Ask question

Ask question

All categories

2 years ago

6

Ted can change an advertisement on a billboard in 5hr. Marie can do the same job in 2hr. How long would it take them if they wor

ked together? Write your answer as a fraction or mixed number, if necessary.

1 answer:

AnnyKZ [126]2 years ago

5 0

Answer:

Working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

Step-by-step explanation:

Given that Ted can change an advertisement on a billboard in 5 hours, while Marie can do the same job in 2 hours, to determine how long it would take them if they worked together the following calculation must be performed:

Ted 1/5 in 1 hour

Marie 1/2 in 1 hour

1/5 + 1/2 = X

5X + 2X = 10

7X = 10

X = 10/7

X = 1 3/7

60/7 x 3 = 25.71

60 x 0.71 = 42.6

So, working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

You might be interested in

Solve for the two acute angles

sineoko [7]

Answer:

Angle A = 37 degrees, and Angle B = 53 degrees.

Step-by-step explanation:

We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.

Angle A = 6x + 7

Angle B = 11x-2

Angle C = 90 degrees

A + B + C = 180

Substitute:

6x + 7 + 11x - 2 + 90 = 180

17x + 5 + 90 = 180

17x + 5 = 90

17x = 85

x = 5

Now substitute 5 for x in both acute angles and you will get your answer.

Angle A = 6(5) + 7

Angle A = 30 + 7

Angle A = 37

Angle B = 11(5) - 2

Angle B = 55 - 2

Angle B = 53

Angle A = 37 degrees, and Angle B = 53 degrees.

Hope this helps.

7 0

2 years ago

Which is the best approximation of the volume of a cone with the same base and height as the cylinder?

Sever21 [200]

If the volume of a cylinder is x, then the volume of a cone with same height and diameter is x/3

so

if the cone is 72ft³ then the cone with same base and height is 72/3ft³=24ft³

answer is A

3 0

3 years ago

Consider the diagram below. which of the following represents the values x,y and z?

Gemiola [76]

Answer:

$x=4\sqrt{6}\ units$

$y=4\sqrt{2}\ units$

$z=4\sqrt{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

$x^2=y^2+(12-4)^2$

$x^2=y^2+64$

$y^2=x^2-64$ ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

$z^2=y^2+4^2$

$z^2=y^2+16$

$y^2=z^2-16$ ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$12^2=x^2+z^2$

$144=x^2+z^2$ ----> equation C

step 4

Equate equation A and equation B

$x^2-64=z^2-16$

$x^2=z^2+48$ -----> equation D

step 5

substitute equation D in equation C

$144=z^2+48+z^2$

solve for z

$2z^2=144-48$

$2z^2=96$

$z^2=48$

$z=\sqrt{48}\ units$

simplify

$z=4\sqrt{3}\ units$

Find the value of x

$x^2=z^2+48$

$x^2=48+48=96$

$x=\sqrt{96}\ units$

$x=4\sqrt{6}\ units$

Find the value of y

$y^2=z^2-16$

$y^2=48-16$

$y^2=32$

$y=\sqrt{32}\ units$

$y=4\sqrt{2}\ units$

3 0

3 years ago

So confused with fractions and stuff can anyone help me?

ratelena [41]

The common denominator is 3 because

example: 3x4= 12 and 3x3= 9

5 0

3 years ago

Read 2 more answers

A service call for repairing your mower is $50 plus $80 per hour.

Norma-Jean [14]

Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

6 0

2 years ago