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nexus9112 [7]
3 years ago
6

There are 5 black marbles, 17 blue marbles, 10 brown marbles, and 12 white marbles. What is the ratio of white marbles to all th

e marbles?
Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0

Answer:

12:44

Step-by-step explanation:

u would add all the marbles up and then put the white marble amount in front of a colon and then put the total marbles

Wittaler [7]3 years ago
5 0

Answer:

3/11

Step-by-step explanation:

The total number of marbles is

5 black marbles+ 17 blue marbles+10 brown marbles+ 12 white marbles= 44

ratio of white to all

white/total = 12/44

Divide the top and bottom by 4

3/11

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Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

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HELP!
Contact [7]

This is about changing subject of formula.

<u><em>1) Option D</em></u>

<u><em>2) Option B</em></u>

<u><em>3) Option C</em></u>

<u><em>4) Option C</em></u>

<u><em>5) Option B</em></u>

  • 1) \frac{2}{3}x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by \frac{3}{2}.

Option D is correct

  • 2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

  • 3)  S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

  • 4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved  $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

  • 5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x \leq 250

11x \leq 250 - 35

11x \leq 215

x \leq 215/11

x \leq 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

3 0
3 years ago
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