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3 years ago

Greg made $253 for 11 hours of work. At the same rate, how much would he make for 18 hours of work?

Mathematics

2 answers:

RSB [31]3 years ago

7 0

Answer:

$414

Step-by-step explanation:

Let's start by figuring out how much he earns per hour.

253/11=23

Greg earns $23 per hour. So if he worked for 18 hours, he would make $414.

a_sh-v [17]3 years ago

3 0

Answer:

$414

Step-by-step explanation:

First, we have to find the unit rate, so our first equation is:

253 ÷ 11 = 23

So Greg gets $23 an hour

So for 18 hours our equation is:

23 x 18 = 414

So Greg would make $414 if he worked for 18 hours

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Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

$\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }$

Note that

$\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}$

When dividing $\sqrt[7]{x^5}$ by $\sqrt[4]{x^2},$ we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

$\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}$

and the result is $x^{\frac{3}{14}}=\sqrt[14]{x^3}$

2. Given equation $3\sqrt[4]{(x-2)^3} -4=20$

Add 4:

$3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24$

Divide by 3:

$\sqrt[4]{(x-2)^3} =8$

Rewrite the equation as:

$(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3$

Hence,

$\left((x-2)^{\frac{3}{4}}\right)^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}\\ \\x-2=2^{3\cdot \frac{4}{3}}\\ \\x-2=2^4\\ \\x-2=16\\ \\x-2+2=16+2\\ \\x=18$

3 0

3 years ago

Linda and Imani are each traveling in a car to the beach. Linda’s travel is modeled by a table. Imanis travel it modeled by grap

tino4ka555 [31]

Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

- Take any two points: (0,10) and (1, 65).

Slope = (y1 - y2)/(x1 - x2)

= (65-10)/(1-0)

= 55

Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

- Take any two points: (0,0) and (1, 60).

Slope = (y1 - y2)/(x1 - x2)

= (60-0)/(1-0)

= 60

Since the slope is 60, we know her speed is 60 miles per hour.

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.

7 0

3 years ago

Greg made $253 for 11 hours of work. At the same rate, how much would he make for 18 hours of work?​

Greg made $253 for 11 hours of work. At the same rate, how much would he make for 18 hours of work?