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serious [3.7K]
3 years ago
8

Nora can do 70 push-ups in 2 minutes.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

They can both do 35 push-ups per minute, with an equal ratio between them.

Step-by-step explanation:

Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:

70/2 = X

35 = X

105/3 = X

35 = X

Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.

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1. Find the value of x.<br> 55°<br> (4x - 5)°<br> O<br> 26<br> O
Paha777 [63]

Answer:

26

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

    -50     - 50

5x = 130

/5    /5

x = 26

7 0
3 years ago
Which of the following is the inverse of the given function? Y=3x^5-4
lawyer [7]

y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

Step-by-step explanation:

   Given function y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4

   To find an inverse for any given function, which is of the form y=f(x), always swap x and y in the equation and try to get the form  x=f(y). Now, swapping back x and y, we get the inverse function.

   On swapping x and y, we get x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4

y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}

x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}

x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   Swapping back x and y, we get y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   This is the inverse function.

3 0
3 years ago
Why can't 1.07 pounds of sugar be compared to 1.23 cups of sugar?
Anuta_ua [19.1K]

Answer:

A pound is a measure of weight and a cup is a measure of volume.

Step-by-step explanation:

5 0
4 years ago
A stack of 5 books weighs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?
hjlf

Answer:  The same amount of book weighed is 14.5.

Step-by-step explanation:

So there is 5 books

9.5 pounds

9.5 + 5 = 14.5

So, Each book weighs about 14.5.

8 0
3 years ago
A medical school admits 86 new applicants every year, let y represent the number of years and a represent the total of admitted
kkurt [141]

Answer:

a = 86y

Step-by-step explanation:

Given:

Number of applicants per year = 86

Find:

Equation represent total applicants

Computation:

Assume;

Total number of years = y

Total number of applicants = a

So,

Total number of applicants = Number of applicants per year x Total number of years

a = 86 x y

a = 86y

5 0
3 years ago
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