One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat The equation 4p + 9f = 60 represents the relationship between these quantities. 1. Determine if each pair of values could be the number of grams of protein and fat in the snack. Be prepared to explain your reasoning. b. 10.5 grams of protein and 2 grams of fat c. 8 grams of protein and 4 grams of fat

Given:

One gram of protein contains 4 calories.

One gram of fat contains 9 calories.

A snack has 60 calories from p grams of protein and f grams of fat, then the equation for this relationship is

To find:

The number of grams of protein and fat in the snack.

Solution:

We have,

        ...(i)

Here, we have two pairs to check, whether each pair of values could be the number of grams of protein and fat in the snack.

The pair of values which satisfies equation (i) are the possible solutions.

First pair of values: 10.5 grams of protein and 2 grams of fat.

Put p=10.5 and f=2 in equation (i).

Therefore, 10.5 grams of protein and 2 grams of fat are the possible values of protein and fat.

Second pair of values: 8 grams of protein and 4 grams of fat.

Put p=8 and f=4 in equation (i).

Therefore, 8 grams of protein and 4 grams of fat are not the possible values of protein and fat.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2