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2 years ago

10

Dave typed the first 8 pages of his report in 24 minutes. At this rate, how long should it take Dave to finish typing the rest o

f his 60 pages report ?

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

Answer

180

Step By Step Explanation

24/8 = 3, 3x60=180

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at the cafe, Rebecca can choose to earn $10 per hour plus a $60 starting bonus or earn $12 per hour with no starting bonus. afte

qwelly [4]

Hi there! The answer is 30 hours.

Let the number of worked hours be represented by X.

The total earn of option 1, would then be 10X + 60
The total earn of option 2, would then be 12X

We end up with the following equation:
$10x + 60 = 12x$
Subtract 10X from both sides.

$60 = 2x$
Divide both sides by 2.

$x = 30$
Therefore, after 30 hours of work Rebecca will earn the same amount of money.

8 0

3 years ago

Find two positive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer

mafiozo [28]

Answer:

the numbers are $4,6$

Step-by-step explanation:

Let

x-------> the smaller even consecutive integer

x+2-------> the larger even consecutive integer

we know that

$x^{2}=(x+2)+10$

solve for x

$x^{2}-x-12=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-x-12=0$

so

$a=1\\b=-1\\c=-12$

substitute in the formula

$x=\frac{1(+/-)\sqrt{-1^{2}-4(1)(-12)}} {2(1)}$

$x=\frac{1(+/-)\sqrt{49}} {2}$

$x=\frac{1(+/-)7} {2}$

$x=\frac{1(+)7} {2}=4$ ------> the solution (must be positive)

$x=\frac{1(-)7} {2}=-3$

therefore

the numbers are $4,6$

5 0

3 years ago

Solve 0.667a+5=1.667a

Angelina_Jolie [31]

<span>0.667a+5=1.667a
</span>0.667a - 1.667a = -5
- 1a = -5
a = 5

3 0

2 years ago

Read 2 more answers

Joy bought pens at $ 120 a dozen. He sold it for $15 each. What is his profit percent?

Mazyrski [523]

Answer:

50%

Step-by-step explanation:

He sold it for Rs 15 each. What is his profit percent? CP of 1 pen = 120/12= 10 SP of 1 pen = 15 Profit = 5 P % = (p/CP)*100=(5/10) x 100 = 50%.

3 0

2 years ago

If 3(r+300)=6, then what would be the value of r+300-2?

saveliy_v [14]

Solve for r in the first equation:

3(r+300) = 6

Use the distributive property:

3r + 900 = 6

Subtract 900 from both sides:

3r = -894

Divide both sides by 3:

r = -894 / 3

r = -298

Now you have r, replace r in the second equation and solve:

r +300 -2 =

-298 + 300 - 2 = 0

The answer is 0.

6 0

3 years ago