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3 years ago

20. Joaquin tak 4-hours to clean a pool; Sherrie takes 1--hours. Calculate the time difference in hours. Express your answer in

Mathematics

1 answer:

Ber [7]3 years ago

3 0

The time difference is 3 hours

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Do the three points lie on one line?

padilas [110]

Answer:

Yes. No graph paper.

Step-by-step explanation:

Let's say the 3 points are A, B, C.

If A, B and C lie on one line then $m_{AB} = m_{BC} = m_{AC}$

$m_{AB} = \frac{y_{B}-y_{A} }{x_{B}-x_{A}} = \frac{2-6}{3-5} = \frac{-4}{-2} = 2\\m_{BC} = \frac{y_{C}-y_{B} }{x_{C}-x_{B}} = \frac{8-2}{6-3} = \frac{6}{3} = 2\\\\m_{AC} = \frac{y_{C}-y_{A} }{x_{C}-x_{A}} = \frac{8-6}{6-5} = \frac{2}{1} = 2\\\\$

Hence, they lie on one line.

You don't need to use a graph paper to prove it.

4 0

2 years ago

20 is how much less than 30? What percent less?

LenKa [72]

Answer:

33.3333% decrease

Step-by-step explanation:

Percent change formula: $\frac{(x-y)}{|y|} *100$ , where x is the new value and y is the starting value.

Plug in values and solve:

$\frac{20-30}{30} *100\\\frac{-10}{30} *100\\-0.3333*100\\$

-33.3333% change, or a 33.3333% decrease.

7 0

3 years ago

45 mi/h = how many ft/s

Inga [223]

237,600 ft is 45 miles

4 0

3 years ago

What is the equation of the circle in general form

adelina 88 [10]

Answer:

x² + y² + 2x + 8y − 47 = 0 B. x²+y² − 2x − 8y

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the span of the roof? A. 4 ft B. 12 ft C. 18 ft D. 24 ft

RoseWind [281]

Answer:

D. 24 ft

Step-by-step explanation:

The slope of 1/3 means the rise is 1/3 the run for each half of the span. The rise is shown as 4 ft, so the half-span is 3·4 ft = 12 ft.

The span of the roof is 24 ft.

4 0

3 years ago