MATHEMATICS MIDDLE SCHOOL

Write pqqqqrr in exponential form.
p·q^4·r^2

Answers

Answer 1
Answer:

Answer:

pqqqqrr = p.q^4.r^2

Step-by-step explanation:

Write any number or value in exponential form simply means a numeric form involving exponents.

The exponents for each of the number in a value represent the number of times that number or value appears as a factor.

For example, here in this case, we have one p, 4 q's and 2 r's so we can write it in exponential form as:

pqqqqrr = p.q^4.r^2

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A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours.

The Question is in the file below. (Khan Academy)

Answers

that little squaer angle means right angle or 90 degrees

the black line and the red line cross

therefor the oposte angles are eqal measure
7x=90+x
solve
minus x
6x=90
divide 6
x=15

x=15

-6-8(-8x-3) please help me and with how you did it

Answers

Answer:

x = 9/32

Step-by-step explanation:

I believe you may have meant -6 equals, so here is how I did it

-6 = 8(-8x-3)

-6 = 64x - 24

64x = 18

x = 9/32

A bakery makes vanilla and chocolate cookies. You can choose three different flavor icings. How Many possible choices are there for buying a cookie?

Answers

6...

Reason for this is because you have chocolate cookies with three types of icing (3) and vanilla cookies with three types of icing (3)

3+3= 6

19. Bella is putting down patches of sodto start a new lawn. She has 20 square

yards of sod. Give the dimensions of two

different rectangular regions that she can

cover with the sod. What is the perimeter

of each region?

Answers

Answer:

The dimensions of the two different rectangular regions are;

1st Arrangement:

W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards

2nd Arrangement:

W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards

The perimeter of the two different rectangular regions are;

1st Arrangement:

P₁ = 18 yards

2nd Arrangement:

P₂ = 24 yards

Step-by-step explanation:

Bella is putting down patches of sod to start a new lawn.

She has 20 square yards of sod.

We are asked to provide the dimensions of two different rectangular regions that she can cover with the sod.

Recall that a rectangle has an area given by

Area = W*L

Where W is the width of the rectangle and and L is the length of the rectangle.

Since Bella has 20 square yards of sod,

20 = W*L

There are more than two such possible rectangular arrangements.

Out of them, two different possible arrangements are;

1st Arrangement:

20 = (4)*(5) = (5)*(4)

Width is 4 yards and length is 5 yards or width is 5 yards and length is 4 yards

2nd Arrangement:

20 = (2)*(10) = (10)*(2)

Width is 2 yards and length is 10 yards or width is 10 yards and length is 2 yards

Therefore, the dimensions of two  different rectangular regions are;

1st Arrangement:

W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards

2nd Arrangement:

W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards

What is the perimeter of each region?

The perimeter of a rectangular shape is given by

P = 2(W + L)

Where W is the width of the rectangle and and L is the length of the rectangle.

The perimeter of the 1st arrangement is

P₁ = 2(4 + 5)

P₁ = 2(9)

P₁ = 18 yards

The perimeter of the 2nd arrangement is

P₂ = 2(2 + 10)

P₂ = 2(12)

P₂ = 24 yards

So the perimeter of the 1st arrangement is 18 yards and the perimeter of the 2nd arrangement is 24 yards.

Note:

Another possible arrangement is,

20 = (1)*(20) = (20)*(1)

Width is 1 yard and length is 20 yards or width is 20 yards and length is 1 yard.

Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sales she makes, and earns a 5% commission on all computer sales. Harper made a total of $2600 in sales and earned $137 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Harper made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

Answers

Answer:

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

Explanation:

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

16% of 95 is what number?

Answers

16% of 95 is equal to 15.2
IT would be 15.2. :)
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