The area of a rectangle with width x and length 5x is 5x2. What does the coefficient 5 mean in terms of the problem?

Answers

Answer 1
Answer:

Answer:

The length is 5 times the width

Step-by-step explanation:

Let

W ----> the width of the rectangle

L ----> the length of the rectangle

we know that

The area of rectangle is equal to

A=LW

In this problem we have

L=5x ----> equation A

W=x ----> equation B

substitute equation B in equation A

L=5W

therefore

The length is 5 times the width


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PLEASE ANSWER ASAP! REALLY IMPORTANT! MUST BE CORRECT! POINTS GIVEN!

Answers

 - 5/12  +  ( - 1/4) = 

Adding two negatives results in a negative

-1/4 = -3/12

-3/12 + -5/12  =  -8/12

-8/12 + 3/12    < Subtract and take the sign of the BIGGER number.

8 - 3 = 5

- 5/12

Answer:  - 5/12

                                      -5/12 - 1/4 + 3/12

To add fractions, they must all have the same denominator.
Change the -1/4 to twelfths:

               -1/4 = -3/12 .

So now the problem is

                     - 5/12 - 3/12 + 3/12

Notice that the  -3/12  and the  +3/12  knock each other out,
and all you're left with is
                                           - 5/12 .

How do you identify the opposite and the absolute value of a rational number?

Answers

Rational numbers are the numbers that can be written as the fraction of two integer

Answer: Opposites are the same distance from 0 as the number line in the opposite direction. The absolute value of any number is its distance from 0

Step-by-step explanation:

an art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall with the same number of each type of art in each row which of the following could be the number of rows

Answers

So if there are 18 paintings and 4 photographs, then they need to be divided evenly into equal groups/rows.
18÷2=9
4÷2=2

A. 2 rows can be possible with 9 paintings and 2 photographs in each row.
B. 3 rows are not possible because none of the numbers can be divided by three.
C. 4 rows cannot be possible. While 4 can be divided by 4, 18 cannot.
D. 6 rows cannot be possible because the only number that can be divided by 6 is 18, which would be three. 4 is not divisible by 6.

You were right, the answer is A. with each row containing 9 paintings and 2 photographs!

*If you have any questions or concerns, please feel free to ask me. I'll be happy to help!

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other Description

Answers

Answer: Yes, because they are similar triangles

Step-by-step explanation:

Let ABC be the right triangle with vertical side of 3 and a horizontal side of 7.

And, right angle at B,

Then, AB = 3, BC = 7 ⇒ AC = √58

Again let, DEF be the right triangle with vertical side of 9 and a horizontal side of 21.

And, right angle at E,

Then, DE = 9, EF = 21 ⇒ DF = 3√58

Thus, in triangles ABC and DEF,

Therefore,

By the property of similar triangles,

Since, in both triangles horizontal sides BC and EF are on X-axis,

Therefore,

The second one is correct

Answer:

Yes

explanation: they are similar triangles

PLEASE MARK BRANLIST

If P = a^2 + a - 1 and R = –a - 1, which expression represents P + R a) a^2 + 2
b) a^2 - 2
c) a^2 + 2a
d) a^2 + 2a - 2

Answers

P=a^2+a-1;\ R=-a-1\n\nP+R=(a^2+a-1)+(-a-1)=a^2+a-1-a-1=a^2-2\n\nAnswer:b)

How much interest did you gain if you invested in a retirement plan with a rate of 2.5% over 42 years? Your monthly deposits totaled $520

Answers

Final answer:

To calculate interest over time, you need to use the compound interest formula because monthly deposits are being made. However, without more information on how frequently the interest was compounded, we can't find the exact total interest earned from a retirement plan with a 2.5% rate over 42 years with $520 monthly deposits.

Explanation:

The question asks how much interest was gained from investing in a retirement plan with a rate of 2.5% over 42 years. The total monthly deposits were $520. To calculate this, we need to use the simple interest formula which is I=PRT, where 'I' is the interest, 'P' is the principal amount (the initial investment), 'R' is the rate of interest, and 'T' is the period of time.

However, in this case, because the deposits were made monthly, this is not a simple interest problem but a compound interest problem. In such cases, the formula to calculate compound interest (which includes the initial investment amount and the interest earned) is A = P (1 + r/n) ^ nt, where:

  • 'A' is the amount of money accumulated after n years, including interest.
  • 'P' is the principal amount (the initial amount of money)
  • 'r' is the annual interest rate (in decimal)
  • 'n' is the number of times that interest is compounded per year
  • 't' is the time the money is invested for in years

As we don't have enough information to conclude the precise amount (e.g., whether the interest was compounded annually, quarterly, monthly, or daily), we can't calculate the exact value of the interest earned.

Learn more about Compound Interest here:

brainly.com/question/14295570

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