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noname [10]
2 years ago
11

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:
cricket20 [7]2 years ago
7 0
3 1/2 hours because Rodriquez graded one hour of papers and if his assistant grades the class papers in 4 1/2 hours, it should only take him 3 1/2 hours since Rodriquez helped with an hour of it
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What is 15 tens - 1 gross ​
vampirchik [111]

Answer:

see the explanation

Step-by-step explanation:

we know that

A gross is equal to 120 ones or ten dozen

what is 15 tens - 1 gross

we know that

15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

10(15)=150

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12

which gives you

10(12)=120

so

The algebraic expression of 15 tens - 1 gross is equal to

150-120=30

Convert to word expression

3  tens

8 0
2 years ago
You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W
stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

h(t) = -0.08t^{2} + 1.6t + 2

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2

The initial height of the balloon is 2 feet.

4 0
2 years ago
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and
uranmaximum [27]

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.

Distance in kilometers taken by variable d.

Number of hours by t.

And situation is given d=50t.

We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.

In the given fuction y is taken by variable d and x is taken by variable t.

If we compare d=50t by y = mx, the value of k is 50.

Therefore, constant of proportionality is 50.

Constant is a number that never change it's value.

Therefore, constant of proportionality is just 50.

But we can say variables d and t are two variables those are directly proportional to each other.

Constant of proportionality is actually unit rate of change.

For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)

If we divide 400km 8 hours, we get 400/8 = 50 km per hour.

Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".

And the constants of proportionality is just 50.

7 0
2 years ago
3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to t
avanturin [10]
=3400(1+0.0825/1)^1*25
=3400(1.0825)^25
=3400(7.2560058)
=24670.41

Hope this helps!!!
6 0
2 years ago
Neal buys a board game. He pays for the board game and pays \$1.54$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rat
Stella [2.4K]

Answer:

$1.46

Step-by-step explanation:

To find the original price of the game, write a proportion. $1.54 is the amount after a 5.5% tax rate. This means he paid 105.5% on the original price.

\frac{1.54}{y}=\frac{105.5}{100}

Find y by cross multiplying numerator and denominator of each fraction.

1.54(100) = 105.5y

154 = 105.5y

1.46 = y

3 0
2 years ago
Read 2 more answers
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