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S_A_V [24]
3 years ago
15

Which expressions are equivalent to 2(-6c + 3) + 4c

Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

A and B

Step-by-step explanation:

2(-6c + 3) + 4c

According to PEMDAS, we should evaluate the parentheses first.

However, the parentheses are already simplified completely.

Now we look for exponents. However, there are no exponents.

Next is multiplication. We can see there is a 2 directly outside of the parentheses. Distribute the 2 across each term in the parentheses.

-12c + 6 + 4c

Now combine like terms with addition.

-8c + 6

We can see that A. -8c + 6 is an answer choice.

Let's look at B. 3(-4c + 2) + 4c

Following the same steps, we will move on to multiplication.

-12c + 6 + 4c

Combine like terms with addition.

-8c + 6

This is also an answer choice.

Hope this helps!

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Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour.
iris [78.8K]

Answer:

Rate = 0.2167\ fl\ oz/hour

Step-by-step explanation:

Given

Rate = \frac{91\ fl\ oz}{2.5\ weeks}

Required

Express the rate as per hour

Rate = \frac{91\ fl\ oz}{2.5\ weeks}

There are 168 hours in  a week;

So, the rate becomes

Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}

Rate = \frac{91\ fl\ oz}{420\ hours}

Rate = 0.2167\ fl\ oz/hour

Hence;

The equivalent of the given rate is 0.2167\ fl\ oz/hour

8 0
3 years ago
How mamy feet are in 5 yards?? Explain how you caculated you answer
puteri [66]
There is 15 feet in 5 yards.

To find this, you would need to know:

1 yard = 3 feet

Since we know every 1 yard contains 3 feet, we can do 5*3 to get the number of feet that are in 5 yards.
6 0
3 years ago
Read 2 more answers
3x<img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-13x%2B4" id="TexFormula1" title="3x^{2} -13x+4" alt="3x^{2} -13x+4" align="a
den301095 [7]

Answer:

46790

Step-by-step explanation:

3 0
3 years ago
In a certain data distribution, 85 is 0.25 standard deviation above the mean and 50 is 1.5 standard deviations below the mean. W
Oxana [17]

Answer:

The mean is 80 and the standard deviation is 20. Therefore we have

65 is 0.75 standard deviation below the mean.

Step-by-step explanation:

z = \frac{x-\mu}{\sigma}

Since 85 is 0.25 standard deviations above the mean we have

0.25 = \frac{85-\mu}{\sigma} or 0.25·σ  = 85 - μ......1

1.5 = \frac{\mu-50}{\sigma} or 1.5·σ  = μ - 50..............2

From 1 we have σ = 340 - 4·μ substituting into 2 gives

1.5·(340 - 4·μ) =  μ - 50 ⇒ 510 - 6·μ = μ - 50

7·μ = 560 or μ = 80

Therefore σ = 340 - 4·μ = 340 - 4·80 = 20

A value, x, 0.75 standard deviation below the mean is given by

0.75 = \frac{80-x}{20} which gives 15 = 80 - x or

x = 65.

8 0
3 years ago
What is the order of operations to solve this problem?<br> 10 x 5 + 2 / 2 = 60
Slav-nsk [51]

Simply remember PEMDAS:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

You perform these actions from left to right.

However in this case it is not possible for it to equal 60.

8 0
4 years ago
Read 2 more answers
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