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Nina [5.8K]
3 years ago
10

Solve the inequality. 3 – 2a < 7

Mathematics
1 answer:
Igoryamba3 years ago
3 0
<span>3 – 2a < 7
Subtract 3 from both sides
-2a<4
Divide both sides so that the only thing remaining on the left side is the variable a.*Note: When you divide a negative number in a inequality, it automatically flips the greater than/less than sign to it's opposite side.
Final Answer: a>-2</span>
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Simplify: 16z8-23z8 <br><br>enter the original expression if it can't be simplified
inn [45]

Answer:

The simplified version of that equation would be -7z^{8}.

Step-by-step explanation:

Since 16z^{8} and 23z^{8} have the same exponent and variable, we can combine them normally.


16z^{8} - 23z^{8} =  -7z^{8}

4 0
3 years ago
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.
brilliants [131]

Answer:

The correct option is A. x – 1 < n < 3x + 5

Step-by-step explanation:

In a triangle sum of any two sides is always greater than the third side.

Now, the sides of the triangle are given to be :

2x + 2, x + 3 , n

Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.

By using the property that sum of two sides is always greater than the third side in a triangle.

⇒ 2x + 2 + x + 3 > n

⇒ 3x + 5 > n  ......(1)

Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.

So, by the property, we have :

n + x + 3 > 2x + 2

⇒ n > x - 1 ...........(2)

From both the equations (1) and (2) , We get :

x – 1 < n < 3x + 5

Therefore, The correct option is A. x – 1 < n < 3x + 5

4 0
3 years ago
Read 2 more answers
Which of the following is not a step in the procedure for​ two-way ANOVA to test for an interaction​ effect, an effect from the
vovikov84 [41]

Answer:

D. If the​ P-value is​ large, reject the null hypothesis of no interaction. Conclude that there is an interaction effect.

Step-by-step explanation:

If p value is smaller than significant level(5% or 1%), then reject the null hypothesis.

From the given information about two way ANOVA, First 3 are true statements based on decision rule.

4th statement is false, becasue p value is larger, then decision is to fail the null hypothesis and conclude that there is no interaction between them

8 0
3 years ago
HURRY HELP! ILL MARK BRAINLEST ANSWER!!! if I have an 82 in a class, and I get 100 on two projects worth 15% of my grade, what w
dsp73

Answer:

Your final grade would be 87.4

Step-by-step explanation:

When an assessment is worth a certain percentage of a final grade, the grade percentage of the assessment is taken from its allocated percentage of the final grade. For example:

One project is worth 15% of the final grade, and you got 100% on it. This means that the percentage it contributes to the final grade is 100% (achieved) of 15% (allocated %). 100% of 15% is 15% (15x1). This means that if you hypothetically only completed the project 100% without other assessments, your final grade would be 15%.

This is the same for the other project: 100% (achieved) of 15 (% worth of final grade) = 15.

This is because when you get 100% on the project, you get the full 15% of its worth for the final grade (if that makes sense).

So, from both projects, the final grade would be 30.

Now for the 82.

Since the projects together are worth 30% of the final grade, it means that the 82 in class is worth the remaining 70%.

82% (achieved) of 70 (worth %) = 70x0.82 = 57.4

The 82 in class contributes 57.4 towards the final grade.

Since we have 30 from the projects, and the 57.4 from the class, your final grade would be 30+57.4 = 87.4

Hope this helped!

6 0
3 years ago
A toy car can go 3 mph. How long would it take to go 10 miles?
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How long does it take to go 3mph ?
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3 years ago
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