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hjlf
3 years ago
6

Solve equation. What is the solution set -4(z-2)+4=21-(z-3)

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

z=-75/17

Step-by-step explanation:

Expand this equation:

-4z+8+4=-21z-63

-4z+21z=-63-8-4

17z=-75

z=-75/17

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Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts
olasank [31]

Answer:

12:9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the volume of the figure: an oblique cylinder next to a cube.
charle [14.2K]

Answer:

(2,200\pi +8,000)\ ft^{3}

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of cube plus the volume of the cylinder

step 1

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

we have

b=2(10)=20\ ft ----> the length side of the cube is equal to the diameter of the cylinder

so

V=20^{3}=8,000\ ft^{3}

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

r=10\ ft

h=42-20=22\ ft

substitute

V=\pi (10)^{2} (22)

V=2,200\pi\ ft^{3}

step 3

The volume of the figure is equal to

(2,200\pi +8,000)\ ft^{3}

5 0
4 years ago
Sunny’s Surf Shop sold 300 surfboards this week, which was 150 percent of the number of surfboards sold last week. How many surf
alina1380 [7]
200 surfboards were sold last week
3 0
3 years ago
Read 2 more answers
Because of an accident Royce was involved in, his insurance company has increased his annual premium for auto insurance
Vesna [10]

Answer:

New Premium = $571.24

Step-by-step explanation:

Current premium = $22.50  + $144.75  +  $275.75   + $100.00 = $543.00

New Premium = Current Premium x (1 + 0.052)

New Premium = $543.00 x 1.052

New Premium = $571.24

8 0
4 years ago
The Han dynasty lasted from 206 B.C. to 9 A.D. How many years did the dynasty last?
cricket20 [7]

Answer:

The Han dynasty last was, 215 years

Step-by-step explanation:

Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.

To find how many years did the dynasty last.

B.C. represents Before Christ

A.D. represents After Death

To find the difference between two dates,

  • When the endings are the same you subtract
  • When they are different you add

You can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.

Just add these 206 and 9 we get;

206 + 9 = 215 years

Therefore, 215 years did the Han dynasty last.


4 0
3 years ago
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