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serg [7]
3 years ago
9

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

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a parking meter contains $8.25 in dimes and quarters. after emptying the meter, the worker counts 51 coins. how many quarters an
Marianna [84]
<h3>30 dimes and 21 quarters are present</h3>

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

1 dime = $ 0.10

1 quarter = $ 0.25

The worker counts 51 coins

Therefore,

d + q = 51

d = 51 - q ---------- eqn 1

<em><u>A parking meter contains $8.25 in dimes and quarters</u></em>

Therefore,

0.10d + 0.25q = 8.25 -------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

0.10(51 - q) + 0.25q = 8.25

5.1 - 0.10q + 0.25q = 8.25

0.15q = 3.15

Divide both sides by 0.15

<h3>q = 21</h3>

Substitute q = 21 in eqn 1

d = 51 - 21

<h3>d = 30</h3>

Thus 30 dimes and 21 quarters are present

8 0
3 years ago
Jeremy's score was 1.75 standard deviations above the mean. which kf thr following is closest to his percentile rank
Gelneren [198K]
The answer is 96%.

Explanation:
It is generally presumed that the scores are normally distributed.

1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75

2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599

3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.

Hence, the answer is 96%.

4 0
4 years ago
=4−13. Please. I need help
Tatiana [17]

Answer:

4-13=-9

Step-by-step explanation:

6 0
3 years ago
باستعمال log4 2=0.5 فإن قيمة log4 32 هي
11Alexandr11 [23.1K]

Answer:

\mathbf{\log_432}=2.5

Step-by-step explanation:

\log_42=0.5

حن بحاجة إلى إيجاد\log_432

دع\log_432=x

\log_42\times 2\times 2\times 2\times 2=x

\Rightarrow x=\log_42^5

\Rightarrow x=5\log_42   [\because \log_ab^x=x\log_ab]

\Rightarrow x=5\times0.5

\Rightarrow x=2.5

\mathbf{\therefore\log_432=2.5}

7 0
3 years ago
Suppose it takes 18 hours for a pipe to fill a tank of water, if the tank
Lemur [1.5K]

Answer:

Step-by-step explanation:

Let the volume of tank be x

In 18 hours volume of tank filled = x

we have to find the volume of tank which is filled in 1 hours.

For that we divide LHS and RHS by 18

In 18/18 hours volume of tank filled = x/18

In 1 hours volume of tank filled = x/18

In 30 hours volume of tank emptied = x

we have to find the volume of tank which is emptied in 1 hours.

For that we divide LHS and RHS by 30

in 30/30 hours volume of tank filled = x/30

In 1 hours volume of tank filled = x/30

If tank is empty and one starts to fill it, two things will happen

it will start filling at rate of x/18 hours

But there is leak which will start to empty the tank at  x/30 hours

So , at any given time rate if filling of water will be rate of filling the tank- rate of emptying the tank

In 1 hour volume of tank filled if both filling and leaking takes place simultaneously =  x/18 -x/30 = (30-18)x/18*30 = 12x/18*30 = x/3*15 = x/45

In 1 hour volume of tank filled = x/45

in 1*45 hour volume of tank filled = x/45*45 = x

Thus, it will take 45 hours to fill the leaky tank  .

4 0
4 years ago
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