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kiruha [24]
3 years ago
7

What is the reason for each step in the solution of the inequality? 28−3(x−2)<5x+10

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

1. 28 − 3(x − 2) < 5x + 10            Given

2. 28 − (3)(x) + (-3)(-2) < 5x + 10       Distributive Property <em>a(b + c) = ab+ ac</em>

28 − 3x + 6 < 5x + 10

3.  (28 + 6) - 3x < 5x + 10             Combine Like Terms

34 − 3x < 5x + 10

4. 34 - 3x + 3x < 5x + 3x + 10             Addition Property of Order

34 < 8x + 10

5. 34 - 10 < 8x + 10 - 10        Subtraction Property of Order

24 < 8x

6. 24/8 < 8x/8        Division Property of Order

3 < x

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the perimeter of a rectangle is 222 millimeters if the length of the rectangle is 60 millimeters what is the width of the rectan
trapecia [35]
Perimiter=legnth+legnth+width+width=2lengt+2width

lesngh=60
perimiter=60+60+2width
perimiter=120+2widht
222=120+2width
subtract 120 from both sdies
102=2width
divide by 2
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8 0
3 years ago
What is the volume in cubic inches?
Fittoniya [83]

Answer

A) 2160 cubic inches

Step by step explanation

Volume of a rectangular prism = length *width*height.

The give figure (stairway) consists of two rectangular prism.

The volume of the first rectangular prism (bigger one) = 12 *10*12

=120*12

1 st prism = 1440 cubic inches

The volume of the rectangular prism 2 (smaller one) = 12*10*6

=120*6

The volume of the rectangular prism 2 = 720 cubic inches

The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2

= 1440 + 720

The volume of the concrete stairway = 2160 cubic inches.

Thank you.

4 0
4 years ago
Answer and work if you have it please?
andrew11 [14]
The answer to your "Question" would be A.

If you are trying to find the distance between both points, the answer would be (A). you can find this by simply using the Distance formula and inputting (-4, 1) and (5, 4) into the x1, x2, y1, and y2 spots and finding the answer. 


Hope this helped!




6 0
3 years ago
High School Dropouts
White raven [17]

Answer:

There are more females dropping than males each year and that there are more females than males

7 0
3 years ago
Twice the difference of a number and 3 is equal to three times the sum of the number and 3. Find the number.
ra1l [238]
2 (x-3)=3 (x+3) writing it down in equation form

2x-6=3x+9 removing brackets

2x-3x=9+6 collecting like terms

-×=15 divide it by -1

x=15
5 0
4 years ago
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