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4 years ago

What is the greatest common factor and least common multiple of 4 and 10?

Mathematics

1 answer:

rusak2 [61]4 years ago

3 0

Answer:

The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20

Step-by-step explanation:

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One antifreeze solution is 20% alcohol. Another antifreeze solution is 12% alcohol. How many liters of each solution should be c

katrin [286]

Use this systems of equations to solve:

x = first antifreeze
y = second antifreeze

$\left \{ {{.2x + .12y = .18(15)} \atop {x + y = 15}} \right.$

Isolate y.

x + y = 15
Subtract x from both sides.
y = -x + 15

Substitute y into the other equation.

.2x + .12(-x + 15) = .18(15)
Simplify.
.2x - .12x + 1.8 = 2.7
Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25

Substitute x in the equation that we isolated y in.

y = -11.25 + 15
y = 3.75

11.25 L of the first antifreeze and 3.75 L of the second.

5 0

3 years ago

The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza do

xz_007 [3.2K]

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

$w = D$

Where:

$w$ - Width of the placemat, measured in inches.

$D$ - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

$A = \frac{\pi}{4} \cdot D^{2}$

The diameter is cleared afterwards:

$D = \sqrt{\frac{4\cdot A}{\pi} }$

If $A = 78.5\,in^{2}$ and $\pi = 3.14$ , then:

$D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }$

$D = 10\,in$

The minimum width of the placemat is 10 inches.

4 0

4 years ago

Read 2 more answers

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

vovangra [49]

Answer:

it has to be 60

Step-by-step explanation:

4 x 15 = 60

5 0

3 years ago

An architect is designing a department store. She wants to add an escalator. She knows that the escalator will make a 30° angle

kifflom [539]

The distance a person would travel on the escalator stairs is 72 ft.The horizontal length needed is approx. 62.35, but in simpliest radical form it's 36√3! Good luck!!!!!!!!!!! <3

7 0

3 years ago

When c= 8, what is the value of 4c 7c and 11c ?

Viefleur [7K]

This may be wrong but i would put 48, 78 and 118

3 0

3 years ago