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JulijaS [17]
3 years ago
15

For brainly and points

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Given

\frac{2}{3} m + 5 = 17 ( subtract 5 from both sides )

\frac{2}{3} m = 12 ( multiply both sides by 3 to clear the fraction )

2m = 36 ( divide both sides by 2 )

m = 18 → C

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Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for
VMariaS [17]

Answer:

x=-1 or 7

Step-by-step explanation:

We use casework on when 3x-9=12 and when 3x-9=-12.

For the first case, 3x-9=12, we add 9 to both sides to get

3x=21.

Dividing both sides by 3 gives

x=7.

For the second case, 3x-9=-12, we add 9 to both sides to get

3x=-3.

Dividing both sides by 3 gives

x=-1.

Checking both cases, we plug in x=7 and x=-1.

For the first case, we have |3(7)-9|=|21-9|=|12|=12,  which satisfies the equation.

For the second case, we have |3(-1)-9|=|-3-9|=|-12|=12, which also satisfies the equation.

This gives us two solutions to the equation; x=7 and x=-1.

4 0
2 years ago
The population of a city has decreased by 35% since it was last measured. If the current population is 9100 , what was the previ
Alina [70]

The previous population was 14000.

Explanation

The population decreased by 35% since the last measurement. So the current population is less than the previous population.

current population=9100

previous population =x

current population is 35% less than the previous population x

9100=x*(100-35)/100\\9100=(x*65)/100\\x=(100*9100)/65=14000

The previous population was 14000.

4 0
3 years ago
( x + 3 )( y + 2 ) = xy - 5<br> ( x + 2 )( y - 3 ) = xy
Paraphin [41]

Answer:

xy+2x+3y+6=xy-5 .............(1)

xy-3x+2y-6=xy.....,.,(2)

2x+3y=-11

-4x+2y=6

first equation multiply by 2

(2)*(2x+3y)=-11

4x+6y=-22

-4x+2y=6

8y=-16 y=(-2),,,,, x=(-2,5)

4 0
3 years ago
Find
Sedaia [141]

Answer:

The amount of steel used = 94.38 m^{2}

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = \frac{diameter}{2}

           = \frac{4.2}{2}

radius  = 2.1 m

Total surface area of a cylinder = 2\pirh + 2\pir^{2}

                                      = 2\pir(r + h)

                                      = 2 x \frac{22}{7} x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 m^{2}

Since \frac{1}{12} of the steel was wasted, then;

\frac{1}{12} x 87.12 = 7.26 m^{2}

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 m^{2}

Thus, 94.38 m^{2} of steel was used in making the tank.

4 0
3 years ago
The relationship between the number of months and cumulative cell phone cost is represented by the scatter plot shown.
Elza [17]

Answer:

C. $940

Step-by-step explanation:

8 0
3 years ago
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