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3 years ago

Solve the inequality using the Distributive Property. -4(y-6) ≤ (-9+y)(-2)

Mathematics

1 answer:

iragen [17]3 years ago

8 0

Answer:

3 ≤ y

Step-by-step explanation:

-4(y-6) ≤ (-9+y)(-2)

Distribute

-4y +24 ≤ 18 -2y

Add 4y to each side

-4y+4y +24 ≤ 18 -2y+4y

24≤ 18 +2y

Subtract 18 from each side

24-18≤ 18-18 +2y

6 ≤ 2y

Divide by 2

6/2≤ 2y/2

3 ≤ y

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The volume of a storage tank is 1695.6 m3. The radius is 6m. How tall is the storage tank?

Andreas93 [3]

Answer:

the storage tank is a cylinder.

The formule to calculate the volume is:

$v =\pi{r}^{2} \times h$

$h = v \div \pi {r}^{2}$

$h = 1695.6 \div 36 \times \pi = 14.992$

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2 years ago

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James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server 10% of that amount.

kvasek [131]

Answer:

$66

Step-by-step explanation:

$60 *0.1 is 6. $60+6 is 66. That is the price of the whole thing

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2 years ago

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The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of

Cloud [144]

Part a : you could draw a line from each corner to the middle
This would give you 7 triangles in total

Part b : area of one triangle : 4.5*7.8 = 35.1 / 2 = 17.55in <-- area of 1 triangle

Part c : so if there are 7 triangles and the area of 1 triangle is 17.55, you would do:
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3 years ago

Find mEC. 5x - 27) (2x - 5) D

UNO [17]

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

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2 years ago

Express it in Scientific notation 48,800,000

Sidana [21]

Express it in Scientific notation

48,800,000.

The answer:

4.88 x 10⁷

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