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igor_vitrenko [27]
3 years ago
12

A quarter of the sum of a number and 20 is equivalent to 30. Find the number.

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

X = 100

Step-by-step explanation:

X + 20 over 4 = 30

1/4x + 5 = 30

-5               -5

1/4x = 25

multiply both sides by 4

x = 100

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Would someone please be able to answer this for me?
kobusy [5.1K]

//Question number 1//

When graphing an inequality there are certain things to keep in mind that make it different from an equation of a line.

Here are some of them:

*You must look out to see whether it will be dashed or solid

*You must know which side of the graph to shade it in

*If they are not in standard form, you have to change them into standard form (THIS ONE MIGHT ACTUALLY APPLY TO A REGULAR EQUATION)

----Basically, the main difference is that in a "normal equation" you have an equal sign while in an inequality you have inequality signs (≤, ≥, <, >)----

//Question Number 2//

------ When using ≤ or ≥ (where they have half the equal sign at the bottom) the line for the inequality would be solid

------ When using < or > (where there is no equal sign- just the inequality sign) the line for the inequality would be dashed

------------------BY THE WAY, I INCLUDED AN ILLUSTRATIO OF AN INEQUALITY GRAPH TO GO ALONG WITH THE 3RD QUESTION----------------




7 0
3 years ago
At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the
Tasya [4]

Answer:

3.2ft long shadow

Step-by-step explanation:

In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

55ft tall  <======>  32ft long shadow

5.5ft tall   <======>  x ft long shadow

(5.5 * 32) / 55 =  3.2ft long shadow

Finally, we can see that the woman's shadow would be a 3.2ft long shadow

8 0
2 years ago
111111.11 rounded to the nearest thousand
Murrr4er [49]
It is 111000 I might sure though
3 0
3 years ago
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 579 and a standard deviation of 94. Use
Nata [24]

Answer:

The percentage of people taking the test who score between 391 and 767 is 95%.

Step-by-step explanation:

The Empirical Rule(68-95-99.7 Rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 579

Standard deviation = 94

391 = 579 - 2*94

So 391 is two standard deviations below the mean.

767 = 579 + 2*94

So 767 is two standard deviations above the mean.

By the Empirical Rule:

The percentage of people taking the test who score between 391 and 767 is 95%.

4 0
3 years ago
The diagram below shows the dimensions of two identical rectangular prisms joined together. What is the combined volume of the t
ale4655 [162]

Answer:

1100

Step-by-step explanation:

(5)(11)(10)=550

repeat and add

6 0
2 years ago
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