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Gnom [1K]
3 years ago
10

Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone

in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Mathematics
2 answers:
Tcecarenko [31]3 years ago
6 0

Answer

30 minutes

Step-by-step explanation:

castortr0y [4]3 years ago
3 0

Answer: approximately 26.66667  minutes

This converts to 26 minutes, 40 seconds

=================================================

Explanation:

Let's say there are 360 newspapers that need to be delivered.

The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.

Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.

Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.

The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means

26.66667 minutes = 26 minutes, 40 seconds

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Solve the equation -4 + 4a = 12 for a.
WARRIOR [948]

Hello there! The answer to your question is a = 4.

To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.

Our first step is to add 4 to both sides so the 4 cancels out on the left side.

-4+4 + 4a = 12+4

4a = 16

Next, we divide both sides by 4 to finish isolating a.

4/4a = 16/4

a = 4

Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.

-4 + 4(4) = 12

-4 + 16 = 12

12 = 12

Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)

6 0
3 years ago
Read 2 more answers
Which is the best estimate of -14 1/9 × -2 9/10 ​
lana [24]

Answer: 42

Step-by-step explanation:

-14 1/9 would round to -14

-2 9/10 would round to -3

-14 x -3= 42

7 0
3 years ago
Read 2 more answers
Need HELP PLS PIC ATTACHED
Vera_Pavlovna [14]

Answer:

4x^{2}-13x+10

Step-by-step explanation:

(4x+5)(x-2)

Multiply each term in the first parenthesis by each term in the second (foil)

Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)

When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2

Step 2: Calculate product

4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like 4x^{2})

   4x^{2}+4x⋅-2-5x-5⋅-2

4x^{2}+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)

4x^{2}-8x-5x-5⋅-2

4x^{2}-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)

4x^{2}-8x-5x+10

Step 3: collect like terms

4x^{2}-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)

4x^{2}-13x+10 is the most simplified so it should be your final answer

4 0
1 year ago
What is the value of the expression?
nadya68 [22]
B use the app Photomath it helps you with this kinda questions
8 0
3 years ago
How do you do this trig problem.
loris [4]

Consider a right triangle in which one of the angles \theta satisfies

\sin\theta=\dfrac35\implies\theta=\sin^{-1}\dfrac35

That is, the side opposite \theta occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to \theta then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,

\cos\theta=\dfrac45

because

\sin^2\theta+\cos^2\theta=\dfrac9{25}+\dfrac{16}{25}=1

Then in this triangle,

\cot\theta=\cot\left(\sin^{-1}\dfrac35\right)=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac45}{\frac35}=\dfrac43

7 0
3 years ago
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