Baseball cards come on packages of 8 and 12. Brighton bought some of each type for a total of 72 baseball cards. How many of each package did he buy?

Answers

Answer 1
Answer: 4 packs of twelve cards and 3 packs of eight .
Answer 2
Answer: 3 packages of 8 and 4 packages of 12

12 x 4 = 48
8 x 3 = 24

48 + 24 = 72 Cards

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A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?12 ≤ x + y
12 ≥ x + y
12 ≤ 2x + 3y
12 ≥ 2x + 3y

Answers

The inequality that represents the possible ways Nina can eat 12 or more grams of protein is 12 ≤ 2x + 3y, where x is the number of cheese squares that she eats and y is the number of turkey slices that she eats. In equation, 12 ≤ 2(2) + 3(3) to  12 ≤ 4 + 9 to 12 ≤ 13.

Answer:

The letter answer is c

Step-by-step explanation:

If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]? A. 51

B. 40

C. 31

D. 20

E. 4

Answers

Calculating the value of f(x) for the given interval.

For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11

For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51

Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];

(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4

So option “E” is correct.

a population decrease from 404 million to 288 million .which of the following is the percent decrease of the population

Answers

288/404 = 0.71

Hence 0.71 x 100 = 71%
Example:
12 is 20% of 60. In order to get 12 percent of 60, all you need to do is to divide 12 with 60. To get the percent means to get the parts of 100. To get it in the form of percent, just multiply the quotient by 100. 12/60=.2 x 100 = 20% .

Answer:

Percentage decrease in Population = 28.71%

Step-by-step explanation:

Decrease in population = 404 Million - 288 Million = 116 Million

Percentage decrease in Population = (116 / 404)*100 = 28.71%

Is relation t a function? Is the inverse of relations t a function? Relation t x 0 1 2 3
y -2 1 10 2

Answers

Relation t is a function because it has no repeating x values

the inverse of relation t is when u switch the x and y values.
ex. inverse of (0,-2) is (-2,0).

and yes, the inverse of relation t is also a function because there are no repeating x values.

Which figures appear to be congruent?An image of 5 triangles on a 14 by 12 grid is shown.Triangle 1 has a base that is 4 units long. The upper vertex is 4 units above the midpoint of the base. To the right, triangle 2 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned in the triangle at the lower left vertex. Below triangle 1, triangle 3 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 4 is toward the center of the grid. It has a horizontal leg that is 1 unit long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 5 is to the lower right. It has a horizontal leg that is 6 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the lower left vertex.
A. 1, 2, and 3
B. 1 and 4
C. 1 and 5
D. 2 and 3

Answers

Answer:

D

Step-by-step explanation:

An employee worked 160.5 hours in may, 165.75 hours in June and 152.25 hours in july. What was the average number of hours you worked each month?

Answers

To find the average, you have to add everything up and divide by the amount that you have. In this case, you need to add together 160.5, 165.75 and 152.25, and then divide by 3.
160.5+165.75+152.25= 478.5
You've then got to divide this by three.
478.5/3= 159.5
Therefore, the average hour worked each month bu the employee is 159.5
Hope this helps :)