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soldier1979 [14.2K]
3 years ago
11

How do you solve 7x=-35 -8x+9y=4

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:x=-5 and y=-4

Step-by-step explanation:

7x=-35

-8x+9y=4

To get x

Divide equation one by 7

7x/7=-35/7

x=-5

Substitute for x in equation ii

-8(-5)+9y=4

40+9y=4

9y=4-40

9y=-36

y=-4

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so the answer is
x =  - 2

7 0
3 years ago
A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dolla
Gennadij [26K]

A soda costs \frac{100d}{(s+2h)} cents

Step-by-step explanation:

A vendor sells h hot dogs and s sodas

  • A hot dog costs twice as much as a soda
  • The vendor takes in a total of d dollars

We need to find how many cents does a soda cost

Assume that the cost of a soda is x cents

∵ The cost of a hot dog is twice as a soda

- Twice means multiply by 2

∵ The cost of a soda = x cents

∴ The cost of a hot dog = 2x

∵ The total cost of h hot dog and s soda is $d

∵ 1 dollar = 100 cents

- Change the total cost to cents

∴ $d = d × 100 = 100d cents

∵ The vendor sells h hot dogs and s soda

∴ The total cost of h hot dog and s soda = s(x) + h(2x)

∴ The total cost of h hot dog and s soda = sx + 2hx

- Equate the total cost by 100 d

∴ sx + 2hx = 100d

- Take x as a common factor from the left hand side

∴ x(s + 2h) = 100d

- Divide both sides by (s + 2h)

∴ x=\frac{100d}{(s+2h)}

∵ x represents the cost of a soda in cents

∴ The cost of a soda is \frac{100d}{(s+2h)} cents

A soda costs \frac{100d}{(s+2h)} cents

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0
4 years ago
Please help me this question​
love history [14]

Answer:  (b) 48 cm

==========================================================

Explanation:

Divide the perimeter of the square over 4 to get the side length s.

s = P/4

s = 48/4

s = 12

The side length of the square is 12 cm. This leads to an area of...

A = s^2

A = 12^2

A = 144

The area of the square is 144 square cm.

The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.

If the length of the rectangle is 14 cm, then the width must be

W = A/L

W = 140/14

W = 10

This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)

The last step is to compute the perimeter of the rectangle

P = 2(L+W)

P = 2(14+10)

P = 2*24

P = 48

You can use the formula P = 2L+2W, but it's effectively the same thing.

The perimeter of the rectangle is 48 cm.

6 0
3 years ago
If two lines/and mare parallel, then a reflection along the line / followed by a reflection along the
Bess [88]

Answer:

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Step-by-step explanation:

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Last night Danielle had a birthday party, of the birthday cake was left over. She wanted to share the left over
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