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4 years ago

Mhanifa please help this is due asap

Mathematics

1 answer:

Vsevolod [243]4 years ago

3 0

Answer:

x/ 6 = 4/8 ⇒ x = 3
y/10 = 4/8 ⇒ y = 5

x / 12 = 10 / 15
x = 12*2/3
x = 8

x/ (x + 2) = 5/6
6x = 5x + 10
x = 10

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4 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

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∴ 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

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4 years ago