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Butoxors [25]
3 years ago
8

A rectangular poster is 10 inches longer than it is wide. If the area of the poster is 171 square inches, find the dimensions of

the poster.
Mathematics
1 answer:
aivan3 [116]3 years ago
4 0
Length= 19 inches
width= 9 inches
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A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all
lora16 [44]

Answer:

13 sheep, 19 chicken

Step-by-step explanation:

You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as x and the number of chickens there are as y.

Because each sheep has 4 legs, the number of legs for each sheep would be 4x. Similarly, because each chicken has 2 legs, the number of legs for each chicken would be 2y. Each animal would have 1 head, so the number of heads would just be x and y. Because the number of legs in total are 90, 4x + 2y=90. Because the number of heads in total are 32, x+y=32.

There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, 2x+2y=64. Then, I would subtract that from the first equation, eliminating y. 2x=26. Solving for x gives 13. We can then plug that value into the second equation, making y be 32-13=19. This means that x=13 and y=19, meaning that there are 13 sheep and 19 chicken.

7 0
2 years ago
Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number
emmainna [20.7K]
The answer i got is 44/3 but as a mixed number it’s 14 2/3
6 0
3 years ago
(15P) PLEASE HELP ME ASAP NEED HELP!
olya-2409 [2.1K]

Answer:

x=7

y=2

Step-by-step explanation:

10 + 2x = -2y ➡y = -5-x

replace y with -5-x in the first equation

-5-x-x = 9➡ -2x-5 = 9 ➡-2x = 9+5 ➡ x = -7

now use this information to find value of y

y - (-7)=9 ➡y = 2

7 0
3 years ago
#20 There are 75 students.
lianna [129]

Answer:

i belief the answer is 15

Step-by-step explanation:

cause 20 percent of 75 is fifteen

6 0
4 years ago
Read 2 more answers
Please help!!!!!!!!!!!!
blagie [28]
Point-slope form is y - y1 = m (x + x1)

First you need to find m [slope] by subtract y2 and y1 and divide it by the outcome of x2 - x1

13 - (-9) = 22
-2 - 9 = -11
22/-11 = -2

Plug in the first point (as instructed) into the equation.

y - (-9) = -2 (x - 9)

Simplify the beginning.

y + [9] = [-2] (x + [-9])

(The brackets are the fill in the blanks)


7 0
3 years ago
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