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babunello [35]
4 years ago
8

Min and Jessica collected 60 plastic bottles. They divided the plastic bottles evenly between them and sold the bottles to a rec

ycling center for 10 cents each. Let n represent the amount of money, in cents, that Min and Jessica each earned from the recycling center. Which equation could be used to find the amount of money Min and Jessica each earned? n = 60 × 2 × 10 n = 60 ÷ 2 ÷ 10 n = 60 ÷ 2 × 10 n = 60 × 2 × 10
Mathematics
1 answer:
saveliy_v [14]4 years ago
5 0

Step-by-step explanation:

60/2=30

30x10= three dollars

n=60/2 x 10n

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A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
Sidana [21]

Answer:

Son's age is 25.

Step-by-step explanation:

Let the Father's age be 2x.

Let the son's age be x.

Five years ago:

Man's age will be = 2x - 5

Son's age will be = x - 5

If the ratio of their ages five years ago was 9:4, then:

2x - 5/x-5 = 9/4

⇒ 4(2x - 5) = 9(x - 5)

⇒ 8x - 20 = 9x - 45

⇒ -20 + 45 = 9x - 8x

⇒ 25 = x

∴ x = 25

Hence, the son's age = 25 years

If x = 25, the father's age (2x) will be 2 × 25 = 50 years

7 0
3 years ago
The CBGC pays college and high school students $5.75 per hour to tutor the younger boys and girls. If one of those tutors works
Levart [38]

Answer:

1. $35.075

2. 43.5 hours

3. 70%

4. Danny is correct

5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5

Step-by-step explanation:

The pay per hour for student tutors = $5.75

1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore

The week earning for the tutor = 6.1 × 5.75 = $35.075

2. The Club's tutoring budget per week = $250

The number of tutoring hours that can be provided per week is given by the relation;

\frac{The \, Club's \ tutoring\  budget \ per \, week}{The \, pay \ per \, hour\,  for\,  student\,  tutors} = \frac{\$250}{\$5.75/hour} = 43.47826  \approx 43.5 \, hours

3. The score of 21 out of 30 as a percentage is given as follows;

\frac{21}{30} \times 100 = 70\%

4. Where the second score is 45 out of a total of 60 points, we have;

\frac{45}{60} \times 100 = 75\%

Therefore, the increase in Abe's score is 5%, therefore, Danny is correct

5. To raise his checkup quiz grade to 80% overall, then we should have;

\frac{70 + 75 + Q}{300} =\frac{80}{100}

Where:

Q = The percentage grade of the last quiz

(145 + Q)×100 = 80×300 = 24000

145 + Q = 240

Q = 240 - 145 = 95%

Therefore, he has to score, 95% of 30 on the last quiz, which is thus;

\frac{95}{100} \times 30 = 28.5

Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.

7 0
3 years ago
A hose can be used to fill a swimming pool with water at a rate of 4 inches per hour.
aleksley [76]
I hope you have a good day
8 0
2 years ago
1.What values of a,b,and c would you use in the quadratic formula for the following equation?
SCORPION-xisa [38]
First, rearrange the quadratic equation:
5x² + 9x - 4 = 0

Now, compare it to the general quadratic equation:
a<span>x² + bx + c = 0

Therefore you get:
a = +5
b = +9
c = -4

And the quadratic formula will be:

x = [-b +/- </span>√(b² - 4ac)] / 2a
   = [ -5 +/- √(81 - 4·5·(-4))] / 2·5
   = (-5 +/- √161) / 10

6 0
3 years ago
Simplify the following expression. - (5a - 9b)
natta225 [31]

Answer:

-5a + 9b

Step-by-step explanation:

- (5a - 9b)

Distribute the minus sign

-5a + 9b

4 0
3 years ago
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