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3 years ago

7

What is factoring? Why is it important?

2 answers:

mel-nik [20]3 years ago

4 0

Because it specialises the groups that go into the number.

Black_prince [1.1K]3 years ago

3 0

Factoring allows us to solve things and helps break down numbers

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What is the component form and magnitude of the

satela [25.4K]

Answer:

<-7,3> and 157°

Step-by-step explanation:

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2 years ago

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A string of decorative lights is 28 feet long. The first light on the string is 16 inches from the plug. If the lights on the st

lilavasa [31]

Well if there is 28 feet, that would be (12x28) 336 inches, and 16 inches between the plug and the first light, there would be only 320 inches left for lights. therefore, if there are 4 inches between each light, we divide 320 by 4. the answer we get is 80. there are 80 lights.

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3 years ago

V=1/2at^2 solve for t

malfutka [58]

$\dfrac{1}{2}at^2=V\qquad\text{multiply both sides by 2}\\\\at^2=2V\qquad\text{divide both sides by}\ a\neq0\\\\t^2=\dfrac{2V}{a}\to\boxed{t=\sqrt{\dfrac{2V}{a}}}$

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3 years ago

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

2 years ago

Milo has 2 hours of free time. He spends 2/4 of an hour with his dog. He spends 3/4 of an hour drawing. What fraction of an hour

blagie [28]

Answer: 3/4 of an hour left.

Step-by-step explanation:

Step 1: 2 hours = 4/4 +4/4

Step 2: 4/4 - 2/4 = 2/4

Step 3: 4/4 - 3/4 = 1/4

Step 4: 2/4 + 1/4= 3/4

3 0

3 years ago