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Troyanec [42]
4 years ago
7

How to solve the inequality -1/3(6x+3)<-14

Mathematics
1 answer:
Jet001 [13]4 years ago
6 0
To solve you first distribute -1/3 to 6x and 3 which would give you a new inequality of: -2x - 1 < - 14

Then to leave x on one side of the inequality you add 1 on both sides giving you: -2x < - 13

Then to get x alone you divide by -2 on both sides BUT remember that when you divide by a negative number in an inequality you flip the sign so the new one will be: x > 13/2 or x > 6.5
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An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles
Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0
3 years ago
PLEASE HELP!!! Isabell needs to memorize words on a vocabulary list for Spanish class. She has memorize 12 of the words, which
valina [46]

Answer:

16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

7 0
3 years ago
Read 2 more answers
(-3+2)-(-5+7)<br> simplify
FromTheMoon [43]

Answer:

-3

Step-by-step explanation:

First take (-3+2) and simplify that which will turn into (-1). Then take (-5+7) which will turn into (2). Then plug that back into the equation and you get (-1)-(2). And you get -3.

4 0
3 years ago
Read 2 more answers
Solve this absolute value equation and show all work.
vitfil [10]
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post.  would you please post just one question at a time to avoid this.

I'll focus on your second question only:  Solve <span>3 + |2x - 4| = 15.

Subtr. 3 from both sides.  Result:  |2x - 4| = 12

Divide all terms by 2, to reduce:    |x - 2| = 6

Case 1:  x-2 is already +, so we don't need |    |:

                       x - 2 = 6    =>   x = 8 (first answer)

Case 2:  x-2 is negative, so |2x-4| = -(2x-4) = 6

             Then   -2x + 8 = 6.  Subtr. 8 from both sides:   -2x = -2

               Div both sides by -2:  x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately.  Thanks and good luck!

</span>
6 0
3 years ago
Write an expression for the product of z and 113, minus 300.
padilas [110]

Answer:

z*113 -300

Step-by-step explanation:

(z*113) -300

8 0
4 years ago
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