Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.

Answer:

7.5 or 7 1/2

Step-by-step explanation:

Answer:

It comes from you :)

Answer:

The chief way the government gets the money it spends is through taxation. Figure 1 shows the relative sizes of sources of federal government tax revenues. Forty-five percent of federal tax revenue comes from individuals' personal income taxes. Another 39 percent comes from Social Security and Medicare withholdings.

Step-by-step explanation:

Answer:

y = -x + 5

y - 0 = - (x - 8)

y = -x + 8

Step-by-step explanation:

The required equation of the line is y = 8 - x.

Given that,
To determine an equation of the line that passes through the point (8,0) and is parallel to the line x+y=5

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Given equation,

x+y=5
y = -x + 5
m = -1
Since the slope of parallel lines are equals.
So the equation of the line is given as, which is passing by (8,0)
y - 0 = -1 (x - 8)
y = 8 - x

Thus, the required equation of the line is y = 8 - x.

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Answer:

Monomial

Step-by-step explanation:

A binomial has 2 terms(e.g. 2x + 3)

A trinomial has 3 terms(e.g. [tex]2x^{2} + 2x + 5x^{3}[/tex] )

Answer:

$8

Step-by-step explanation:

6×24=144

336-144=192

192÷24=8

the admission fee was $8 for one student.

Answer:

31 days?

Step-by-step explanation:

There are 31 days from Janurary 13 to Feburary 13.

There are total 31 days in a monthly billing of cycle.

What is mean by Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Some of the measure units are to measure them.

Given that;

Last date for a monthly billing cycle is Feb 13.

Now,

Find the days for monthly billing as;

Since, Last date for a monthly billing cycle is Feb 13.

So, Its start with 13 Jan for monthly billing.

Since, There are 30 or 31 days in every Month of a year.

So, From 13 Jan to 13 Feb, it take one month for monthly billing of cycle.

And, It is equal to 31 days.

That's mean; There are 31 days in between 13 Jan to 13 Feb.

Therefore, There are total 31 days in a monthly billing of cycle.

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Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

It would be C, because when you find the length using th pythagreon theorem... you can begin to see the relationship through all of the figures and side lengths... Make sense?

Answer: The original price is $317.3885 or $317.38

Step-by-step explanation: Okay So first I went on google then I put

275.99 - 15% and got 234.5915                                                                                              So then I put 275.99-234.5915 and got 41.3985                                                                  Then I put 275.99+41.3985 and got 317.3885                                                                           So the original price is $317.3885 or $317.38

I Hoped This Helped

Bo teaches 16 classes per week and Erica teaches 20 classes per week.

To find out how many yoga classes Bo and Erica each teach per week, we can set up a system of equations based on the given information.

Let B represent the number of classes Bo teaches per week. Let E represent the number of classes Erica teaches per week.

According to the problem, the total number of classes taught by Bo and Erica is 36:

Equation 1: B + E = 36

Also, we know that Erica teaches 12 fewer than twice as many classes as Bo:

Equation 2: E = 2B - 12

We can substitute the expression for E from Equation 2 into Equation 1:

B + (2B - 12) = 36

Simplify and solve for B:

So, Bo teaches 16 classes per week. Now we can find out how many classes Erica teaches by substituting B back into Equation 2:

E = 2(16) - 12

E = 32 - 12

E = 20

Therefore, Erica teaches 20 classes per week.

Thus, Bo teaches 16 classes per week and Erica teaches 20 classes per week.

Answer:

The answer is 4√2 ft i.e (5.66ft)

Step-by-step explanation:

The length, width and height of a rectangular box are all perpendicular.

This means the length of the diagonal is the Pythagorean distance of the three sides.

So, square of diagonal = L^2 + W^2 + H^2

So,

100 = 64 + 4 + H^2

H^2 = 100 - 68 = 32

H = √32 = 4√2 = 5.66ft

Answer:

A unit rate must have a denominator of one:

n/1  

So you would get n by dividing 112 by 8: 112 divided by 8 = 14 so n = 14.

14/1 or $14 p/ hr

Answer:

56,000.0

Step-by-step explanation:

The number 6 is in the nearest thousand. To round, you look at the number in front of the number you are trying to round and decide if that number is higher or lower than five. If the number is higher than 5, round up to the next highest number. If the number is lower than 5, the number stays the same.

Final answer:

To round 56,291.8 to the nearest thousand, observe the hundreds digit; it's 2, less than 5, so we keep 56,000 and replace subsequent digits with zeros, giving a rounded figure of 56,000.

Explanation:

To round 56,291.8 to the nearest thousand, we need to look at the hundreds place, which is 2 in this case. Since this is less than 5, we don't round up the thousands place. Therefore, we keep the number 56,000 as it is without increasing the thousand's value. However, since we are rounding to the nearest thousand, we replace the hundreds, tens, ones, and decimal places with zeros, resulting in the final rounded number being 56,000.

Answer:

62.8m

Step-by-step explanation:

Answer:

C = 20pi m  or approximately 62.8 m

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

  = 2* pi *10

  = 20 pi

We can approximate pi by 3.14

  = 20*3.14

  62.8

Answer:

16

Step-by-step explanation:

Answer:

the missing side length for the shape with a perimeter of 43 m. is  12

Step-by-step explanation:

the missing side length for the shape with a perimeter of  62 ft is 16

the missing side length for the shape with a perimeter of  33 cm is 5

the missing side length for the shape with a perimeter of  68 in is 24

The steps to evaluate a logarithm.

- Identify the base of the logarithm.

- Rewrite the logarithm in exponential form with the base as the base of the exponent and the argument as the result of the exponentiation.

- Simplify the exponential expression.

- If the result is a fraction, simplify it if possible.

- If the result is a decimal or irrational number, use a calculator to get an approximate value.

A logarithm is a mathematical function that measures the relationship between the relative sizes of two quantities.

It is defined as the inverse of exponentiation.

That is, if [tex]a^b[/tex] = c then [tex]log_ac[/tex] = b, where a is the base of the logarithm, b is the exponent, and c is the result of the exponentiation.

We have,

To evaluate a logarithm,

Follow these steps:

- Identify the base of the logarithm.

- Rewrite the logarithm in exponential form with the base as the base of the exponent and the argument as the result of the exponentiation.

- Simplify the exponential expression.

- If the result is a fraction, simplify it if possible.

- If the result is a decimal or irrational number, use a calculator to get an approximate value.

For example,

To evaluate [tex]log_28[/tex].

Follow these steps:

- The base of the logarithm is 2.

- Rewrite the logarithm in exponential form:

2³ = 8

- The exponential expression simplifies to 8.

- No further simplification is necessary.

The exact value is 2³= 8.

Thus,

To evaluate a logarithm follow the steps above.

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Final answer:

To evaluate a logarithm, use the calculator's log button for the common logarithm or calculate 10 raised to the power of the logarithmic value for the inverse log. Logarithmic properties simplify expressions by converting multiplication into addition and exponents into multiplication.

Explanation:

Understanding and Evaluating Logarithms

To evaluate a logarithm, one can use a calculator's log button to find the common logarithm, which is based on base 10. If you have a logarithm and wish to find the actual number it represents, you take the inverse log of the logarithm. This can also be expressed as 10 to the power of the logarithmic value.

For instance, to evaluate log(100), you would press the log button on your calculator and then enter 100. The result would be 2, since 10^2 = 100. If you have the logarithm value, say 3, and want to find the number it corresponds to, calculate 10^3, which equals 1000.

Furthermore, logarithmic properties can be used to simplify expressions and solve equations. If you take the log of two numbers being multiplied, you can add their individual logs. Additionally, taking the log of a number raised to an exponent allows you to move the exponent in front of the log, thus multiplying the exponent by the log of the number.

During the seventeenth century, the principle of the logarithm was developed by Napier. Logarithms transform multiplication into addition, which simplifies many computations, like using antilogarithms and slide rules for multiplication.

so the answer is 161.85.Hope this will help u...:-D

Answer:

hope it helps uh........

Answer:

Step-by-step explanation:

answer D would also be true

Answer:

Step-by-step explanation:

answer D would also be true

Answer:

Option choice A

or 3755.4 m2

Step-by-step explanation:

you multiply all the number together

Answer:

80%

Step-by-step explanation:

20% of 100 is 20, 100-20 = 80

Final answer:

To find the equation of the line passing through two given points, we can use the slope-intercept form of a line. The equation of the line passing through (-5,2) and (9,0) is y = -1/7x + 9/7.

Explanation:

To find the equation of the line that passes through the points (-5,2) and (9,0), we can use the slope-intercept form of a line, y = mx + b. First, we need to find the slope (m) of the line. The slope is given by the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in the values, m = (0 - 2)/(9 - (-5)) = -2/14 = -1/7.

Next, we can choose one of the points and plug in its coordinates along with the slope into the equation y = mx + b to solve for b. Let's choose the point (-5,2): 2 = (-1/7)(-5) + b. Simplifying the equation, 2 = 5/7 + b. Subtracting 5/7 from both sides, 2 - 5/7 = b. Getting a common denominator, 14/7 - 5/7 = b. So, b = 9/7.

Finally, we can substitute the values of m and b into the equation y = mx + b to get the equation of the line: y = -1/7x + 9/7.

Answer:

20% decrease

Step-by-step explanation:

Start by dividing 40 by 50.

40/50 = 0.8

0.8 is the decimal form of 80%. So now we know that 40 is 80% of 50. This means that the remaining 20% is the difference between the books read in November and December.

Answer:

$269.50 was Artie's gross pay

Step-by-step explanation:

12.25 (pay per hour) times 22 (hours worked that week) = $269.50 (gross pay)

Answer:

no

Step-by-step explanation:

Answer: false

Step-by-step explanation:

Answer:

[tex]21/ \frac {1}{8}[/tex]

Step-by-step explanation:

Since we're given that a batch requires 3 and one fourths cups of sugar, this is written as

[tex]3/ \frac {1}{4}[/tex]

If she wants 6.5 batches then we just cross multiply

1 batch=[tex]3/ \frac {1}{4}[/tex]

6.5 batches=x

X=[tex]6.5\times 3/ \frac {1}{4}[/tex]

X=[tex]6/ \frac {1}{2}\times 3/ \frac {1}{4}[/tex]

X=[tex]\frac {13}{2}\times \frac {13}{4}[/tex]

X=[tex]\frac {169}{8}[/tex]

X=[tex]21/ \frac {1}{8}[/tex]

Answer:

n ≥ 80/5

n ≥ 16

Step-by-step explanation:

please see the attached file for more explanation

Answer:

one dozen = 12 so 30 dozens would be 30 *12

Step-by-step explanation:

Answer:

it basicly means 12x30

so if there is an answer 360

Step-by-step explanation:

Step-by-step explanation:

-7+28m=26m-39

28m-26m=7-39

2m=-32

m=-16

Answer:

For the prime numbers it's 15/50 or 3/10. For it to be at least 20 it's 31/50. For both to happen at the same time it's 7/15.

Step-by-step explanation:

The prime numbers between 1 and 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.

50-19=31 so 31/50

The probability of drawing a prime number that is at least 20 from a bucket of 50 numbers is 0.2, or 20%.

In this problem, you are being asked to find the probability that a number selected at random from a pool of 50, numbered 1 to 50, is both at least 20 and a prime number. In this case, let's first consider the prime numbers between 1 and 50, of which there are 15 (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47). However, we are looking for prime numbers that are also at least 20. This leaves us with 10 prime numbers (23, 29, 31, 37, 41, 43, 47).

With these 10 prime numbers, and 50 total numbers to choose from, the probability can thus be calculated by dividing the number of successful outcomes by the total number of outcomes. Therefore, the probability P(at least 20 | prime number) is 10/50 or 0.2. This means there is a 20% chance of randomly drawing a number from the bucket that is least 20 and also a prime number.

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The length of rectangle is 105 cm and width is 98 cm.

Step-by-step explanation:

Given,

Perimeter of rectangle = 406 cm

Let,

w be the width of rectangle

Length of rectangle = w+7

We know that

Perimeter of rectangle = 2(Length + Width)

[tex]406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392[/tex]

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{392}{4}\\w=98[/tex]

Width of rectangle = 98 cm

Length of rectangle = 98+7 = 105 cm

The length of rectangle is 105 cm and width is 98 cm.