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alexandr402 [8]
2 years ago
15

Jenna manipulated the equation 4x + 7=10 by adding -7 to both sides.Which of the follolwing properties justifies this manipulati

on? ​
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
5 0
The addition property of equality justifies this. You could also say that she simply subtracted 7, and then it would be the subtraction property of equality. This is the case because if you add or subtract (or multiply or divide) the same number on both sides of an equation, the equation will still be the same.


Hope it helps!
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A town in east Texas received 10 inches of rain in two DAYS. If it kept raining at this rate for a 31 day month, how much rain d
nydimaria [60]
<h3>Answer: 155 inches</h3>

This is equivalent to approximately 12.917 feet.

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

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

--------------------------

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

3 0
3 years ago
4x +3 -x - 2<br><br><br> Please help me I’m stuck
torisob [31]

Answer:4+1=5

Step-by-step explanation:

The reason the answer is 4+1 is because you have to subtract x from 4x causing it to be just 4 and then y I have to subtract 2 from 3 leaving one then you would have to add 4+1 which equals 5

8 0
3 years ago
Read 2 more answers
The angles of a triangle are in the ratio 5:3:7 find the angles
omeli [17]

Answer:

60, 36, 84

Step-by-step explanation:

The angles of a triangle always add up to 180 degrees.

If the ratios are 5:3:7, that means that there are 15 pieces that we can break up the 180 degrees by.

180/15 = 12

Each value is 'worth' 12 degrees.

Thus the angles would be the ratios multiplied by 12.

5 x 12 = 60

3 x 12 = 36

7 x 12 = 84

3 0
3 years ago
The area of arizona is 113,998 and its population is 6,482505. The average state population density is 87.4 people per square mi
Harman [31]

Answer:

Step-by-step explanation:

First find the population density of AZ and then compare it to the US average of 87.4 people per square mile:

6,482,505

---------------- = 56.9 people per square mile

  113,998

The ratio of AZ's population density to the national average is:

56.9

--------- or 569/874

87.4

6 0
3 years ago
For 1-3 write an equivalent expression <br> 1.) -3(7+5g) <br> 2.) (x+7)+3y <br> 3.) 2/9-1/5*x
alukav5142 [94]

\huge \bf༆ Answer ༄

The equivalent expressions are ~

<h3>Question : 1 </h3>

  • \sf \:  - 3(7 + 5g)

  • \sf - 21 - 15g

  • \sf- 15g - 21
<h3>Question : 2</h3>

  • \sf \:( x + 7) + 3y

  • \sf \: x + 7 + 3y

  • \sf \: x + 3y + 7
<h3>Question : 3 </h3>

  • \sf \dfrac{2}{9}  -  \dfrac{1}{5x}

  • \sf \dfrac{10x  - 9}{45x}

7 0
2 years ago
Read 2 more answers
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