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3 years ago

For brainly and points

Mathematics

1 answer:

Anna [14]3 years ago

6 0

Answer:

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 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(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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