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Veseljchak [2.6K]
3 years ago
12

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation

3X -5 equals negative 2X +10
Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

5x= 15

Step-by-step explanation:

Given

3x - 5 = -2x  +10

Required

Write the variables and constants on different sides

3x - 5 = -2x  +10

Add 2x to both sides

2x + 3x - 5 =2x -2x  +10

5x - 5 =10

Add 5 to both sides

5x - 5 + 5 = 10 + 5

5x= 10 + 5

5x= 15

Hence, the equation is

5x= 15

Solving further [divide both sides by 5]

x = 3

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seraphim [82]
To find the unit rate, divide total miles by number of gallons:

418 miles  / 16 gallons = 26.125 miles per gallon
 Round the answer as needed.

5 0
3 years ago
6 & 7 please help me show work please and thank you!
lara31 [8.8K]

Answer:

6. \frac{29}{15} or 1\frac{14}{15}

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3 0
3 years ago
The table show the age in years of employees in a company
adelina 88 [10]

Answer:

A. 24 ≤ a < 26.

B. 22.5

Step-by-step explanation:

A. Determination of the modal class interval.

Mode is the class with the highest frequency.

From the table given above, the highest frequency is 8, therefore the class will the highest frequency is:

24 ≤ a < 26.

B. To obtain the mean, we must determine the class mark. This is illustrated below:

Class >>>>> class mark >>> frequency

18 – 19 >>>> 18.5 >>>>>>>>> 3

20 – 21 >>> 20.5 >>>>>>>> 2

22 – 23 >>> 22.5 >>>>>>>> 7

24 – 25 >>> 24.5 >>>>>>>> 8

26 >>>>>>>> 26 >>>>>>>>> 0

The mean is given by the summation of the product of the class mark and frequency divided by the total frequency. This is illustrated below:

Mean = [(18.5x3) + (20.5x2) + (22.5x7) + (24.5x8) + (26x0)] / (3+2+7+8+0)

Mean = (55.5 + 41 + 157.5 + 196 + 0)/20

Mean = 450/20

Mean = 22.5

Therefore, the mean age is 22.5

4 0
3 years ago
Read 2 more answers
A unit of electricity costs 13.2 pence. On average, tanya uses 90 units of electricity per week. She pays for her bill in 12 wee
Scrat [10]

Her electricity bill will be of 14256 pence.

<em><u>Explanation</u></em>

On average, Tanya uses 90 units of electricity per week.

So, the <u>total units of electricity in 12 weeks</u> will be: (90*12)=1080 units

One unit of electricity costs 13.2 pence.

Thus, <u>the total cost for 1080 units</u> will be:  (13.2*1080)pence= 14256 pence.

So, her electricity bill will be of 14256 pence.

7 0
3 years ago
Read 2 more answers
The points (12, 23) and (14, 45) lie on a line. What is<br> the slope of the line?
ozzi

Answer:

slope= 11

Step-by-step explanation:

(12,23) = (x1,y1)

(14,45) = (x2,y2)

Now,

slope(m)= (y2-y1)/(x2-x1)

=(45-23)/(14-12)

=22/2

=11

5 0
3 years ago
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