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2 years ago

What is the reason for each step in the solution of the inequality?

Mathematics

1 answer:

Citrus2011 [14]2 years ago

7 0

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: $-38-3(x+5)>6x-17$

We need to match each step with the reasons.

The given steps are:

−38−3(x+5)>6x−17

So, Reason for step 1: Given

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

−9x>36

So, Reason for step 5: Addition property of order

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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Three more than the quotient of a number and 8 is equal to 9

garri49 [273]

Answer:

The number is 48.

Step-by-step explanation:

x/8+3=9

x/8=9-3

x/8=6

x=6*8

x=48

6 0

2 years ago

Please do this for me <br><br> I am very lazy

Alexandra [31]

First, let's turn all the numbers into improper fractions so that we can find the answer easier.

-2 $\frac{1}{4}$ = r - $\frac{4}{5}$

- $\frac{9}{4}$ = r - $\frac{4}{5}$

Now we have to isolate 'r'.

First, we have to make sure that the variable is on one side and all the numbers are on the other side.

To do this, we have to add $\frac{4}{5}$ to both sides.

In order to do this, we need to ensure that both fractions have a common denominator.

- $\frac{9}{4}$ = r - $\frac{4}{5}$

Ensure that the denominators are the same:

$\frac{45}{20}$ = r - $\frac{16}{20}$

$\frac{45}{20}$ + $\frac{16}{20}$ = r

$\frac{61}{20}$ = r

Good luck!

6 0

3 years ago

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?

Marrrta [24]

EF = 50 in.

In similar figures, corresponding sides are proportional. We use the similarity statement ABCD~EFGH to write a proportion:

$\frac{AB}{EF}=\frac{AD}{EH}
\\
\\ \frac{30}{x}=\frac{45}{75}$

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50

3 0

2 years ago

Name a pair of corresponding angles

Gnoma [55]

<h3>Corresponding angles = angle 1 and angle 5</h3>

They are on the same side of the transversal cut (both to the left of the transversal) and they are both above the two black lines. It might help to make those two black lines to be parallel, though this is optional.

Other pairs of corresponding angles could be:

angle 2 and angle 6
angle 3 and angle 7
angle 4 and angle 8

=======================================================

<h3>Alternate interior angles = angle 3 and angle 5</h3>

They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.

The other pair of alternate interior angles is angle 4 and angle 6.

=======================================================

<h3>Alternate exterior angles = angle 1 and angle 7</h3>

Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8

=======================================================

<h3>Same-side interior angles = angle 3 and angle 6</h3>

The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.

6 0

2 years ago

A. Domain.....<br><br> B. Domain.....<br><br> C. Domain.....<br><br> D. Domain

shusha [124]

The answer to the question is b

7 0

3 years ago