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shutvik [7]
3 years ago
14

3. Solve for x

Mathematics
1 answer:
padilas [110]3 years ago
4 0
<span>3x + 3 − x + (−7) > 6
2x - 4 > 6
2x > 10
x > 5

answer is </span><span>C. x > 5 </span>
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If this figure is a regular figure? How many degrees does each angle measure?
bearhunter [10]

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\frac{(5 - 2) \times 180}{5}  =  \\

\frac{3 \times 18 \times 10}{5}  = 3 \times 18 \times 2 =  \\

54 \times 2 = 108

Thus each angle has a measure of 108° degrees.

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5 0
2 years ago
The Social Security Administration increased the taxable wage base from $106,800 to $110,100. The 6.2% tax rate is unchanged. Jo
Rzqust [24]

Answer:

The Social Security Administration increased the taxable wage base from $106,800 to $110,100.

A:

The percent increase in the base =

\frac{110100-106800}{106800}\times100=3.09%

B:

Previous year tax = 0.062\times106800=6621.60 dollars

This year tax = 0.062\times110100=6826.20 dollars

Increase in tax = 6826.20-6621.60=204.60 dollars

Hence, Joe’s increase in Social Security tax for the new year is $204.60.

5 0
3 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
The box plots below show student grades on the most recent exam compared to overall grades in the class: two box plots shown. Th
finlep [7]

Question:

The box plots below show student grades on the most recent exam compared to overall grades in the class: two box plots shown. The top one is labeled Class. Minimum at 70, Q1 at 74, median at 83, Q3 at 92, maximum at 100. The bottom box plot is labeled Exam. Minimum at 60, Q1 at 81, median at 87, Q3 at 91, maximum at 95. Which of the following best describes the information about the medians? (1 point) Group of answer choices

•The exam outlier at 60 makes the IQR narrower and the median higher.

•The class data is more evenly spread, which pulls its median down.

•The class median is lower than the exam median.

•The class Q3 is higher than the exam Q3.

Answer:

•The class Q3 is higher than the exam Q3.

Step-by-step explanation:

In the question we have two box plots

a) Box plots for class is given as

Minimum at 70, Q1 at 74, median at 83, Q3 at 92,

b) Box plots for exam is given as Minimum at 60, Q1 at 81, median at 87, Q3 at 91, maximum at 95.

When we compare the median of the class which is 83 and the median of the exam plots 87, we can see that the median of the exam is higher than the median of the class, hence the option

"•The class median is lower than the exam median". is wrong.

From the options given, the only correct option which best describes the information about the medians is

"•The class Q3 is higher than the exam Q3".

This is because when we compare the Q3 of the class which is 92 to the Q3 of the box which is 91 , we can see that the class Q3 is higher than the box Q3 hence the option is correct.

8 0
3 years ago
$3000 is invested in an account earning 8% interest compounded annually. How much will there be in the account after two years?
pshichka [43]

Answer: 3,500

Step-by-step explanation:

6 0
3 years ago
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