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3 years ago

The ratio of adults to children is 5 to 3. If there is 120 people. How many are children?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

4 0

Answer is 72 c.

what you do first is 120/5

= 24

24* num. of children 3 = 72 thuse its the answer

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How to convert improper fraction to a mixed or whole number (reduce to lowest terms): 24/9

MakcuM [25]

How to convert improper fraction to a mixed or whole number (reduce to lowest terms): 24/9

6 0

2 years ago

Find the value of c that completes the square for x2−15x+c

meriva

Answer:

The value of c is $\frac{225}{4}$ .

Step-by-step explanation:

The perfect square of the difference between two numbers is:

$(x-y)^{2}=x^{2}-2xy+y^{2}$

The expression provided is:

$x^{2}-15x+c$

The expression is a perfect square of the difference between two numbers.

One of the number is x and the other is √c.

Use the above relation to compute the value of c as follows:

$x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}$

Thus, the value of c is $\frac{225}{4}$ .

5 0

3 years ago

The perimeter of a square is 4/5 what is its area

34kurt

Answer:

1/25

Step-by-step explanation:

square has 4 sides, if you add them all up you get 4/5.

1/5+1/5+1/5+1/5=4/5

so each side is 1/5

Area=length * width

A=1/5*1/5=1/25

3 0

2 years ago

Patti's dance class starts at quarter past 4. At what tim does her dance class start?

Sati [7]

Answer:

The answer is 4:15

Step-by-step explanation:

7 0

2 years ago

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,

Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h, in feet after t seconds is given by the function is given by :

$h=-16t^2+120t+10$ .....(1)

For maximum height, put $\dfrac{dh}{dt}=0$

i.e.

$\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s$

Put t = 3.75 in equation (1). So,

$h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}$

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

3 0

2 years ago