the diameter of the sweep of the main rotor of the eh101 helicopter is 18.6 meters. A toy model of it has a sweep of 31 centimeters. What is the scale of the model?

Use long division (see attached image below) to divide 250 over 9. The image shown has a red quotient of 27 and a blue remainder of 7.

This means there will be 27 full boxes with 9 cookies each. That accounts for 27*9 = 243 cookies so far. The remaining 7 won't be able to fill a full box as we're 2 short.

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A shortcut is to use a calculator to divide 250/9 = 27.778, then you ignore the decimal portion and focus solely on the whole part 27.

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Amy will have 27 full boxes of cookies, which is determined by dividing the total number of cookies by the number of cookies per box.

To find out how many full boxes Amy will have when selling 250 chocolate chip cookies in boxes of 9, you can divide the total number of cookies by the number of cookies per box.

Number of full boxes = Total number of cookies / Cookies per box

Number of full boxes = 250 cookies / 9 cookies per box

Using division:

Number of full boxes ≈ 27.777...

Since Amy can't have a fraction of a box, she will have 27 full boxes of cookies.

To learn more about the division operation click here :

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Judy needs to buy 4 packages of cookies for her party, with each package containing 6 cookies to serve her 24 friends.

Judy wants to buy some cookies for her birthday party, ensuring each of her 24 friends receives one cookie. Cookies are sold in packages of 6. To calculate the number of packages she needs, divide the total number of friends by the number of cookies in a package.

Calculation: 24 friends ÷ 6 cookies per package = 4 packages

Judy needs to buy 4 packages of cookies to have enough for each friend to have one cookie.

Answer:

-6(p+13)

Step-by-step explanation:

-5(3p+3)+9(-7+p)

-15p-15-63+9p

-15p+9p-15-63

-6p-15-63

-6p-78

simplify

-6(p+13)

Answer:

-6p-78

Step-by-step explanation:

Khan

BTW: Its 100% correct

The car would be worth $13,000 in the year 2011.

To calculate the value of the car in the year 2011, we need to find the depreciated value of the car each year from 2007 to 2011. The value of the car depreciates by 5% each year, which means it retains 95% of its value each year. Here are the calculations:

Therefore, in the year 2011, the car would be worth $13,000 to the nearest hundred dollars.

Answer:

207,50

Step-by-step explanation:

1% = 2,5

2,5x25 = 62,5 250 - 62,5 = 187,5

2,5x8 = 20

187,5+20= 207,50

Answer:

32760 ways

Step-by-step explanation:

Suppose we all want to play different games, so 4 different games. At the first game there are 15 choices, at the 2nd game there are 14, the 3rd one there are 13 selections, and at the last there are only 12 options to select from. Then the total number of ways you can choose the 4 games is

15*14*13*12 = 32760 ways

There are 1,365 ways to choose four games out of the 15 available games.

Step 1

To find the number of ways you can choose four games out of the 15 available games, we use the combination formula:

[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]

Where  n is the total number of games (15) and  k is the number of games to choose (4).

Step 2

Plugging in the values:

[tex]\[ C(15, 4) = \frac{15!}{4!(15-4)!} \][/tex]

[tex]\[ = \frac{15!}{4! \times 11!} \][/tex]

[tex]\[ = \frac{15 \times 14 \times 13 \times 12}{4 \times 3 \times 2 \times 1} \][/tex]

[tex]\[ = \frac{32,760}{24} \][/tex]

[tex]\[ = 1,365 \][/tex]

You can choose the four games out of the 15 available games in 1,365 ways, calculated using the combination formula.

Answer:

B. 30cm³

Step-by-step explanation:

Volume of a prism=length×Breadth×Height(L×B×H)

Where Length(L)=5-cm, Breadth(B)= 2-cm Height(H)=3-cm

∴Volume=5×2×3=30 cm³

Answer: 80 miles for the first ship, and 150 miles for the other.

Explanation:

First thing we should do is correspond each number with a letter:

Let x be the distance travel by ship heading east

Let y be the distance travel by ship heading south

y = x + 70 -- (1)

sqrt(x^2 + y^2) = 170 -- (2)

Subtract (1) into (2):

sqrt(x^2 + (x + 70)^2) = 170

x^2 + x^2 + 140x + 4900 = 28900

2x^2 + 140x - 24000 = 0

x ^2 + 70x - 12000 = 0

(x - 80)(x + 150) = 0

x = 80 or -150

Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)

Subtract (3) into (1), therefore, y = 150

Hope this helps! :)

Answer:

The ladder is approx 14.21 feet long.

Step-by-step explanation:

The base of the ladder is 7 feet from the fence, which is 2 feet from the building, so it will be 9 feet from the building.

The top of the ladder will reach the window which is 11 feet from the ground.

In this way, we get a right triangle with the ladder as the hypotenuse, that we have to find.

Let the hypotenuse be x.

Using the Pythagorean Theorem, we get;

Hence, the ladder is approx 14.21 feet long.

Answer:

here is the answer

 A system of equations is a collection of two or more equations with a same set of unknowns. 

Answer:

0.0003333333 is the answer

Answer: 0.00033333333

Step-by-step explanation: U divide, or if ur having trouble with that, use Google.

Hope this helped u :)

Answer:

Δ ABC ≅ Δ FDE ≅ Δ GIH

Step-by-step explanation:

Between Δ ABC and Δ FDE, given that  

(i) AB = DF  

(ii) BC = HI and DE = HI, hence, BC = DE

(iii) ∠ B = ∠ D

Hence, by Side-Angle -Side i.e. SAS criteria Δ ABC ≅ Δ FDE

Again, between Δ ABC and Δ GIH, given that  

(i) AB = GI

(ii) BC = HI and  

(iii) ∠ B = ∠ I.

Hence, by Side-Angle-Side i.e. SAS criteria Δ ABC ≅ Δ GIH.

Therefore, Δ ABC ≅ Δ FDE ≅ Δ GIH (Answer)

Answer:

The mean income for African American households in 2008 was $ 45,613 (Rounded to the nearest dollar)

Step-by-step explanation:

1. Given the information from the table, let's calculate the mean income for African Americans households of a certain country in 2008.

For a successful work, first of all we need to take the data from two columns : Midpoint Salary and Frequency (in  thousands):

Mean income = (10,000 * 4,491) + (30,000 * 3.844) + (50,000 * 2,500) + (70,000 * 1,498) + (90,000 * 875) + (125,000 * 994) + (175,000 * 323) + (225,000 * 72)/ Sum of all the frequency (in thousands)

Mean income = (10,000 * 4,491) + (30,000 * 3.844) + (50,000 * 2,500) + (70,000 * 1,498) + (90,000 * 875) + (125,000 * 994) + (175,000 * 323) + (225,000 * 72)/ Sum of all the frequency (in thousands)

Mean income = 665'815,000/ 14,597

Mean income = $ 45,613 (Rounded to the nearest dollar)

To calculate the mean income of African American households in 2008, add up all the income amounts and divide by the number of households. Without specific data, an exact mean cannot be given.

In order to estimate the mean income for African American households in 2008, we need to use the given data set. However, without knowing the information in the data set, a concrete answer cannot be provided.

Generally, you would add up all the income amounts for all households included in the study, and then divide by the number of households. This would provide the average, or mean, income.

Here is an example using hypothetical data:

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Answer:

y=mx+b form; m is the slope

Step-by-step explanation:

So the slope would be the m

Answer: -a/b

Step-by-step explanation:

ax+by=c right?

then slope = -a/b

Answer:

[tex]\large\boxed{\bold{SLOPE}=\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have two points (0, 4) → b = 4, and (3, 5).

Calculate the slope:

[tex]m=\dfrac{5-4}{3-0}=\dfrac{1}{3}[/tex]

If you want the equation of a line, then put the value of m and b to the equation of a line:

[tex]y=\dfrac{1}{3}x+4[/tex]

Answer:

y=x+3

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(4-3)/(1-0)

m=1/1=1

y-3=1(x-0)

y-3=x

y=x+3

Answer:

The yield to maturity of the bonds is 11%

Explanation:

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= [tex]1000\times \frac{2}{100}[/tex]

=$20

Years to maturity: 20 years

Formula used:  

=[tex]\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}[/tex]

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

=[tex]\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}[/tex]

=11%

The yield to maturity of the bonds is 11%

Answer:

5 miles

Step-by-step explanation:

0.5 x 10

= 5

Answer:

5 Miles

Step-by-step explanation:

1/5 of an hour would be 12 minutes. If it is 1/2 mile every 1/5 our, you hike 1 mile for 2/5.

1/5 = 1/2

2/5 = 1

3/5 = 1 1/2

4/5 = 2

5/5 = 2 1/2

So if 1 hour is 2 1/2 miles, you multiply it by 2, or add it withh its same number, which is,

5 miles.

Answer:

60

Step-by-step explanation:

36+6=42

42+6=48

48+6=54

54+6=60

Answer:

○ C. [tex]\displaystyle y = \frac{1}{2}x + 10[/tex]

Step-by-step explanation:

9 = ½[−2] + b

−1

[tex]\displaystyle 10 = b \\ \\ y = \frac{1}{2}x + 10[/tex]

** Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so −2 becomes ½.

I am joyous to assist you anytime.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation in a standard form:

[tex]6x+3y=12[/tex]

Convert:

[tex]6x+3y=12[/tex]             subtract 6x from both sides

[tex]6x-6x+3y=-6x+12[/tex]

[tex]3y=-6x+12[/tex]              divide both sides by 3

[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}+\dfrac{12}{3}[/tex]

[tex]y=-2x+4[/tex]

Answer:

a) 1 time

b) 1.75%

Step-by-step explanation:

a) The given expression is 1,000(1.0175)^2

Here,

1,000 is the principal (Present Value); (1.0175 = 1 + 0.0175) is the compounding interest rate; and 2 is the number of period (Years).

Since two means 2nd year, therefore, the interest is compounded every year. Hence, it is annual compounding interest.

If the interest rate is compounded annually, the interest will be paid one time each year or period.

b) From part a, if we break the expression,

1,000 is the principal (Present Value); (1.0175 = 1 + 0.0175) is the compounding interest rate; and 2 is the number of period (Years).

Since the interest rate is to be compounded annually, the percentage will not affect.

(1.0175 = 1 + 0.0175) in this expression, one is added to the interest to make the future compounding value.

Therefore, 0.0175 is the interest rate. If we take it to the percentage -

0.0175 x 100 = 1.75%.

Answer:

a) 1 time

b) 1.75%

Step-by-step explanation:

yes

Answer:

a. After 2 weeks the first plant will be taller.

b. After 10 weeks the second plant will be taller.

c. After 4 weeks both the plant will be of the same height.

d. This is the condition for the height of the first plant is greater than that of the second plant.

Step-by-step explanation:

The first plant was 5 cm tall and the second plant was 4 cm.

Again, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week.

So, the height of the first plant after W weeks will be (5 + 0.5W) cm. and the height of the second plant after W weeks will be (4 + 0.75W) cm.

a. After 2 weeks the first plant will be (5 + 2× 0.5) = 6 cm.

And after 2 weeks the second plant will be (4 + 2 × 0.75) = 5.5 cm

So, after 2 weeks the first plant will be taller.

b. After 10 weeks the first plant will be (5 + 10× 0.5) = 10 cm.

And after 10 weeks the second plant will be (4 + 10 × 0.75) = 11.5 cm

So, after 10 weeks the second plant will be taller.

c. If 5 + 0.5w = 4 + 0.75w, give w = 4 weeks, then this means that after 4 weeks both the plant will be of the same height.

d. If, 5 + 0.5w > 4 + 0.75w, then it means that this condition is for the height of the first plant will be more than the second plant. (Answer)

a. After 2 weeks: First plant: 6 cm (taller), Second plant: 5.5 cm b. After 10 weeks: First plant: 10 cm. Second plant: 11.5 cm (taller) c. Solution to 5+0.5w=4+0.75w is w=4, where both plants are equal in height (5 cm). d. Inequality 5+0.5w>4+0.75w indicates the first plant is taller before w=4 weeks.

a. To determine which plant is taller at the end of 2 weeks, let's calculate their heights:

- First plant after 2 weeks: [tex]\( 5 + 0.5 \cdot 2 = 5 + 1 = 6 \)[/tex] cm

- Second plant after 2 weeks: [tex]\( 4 + 0.75 \cdot 2 = 4 + 1.5 = 5.5 \)[/tex] cm

Since 6 cm (first plant) > 5.5 cm (second plant), the first plant is taller at the end of 2 weeks.

b. Now, let's calculate their heights after 10 weeks:

- First plant after 10 weeks: [tex]\( 5 + 0.5 \cdot 10 = 5 + 5 = 10 \) cm[/tex]

- Second plant after 10 weeks: [tex]\( 4 + 0.75 \cdot 10 = 4 + 7.5 = 11.5 \) cm[/tex]

Since 11.5 cm (second plant) > 10 cm (first plant), the second plant is taller at the end of 10 weeks.

c. The equation given is [tex]\( 5 + 0.5w = 4 + 0.75w \)[/tex]. This equation represents the point in time (number of weeks, w) when both plants will have the same height. Solving for w:

[tex]\[ 5 + 0.5w = 4 + 0.75w \][/tex]

Subtract 0.5w from both sides:

[tex]\[ 5 = 4 + 0.25w \][/tex]

Subtract 4 from both sides:

[tex]\[ 1 = 0.25w \][/tex]

Divide both sides by 0.25:

[tex]\[ w = \frac{1}{0.25} = 4 \][/tex]

Therefore, w = 4  represents the number of weeks after which both plants will have the same height, which is 5 cm.

d. The inequality [tex]\( 5 + 0.5w > 4 + 0.75w \)[/tex] represents the point in time (number of weeks, w) when the first plant's height (5 cm + 0.5w) exceeds the second plant's height (4 cm + 0.75w). Solving for w:

[tex]\[ 5 + 0.5w > 4 + 0.75w \][/tex]

Subtract 4 from both sides:

[tex]\[ 1 + 0.5w > 0.75w \][/tex]

Subtract 0.5w from both sides:

[tex]\[ 1 > 0.25w \][/tex]

Divide both sides by 0.25:

[tex]\[ w < \frac{1}{0.25} = 4 \][/tex]

Therefore, the solution to [tex]\( 5 + 0.5w > 4 + 0.75w \)[/tex] represents the number of weeks w when the first plant is taller than the second plant. This happens for ( w < 4 ) weeks.

Answer:

1,450 & 1,500

Step-by-step explanation:

it occured 7 times each

sorry for my hand writing

Answer: 1.14

Step-by-step explanation:

hate how you gotta pay just to see an answer

The required sales tax on purchases of $18.95 is $1.14.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Amount = $18.95
Sales tax applies is 6% on the amount,
Now,
Sales tax is given as,
tax = amount × tax percentage / 100
tax = 18.95 × 6 / 100
tax = 1.14

Thus, the required sales tax on purchases of $18.95 is $1.14.

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Answer:Another way to graph a linear function is by using its slope m, and y-intercept. ... The y-intercept is the point on the graph when x =0 x = 0 . The graph crosses the y-axis at (0,1) .

Answer:

Step-by-step explanation:

When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis.

Answer:

a. 16 gallons

b. 32

Step-by-step explanation:

Let the full capacity of the tank is x gallons.

a. It is given that 12 gallons of water fill a tank to [tex]\frac{3}{4}[/tex] capacity.

Hence, we can write [tex]\frac{3x}{4} = 12[/tex]

⇒ [tex]x = \frac{4 \times 12}{3} = 16[/tex] gallons.

b. If the tank is filled to capacity, then there will be 16 gallons of water, with which [tex]\frac{16}{\frac{1}{2} } = 32[/tex] numbers of half-gallon bottles of be filled with water. (Answer)

Answer:

2) -2(3x - 7) = -6x + 14

3) Add 4x to both sides

4) Subtract 14 from both sides

5) Divide both sides by -2

Step-by-step explanation:

Answer: Bobby’s interquartile range is 113, while Amelia’s is 179. A lower interquartile range means Bobby’s scores are closer to the median.

Step-by-step explanation:

Answer:

his rang is 113 and amelis is 179

Step-by-step explanation: