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DochEvi [55]
3 years ago
11

The sum of 4 consecutive integers is 130

Mathematics
1 answer:
gogolik [260]3 years ago
7 0

x + x + 1 + x + 2 + x + 3 = 130

Combine like terms.

4x + 6 = 130

Subtract 6 from both sides.

4x = 124

Divide both sides by 4.

x = 31

<h3>The first digit is 31.</h3><h3>The second is 32.</h3><h3>The third is 33.</h3><h3>The fourth if 34.</h3>
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Taylor is using money from her coin try to go to the fair. She wants to spend no more than $17 there. She has $8 in bills and so
ZanzabumX [31]
There are 4 quarters in dollars. Keep that in mind.

Since Taylor is spending no more than 17 dollars, she probably only has 17 dollars. We already know that she has 8 dollars in bills, so we can subtract 8 dollars from 17 dollars because we need to find the amount of dollars in quarters. 

The answer for that is 9 dollars. Since there are 4 quarters in the dollars, you need to multiply 9 by 4 to find the amount of quarters. 
4 0
3 years ago
Read 2 more answers
For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

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

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

-0.25*100=\frac{x-500}{100}*100

-25=x-500

-25+500=x-500+500

x=475

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
2 years ago
darren has 3/4 of a gallon of soil.he needs to plant 5 small plants.if he splits the soil evenly between the plants.how much soi
nika2105 [10]

Number of plants = 5

Amount of soil present for 5 plants = 3/4 gallons

Now here we have to find how much soil will each plant get.

So we have to apply unitary method here to find how much would each plant get the share of soil.

Soil required by 5 plants = 3/4 gallons

Soil required by 1 plant = 3/4 divided by 5 = 3/20 gallons

Answer: Each plant will get 3/20 gallons of soil.

7 0
3 years ago
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Evaluate the following expression will give branliest<br> 256 to the power of 5/8
Nana76 [90]

Answer:

32

Step-by-step explanation:

The formula needed to solve this question by hand is:

x^{\frac{m}{n}} =\sqrt[n]{x^{m}}

256^(5/8) = 8th root of 256^5

256^(5/8) = 8th root of 1280

<u>256^(5/8) = 32</u>

5 0
2 years ago
Read 2 more answers
Does anyone understand how to solve this?
Nataliya [291]

a f(a) is the function f(x) where x is replaced by a.

So we have

(3x^2 + x + 3 - (3a^2 + a + 3)) / ( x - a)

= (3x^2 - 3a^2 + x - a) / (x = a) Answer

b (3(x + h)^2 + x + h + 3 - (3x^2 + x + 3)) / h

= (3x^2 + 6xh + 3h^2 + x + h - 3x^2 - x - 3) ) / h

= (6xh + h + 3 h^2) / h

= 6x + 3h + 1 Answer



6 0
3 years ago
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