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3 years ago

If you have a toy bin that is 6 feet long, 4 feet wide, and 3

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

Space equals volume, so it goes 6*4*3=72 feet^3

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What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)

Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

- 5y = - 8x + 2 ( divide all terms by - 5 )

y = $\frac{8}{5}$ x - $\frac{2}{5}$ ← in slope- intercept form

with slope m = $\frac{8}{5}$

• Parallel lines have equal slopes, hence

y = $\frac{8}{5}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = $\frac{8}{5}$ x + 6 ← in slope- intercept form

Multiply through by 5

5y = 8x + 30 ( subtract 5y from both sides )

0 = 8x - 5y + 30 ( subtract 30 from both sides )

8x - 5y = - 30 ← in standard form

3 0

3 years ago

A circle graph titled Bachelor's Degrees Earned in the United States from 2009 to 2010. 22 percent is business, 10 percent is so

Helga [31]

Answer:

a) 60 graduates

b) Business and social science.

Step-by-step explanation:

In United States, from 2009 to 2010 the Bachelor's Degrees graduates are made up of 22% for business, 10% for social science, 8% is health related, 6% is education and 54% is others. Given that a sample of 1000 college graduates where used,

a) Number of graduates with education degree is equal to 6% of the total college graduates. Therefore:

Number of graduates with education degree = 6% × 1000 = 0.06 × 1000 = 60 graduates

b) Number of graduates with business degree = 22% × 1000 = 0.22 × 1000 = 220 graduates

Number of graduates with social science degree = 10% × 1000 = 0.1 × 1000 = 100 graduates

Number of graduates with health related degree = 8% × 1000 = 0.08 × 1000 = 80 graduates

Number of graduates with other degree = 54% × 1000 = 0.54 × 1000 = 540 graduates

Since Many graduates earn degrees in fields that result in high-paying jobs, the two fields most likely pay more than the others are that of business and social science.

8 0

2 years ago

Read 2 more answers

2) AT&T charges an initial fee of $5.80 plus $0.30 per text. If Izzy has her cell phone

balu736 [363]

Answer: 50 texts

Step-by-step explanation: 20.8 - 5.80 = 15

15 ÷ .30 = 50

3 0

3 years ago

When writing numbers in base 10, we only allow coefficients of 0 through 9. Why is that?

Margaret [11]

Answer:

Because 0 counts as the first possible number. 0-9 gives you 10 possible numbers.

Step-by-step explanation:

7 0

2 years ago

A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. W

klio [65]

Answer:

10q+q+(12+q)=60

4 0

2 years ago