All categories

3 years ago

What is p/20=(p-4)/5?

Mathematics

1 answer:

liq [111]3 years ago

3 0

Answer:

p = $\frac{16}{3}$

Step-by-step explanation:

Given

$\frac{p}{20}$ = $\frac{p-4}{5}$ ( cross- multiply )

20(p - 4) = 5p ← distribute left side

20p - 80 = 5p ( subtract 5p from both sides )

15p - 80 = 0 ( add 80 to both sides )

15p = 80 ( divide both sides by 15 )

p = $\frac{80}{15}$ = $\frac{16}{3}$

You might be interested in

Select TWO possible values for x in the equation x2=45.

kirill [66]

Answer:

$3 \sqrt 5}$ and $-3 \sqrt 5}$

Step-by-step explanation:

Given

$x^2 = 45$

Required

Determine the values of x

$x^2 = 45$

Take square root of both sides

$\sqrt{x^2} = \±\sqrt{45}$

$x = \±\sqrt{45}$

Expand 45 as 9 * 5

$x = \±\sqrt{9 * 5}$

Split the square root

$x = \±(\sqrt{9} *\sqrt 5}$

$x = \±3 *\sqrt 5}$

$x = \±3 \sqrt 5}$

This can be further split to:

$x = 3 \sqrt 5}$ or $x = -3 \sqrt 5}$

Hence, the possible values of x are

$3 \sqrt 5}$ and $-3 \sqrt 5}$

5 0

3 years ago

Mark estimates that the distance from his house to to his school is 15.5 mi the actual distance is 14.5 mi to the nearest tenth

Kryger [21]

So the distance that he is off by is 1 mile. The question is what percent of 14.5, 1 is.
$\frac{1}{14.5} = \frac{\frac{100}{14.5}}{100} = \frac{6.9}{100}$
Take the top of the last fraction, and that's the proper percentage; 6.9%

6.9%

8 0

4 years ago

Read 2 more answers

Simplify 1 37/45 to the least you

yan [13]

3.4444444 because u only need to divide 137 by 45

3 0

3 years ago

A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Checkpoint A 1:00 PM T

storchak [24]

Average speed

Average speed between the checkpoints
distance between the checkpoints
divided by
time between the checkpoints.

Distance between the checkpoints =
(mileage at B) minus (mileage at A)
=(208)-(120) = 88 miles .

Time between the checkpoints =
time at - time at A

=(3:00 PM) - (1:00 PM) = 2 hours .

Average speed between the checkpoints =

(88 miles) / (2 hours)

=44 miles per hour .

4 0

3 years ago

At the district competition for 5th grade jump-roper of the year, the following number of jumps without stopping were recorded p

Tasya [4]

230.70 is the mean

259 is about the median

8 0

3 years ago