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Softa [21]
3 years ago
8

Solve and Graph the inequality on a NUMBER LINE ! (Show your work) -7>g-21

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

g < 14. Draw an open point on the number line and an arrow in the left direction.

Step-by-step explanation:

Solve the inequality like an equation using inverse operations. If you divide or multiply by a negative be sure to flip the sign.

-7 > g -21

-7 + 21 > g

14 > g

Graph the inequality by plotting an open circle on the value 14 and drawing an arrow in the the left direction for values less than 14 or g < 14.

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

7 0
3 years ago
Can you please help me answer this question what's a+3
Inessa [10]

Answer:

a+3

Step-by-step explanation:

You cannot go any further in answering this question.  These two terms are not like terms so they cannot be combined.  Therefore, the answer is just a+3 itself.

7 0
3 years ago
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?
olga_2 [115]

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio=  1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

x= 4452000/12

x= 371000

6 0
3 years ago
Bob purchase a bus pass card with 320 points,each weeks costs 20 points for unlimited bus rides
blagie [28]
It would be 20 points bcuz it says each week it costs 20 points for unlimited bus rides
8 0
3 years ago
6y(-5-y+4y^2) <br> Simplify the expression^^
Nina [5.8K]

Answer:

24y^3-6y^2-30

Step-by-step explanation:

6y(-5-y+4y^2)

-30y-6y^2+24y^3

Put in the correct order

24y^3-6y^2-30

3 0
3 years ago
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