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Pachacha [2.7K]
3 years ago
10

Write the height of zak as a fraction of the height of fred

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

\bf \cfrac{Zak}{Fred}\qquad \cfrac{1.86}{1.6}\implies \cfrac{~~\frac{186}{100}~~}{\frac{16}{10}}\implies \cfrac{186}{100}\cdot \cfrac{10}{16}\implies \cfrac{186}{16}\cdot \cfrac{10}{100}\implies \cfrac{93}{8}\cdot \cfrac{1}{10} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{93}{80}~\hfill

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Solve by using elimination. Express your answer as an Ordered pair (-x +2y=3 3x-2y=7
MAVERICK [17]

Answer:

(5,4)

Step-by-step explanation:

-x+2y=3

3x-2y=7

Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.

  • 2x=10

Divide both sides by 2

  • <u>x=5</u>

To find y, substitute x in for y in one of the equations

  • -5+2y=3

add 5 to both sides

  • 2y=8

Divide both sides by 2

  • <u>y=4</u>

Check:

  • -5+2(4)=3
  • 3=3
4 0
3 years ago
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AnnZ [28]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Find the volume of this cylinder. Please help
algol13

Answer:

\boxed {\boxed {\sf 384 \ ft^3}}

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

V= \pi r^2 h

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

  • r= 4 ft
  • h= 8 ft
  • π= 3

Substitute the values into the formula.

V= (3)(4 \ ft)^2 (8 \ ft)

Solve the exponent.

  • (4 ft)²= 4 ft * 4 ft = 16 ft²

V= (3)(16 \ ft^2)(8 \ ft)

Multiply the three numbers together.

V= 48 \ ft^2 (8 \ ft)

V= 384 \ ft^3

The volume of the cylinder is approximately <u>384 cubic feet.</u>

8 0
2 years ago
Karen, James, Frank, and Dan were left an inheritance by their late grandfather. If Karen receives one-eighth of the inheritance
pashok25 [27]

Count what fraction receive Karen, James and Frank in total:

since

Karen receives - \frac{1}{8},

James receives - \frac{1}{4}=\frac{2}{8},

Frank receives - \frac{3}{8},

then \frac{1}{8} +\frac{2}{8} +\frac{3}{8} =\frac{1+2+3}{8}=\frac{6}{8} =\frac{2\cdot 3}{2\cdot 4} =\frac{3}{4}.

All inheritance is the whole 1, then for Dan remains 1-\frac{3}{4} =\frac{4}{4} -\frac{3}{4} =\frac{4-3}{4} =\frac{1}{4}.

Answer: Dan receives one quarter of the inheritance.

4 0
3 years ago
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It should go between the 8 and the 10.
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