The length of a rectangle is 3b + 2 and the width is 9b + 6. What is the ratio of its length to its width?

Answers

Answer 1

Answer:

Final answer:

The length to width ratio of the rectangle with length 3b + 2 and width 9b + 6 is 1:3.

Explanation:

The length and width of the rectangle are given as algebraic expressions, 3b + 2 (length) and 9b + 6 (width). To find the ratio of the length to the width, you would divide the length by the width:

Ratio = (length) / (width)= (3b + 2) / (9b + 6),

which simplifies to 1/3 after dividing both parts of the ratio by 3. Therefore, the ratio of the length to width of the rectangle is 1:3.

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A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up

Answers

5 grams of the pencil have been used up.

5 grams have been used up.

2 decagrams = 20 grams

You originated with 25.

25 - 5 = 20

Therefore the answer is 5 grams.

Amy ran 3/4 mile write the distance amy ran as a decimal

Answers

we just need to perform the indicated division:
3/4 = 0.75
that is the solution as decimal, they are equivalent

Solutions

To convert fraction to decimal divide the numerator by denominator.

3 ÷ 4 = 0.75

0.75 is decimal

Richard klein works as an auto mechanic and earns the following commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales. He is guaranteed a minimum salary of $2,450.00 per month. Last month he brought in $2,500.00 in oil changes,$4,500.00 in tune ups and sold $28,200.00 in parts. What is his gross pay for the month?

Answers

Richard's gross pay for the month was $ 4,512.5.

It is required to find the gross pay for the month.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.

salary = $2,450.00 per month

Last month salary= $2,500.00 in oil changes,

tune ups=$4,500.00

sold =$28,200.00 in parts.

According to given question we have,

2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X

2,450 + 75 + 225 + 1,762.5 = X

2,450 + 2,062.5 = X

4,512.5 = X

Therefore, Richard's gross pay for the month was $ 4,512.5.

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Answer:

Step-by-step explanation:

43.7 is what percent of 9,2

Answers

1. You find, that the number 9.2 is 100% - because it's the output value of the task.

2. You need to find out what x is.

3. If 100% equals 9.2, you can write it down as 100%=9.2.

4. Now you know, that x% equals 43.7 of the output value, so we can write it down as x%=43.7.

5. Now you have two simple equations:

1) 100%=9.2

2) x%=43.7

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=9.2/43.7

7. Solution for 43.7 is what percent of 9.2

100%/x%=9.2/43.7
(100/x)*x=(9.2/43.7)*x - you multiply both sides of the equation by x
100=0.210526315789*x - you divide both sides of the equation by (0.210526315789) to get x
100/0.210526315789=x
475=x
x=475

So the answer is 475%! Hope it works!

Angie has some red and blue beads. 40% of her beads were red. When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. How many beads did Angie have in the end?

Answers

Answer:

Step-by-step explanation:

Let x represent the total number of red and blue beads

Angie has some red and blue beads. 40% of her beads were red. This means that the total number of red beads is

40/100 × x = 0.4x

The number of blue beads would be

x - 0.4x = 0.6x

When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. This means that

0.6x - 50 = 0.6x - 0.6x/3

0.6x - 50 = 0.6x - 0.2x = 0.4x

0.6x - 0.4x = 50

0.2x = 50

x = 50/0.2 = 250

The number of blue beads that Angie had initially is

0.6 × 250 = 150

The number of blue beads that Angie has left is

150 - 50 = 100 beads

The number of beads that Angie has in the end is

250 - 50 = 200 beads

Eduardo rides his bicycle for 6 hours. What was Eduardo's average speed if he rides a distance of 84 miles? Use the formula d = r x t.

Answers

d = r x t
replace the d with 84 and replace the t with 6 hours
divide 84 by 6 = 84/6
get the quotient 14
84 = 14 x 6

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