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3 years ago

Solve the formula for one of its variables using addition subtraction and/ or division

Mathematics

1 answer:

Sati [7]3 years ago

3 0

One way of doing this would be to look at the πr² as if it were a single term. Then we could divide both sides by πr², which leaves h = V/πr².

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Solve this system of equations by using substitution<br><br> 3x + 5y = 23<br> y= x + 3

Iteru [2.4K]

Answer:

x=1

y=4

(1,4)

Step-by-step explanation:

TO SOLVE FOR X:

1. Substitute y=x+3 into the equation. This should look like this:

3x+5(x+3)=23

2. Use the distributive property.

3x+5x+15=23

3. Simplify:

8x+15=23

4. Subtract 15 from both sides. It should now lool like this:

8x=8

5. Divide both sides by 8.

x=1

TO SOLVE FOR Y:

1. Take x and substitute into original statement:

3(1)+5y=23

2. Simplify:

3+5y=23

3. Subtract 3 from both sides:

5y=20

4: Simplify:

y=4

CHECK ANSWER:

y=x+3

1. Substitute your answers

4=1+3

2. Simplify

4=4

3. Check for Truth. Is 4=4?

Yes. So your final answer is:

x=1

y=4

(1,4)

6 0

3 years ago

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.

Misha Larkins [42]

Answer:

$167.2

Step-by-step explanation:

It has been given that the price of a new computer is $800.00 and refurbished computer with the same equipment has a price of $640.00.

Let us find the amount that we will save with a refurbished computer if we put the difference into the savings account for a year using simple interest formula.

$A=P(1+rt)$ , where A= Amount after t years, P=principal amount, r = interest rate (decimal form) and t=time.

Our principal amount will be the difference of prices of new computer and refurbished computer.

$\text{Principal amount}=800-640=160$

$\text{Interest rate}=\frac{4.5}{100}=0.045$

Upon substituting our given values in above formula we will get,

$\text{Amount we will save with a refurbished computer}=160(1+0.045\times 1)$

$\text{Amount we will save with a refurbished computer}=160(1+0.045)$

$\text{Amount we will save with a refurbished computer}=160(1.045)$

$\text{Amount we will save with a refurbished computer}=167.2$

Therefore, we will save $167.2 with refurbished computer when we put the difference into the savings account for a year.

5 0

3 years ago

Choose all that are correct given the equation (equation: y=1/4x+9)

NISA [10]

Options a, b, and d are all correct.
I just substituted the x values into a calculator and checked if the y value was equal as well

4 0

3 years ago

A store gives a customer 20% off if $10 or more amount of product is purchased. Otherwise the customer pays the usual price at c

Nadya [2.5K]

Answer:

The expected payment by the customer at the checkout is $9.

Step-by-step explanation:

The amount of the product is given as

$f(x)=\left \{ {{\frac{50}{x^3} \,\,\,\,\, x\geq 5 } \atop {0}} \right.$

Now the expected payment is given as

$EP=\int\limits^{10}_{5} {x f(x)} \, dx +\int\limits^{\infty}_{10} {0.8x f(x)} \, dx$

Here 0.8 x is used in the second integral because of the discount of 20% i.e. the expected price is 80% of the value such that

$\\EP=\int\limits^{10}_{5} {x \frac{50}{x^3}} \, dx +\int\limits^{\infty}_{10} {0.8x \frac{50}{x^3}} \, dx\\\\EP=\int\limits^{10}_{5} {\frac{50}{x^2}} \, dx +\int\limits^{\infty}_{10} {\frac{40}{x^2}} \, dx\\EP=[\frac{50}{-x}]_5^{10} +[\frac{40}{-x}]_{10}^{\infty} \\EP=[\frac{-50}{10}+\frac{50}{5}] +[\frac{-40}{\infty}+\frac{40}{10}]\\\\EP=-5+10+0+4\\EP=9$

The expected payment by the customer at the checkout is $9.

8 0

3 years ago

Help me please and explain so i can understand

Finger [1]

The answer is B
How i got it 2 inches of rain and 5 accidents
I hope I helped! ♥

5 0

3 years ago