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maks197457 [2]
3 years ago
11

The height of a right square pyramid is multiplied by 10, but the area of the base is unchanged. By what factor is the volume of

the pyramid multiplied?
a 10⁰
b 10¹
c 10²
d 10³​
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

  b 10¹

Step-by-step explanation:

Consider the volume formula:

  V = 1/3Bh . . . . B is the base area and h is the height

Replacing h by 10h gives ...

  V' = 1/3B(10h) = 10(1/3Bh) = 10V

The volume is multiplied by 10 = 10¹.

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At bike shop x it costs $2.75 per hour plus a $3.00 deposit to rent a bike. at bike shop z it costs $1.75 per hour plus a $7.00
dem82 [27]

Answer:

Multiply the rate per hour by the number of hours (n) and add the deposit.

A)

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours

6 0
3 years ago
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Can someone please give this answer and plz give me the right answers
Alenkinab [10]

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8 0
3 years ago
Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)
Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

5 0
3 years ago
7. The ratio of black cars to silver cars in a parking lot is 7:4. If there is a DIFFERENCE of 12 more black cars than silver ca
QveST [7]

Answer:

Step-by-step explanation:

Let B be the number of black cars and S the number of silver.  

We know that B/S = 7/4

We also know that B - S = 12

Rearrange the first:  B = 7S/4

B - S = 12

7S/4 - S = 12

7S - 4S = 48

3S = 48

S = 16

B/S = 7/4

B/16 = 7/4

4B = 112

B = 28

B + S = 44 cars

I can't add the tape diagram here, but show two ribbons (tapes) for each car color and drawn so one can see the relative numbers of each.

8 0
3 years ago
Edward went to the grocery store and bought some bro pounds of vegetables the vegetables cost 1.50 per pound. If he bought 3.25
Natali5045456 [20]

The cost of each vegetable is €1.50 per pound

Edward bought 3.25 pounds of carrot.

So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875

He also purchased 1\frac{2}{10}= 1\frac{2}{5} =\frac{6}{5} pounds of beet.

Quantity of beet purchased = 6/5 = 1.2 pounds

So the cost of beet shall be = 1.50 × 1.2 = €1.80

He purchased 0.95 pounds of Broccoli

So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425

Total amount spent = 4.875 + 1.80 + 1.425 = €8.10

Edward spent €8.10 on vegetables.


7 0
3 years ago
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