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3 years ago

Jane was paid $316 for 40 hours of work. Use compatible numbers to find about how much

Mathematics

1 answer:

Vinvika [58]3 years ago

4 0

Answer:

$7.9 /hour

Step-by-step explanation:

$316/40 = $7. 9per hour

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Marice mows the lawns on Saturday. Last week it took him 5 1/2 hours to finish. This week it took only 5 hours. How many times l

Anna35 [415]

$5.5 + x = 5$
one half

6 0

3 years ago

Do you think the equations (x−1)(x+3)=17+x and (x−1)(x+3)+500=517+x should have the same solution set? Why?

oksano4ka [1.4K]

Answer:

Those two pair of equations have the same solution set.

Step-by-step explanation:

There are two equations

(x-1)(x+3)=17+x ..... (1) and

(x-1)(x+3)+500=517+x ...... (2)

We have to check the same solution set will be there for equations (1) and (2) or not.

Now, we are going to rearrange the equation (2).

(x-1)(x+3)+500=517+x

⇒ (x-1)(x+3)=517-500+x

⇒(x-1)(x+3)=17+x

This is the same equation as equation (1).

Therefore, there will be the same solution set for equations (1) and (2). (Answer)

There are two equations

(x-1)(x+3)=17+x ..... (3) and

3(x-1)(x+3)+500=51+3x ...... (4)

We have to check the same solution set will be there for equations (3) and (4) or not.

Now, we are going to rearrange the equation (4).

3(x-1)(x+3)+500=51+3x

⇒ 3(x-1)(x+3)=3(17+x)

⇒(x-1)(x+3)=17+x

This is the same equation as equation (3).

Therefore, there will be the same solution set for equations (3) and (4). (Answer)

7 0

3 years ago

A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a hei

rusak2 [61]

Answer:

The amount of water left in the tank is approximately 58.1 cubic meters

Step-by-step explanation:

step 1

Find the volume of the a cube shape tank

The volume is equal to

$V=b^{3}$

we have

$b=4.6\ m$

substitute

$V=4.6^{3}=97.336\ m^{3}$

step 2

Find the volume of cone

The volume is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=2.5\ m$

$h=6\ m$

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2.5)^{2}(6)$

$V=39.25\ m^{3}$

step 3

Find the difference of the volumes

$97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}$

3 0

3 years ago

Mike has a job mowing lawns for a landscaping company.

Firdavs [7]

Answer:

Melissa

Step-by-step explanation:

Melissa earned $390 while mike only made $230

6 0

3 years ago

Read 2 more answers

Write an equation of the line passing through point P(0, −1)P(0, −1) that is parallel to the line y = −2x+3y = −2x+3.

Feliz [49]

This is the answer y= -2x-1

5 0

3 years ago