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erastova [34]
3 years ago
7

The National Safe Kids Campaign and Bell Sports sponsored a study that surveyed 8,159 children ages 5 to 14 who were riding bicy

cles. Approximately 2/5 of the children were wearing helmets, and of those, only 13/20 were wearing the helmets correctly. About how many of the children were wearing helmets correctly?
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0
8159 divided by five times two then, divide that by twenty and multiply by 13, The answer is about 2611 kids wore helmets properly while riding bike
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Find three consecutive integers whose sum is -354.
Butoxors [25]

Answer:

1 + 1 = 11

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th
wel

Answer:

\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}

\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}

\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}

If the diameter is equal to the side length of the square, then:
\implies \sf r=\dfrac{1}{2}s

Therefore:

\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}

So the ratio of the area of the circle to the original square is:

\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}

Given:

  • side length (s) = 6 in
  • radius (r) = 6 ÷ 2 = 3 in

\implies \sf \textsf{Area of square}=6^2=36\:in^2

\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)

Ratio of circle to square:

\implies \dfrac{28}{36}=\dfrac{7}{9}

5 0
2 years ago
Possible solution for 4+x+2-2x=5
MrRissso [65]

Answer:

x=1

Step-by-step explanation:

For algebra always start by rewriting it.

4+x+2-2x=5

Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.

6-x=5

Now lets get x alone and the quickest way is to subtract 6 to the other side

6-x=5

-6    -6

  -x=-1

Now the two negatives cancel out as you would divide both sides by the coefficient -1 to get positive x alone. We can make this easier by just canceling out the negatives.

Your answer is

x=1

3 0
3 years ago
Door is 77 inches high, 35.25 inches wide and 1,75 inches thick how much paint is needed
Leviafan [203]
If you wanted to paint the entire door (even the top and bottom which people don't usually paint)

the surface area is
SA=2(LW+LH+WH)
where L=length, W=width and H=height

given
L=35.25
W=1.75
H=77

SA=2(35.25*1.75+35.25*77+1.75*77)
SA=2(61.6875+2714.25+134.75)
SA=2(2910.6875)
SA=5821.375

you need enough paint to cover 5821.375 square inches of door
7 0
3 years ago
4 - (-18) = 4 - (-18) =
VashaNatasha [74]

Answer: 22

Step-by-step explanation:

4 - (-18) = 4 + (+ 18) = 22

8 0
3 years ago
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