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. 55° (4x - 5)° O 26 O

Paha777 [63]

Answer:

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.