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Naily [24]
3 years ago
13

It would be awesome for some help! :3 Johnny Uses a wheelbarrow to move planting soil to a delivery truck. The volume of plantin

g soil fits in the wheelbarrow measures 2 feet by 3 feet by 1.5 feet. The truck measures 11 feet by 8 feet by 6 feet. Johnny puts planting soil in the truck until it's 70% full. What is the minimum number of times Johnny needs to use the wheelbarrow until the truck is 70% full?
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
We are given with
dimensions of wheelbarrow = 2ft x 3ft x 1.5 ft
dimensions of truck = 11 ft x 8 ft x 6 ft

The volume of the wheelbarrow is 2(3)(1.5) = 9 ft3
The volume of the truck is 11(8)(6) = 528 ft3
70% of this is
528 ft3 (0.7) = 369.6 ft3
Dividing this by the volume of the wheelbarrow
369.6 ft3 / 9 ft3 = 41.07
He would need to use the wheelbarrow 42 times.
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In the following diagram HI || JK.<br><br>What is the measure of x?​
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Answer:

64

Step-by-step explanation:

60 + 56 + x = 180

116 + x = 180

x = 180 - 116

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3 years ago
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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
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nadya68 [22]

Answer:

Step-by-step explanation:

4(8+2n) = 4 + 4n

32 + 8n = 4+4n

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3 years ago
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore
velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

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RS/VU=ST/UT

<em>Verify</em>

substitute the given values

12/6=16/8

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You can find the point of intersection by modelling the two equations and setting them equal to each other. If x is equal to phones sold:

250 + 25x = 50x
250 = 25x
10 = x

Therefore, you make the same at 10 phones. 
4 0
3 years ago
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