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xz_007 [3.2K]
2 years ago
10

0.75(4x + 2) = 5 - (x + 1.5) X =

Mathematics
2 answers:
djverab [1.8K]2 years ago
7 0

Answer:

The answer is x=1/2 or x=0.5

Rudiy272 years ago
7 0

Answer:

x = 0.5

Step-by-step explanation:

0.75(4x + 2) = 5 - (x + 1.5)

3x + 1.5 = 5 - x - 1.5

3x + 1.5 = -x + 3.5

3x + x = 3.5 - 1.5

4x = 2

x = 0.5

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
Given point B is located at
ELEN [110]

Answer: \Large\boxed{Point~B'~=~(-4,~-2)}

Step-by-step explanation:

<u>Given information</u>

Point B = (-2, -4)

Reflection line: y = x

<u>Concept:</u>

When reflecting over the line y = x, the position of y and x in the original coordinate switches places.

This is because it is " y = x ", assuming that they could interchange

<u>Find the coordinate of Point B'</u>

Original (x, y) = (-2, -4)

Point B' = (x', y') = (y, x) = \Large\boxed{(-4,~-2)}

<em>Please refer to the attachment below for a graphical understanding</em>

Hope this helps!! :)

Please let me know if you have any questions

4 0
1 year ago
11)
Alinara [238K]

Answer:

92

Step-by-step explanation:

3 0
3 years ago
15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such
Luden [163]

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

5x + 2y = 215 (2)

Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

5x + 2y = 215 (2)

5(29) + 2y = 215

145 + 2y = 215

2y = 215 - 145

2y = 70

y = 70/2

y = 35

x = cost of blouse = $29

y = cost of skirt = $35

How much do 5 such blouses cost?

cost of a blouse = $29

Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145

5 0
2 years ago
What y’all think? I just can’t decide : / (will report unnecessary commentary)
horsena [70]

Answer:

That's the right answer.

Step-by-step explanation:

2x+3=3x

Subtract 2x from both sides

3=x or x=3

4 0
3 years ago
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