MATHEMATICS HIGH SCHOOL

A vendor sells hot dogs and bags of potato chips. A customer buys 5 hotdogs and 2 bags of potato chips for $11.50. Another customer buys 3 hotdogs and 5 bags of potato chips for $9.75. Find the cost of each items.

Answers

Answer 1

Answer:

Answer:

Hotdogs cost $2 and potato crisps $0.75.

Step-by-step explanation:

Let the hotdogs cost $h and the crisps $p

5h + 2p = 11.5

3h + 5p = 9.75

Multiply the first equation by -5 and the second by 2:

-25h - 10p = -57.5

6h + 10p = 19.5 Adding these 2 equations:

-19h = -38

h = $2.

Substitute h = 2 into the first equation:

5h + 2p = 11.5

10 + 2p = 11.5

2p = 1.5

p = $0.75.

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Help answer 1/5x-2/3y=30 when y = 15

Answers

The value of the variable x at y = 15 will be 200.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

(1/5)x - (2/3)y = 30

Solve the equation for x, then we have

(1/5)x = 30 + (2/3)y

x = 150 + (10/3) y

The value of the variable x at y = 15 will be

x = 150 + (10/3) × 15

x = 150 + 50

x = 200

The value of the variable x at y = 15 will be 200.

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ2

$\frac{1}5x-\frac{2}3y=30$

Plug in 15 for y.

$\frac{1}5x-\frac{2}3(15)=30$

2/3 of 15 is 10.

$\frac{1}5x-10=30$

Add 10 to each side.

$\frac{1}5x=40$

Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...×5)

$\boxed{x=200}$

Give one example of when you would use the friendly numbers strategy to subtract.

Answers

I would say: when we want to substract numbers that are close to each other, but when the respective digits of the number from which the second number is subtracted are lower than in the other number.

For example, when we want to substract 18 from 21. Those two numbers are very close, but if you did it digit by digit, your would run into a problem.

So instead you can collect their differences to the friendly number 20: 21 is one number away from 20, and 18 two numbers, which makes a total of 3 numbers: and 3 is the solution!

For this case, we use the strategy of friendly numbers when subtraction is something complex to do mentally.

Let's suppose that we have the following subtraction:

$117 - 83$