1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
coldgirl [10]
3 years ago
12

a parking meter contains $8.25 in dimes and quarters. after emptying the meter, the worker counts 51 coins. how many quarters an

d dimes were in the meter
Mathematics
1 answer:
Marianna [84]3 years ago
8 0
<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

You might be interested in
I need help with numbers 1 and 2
Snowcat [4.5K]

Answer:

1.No, 143 is not a prime number. The list of all positive divisors the list of all integers that divide 143 is as follows: 1, 11, 13, 143. To be 143 a prime number, it would have been required that 143 has only two divisors, itself and 1.

2.Since the polynomial can be factored, it is not prime.

4 0
3 years ago
Which expressions are equivalent to 76(3 + c)?​
dimaraw [331]

Answer:

76c + 228

Step-by-step explanation:

Use the distributive property

76 × 3 = 228

76 × c = 76c

76c + 228

6 0
3 years ago
Read 2 more answers
Is this triangle congruent by
Alenkasestr [34]

Answer:

SAS

Step-by-step explanation:

8 0
3 years ago
1. Carlos wants to deposit $900 into savings accounts at three different
AleksandrR [38]

Answer:

$150

Step-by-step explanation:

0.2 X 750 = 150

hope this helps

8 0
3 years ago
An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet
drek231 [11]
<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h

Where,

r=radius=\frac{diameter}{2}\\h=height

We are given the old can dimensions:

radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm

So, calculating the volume, we have:

Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}

We have that the volume of the old can is:

Volume_{Can}=199.7cm^{2}

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm

Calculating we have:

Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0
3 years ago
Other questions:
  • Using the figure below find what m&lt;_1=. (show work if possible)
    6·1 answer
  • Find the coordinates of the vertices of the image of triangle ijk after it is dilated by a scale factor of two using the organ a
    15·1 answer
  • Lucy opened an investment account with $6600. At the end of the year,the amount in thr account had increased by 6.5%
    9·1 answer
  • PLZ ANSWER THANK YOU
    8·1 answer
  • a cell phone company charges $60.00 a month for up to 1 gigabyte of data. the cost of additional data is $0.05 per megabyte. if
    13·2 answers
  • Combine the like terms to simplify the expression 2x+3y-5x+4y-8z
    12·1 answer
  • If you like peanut butter and chocolate, then you will love Reese's.
    11·1 answer
  • if the ratio of the volume of two cubes is 1 : 8 , then find the ratio of the total surface area of the two cubes​
    5·1 answer
  • What is the solution of 10 = 15x ?
    13·2 answers
  • What is the volume of a right circular cylinder with a diameter of 46. 25 cm and a height of 18. 5 cm? Enter your answer in the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!