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matrenka [14]
4 years ago
8

Claire jogs around an oval track and is able to complete one lap in 5 minutes. If she jogs at the same pace for 42 minutes, how

many laps would she be able to jog? Write an inequality and find the number of whole laps Claire completesm
Mathematics
1 answer:
Maslowich4 years ago
7 0
I would say about 8 whole laps
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1. Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 c
prisoha [69]

Answer:

See explanation

Step-by-step explanation:

Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then

P(\text{Window seat})=\dfrac{492}{806}=\dfrac{246}{403}\\ \\P(\text{Middle seat})=\dfrac{8}{806}=\dfrac{4}{403}\\ \\P(\text{Aisle seat})=\dfrac{306}{806}=\dfrac{153}{403}

a) One randomly selected person preferes aisle seat with probability

\dfrac{153}{403}

b) Two randomly selected people both prefer aisle seat (with replacement) is

\dfrac{306}{806}\cdot \dfrac{306}{806}=\dfrac{153}{403}\cdot \dfrac{153}{403}=\dfrac{23,409}{162,409}

c) Two randomly selected people both prefer aisle seat (without replacement) is

\dfrac{306}{806}\cdot \dfrac{305}{805}=\dfrac{153}{403}\cdot \dfrac{61}{161}=\dfrac{9,333}{64,883}

8 0
3 years ago
4 loads of stone weigh 2/3 ton. Find the weight of 1 load of stone.
Vladimir79 [104]

To find the weight of 1 load of stone, divide 2/3 by 4.

To divide fractions, use keep change flip.

Keep the first fraction the same, change the division sign into a multiplication sign, and flip the second fraction.

I attached the work and answer for this problem. If you have any questions please feel free to ask.

Hope this helps.

7 0
3 years ago
A bag of oranges weighs 5 1/4 pounds. How much does 1 1/2 bags weigh?
Andreyy89

Answer:

you simplify the fractions then you cross multiply

Step-by-step explanation:

1/2 * 4/2 you multiply 1 and 4 and you get 4/4 which is equal to 1  

3 0
4 years ago
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
motikmotik
Let x =lenght, y = width, and z =height 
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>

<span>Therefor the dimensions are cube 4.</span>
6 0
4 years ago
What is the improper fraction for 5 1/3
Yakvenalex [24]
Hey there Shawn!

\left[\begin{array}{ccc}\boxed{\boxed{ 5\frac{1}{3}= \frac{16}{3}  }} \ as \ an \ improper \ fraction\end{array}\right]

Hope this helps you budd!
5 0
3 years ago
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