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Zina [86]
1 year ago
15

David can proofread15 reports in an hour while Armando can proofread 37reports in an hour. If they have 400 reports to proofread

,how much time will it take between the two of them?
Mathematics
2 answers:
ycow [4]1 year ago
8 0
Together, it would take them 6 hours
enot [183]1 year ago
7 0

Answer:

7\frac{9}{13}\text{ hours}

Step-by-step explanation:

Given,

The number of reports proofread by David in one hour = 15,

While, the number of reports proofread by Armando in one hour = 37,

Total reports proofread by both of them in one hour = 15 + 37 = 52,

Also, the number of reports have to be proofread = 400

Hence, the time taken by both of them when they work together

=\frac{\text{Total reports}}{\text{Number of reports by both of them in one hour}}

=\frac{400}{52}

=7\frac{9}{13}\text{ hours}

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Answer:

A, C, and E

Step-by-step explanation:

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1 year ago
Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
1 year ago
Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he wants his heating bill to be
hammer [34]

Write and solve an inequality:

Total(t) = $5.42 + ($1.08/therm)(t) ≤ $87.50.

First, subtract $5.42 from $87.50:  then ($1.08/therm)(t) ≤ $82.08

Next, divide both sides by $1.08 per therm:


t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum).  Thus, Rameen's usage could be [0,76] (therms).

3 0
2 years ago
What is the slope intercept form of (3,3) (7,-1)
kow [346]
Slope intercept form follows this general equation...
y=mx+b
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
m= \frac{y_2-y_1}{x_2-x_1}
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
m=\frac{-1-3}{7-3} =-1
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y=-1x+b
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
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5 0
1 year ago
Cindy found a collection of baseball cards in her attic worth $8,000. the collection is estimated to increase in value by 1.5% p
Sergio [31]
A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015, 
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b] The value of the collection after 7 years will be:
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plugging the values we get:
y=8000(1.015)⁷
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Answer: $8,878.76
7 0
2 years ago
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