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Aleks04 [339]
3 years ago
8

Mr. Rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4 1 2 hours. If Mr. Rodr

iguez graded the papers for 1 hour and then left the job for his assistant to complete, how long will it take his assistant to finish grading papers?
Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

  3 hours

Step-by-step explanation:

Rodriguez did 1/3 of the job, so the remaining 2/3 of the job will take the assistant 2/3 of the usual time:

  (2/3)(4 1/2) = 3 . . .  hours

The assistant can complete the job in 3 hours.

You might be interested in
Which fractions are equievalent? a.20/5 b.-20/5 c.20/-5 d. -20/-5 e.- 20/5
pogonyaev

Answer:

D) -20/-5 because a negative divided by a negative is a positive.

Step-by-step explanation:


6 0
3 years ago
Four movie tickets cost $26.00 . How much do seven movie tickets cost?
sashaice [31]

Answer:

Hi! I suggest reading the explanation, it will help make this equation more simple.

↓↓↓

The answer is $45.50

Step-by-step explanation:

First, divide 26.00 by four. This will give you 6.5, so now you know that each ticket individually costs $6.5 or $6.50.

next, multiple 6.50 by 7.

this will give you 45.5 or $45.50.

double check your answer by dividing 45.50 by 7.

your answer should be 6.5 on a calculator.

that's all! hope this helped.

7 0
2 years ago
What is the slope of the line that passes through the points (8,-4) and (6,3) in simplest form
Nesterboy [21]

Step-by-step explanation:

Rise of y-value = (-4) - (3) = -7.

Run of x-value = (8) - (6) = 2.

Slope of the line = Rise / Run = (-7) / (2) = -3.5.

5 0
2 years ago
I will give brainliest!!!!!!!!!!!!!<br> please answer all the questions and no links! :)
Scilla [17]

Answer:

1. a

2. b (i think)

3. b

4. a

5. d

im not sure bout all this but h ope it helps you

3 0
3 years ago
Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
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