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3 years ago

The length of a rectangle is 6 centimeters less than twice its width. The perimeter of the rectangle is 48 cm. What are the

Mathematics

1 answer:

fomenos3 years ago

6 0

Answer:

the length is 12 and the width is 9.

Step-by-step explanation:

The first step is always to assign letters to the variables. We can call length L and width W.

Since all units are in cm, unit conversion is unnecessary.

Next, set up some equations. L=2W-6 because of the first sentence of the problem. Length times width equals area, so L*W=108.

Now that there are two equations and two variables, the next step is to solve the system. I'm going to solve it by plugging in the right side of the first equation in for L in the second equation. This gives me (2W-6)*W=108. Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0. Using the quadratic formula, I get that W=9. Using the first equation, L=2*9-6=12. So the length is 12 and the width is 9.

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How is twelve divided by fifteen equal to eight.

alexira [117]

It isn't at all!

When dividing numbers, the easiest way is to imagine the values as a fraction, and then reduce that fraction. If it reduces to a core fraction (ones that you should know their decimal value without thinking), then you have your answer.

$\frac{12}{15} = \frac{4}{5} = 0.8$

We simplified our fraction by dividing the numerator and denominator by 4, which left us with $\frac{4}{5}$ , which we know is equal to 0.8.

You may be confused thinking that 0.8 is the same as 8. 0.8 is actually a tenth of the value of 8. This makes them very different values.

Below, I have also included a picture to help you memorize your common/core fractions. I recommend learning these as they will help you get through all sorts of math, from Geometry to Calculus!

8 0

2 years ago

A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon

Fittoniya [83]

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) + ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

#SPJ1

4 0

1 year ago

At a TV.repair shop, the amount charged for labor depends on the time the

Pepsi [2]

Answer:

A. Amount(hours worked)

Step-by-step explanation:

Function notation is a way of converting a written description of a function to a concise form that is easy to read.

It is another way of representing the y-value in a function, y = ƒ(something)

Let's convert the word expression to function notation:

"The amount charged for labour depends on the time the repair technician works."

"The amount depends on the hours worked."

"The amount is a function of the hours worked."

Amount = amount(hours worked)

y = a(h)

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3 years ago

Write number to make each line have the sum 7

DochEvi [55]

Write each line to make the sum 7 it say I can't tell y'all the answer dang alot of people need help I got 18 seconds to tell yall

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3 years ago

What is the value of the expression shown below? Plssssss helppppp

Mandarinka [93]

I think it’s 8 but unsure

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2 years ago