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Salsk061 [2.6K]
2 years ago
10

4(x - 2 + y) =( Apply a distribute property to create an equivalent expression

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

4x + 4y - 8

Step-by-step explanation:

Step 1: Distributive Property

Distributive property says you would multiple all the terms inside the bracket by the coefficent infront of the bracket

Step 2: Solve

4x-8+4y\\4x+4y-8

Step 3: Therefore Statement

Therefore 4(x - 2 + y) simplifies into 4x + 4y - 8

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A train leaves Boston at noon going to NYC with a speed of 60 mph. Two hours later, an express train leaves NYC going to Boston
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They will meet at 2:40 I think?
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2 years ago
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A swimming pool is 22 feet long and 18 feet wide. How many feet of fencing are needed to enclose the pool
alexira [117]

Answer:

80 feet

Step-by-step explanation:

length of pool = 22    ,  width of pool = 18

feet required for fencing the pool = 2 (l +b)

= 2 ( 22+18)

=2*40

=80feet

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2 years ago
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A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b
alexgriva [62]
-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
\text {Volume of a sphere =}   \dfrac{4}{3}  \pi r^3

\dfrac{4}{3}  \pi r^3 = 140

\pi r^3 = 140 \times  \dfrac{3}{4}

\pi r^3 = 105

r^3 =  \dfrac{105}{ \pi}

r = 3.22 \ cm

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
\text {Volume of the cylinder = } \pi r^2h

\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)

\text {Volume of the cylinder = } 209.77 \ cm^3

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
\text {Volume of gap = } 209.77 - 140

\text {Volume of gap = } 69.77 \ cm^3

-----------------------------------------------------------
\bf \text {Answer : } 69.77 \cm^3
-----------------------------------------------------------

6 0
3 years ago
Find the quotient of: (-20xyz) (5zy)​
vichka [17]

Answer:

the answer would be -4x

Step-by-step explanation:

dividing (-20xyz) by (5zy) = 3

5 0
3 years ago
A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

7 0
2 years ago
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