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3 years ago

13

solve for the indicated variable. include all of you work in your answer. Submit you solution. P = 3r + 2s; for s

1 answer:

loris [4]3 years ago

5 0

<span>P = 3r + 2s
2s = P - 3r
s = (P - 3r)/ 2
s = P/2 - 3/2(r)

hope it help</span>

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If 3x+2y=12 and -4x+6y=24 what is the value of -x+2y

oksano4ka [1.4K]

(1) 3x+2y=12
(2) -4x+6y=24

Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2

Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24

Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13

Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13

x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13

Answer: The value of -x+2y is 108/13

6 0

3 years ago

a student has some $1 and $5 bills in his wallet. he has a total of 15 bills that ar worth $47. how much of each type of bill do

Karolina [17]

Answer:

a = 7 ($1)

b = 8 ($5)

Step-by-step explanation:

a + b = 15 | (-)

1a + 5b = 47

- a - b = - 15

a + 5b = 47

------------------ +

-a + a - b + 5b = - 15 + 47

4b = 32

b = 32 : 4

b = 8

a = 15 - 8 = 7

4 0

4 years ago

9966 [12]

The answer you’re looking for is 5.00 :)

6 0

3 years ago

Divide 17/28 by 2/3 input your answer as a reduced fraction help ASAP

Anit [1.1K]

Answer:

51/56

Step-by-step explanation:

When dividing two fractions, you can get the same result by multiplying the first fraction by the reciprocal of the second fraction.

So,

17/28 ➗ 2/3 can be rewritten as:

17/28 ❌ 3/2

Then, simply multiply the numerators and the denominators together.

17*3=51

28*2=56

So, the answer is 51/56.

This fraction is already in its simplest form, so it cannot be reduced.

7 0

3 years ago

Read 2 more answers

Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S

Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = $\sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}$

AC = $\sqrt{(2-4)^2+(1-1)^2} =2$

BC = $\sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}$

For triangle SRT we have

RS = $\sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}$

RT = $\sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2$

ST = $\sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}$

Therefore their dimensions are equal

However the side with length 2 occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0

4 years ago

Read 2 more answers