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stepan [7]
3 years ago
12

Evaluate g(t) = 3.5 • 2t for t = –2

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
Evacuate g(t)=70 for t=2
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The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

7 0
3 years ago
Read 2 more answers
Tim measures the length of four grasshoppers in his backyard: 5/4cm, 7/4cm, 9/4cm, 3/4cm. What is the average length?
hodyreva [135]

Answer:

1.5 cm

Step-by-step explanation:

To find averages, you add up all the values then divide by the amount of number there are (i.e, 6, 7, 8, so there would be three numbers and therefore divide by 3)

6 0
3 years ago
An animal shelter spends 5.50 per day to care for each bird and 8.50 per Day to care for each cat and a notice that the shelter
Deffense [45]

Answer:

19 birds

Step-by-step explanation:

First, I wrote my two equations:

5.5x +8.5y = 291.5

x + y = 41

Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!

6 0
3 years ago
Two angles in a triangle have measures of 18 and 77º.<br> What is the measure of the third angle
kow [346]

Answer:

85 ° is the answer to the question

7 0
3 years ago
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While backpacking today, Mia climbed up 985 ft to the peak of the mountain and then climbed down 320 ft to a campsite. If she st
Flauer [41]
The elevation of Mia's campsite is 5,244 ft. Just add the elevation in which she started in the morning plus the 985 ft and then subtract it by 320.
6 0
3 years ago
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