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inessss [21]
3 years ago
5

Create an expression equivalent to 3 (4x -2) -5x+10 using the least number of terms. please show your work.

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

7x+4

Step-by-step explanation:

Distribute:

=(3)(4x)+(3)(−2)+−5x+10

=12x+−6+−5x+10

Combine Like Terms:

=12x+−6+−5x+10

=(12x+−5x)+(−6+10)

=7x+4

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A club swimming pool is 21ft wide and 41ft long. The club members want a uniform width border around the pool. They have enough
oksano4ka [1.4K]

<u>Answer-</u>

<em>Strip with </em><em>2.13 ft </em><em>width can be used. </em>

<u>Solution-</u>

A club swimming pool is 21 ft wide and 41 ft long.

Hence, the perimeter of the swimming pool is

P=2(\text{Length}+\text{Width})=2(41+21)=2(62)=124\ ft

The club members want a uniform width border around the pool.

They have enough material for 264 ft²

As they will cover the perimeter of the rectangular pool, so the length of the total used strip is equal to the perimeter of the swimming pool.

Let the width of the strip is x ft

So, the total area of the used strip is,

A=\text{Length}\times \text{Width}

Putting the values,

\Rightarrow 264=124\times x

\Rightarrow x=\dfrac{264}{124}

\Rightarrow x=2.13\ ft

Therefore, strip with 2.13 ft width can be used.

4 0
3 years ago
Find the product of -43, 7, and -21
aivan3 [116]
(-43) x 7 x (-21) = 6,321
6 0
3 years ago
Read 2 more answers
The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviatio
Scrat [10]

This question not incomplete

Complete Question

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviation of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to? Assuming percentile = 95%

Answer:

0.125

Step-by-step explanation:

Assuming for 95%

z score for 95th percentile = 1.645

We find the Probability using z table.

P(z = 1.645) = P( x ≤ 7000)

= P(x<Z) = 0.95

After 7000 hours = P > 7000

= 1 - P(x < 7000)

= 1 - 0.95

= 0.05

If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is calculated as:

(P > 7000)³

(0.05)³ = 0.125

7 0
3 years ago
Need help !Which picture shows the correct graph of |x| = 3?
lana66690 [7]

Answer:

F. Picture F

Step-by-step explanation:

4 0
3 years ago
Hey I need help with this maths question
irinina [24]

Answer:

X=4

Step-by-step explanation:

2X - 10 = -2

2X = 8

X = 8/2

X = 4

Best regards

8 0
3 years ago
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