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3 years ago

What number when substituted for the variable, makes the equation 4/5x = 20 true?

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

25
but im bad sooooooooo

ivolga24 [154]3 years ago

3 0

Sent a picture of the solution to the problem (s).

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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

2 years ago

HELP PLEASE IM IN A TIMED TESTTTT !!!

mixas84 [53]

Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7) 7 people in all

price for adult = $9 (9a) Price per child =$4 (4c)

total price =$ 43

9a +7c = 43

3 0

2 years ago

What is the slope of the line that passes through the points (3, -4) and (7, 4)?

Andrews [41]

The correct option is: Option (C) 2

Explanation:

The slope formula is = m = $\frac{y_2 - y_1}{x_2 - x_1}$

Insert the values in the above formula:

m = $\frac{4 - (-4)}{7 - 3} = \frac{8}{4} = 2$

Which is Option (C).

6 0

3 years ago

A quantity, y, varies directly as x When y=10, x=6.<br> Find xwhen y= 14.

grigory [225]

The value of x when y = 14 is 8.4

<h3 />

<h3>How to solve variation ?</h3>

y, varies directly as x. Therefore,

y ∝ x

Therefore,

y = kx

where

k =constant of proportionality

Therefore,

10 = 6k

k = 10 / 6

k = 5 / 3

Hence, when y = 14

y = kx

14 = 5 / 3 x

cross multiply

42 = 5x

x = 42 / 5

x = 8.4

learn more on variation here: brainly.com/question/20707320

#SPJ1

7 0

1 year ago

kati45 [8]

Answer:

D) 11.

Step-by-step explanation:

y = 5x + p and the point (-2, 1) is on the line, so substituting for (-2, 1):

1 = 5(-2) + p

p = 1 - 5(-2)

p = 1 + 10

p = 11.

8 0

2 years ago