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3 years ago

12

I can clean my apartment in two hours. My roommate could clean it in three hours. How long will it take use the clean the apartm

ent if we work together?

1 answer:

inysia [295]3 years ago

6 0

Answer:

So in this question you want the average because both of y'all are working together. To take the average you want to multiply 2x3=6/2=3

3 hours if y'all work together!

Step-by-step explanation:

You might be interested in

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

6 0

3 years ago

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for

Aneli [31]

The monthly loan payments are $350 ⇒ B

Step-by-step explanation:

Simple Interest formula (Principal + Interest) is A = P(1 + rt) where:

A is total accrued amount (principal + interest)
P is principal Amount
r is rate of interest per year in decimal
t is time period involved in months or years

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for 5 years at 10%APR.

We need to find how much the monthly loan payments are

∵ Adam is buying a hot air balloon for $19,000 with a down payment

of $5,000

- Subtract the down payment from the cost of the balloon

∴ P = 19000 - 5000 = 14000

∵ The bank approved a simple interest flat rate loan for 5 years at

10% APR

∴ t = 5

∴ r = 10% = 10 ÷ 100 = 0.1

- Substitute all of theses values in the formula above

∵ A = 14000[1 + 0.1(5)]

∴ A = 21000

∴ The loan payment is $21000

- The loan will pay in 5 years

∵ The number of monthly payment = 5 ×12 = 60

- Divide the amount of loan payment by 60

∴ The monthly loan payments = 21000 ÷ 60 = 350

The monthly loan payments are $350

Learn more:

You can learn more about the monthly payment in brainly.com/question/788903

#LearnwithBrainly

3 0

3 years ago

Find the area of the figure. Use 3.14 for pie . Round your answer to the nearest tenth.

gizmo_the_mogwai [7]

Answer:

538.3

Step-by-step explanation:

First of all find the area of the rectangle

L*W

15*30

450

Now find the area of semi circle

1/2 $\pi r^{2}$

Since radius is half a diameter divided 15 by 2=7.5

1/2 $\pi 7.5^{2}$ 7.5 times 7.5= 56.25

1/2*3.14*56.25

56 times 3.14 is 176.625 now multiply 176.625 by 1/2

Answer is 88.3125

Now add 450 to 88.3125

Final answer: 538.3125

7 0

3 years ago

I need questions 12-30 evens on pg 375 and 356!!!!

lidiya [134]

Answer:

I know you have a problem

6 0

2 years ago

A plane flies with a speed of 600 mph. What distance will it fly

Vera_Pavlovna [14]

Answer:

3/5=360 mph 11/12=550 4/15=160

Step-by-step explanation:

4 0

3 years ago