colored and acquired heavier fur as it blended into the snowy landscape. The southern population acquired lighter, darker-colored fur as it adapted to forest ecosystems. Eventually, they could no longer reproduce with each other. Which of these terms describes this transition? a. transmofrificationb. coincidence c. providenced. lost in translatione. speciation