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arsen [322]
3 years ago
13

Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quar

ters does he have
Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:

He has 11 quarters

Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

- There are dimes and quarters

- The dime = 10 cents

- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

- The number of dimes = 3 + 3 × number of quarters

* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

∴ 10(3) + 10(3Q) + 25Q = 635

∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms

∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

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Answer:

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3. (if you can send a picture of the question, I can tell you an answer.

Step-by-step explanation:

for number 1:

You have to add the scores on the left and divide it by the total. What I did was multiply each number on the right with it's pair and added it up. I got 111. Afterwards,  I totalled the number of students (I got 38) and divided the scores by the number of students to get 2.9.

for number 2:

You do the same thing as number one but instead of multiplying pairs, you add the heights. I got 255 and then divided it by 5 total heights. I got 51 inches.

for number 3: I didn't get the graph to tell you the answer but I can tell you what everything means.

Symmetric means that both sides of the graph are equal and if you fold the graph in half horizontally, you should get the same shape.

Gaps are where you see blanks in the graph where the data gets cut off and then has stats again.

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3 years ago
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5 0
3 years ago
The percentage change of a ratio of two variables is approximately the percentage change in the numerator _____ the percentage c
olchik [2.2K]

Answer:

"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."

Step-by-step explanation:

The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.

Suppose the original ratio of two numbers is: \frac{25}{100}.

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3 years ago
Read 2 more answers
For a project in her Geometry class, Chee uses a mirror on the ground to measure the
maria [59]

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

  • The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to =  1.4 meters

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Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }

Which gives;

h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}

  • The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

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N²+20n+100 = (n+10)(n+10)
Yes is it a perfect square trinomial
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