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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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Barbra can walk 3,200 meters in 24 minutes. How far can she walk in three minutes.
lisabon 2012 [21]

Answer:

Step-by-step explanation:

To find how far she can walk in 3 minutes, we need to find how fast she can walk in 1 minutes. We do this by dividing the distance she walked by the time she walked. Lets do so.

3200/24=133.33

She walks 133.33 meters per minute. Now to find her distance in 3 minutes w multiply this number by 3.

133.33*3=400

Barbra walks 400 meters every 3 minutes.

3 0
3 years ago
What is 43.586 rounded to the nearest hundredth
USPshnik [31]
The answer is 43.590.
5 0
3 years ago
Read 2 more answers
Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.
Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point P(x,y,z) such that its distance from either the point A(3,4,-5) or B(-2,1,4) is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}

similarly, we can find the distance BP

BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

since both distances are exactly the same we can equate them

AP = BP

\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0
3 years ago
Kelly is having a party. She wants to make punch. The recipe for punch uses 3 pints of pineapple juice, 5 cups of orange juice,
lorasvet [3.4K]

Answer:

Kelly is wrong and the recipe will make 19 cups of punch.

Step-by-step explanation:

It says:

The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,

Pineapple juice = 3 pints = 6 cups (1 pint ≈ 2 cups)

Orange juice = 5 cups

Lemonade = 1/4 gallon = 4 cups (1 gallon = 16 cups)

Apricot nectar = 1 quart = 4 cups(1 quart = 4 cups)

Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.

Thus, Kelly is wrong and the recipe will make 19 cups of punch.

4 0
2 years ago
What’s the surface area of a cylinder with a height of 6yd and width of 4yd
Marta_Voda [28]
Answer: 100.53096 (round if you need to)

Steps:
Surface area of cylinder formula = 2πrh + 2 πr^2

2πrh + 2 πr^2
2(π)(2)(6) + 2(π)(2^2)
2(π)(12) + 2(π)(4)
= 100.53096
5 0
3 years ago
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