All categories

3 years ago

Which property justifies the following steps:

Mathematics

2 answers:

ad-work [718]3 years ago

6 0

Step 3:
14/7x-6/3=5
2x-2=5
2x=5+2
2x=7
x=7/2

Vlada [557]3 years ago

3 0

Commutative.

Hope this helps :)

You might be interested in

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platfo

chubhunter [2.5K]

Answer:

1920π

Step-by-step explanation:

First, you need to find the volume of the statue in terms of pi.

Volume of cylinder formula:

V=πr²h

V=π4²15

V=π16×15

V=240π

Then, you need to find the mass of the statue.

Mass:

Mass= density × volume

Mass=20×240π

Mass=4800π

Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:

V=mass of sand/density

V=4800π/2.5

That gives you your answer:

1920π

Note: I had to do the exact same problem on Khan Academy. This is right.

3 0

3 years ago

What is the ratio 42 to 48 as a fraction in simplest form?

Dominik [7]

42/48 in simplest form is 7/8

6 0

3 years ago

Convert 0.25 with the 5 recurring to a fraction in its simplest form.

pentagon [3]

Answer:

Step-by-step explanation:

I'm taking this to mean

x = 0.255555555555... If this is not correct, leave a note. Multiply by 100

100 x = 25.55555555555555 ... Divide by 10

10x = 2.55555555555555 ... Subtract

90 x = 23

x = 23/90

Try putting 23/90 in your calculator. You will find it is 0.25555555... just what you were given

6 0

2 years ago

Which diagram shows the most useful positioning and accurate labeling of a kite in the coordinate plane?

belka [17]

Based on the given diagrams above, the correct answer would be the first diagram. The diagram that shows the most useful positioning and accurate labeling of a kite in the coordinate plane would be the first diagram. Hope this is the answer that you are looking for.

5 0

3 years ago

Read 2 more answers