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Ivan
2 years ago
9

Help ASAP!

Mathematics
1 answer:
blondinia [14]2 years ago
6 0

Answer:

15hrs

Step-by-step explanation:

We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... \frac{18}{x}+\frac{1}{2}=\frac{14}{x-2} ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!

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A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as
Juliette [100K]

Answer:

4 units

Step-by-step explanation:

The volume of a square pyramid is (a²)*h/3

256=a²*12/3

256=a²*4

256/4=a²

64=a²

a=8

Now we know that the square is 8 by 8.

The volume of a square prism is a²h

256=64h

256/64=h

h=4

Also, a square pyramid is 1/3 the volume of a square prism.

12÷3=4

3 0
2 years ago
Simplify each radical expression
nlexa [21]
31.
5 \sqrt{6}  - 3 \sqrt{6}  = 2 \sqrt{6}
32.
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33.
(3 \sqrt{2}  - 2 \sqrt{5} )(4 \sqrt{2}  + 2 \sqrt{5} ) \\ 12 \sqrt{4}  + 6 \sqrt{10}  - 8 \sqrt{10}  - 4 \sqrt{25}  \\ 24 - 2 \sqrt{10}  - 20 \\ 4 - 2 \sqrt{10}
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3 0
2 years ago
Plez halp with question bc im smol brain
Studentka2010 [4]

Answer:

B. y= 2x–15

Step-by-step explanation:

The equation that represents the line that passes through the points (8, 1) and (10,5) is y= 2x–15

"x" is found on the left hand side of the bracket and "y" is found on the right hand side of the bracket :)

(8, 1) and (10, 5)

x in the first bracket is 8 and x in the second bracket is 10.

y in the first bracket is 1 and y in the second bracket is 5.

When this equation is applied to find the value for y we get:

y= 2x-15

y= 2(8)-15

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y= 1

y= 2x-15

y= 2(10)-15

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y= 5

We got back the values of y and this means that the equation was correctly chosen and the answer is correct :)

6 0
2 years ago
For which acute angles is the following statement true? The complement of the angle is smaller in measure than either of the two
Hitman42 [59]

Let the acute angle be 2x.

Its complement is 90 - 2x.

It is given that this complementary angle is less than each of the bisected angle.

Therefore, 90 - 2x < x

90 < 3x

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7 0
3 years ago
The table shows the gallons of water in a pool over time.
Valentin [98]

Answer:

6 gallons per minute

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is  

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Now, Q(t = 0) is given to be 50 gallons.

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Now, two points on the graph are (0,50) and (1,44).

So, the slope = b =  = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

6 0
2 years ago
Read 2 more answers
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