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3 years ago

it takes 545454 minutes for 444 people to paint 666 walls. How many minutes does it take 666 people to paint 777 walls?

Mathematics

2 answers:

Natali [406]3 years ago

4 0

Answer:

42 minutes

Step-by-step explanation:

I think this problem should read:

"If it takes 54 minutes for 4 people to paint 6 walls. How many minutes does it take 6 people to paint 7 walls?"

The fewer people working, the more time it takes, so to go from more people to fewer people, multiply the time to give a larger number. To go from fewer people to more people, divide the time to give a smaller number.

The more walls, the more time it takes, so to go from fewer walls to more walls, multiply the time to give a larger number. To go from more walls to fewer walls, divide the time to give a smaller number.

"it takes 54 minutes for 4 people to paint 6 walls"

then

it takes 9 minutes for 4 people to paint 1 wall (1/6 of the walls in 1/6 of the time)

and

it takes 36 minutes for 1 person to paint 1 wall (1/4 of the people take 4 times longer)

then

it takes 252 minutes for 1 people to paint 7 walls (7 walls take 7 times the time of 1 wall)

and

it takes 42 minutes for 6 people to paint 7 walls (6 people work 6 times faster than 1)

irina [24]3 years ago

3 0

Answer:

230

Step-by-step explanation:

First calculate how long it will take one person to paint one wall.

It will take 1/3 of the time to paint one wall. So it will take 46/3 minutes for 10 people to paint one wall.

For only one person, it will take 10 times as long, so it will take 46/3 * 10 =460/3 minutes for one person to paint one wall.

So, the number of minutes it will take for one person to paint 6 walls is 460/3 * 6= 920 .

The number of minutes it will take for 4 people to paint 6 walls is 920÷4=230

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gavmur [86]

Answer:

Step-by-step explanation:

Let's assume we know the measurement for angle F (let's just call it 20 degrees to help us imagine things).

The triangle in the right of the drawing and the bigger triangle (that contains both of the triangles) share that angle.

We are given angleEDF has measurement 90 degrees because of the square there.

We can find angleE's measurement using that the sum of the interior angles of a triangle is 180.

I'm looking at the green triangle you have 90+20+mAngleE=180.

Let's solve that for mAngleE.

90+20+mAngleE=180

110+mAngleE=180

Subtract 110 on both sides:

mAngleE=180-110

mAngle=70.

The only way we are going to prove these triangles are similar is if we have a condition that helps us show that the smaller two triangles are also 20-70-90 triangles.

Let's look at choice 1)

If DG is an altitude then DG is perpendicular to EF. Perpendicular means it forms 90 degree angles at the intersection.

If we look at the right triangle, this gives us enough information to find the last angle, the angle known as GDF.

mAngleGDF+20+90=180

mAngleGDF+110=180

Subtract 110 on both sides:

mAngleGDF=70.

So we have a 20-70-90 triangle again. So the one on the right and the green triangle are similar.

We can find angle EDG's measurement to since we know angle E's measurement is 70 and angle EGD's measurement is 90.

mAngleEDG+70+90=180

mAngleEDG+160=180

mAngleEDG=20

So we have a 20-70-90 triangle again. So the one on the left is similar to the other two triangles in this picture as well.

Again if the corresponding angles of a triangle are congruent then the triangles are at least similar.

I provided a drawing for number 1 with the example I put here.

Let's look at 2). We already know EF is an hypotenuse of triangle EDF since it is opposite the 90 angle that is EDF.

2 doesn't help us because it gives no additional information.

Let's look at 3). Segment ED is shorter than segment DF. This gives us no measurements or even a ratio to compare the sides.

Let's look at 4). Angle is congruent to itself. There is only one angle that can be seen as angle E in this picture so this also provides no additional information.