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Gennadij [26K]
3 years ago
6

From the set {4, 8, 16}, use substitution to determine which value of x makes the equation true.

Mathematics
1 answer:
Annette [7]3 years ago
6 0

Answer:

8

Step-by-step explanation:

Use substitution: substitute each number from the set in for x, and see if the result from dividing is 45.

4

360/x=45

360/4=90

90 ≠ 45

Therefore, 4 does not make the equation true

8

360/x=45

360/8=45

45=45

Therefore, 8 does make the equation true.

16

360/x=45

360/16=22.5

22.5 ≠ 45

Therefore, 16 does not make the equation true.

So, 8 is the value that makes the equation true

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a local hamburger shop sold a combined total of 770 burgers and cheeseburgers on Monday there were 70 more cheeseburger sold tha
aliina [53]
Let the number of hamburgers = h

Let the number of cheeseburgers = c

Now we translate the given information into equations.

"combined total of 770 [ham]burgers and cheeseburgers"
h + c = 770

<span>"there were 70 more cheeseburger sold than hamburgers"
</span><span>
</span><span>c = h + 70
</span><span>
</span><span>
</span><span>Our system of equations is
</span><span>
</span><span>
</span><span />h + c = 770
c = h + 70

The second equation is already solved for c, so we replace c of the first equation with h + 70.
h + h + 70 = 770
2h + 70 = 770
2h = 700
h = 350

Answer:  350 hamburgers were sold on Monday.


4 0
3 years ago
PLEASE HELP WITH MATH!
yawa3891 [41]
I will be glad to help you in the comments. I do need to know though, what is the class this is presented in? Is this algebra, or calculus? Depending on the class, we have different approaches.
8 0
3 years ago
Mike’s mom made a batch of soup that was 8 4/5 cups. Each serving is 1 1/2 cups. How many servings of soup did Mike’s mom make?
kipiarov [429]

Answer:

B) 5 and 13/15 servings

Step-by-step explanation:

Divide 8 4/5 by 1 1/2 to get 5 and 13/15

6 0
3 years ago
Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the m
prohojiy [21]
Seeing as it is a isosceles triangle, two sides are the same length as each other.
We have been given the base, at 24cm, the two other sides must be the base taken away from the perimeter;
96-24 = 72

Then because the sides are of equal length, you can divide 72 by 2 to get the final length of one of the side lengths:
72/2 = 36

The side lengths are 36cm
The base length is 24 cm,
Hope this helps! :)
4 0
4 years ago
F(x) = x² + 3x, g(x) = 5x + 2, (f - g)(3) = ?
ad-work [718]

Answer:

1

Step-by-step explanation:

f(x) = x² + 3x

g(x) = 5x + 2

f(3) = 3² + 3 x 3

f(3) = 9 + 9

f(3) = 18

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

(f - g)(3) = 18 - 17

(f - g)(3) = 1.

6 0
2 years ago
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