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3 years ago

Equivalent expression P+1/4p

Mathematics

1 answer:

Vilka [71]3 years ago

8 0

5/4p ,multiply and convert the equation,expand the fraction,multiply the numbers,write as a product. Hope this helps!!

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A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 seconds, th

True [87]

Answer:

$y=3x+4$

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line $(5,19)$ and $(11,37)$ .

Let us find slope of the line passing through these points.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{37-19}{11-5}$

$m=\frac{18}{6}$

$m=3$

We will write our required equation in slope-intercept form $y=mx+b$ , where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting $m=3$ and coordinates of point $(5,19)$ in slope intercept form.

$19=3\cdot 5+b$

$19=15+b$

$19-15=15-15+b$

$4=b$

Therefore, our required equation would be $y=3x+4$ .

8 0

3 years ago

A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The

Bad White [126]

Answer:

$4.9\%$

Step-by-step explanation:

we know that

To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area

Let

x ----> the area of the hole

y ----> the area of the playing game

$P=\frac{x}{y}$

we have

$y=16\ ft^2$

<em>Find the area of the hole</em>

The area of the circle (hole) is equal to

$A=\pi r^{2}$

we have

$r=1/2=0.5\ ft$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(0.5)^{2}$

$A=0.785\ ft^2$

<em>Find the probability</em>

$P=\frac{x}{y}$

we have

$x=0.785\ ft^2$

$y=16\ ft^2$

substitute

$P=\frac{0.785}{16}$

$P=0.0491$

Convert to percentage

$0.0491*100=4.91\%$

Round to the nearest tenth

$4.9\%$

5 0

3 years ago

What = 3/17 can't find it so i need help

Andrews [41]

The answer to your question is
0.176470588

6 0

3 years ago

Read 2 more answers

There were 60 points on Tom's first math test. He scored 75% of the points. How many points did Tom earn? a 60 b 45 c 15 d 50

Lana71 [14]

Multiply 60 by .75, which gives you 45 Points. The answer is B.

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3 years ago

Read 2 more answers

Write 800 as the product of its prime factors.

Alex_Xolod [135]

800|2
800|2
400|2
200|2
100|2
50|2
25|5
5|5
1

$800=2^5\cdot5^2$

8 0

3 years ago