If 30 Coins In Quarters And Dimes Are Worth $4.80, How Many Of Each Coin Are There?​

Answers

Answer 1

Answer:

There are 18 dimes and 12 quarters

Step-by-step explanation:

Remember that

1 Dime =$0.10

1  Quarter=$0.25

Let

x-----> the number of dimes

y-----> the number of quarters

we know that

x+y=30

x=30-y ------> equation A

0.10x+0.25y=4.80

Multiply by 100 both sides

10x+25y=480 ------> equation B

Substitute equation A in equation B and solve for y

10(30-y)+25y=480

300-10y+25y=480

15y=180

y=12 quarters

Find the value of x

x=30-y=30-12=18 dimes

therefore

There are 18 dimes and 12 quarters

Answer 2

Final answer:

To solve this problem, set up a system of equations and solve them simultaneously.

Explanation:

Let's solve this problem using a system of equations.

Let's assume that the number of quarters is 'x' and the number of dimes is 'y'.

We can set up two equations based on the given information:

Equation 1: x + y = 30 (since there are 30 coins in total)Equation 2: 0.25x + 0.10y = 4.80 (since the total value of the coins is $4.80)

Solving these equations simultaneously, we can find the values of 'x' and 'y', which represent the number of quarters and dimes respectively.

By substituting the value of x from Equation 1 into Equation 2, we get:

0.25(30 - y) + 0.10y = 4.80

7.50 - 0.25y + 0.10y = 4.80

-0.15y = -2.70

y = 18

Substituting the value of y into Equation 1, we get:

x + 18 = 30

x = 12

Therefore, there are 12 quarters and 18 dimes.


Related Questions

The equation of a parabola is given. y=1/4x^2−3x+18 What are the coordinates of the focus of the parabola?

Answers

Answer:

(6,10)

Step-by-step explanation:

Used a calculator

PLEASE HELP ME i'm struggling in math what is x? if i carry the 3 over does that mean i add or multiply? Brainliest answer!!!! 30 points

Answers

Answer:

carry over the three means to add i hope you are happy

Step-by-step explanation:

Answer: Usually you have to find the value of X, for example if 9 - x = 5, then you have to subtract 5 from the nine and you get 4, and when you carry three over that means you have to regroup, for example

902 +

459

so 9+2=11, so you put 1 right there

902 +

459

.....1

and you carry the other 1 next to the 0, then it will become 10 + 5,

hope this helps, if you still don't get it tell me

Step-by-step explanation:

+

8 less than the product of a number n and 1/5 is no more than 95

Answers

Answer:

(n/5)-8≤95

Step-by-step explanation:

The solution for the given problem is : [tex]\( n \leq 515 \)[/tex].

Sure, let's solve the problem step by step.

Given: [tex]\( \frac{1}{5}n - 8 \leq 95 \)[/tex]

To solve for [tex]\( n \),[/tex] we'll first add 8 to both sides of the inequality:

[tex]\( \frac{1}{5}n \leq 95 + 8 \)[/tex]

[tex]\( \frac{1}{5}n \leq 103 \)[/tex]

Now, we'll multiply both sides by 5 to isolate[tex]\( n \)[/tex]:

[tex]\( 5 \times \frac{1}{5}n \leq 5 \times 103 \)[/tex]

[tex]\( n \leq 515 \)[/tex]

So, the solution is[tex]\( n \leq 515 \)[/tex]

In conclusion, the solution to the problem is [tex]\( n \leq 515 \)[/tex]. We reached this conclusion by carefully manipulating the inequality step by step to isolate [tex]\( n \).[/tex] This process ensures that our solution is accurate and follows the rules of algebra.

Complete question:

8 less than the product of a number n and 1/5 is no more than 95

Suppose that 7% of the general population has a disease and that the test for the disease is accurate 70% of the time. What is the probability of testing positive for the disease.

Answers

Answer:

0.049

4.9 % of probability

Step-by-step explanation:

The probability of having the disease is equal to 7%

The probability of testing positive, having the disease is equal to 70%

We are looking for the probability of testing positive.

For that, we need to multiply the probabilities to find the result

P = (0.07)*(0.7)

P = 0.049

P = 4.9%

(6-3(cube root of 6)/(cube root of 9)

Answers

For this case we must simplify the following expression:

[tex]\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}}[/tex]

Multiplying the numerator and denominator by[tex](\sqrt [3] {9}) ^ 2[/tex]

[tex]\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}} * \frac {(\sqrt [3] {9}) ^ 2} {(\sqrt [3] { 9}) ^ 2} =[/tex]

We rewrite:

[tex]\frac {\frac {6-3 \sqrt [3] {6}} * (\sqrt [3] {9}) ^ 2} {\sqrt [3] {9} * (\sqrt [3] {9 }) ^ 2} =[/tex]

By properties of powers we have that:

[tex]a ^ m * a ^ n = a ^ {m + n}\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {(\sqrt [3] {9}) ^ 3} =\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {9} =[/tex]

We rewrite, moving the exponent within the radical:

[tex]\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {9 ^ 2}} {9} =\\\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {81}} {9} =[/tex]

We can rewrite[tex]3 * 3 ^ 3 = 81[/tex]

[tex]\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {3 * 3 ^ 3}} {9} =[/tex]

We simplify:

[tex]\frac {(6-3 \sqrt [3] {6}) * 3 \sqrt [3] {3}} {9} =[/tex]

We apply distributive property:

[tex]\frac {18 \sqrt [3] {3} -9 \sqrt [3] {18}} {9} =[/tex]

Simplifying we finally have:

[tex]2 \sqrt [3] {3} - \sqrt [3] {18}[/tex]

Answer:

[tex]2 \sqrt [3] {3} - \sqrt [3] {18}[/tex]

Which is the best estimate for the percent that is represented by the shaded portion of the diagram? 30% 36% 38% 40%

Answers

Answer:

Three of the boxes out of the eight are shaded.

So, 3/8 is .375 which is around 38%.

Hello there!

In this diagram, there are a total of 8 squares, and 3 of them are shaded. This means that 3/8 of them are shaded, and to find what percent this is, divide 3 by 8 and multiply what you get by 100.

3 divided by 8 = 0.375

0.375 x 100 = 37.5%.

37.5% is closest to 38%, so that is your answer!

I hope this helps and have a great rest of your day!

How many solutions exist for the given equation 0.75(x+40)=0.35(x+20)+(x+20)

Answers

Answer: Wow! That's a tough one, but x = 5 is the only possibility

Step-by-step explanation:

Complete the table, and make a graph showing the relationship between quarts and pints

Answers

Step-by-step explanation:

One quart equals to Two pints.

As a result to find the number of quarts that equal a certain number of pints you multiply number of quarts by 2

FORMULA= (P=Q×2)

1Q=2P

2Q=4P

3Q=6P

4Q=8P

For a certain spinner, if we expect to win a prize four times in sixty tries, what is the theoretical probability of winning a prize?
A) 1/30
B) 1/20
C) 1/15
D) 1/5

Answers

Answer:

C

Step-by-step explanation:

60 divided by 4, is fifteen, and 1/15 is 4/60 simplified.

Answer: A is maybe the answer.

Step-by-step explanation:

answer for a math problem i am stuck on

Answers

Answer:

m = 116 and a = 105

Step-by-step explanation:

The angle m and 64 are supplementary angles because line of a straight line separated by another straight line. This means that m + 64 = 180, or m = 116.

The sum of all the angles in a quadralateral like this one is 360. So angle a = 360 - 89 - 50 - 116, or a =105.

Answer:

m=116  a=105

Step-by-step explanation:

there is 360 degrees inside a square, i found M by subtracting 180 - 64, because there is a 180 degree angle on a flat line and it showed the other side has 64 degrees, and since we know that m is 180-64=116, we can find A. take the total of degree of the inside of the square which is 360, and subtract all the other angle degrees from it to find the missing number. 360-89-50-116=A. A= 105 degrees.

im sorry if this made your problem more confusing, its hard to explain with words alone

Which best explains or justifies step 2

Answers

Is there a picture that goes with this ?
Or other steps ?

Answer B

Step-by-step explanation:

What is 1 hundreth + 3 tenths ​

Answers

Answer: 0.31

Step-by-step explanation:

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a percent.

Answers

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

[tex]n(S) = 2^{10} \\= 1024[/tex]

Let A be the event that the tails appear 7 times:

Then,

[tex]C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\[/tex]

Converting into percentage:

[tex]P(A) = 0.1171*100=11.7%[/tex]

So, option C is correct ..

Answer:4.4%

Step-by-step explanation:just took it

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

Answer: It is correctly simplified form.

Step-by-step explanation:

Since we have given that

[tex]-3m-[2x+(5-m)]+7[/tex]

We need to simplify the above expression:

[tex]-3m-2m-5+m+7\\\\=-5m+m+2(\text{gather the like terms})\\\\=-4m+2\\\\=2-4m[/tex]

So, [tex]-3m-[2x+(5-m)]+7=2-4m[/tex]

Hence, it is correctly simplified form.

A can contains 24 fluid ounces of juice. How many pints of fruit juice does the can contain?​

Answers

Answer:

The can contains 1.5 pints of fruit juice.

Step-by-step explanation:

A can contains 24 fluid ounces of juice.

We have to convert the amount of juice from ounce to pints.

As we know that 1 fluid ounces = [tex]\frac{1}{16}[/tex] pints or 0.0624 pints.

So 24 fluid ounces = 0.0625 × 24 =  1.5 pints.

Therefore, The can contains 1.5 pints of fruit juice.

The can contain 1.5 pints of fruit juice

How many pints of fruit juice does the can contain?​

A pint is equal to 16 fluid ounces. That is:

1 pint = 16 fluid ounces

To find out how many pints of juice the can contains, we need to divide the number of fluid ounces by the number of fluid ounces in a pint.

Thus, 24 fluid ounces  of juice in pint will be:

24/ 16  = 1.5 pints

Therefore, the can contains 1.5 pints of fruit juice.

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Destiny bought 10 1/2 yards of material for costumes for the city pageant she will use one and 140 yards of the material to make each costume how many costumes can destiny complete

Answers

Answer:

She can complete 8 costumes

Step-by-step explanation:

Answer:

8 costumes

Step-by-step explanation:

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

7ab3

6a4b
42a5b4
77a8b7

Answers

7ab3

To find the GCF, find the number(s) that that have the highest multiple factor in common. The first numbers can all be divided by 7, there's 1 a in common, and 3 b's in common. Combine them since you have variables and numerical values to get 7ab3 .

The greatest common factor of 42a⁵b³, 35a³b⁴, and 42ab⁴ is,

⇒ 7ab³

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

We have to given that;

The numbers are,

⇒ 42a⁵b³, 35a³b⁴, and 42ab⁴

Now, We can formulate;

⇒ GCD {42, 35, 42 } = 7

⇒ GCD {a⁵, a³, a } = a

⇒ GCD {b³ , b⁴, b⁴} = b³

Thus, The greatest common factor of 42a⁵b³, 35a³b⁴, and 42ab⁴ is,

⇒ 7ab³

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if amanda got on the bus at 2:40 and got off the bus at 3:15. how long was amanda on the bus

Answers

Answer:

35 minutes

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

She was on the bus for :20 before 3:00 and for :15 after 3:00, for a total of ...

:20 +:15 = :35

That is, 35 minutes.

___

There are 60 minutes in an hour. If you like, you can change an hour to 60 minutes and write the exit time as 3:15 = 2:75. Then you can perform the subtraction

2:75 -2:40 = 0:35

You are to demonstrate that you understand what represents a function and what does not represent a function. You may do this by either writing a paragraph using complete sentences or drawing pictures with labels.

Answers

we are required to demonstrate that we understand what represents a function and what does not represent a function by writing a paragraph which can be given as:

We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.

For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.

We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.

Solve the proportion 15t/5=(2t+3)/6.

Answers

[tex] \frac{15t}{5} = \frac{2t + 3}{6} \\ 90t = 10t + 15 \\ 80t = 15 \\ t = 0.1875[/tex]

Which of the following equations corresponds to the graph below

Answers

the answer would be d because it goes down 2 and over 1

The answer is d because of the y intercept is -1 and the slope is -2 according to y=mx+b

What is 9 +[(4.2- 3.3)+(6.4/0.8)] x 3

Answers

answer. 35.7

explanation: bedmas is important in this question. subtract and divide in the brackets first. add the two numbers in the brackets second. multiply the 8.9 by the 3. then add the 9 to the 26.7

Answer:

35.7

Step-by-step explanation:

9 +[(4.2- 3.3)+(6.4/0.8)] x 3

(4.2- 3.3) = 0.9

(6.4/0.8) = 8

9 + (0.9 +80) × 3 = 9 + 8.9 × 3

                            = 9+26.7

                             = 35.7

Factor the following polynomial 14c^2+15c

Answers

Answer:

 c • (15c2 + 14)

Step-by-step explanation:

14c +  (3•5c3)

3.1     Pull out like factors :

  15c3 + 14c  =   c • (15c2 + 14)

Answer:

c ( 1 4 c + 1 5 )

Step-by-step explanation:

1 4 c ² + 1 5 c

Factor out c

c ( 1 4 c + 1 5 )

Six less than what number is eighteen?

3
12
24
108

Answers

Answer:

24

Step-by-step explanation:

X - 6 = 18

Add 6 to both sides

x = 24

Answer:

the answer is 24

Step-by-step explanation:

Find the area of the shape shown below. (Please try to break down.)

Answers

Hello!

The answer is:

The area of the shape is: [tex]10units^{2}[/tex]

[tex]TotalArea=10units^{2}[/tex]

Why?

To solve the problem, we must consider that the shape is formed by two right triangles and a square, so, to calculate its area, we need to calculate the areas of the two triangles and square, and then, add them.

So, we are given the following information:

Smallest triangle:

[tex]base=2units\\height=2units[/tex]

Square:

[tex]base=2units\\height=2units[/tex]

Largest triangle:

[tex]base=4\\height=2[/tex]

Calculations

Smallest triangle:

We can calculate the area of a triangle using the following formula:

[tex]A=\frac{base*height}{2}[/tex]

So, substituting, we have:

[tex]A=\frac{2units*2units}{2}=2units^{2}[/tex]

Square:

We can calculate the area of a square using the following formula:

[tex]A=base*height[/tex]

So, substituting, we have:

[tex]A=2units*2units=4units^{2}[/tex]

Largest triangle:

We can calculate the area of a triangle using the following formula:

[tex]A=\frac{base*height}{2}[/tex]

So, substituting, we have:

[tex]A=\frac{4units*2units}{2}=4units^{2}[/tex]

Now, calculating the area of the entire shape, we have:

[tex]TotalArea=SmallestTriangleArea+SquareArea+LargestTriangleArea\\\\TotalArea=2units^{2} +4units^{2} +4units^{2} =10units^{2}[/tex]

Hence, the area of the shape is: [tex]10units^{2}[/tex]

[tex]TotalArea=10units^{2}[/tex]

Have a nice day!

Answer:56

Step-by-step explanation:

A state park had a population of 330 rabbits. The population grew, with continuous compounding at a rate of 15% per year for 12years. How many rabbits were in the park after the 12 years?

Answers

330(1.15)^12=1765.58

The population of rabbits grew continuous compounding so formula for continuously compounded will apply.

The rabbits were in the park after 12 years is 1,996 rabbits.

Given:

The population of rabbit is [tex]P=330[/tex].

The rabbit increasing rate is [tex]r=15\%[/tex].

Time is [tex]t=12\:\rm year[/tex].

Apply the formula for continuously compounded to calculate the number of rabbit after 12 year.

[tex]A=Pe^{rt}[/tex]

Substitute the value.

[tex]A=330.00(2.71828)^{(0.15)(12)}\\A=1,996.38 \\A\approx1996[/tex]

Thus, the rabbits were in the park after 12 years is 1,996 rabbits.

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The circumference of a circle with a radius of 1 is 2π. Set up a proportion to find the circumference of a circle with a radius of 6.

Answers

Answer:

6 radius = 2π x 6

              = 12π

Step-by-step explanation:

Circumference of a circle

C = 2πr

here r is radius of circle and 2π is constant is we can say that circumference   of a circle is directly proportional to it's radius.

C ∡ r

Given in the question that circumference of a circle with a radius of 1 is 2π.

1 radius = 2π

6 radius = 2π x 6

              = 12π

What is the hypothesis of the given statement? If pigs had wings, you could fly.

Answers

Final answer:

The hypothesis of the given statement is that if pigs had wings, you could fly.

Explanation:

The hypothesis of the given statement is that if pigs had wings, you could fly.

This statement is an example of a hypothetical scenario, as pigs do not actually have wings. The hypothesis implies that if pigs did have wings, it would enable flight for humans.

It is important to note that this statement is purely hypothetical and does not reflect the reality of pigs having wings.

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find the value of x 5x+6-2=9
A.1
B.5
C.3/7 fraction
D. 5/7 fraction​

Answers

Answer:

A

Step-by-step explanation:

Given

5x + 6 - 2 = 9, that is

5x + 4 = 9 ( subtract 4 from both sides )

5x = 5 ( divide both sides by 5 )

x = 1 → A

What is the main purpose of the reproductive system in organisms on Earth?

A.
to enable an organism to make more of its kind
B.
to control the level of various hormones in the organism
C.
to allow an organism to move through contractile forces
D.
to provide leverage for movement and organ protection

Answers

Answer:

A.

Step-by-step explanation:

That's what I would say, at least.

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