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s344n2d4d5 [400]
2 years ago
7

POSSIBLE POINTS: 11.76

Mathematics
1 answer:
natta225 [31]2 years ago
3 0

Answer:

B and D.

Brainliest please. :)

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Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *
Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill

\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x

7 0
2 years ago
Graph the system of equations on graph paper.
MrRa [10]
Ths system of equations is

<span>8x+6y=48 ..............>y = 48/6 -8x/6
2x−3y=−6 ..............>y = 6/3 + 2x/3

If we use a graphic tool, we can easily check the solution, 
which is (x,y) = (3,4)

The ordered pair lies in Quadrant I
</span>

3 0
3 years ago
Read 2 more answers
find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m
serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

A=\pi r^2+\pi rL

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}

For the smaller cone, r = 1.5 and L = 2.5

\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\  \\ =25\% \end{gathered}

3 0
1 year ago
A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each
Dmitry [639]

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

6 0
3 years ago
Read 2 more answers
Mandvil has one standard quarter and one special quarter with a Head on both sides. He selects one of these two coins at random,
Lana71 [14]

The probability that he selected the special quarter is 87.5%.

<h3><u /></h3><h3><u>Probability</u></h3>

Given that Mandvil has one standard quarter and one special quarter with a Head on both sides, and he selects one of these two coins at random, and without looking at it first, he flips the coin three times, to determine, if he flips a Head three straight times, what is the probability that he selected the special quarter, the following calculation must be made:

  • 1 - (standard quarter) = X
  • 1 - (0.50^3) = X
  • 1 - 0.125 = X
  • 0.875 = X
  • 0.875 x 100 = 87.5

Therefore, the probability that he selected the special quarter is 87.5%.

Learn more about probability in brainly.com/question/24217562

3 0
2 years ago
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