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3 years ago

Solve for x: |3x + 12| = 18

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

−30

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

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Jeff has a density of 1000 g/mL and a volume of 25-mL. What is Jeff’s mass?

zlopas [31]

Answer:

25,000 grams

Step-by-step explanation:

Density can be found using the following formula:

$d=\frac{m}{v}$

If we rearrange the formula for $m$ , mass, we will multiply both sides of the equation by v.

$d*v=\frac{m}{v}*v$

$d*v=m$

The mass can be found by multiplying the density by the volume.

Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

$d= 1000 g/mL\\v=25 mL$

Substitute the values into the formula.

$m=d*v$

$m= 1000 g/mL * 25 mL$

Multiply. When you multiply, the "mL" or milliliters will cancel out.

$m= 1000 g * 25$

$m= 25000 g$

Jeff's mass is 25,000 grams.

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4 years ago

Together, Amy and Thea make up 1/4 of the midfielders on the soccer team. how many midfielders are on the soccer team? show your

tensa zangetsu [6.8K]

12 is the tital number of midfielders because since there are 3 people who make up 1/4 of the midfieldlers on the soccer team you need to miltiply 4 and 3 and 1/4 to count the total amount of midfeilders on the soccer team
(4)(3)=(1/4)(4)

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3 years ago

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3 years ago

Y=-6x-2, y=-6x-2 how many solutions are in it

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Answer:

Infinite

Step-by-step explanation:

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2 years ago

The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,

N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

$Ratio = 3 : 10 : 7$

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

$S_1 = \frac{3}{3 + 10 + 7} *180$

$S_1 = \frac{3 *180}{20}$

$S_1 = \frac{540}{20}$

$S_1 = 27$

The side with ratio 10 is:

$S_2 = \frac{10}{3 + 10 + 7} *180$

$S_2 = \frac{10 *180}{20}$

$S_2 = \frac{1800}{20}$

$S_2 = 90$

Lastly:

The side with 7 as its ratio

$S_3 = \frac{7}{3 + 10 + 7} *180$

$S_3 = \frac{7 *180}{20}$

$S_3 = \frac{1260}{20}$

$S_3 = 63$

Hence, the angles are: 27, 90 and 63

5 0

3 years ago