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Gennadij [26K]
2 years ago
9

John and Maria are spending the afternoon hiking in the desert. They purchased 6 bottles of water for $9.00, two protein bars fo

r $5.00, and some peanuts for $3.00 as a snack. Suppose they star hiking at 11.30 A.M. and finish the hike at 3.45 P.M. What is the unit rate of money spent to hours hiked? Show your work.
Mathematics
1 answer:
zepelin [54]2 years ago
6 0

Answer:

<h2>They spent $4 per hour hiked.</h2>

Step-by-step explanation:

They spent

  • $9.00 in water.
  • $5.00 in protein bars.
  • $3.00 in peanuts.

Total cost $17.

Now, if the hiked from 11.30 AM to 3.45 PM, then they hike for 4 hours and 15 minutes. However, we need to transform those minutes into hours before we find the rate

15min\frac{1hr}{60min}=\frac{1}{4}hr=0.25hr

So, they hiked for 4.25 hours.

Then, to find the unit rate of money spent per hour hiked, we just need to divide $17 by 4.25 hr.

\frac{\$17}{4.25hr}=4\frac{\$}{hr}

Therefore, they spent $4 per hour hiked.

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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0
3 years ago
Help pls please hmmm​
hichkok12 [17]

Step-by-step explanation:

Here is your answer

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6 0
2 years ago
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Which expressions are equivalent to -2(5x-1)+7(5x-1)-3(-5x+1)
blondinia [14]

Answer:

x=1/5

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's go back to the given question

-2(5x-1)+7(5x-1)-3(-5x+1)

We can actually equate the equation to zero

Let's solve

-10x+2+35x-7+15x-3=0

Let's collect like terms

-10x+35x+15x=-2+7+3

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Let's make x the subject of formula by dividing both sides by 40

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So the final answer is 1/5

8 0
2 years ago
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Answer:

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Step-by-step explanation:

1/3 of 60 is 20

in other words

20 x 3 = 60

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What is the equation of this graphed line?
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Answer:

y = 2x + 2

Step-by-step explanation:

Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12.  Thus, the slope is

m = rise / run = 12/6 = 2.

From the graph we can see that the y-intercept is (0,2).  Thus, the slope-intercept equation of this line is:

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8 0
3 years ago
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