You have 31 coins consisting of nickels and
dimes. The coins total $2.25. How many coins
are nickels? How many are dimes?

Answers

Answer 1

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

[tex]0.05x +0.10y = 2.25[/tex]

[tex]x+y = 31[/tex]

Solving for x yields:

[tex]x=31-y[/tex]

We then proceed by plugging that back into the previous equation:

[tex]0.05(31-y)+0.10y=2.25[/tex]

[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute

[tex]1.55 +0.05y=2.25[/tex] --> add y's together

[tex]0.05y=0.7[/tex] --> subtract 1.55

[tex]y=14[/tex] --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.


Related Questions

25(q-954)=775 what is q?

Answers

Answer:

The value of q = 985

Step-by-step explanation:

==> 25(q-954)=775

=> q-954 = 775/25

=> q-954 = 31

=> q = 31+ 954

=> q = 985

Answer:

q = 985

Step-by-step explanation:

25 (q-954) = 775

q-954 = 775/25

q = 31 + 954

q = 985

33 markers cost $5.79
Which equation would help determine the cost of 13 markers

Answers

Answer:

3/$5.79 = 13/x

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x. Divide $5.79 by three to get the cost of one marker, $1.93. Then multiply the cost of one marker by 13 on the left. This will get the total value which is $25.09.

GIVING BRAINLIEST AND 50 POINTS!! What is the mode of the data represented in this line plot?


Enter your answer in the box.

Answers

Answer:

3

Step-by-step explanation:

The mode is the most repeated data in the set.

According to the graph, the most repeated number is 3. There are four of 3's, three 2's and 4's and two 2's.

The mode is 3.

Answer:I DID IT FROM OFF OF k12 and it was right its 3

Step-by-step explanation:

what is the range of the data set 95,86,78,80,91

Answers

Answer:

17

Step-by-step explanation:

Range = Highest Value - Smallest Value

95 - 78 = 17

Answer:

17

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range.

95 - 78 = 17

math help please it is overdue​

Answers

Answer:

X = 20

Y = 10√3 or 17.32 or 17.3

Steps given below in the image,

I hope my answer helps you.

Answer:

x = 20

y = 17.32

Step-by-step explanation:

[tex]10 = x \cos 60 \degree \\ \\ \implies \: 10 = x \times \frac{1}{2} \\ \\ \implies \: 10 \times 2= x \\ \\ \implies \: \huge{ \boxed{x = 20}} \\ \\ y = 10 \tan \: 60 \degree \\ \\ \implies \: y = 10 \times \sqrt{3} \\ \\\implies \: y = 10 \times 1.732 \\ \\\implies \: \huge{ \boxed{ y = 17.32}}[/tex]

Which probability describes an event that is “very likely”?

A. 0.125
B. 0.9
C. 1
D. 0.50

Answers

The answer is B. 0.9
Explanation:
If you multiply all the choice with 100the results will be
A.12.5%
B.90%
C.100%
D.50
So a situation which is very likely to happen will be 90% ( 100% is not correct because it means that the situation is gonna happen and is accurate but when you say very likely to happen it means there is still a low chance for a situation not to happen)

The probability that describes an event as "very likely" is option B, 0.9.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.

A probability of 0.9 means that there is a 90% chance that the event will occur, which is a high likelihood of the event happening. In general, probabilities between 0.7 and 1 are often considered to be "likely" or "very likely".

Therefore, the correct option is B.

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Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let the total money earned be x

since each of them get equal share, therefore :

[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]

And here, we used Total earning as the variable in the problem ~

So, correct choice is D

Total persons including Mary=4+1=5

Earnings per person =$30

Total earnings

5(30)150$

Option D

please help, will give brainliest for accurate answer or explanation!
A high school basketball coach was searching through records and found that the average height of high school basketball players is 73 inches with a standard deviation of 2.1 inches. The distribution of heights is an approximately normal distribution.

a. The typical basketball team usually has around 16 players. Describe the sampling distribution for samples of size n = 16.

b. Is it surprising to find a random sample of size n = 4 to have an average height over 75 inches? Give appropriate statistical evidence

c. Suppose the population described in the problem was clearly NOT normal. Could the question in part (b) still be answered? Explain why it could still be answered. If not, explain why.​

Answers

Answer:

The heights of basketball players have an approximate normal distribution with mean, μ = 79 inches and a standard deviation, σ = 3.89 inches.

Step-by-step explanation:

Chris invests $5,000 in a savings account that earns 2% interest per year. what would the Eqn be with a(b)^x ​

Answers

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Describing the Graph of a Polynomial Function 2.) Use the function: f(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function. c) Describe the end behavior of the graph.

Answers

Answer:

The end behavoir is no solution

Step-by-step explanation:

The reason for this is because if you solve the graph the graph will show no end point

This image shows the explanation ⬇️

The length of a rectangle is 4/5 of the width. The length of the rectangle is 3/5 meter. Which equation can be used to find w, the width of the rectangle in meters?
A 3/5w = 4/5
B 4/5w = 3/5
C 3/5 + w = 4/5
D 4/5 + w = 3/5

Answers

Answer:

B: 4/5w = 3/5

Step-by-step explanation:

The length of the rectangle is stated as being 4/5 of the w. (4/5 * w)

The length is also stated specifically as being 3/5m so that will equal 4/5w on the other side of the equation.

Bonus:

You could work out the equation as

4/5w = 3/5m

multiply by 5

4w = 3m

divide by 4

w = 0.75m (or 3/4m)

Which of the following is a situation in which an equation CANNOT be solved using the quadratic formula ?

Answers

Answer:

  C. One term has degree 3

Step-by-step explanation:

The quadratic formula is used to find the zeros of degree 2 polynomials. The coefficient of the linear term does not matter, and the coefficient of the x² term may be anything except 0.

If the degree of the polynomial is 3, the quadratic formula does not apply.

Does anybody know this ?

Answers

Answer:

0, 1, 2, 3, 4

Step-by-step explanation:

Multiply each x value by 1/3 then add 2. Since the numerator is 1, you would multipy by one and divide by the denominator of 3, so you really need to divide each x value by 3 then add 2.

-6:

-6/3 = -2

-2 + 2 = 0

-3:

-3/3 = -1

-1 + 2 = 1

0:

0/3 = 0

0 + 2 = 2

3:

3/3 = 1

1 +2 = 3

6:

6/3 = 2

2 + 2 =4

A committee is to consist of two members. If there are seven people available to serve on the committee, how many different committees can be formed?

Answers

3
Though there are seven people, it would only be 3 full committees. They would either find an eighth person or have a group of 3 with one of the committees.
Hope this helps!

A wheel with the 31 in. diameter has 651 rotations. Reflect on how different wheel sizes would change your answer. What would happen to the number of rotations if the circumference of the wheels were increased by 20%? For the wheel with 31 in. diameter, multiply its circumference 97.4 in. by 1.2 =________.

Answers

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.

How to compare rotations between two wheels of different diameter

The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:

[tex]n = \frac{s}{p}[/tex]  

[tex]n = \frac{s}{\pi\cdot D}[/tex]   (1)

Where D is the diameter of the wheel, in inches.

If we know that n = 651 and D = 31 in, then the travelled distance is:

s = (651) · π · (31 in)   (2)

s ≈ 63400.481 in

The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.

By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:

s ≈ 1.2 · π · (31 in)

s ≈ 116.867 in

[tex]n = \frac{63400.481\,in}{116.867\,in}[/tex]

[tex]n = 542.501[/tex]

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. [tex]\blacksquare[/tex]

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I NEED TO FIND THE 2 SIDE LENGTHS

You are building a play pen for your pet pig. You know that you want one side to be 7 feet longer than 3 times the other
side. The area of the play pen that you want is 48 square feet. What are the dimensions of the play pen?

Answers

Check the picture below.

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]

notice, we didn't use the negative value of "L", because the length can't be negative.

solve 650(1+.045) with an exponent of 3

Answers

Answer:

741.75798\dots

Step-by-step explanation:

\mathrm{Add\:the\:numbers:}\:1+0.045=1.045

1.045^3=1.141166125

\mathrm{Multiply\:the\:numbers:}\:650\cdot \:1.141166125=741.75798\dots

Choose the correct definition of volume.

the amount of space a 3-dimensional object takes up

distance from one point to another

the amount of space a 2-dimensional object takes up

the distance from the bottom to the top of an object

Answers

Answer:

the amount of space a 3-dimensional object takes up

Step-by-step explanation:

Of the four definition options, the first is the only only that incorporates a three dimension explanation.  The others only describe a two dimension object.  Units for the first would be unit^3.  The other three would only be one-dimensional "units."

He can Have Brainliest Now!

5.000g rounded to the nearest whole gram

Answers

5.0000 would not change the value because there is 0 in the decimal place value so, the answer is 5

Answer:

5 g hope this helps

A substance requires 310 J of heat to raise the temperature from 19
°C to 42 °C.. If the mass of the substance is 20 g, what is the specific
heat of the substance?

Answers

Answer:

.674  j / (g-C)

Step-by-step explanation:

Spec heat = heat required to raise 1 gram of substance 1 degree celsius

       Spec heat units : j / (gm-C)

soooo     310 j / (20g * (42-19)C  = .674

Pierre has more money than alex.
if Pierre gave Alex £20 they would have the same amount.
if Alex gave Pierre £22, the Pierre would have twice as much as Alex.
How much does each one actually have?

Answers

Answer:

p = 2a-22

a= p-20

these will help you find the actual value

Step-by-step explanation:

this is not for the actual value

pierre = p

alex = a

p = a+20

p-20 = a

p+22 = 2a

p = 2a-22

Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.

Answers

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

What is the tangent of a circle?

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter Line |EA| = radius = 18Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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The center of the circle is located at (-4,-3). What is the area? Use 3.14 as an approximation for pi.

Answers

Answer:

78.5 units²

Step-by-step explanation:

First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.

Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.

⇒ Radius according to graph: 5 units

We can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.

⇒ Area of circle = πr²⇒ Area of circle = π(5)²

Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.

⇒ Area of circle = π × (5)²⇒ Area of circle = π × 5 × 5⇒ Area of circle = π × 25⇒ Area of circle ≈ 3.14 × 25                                                      [π = 3.14]⇒ Area of circle ≈ 78.5 units²

The diameter of a circle is 8 inches. What is the and
with area 24 square inches?

Answers

given:

8 inches

to find:

the area

solution:

If the diameter is 8 inches, the radius is 4 inches.

a= Pi* r^2

= 16 Pi square inches.

pi= 3.14159 16pi

= 15.2655 sq inch

=
In the accompanying diagram of isosceles triangle ABC,
AB = BC, mZBAC = x, and mLABC = x + 30.
What is the value of x?
B
(x + 30)
A
The value of x is
The measure of the vertex angle is
degrees.

Answers

Answer:

x = 50

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

Since triangle ABC is an isosceles triangle the measure of <c is also = x

x + x + x + 30 = 180 add like terms

3x + 30 = 180 subtract 30 from both sides

3x = 150 divide both sides by 3

x = 50

The following pattern has been formed from a circle with a diameter of 6cm that has been broken up into five congruent sectors. Calculate the perimeter of the pattern to four decimal places

Answers

The perimeter of this following pattern is

30.8496cm

Is the quotient of 3 and 1/4 greater than or less than 3?

Answers

Answer:

Greater than

Step-by-step explanation:

The quotient of 3 and 1/4 would be 3/(1/4).

You could then multiply by the inverse of 1/4 to simplify the expression. This would give you [tex]3*\frac{4}{1}[/tex] or just 3 times 4. 3 * 4 = 12.

Since 12 is greater than 3, the quotient of 4 and 1/4 is greater than 3.

LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.

Answers

Answer: 7 cm

Step-by-step explanation:

Ashley arranged the following list of numbers below: 5,2,7,8,2,5,3. Find the mean and median.

Answers

Mean is the average of all numbers

(5+2+7+8+2+5+3)/7

Mean is 4.57

Median is the middle score so we have to arrange all the numbers from lowest to highest

2, 2, 3, 5, 5, 7, 8

Median is 5

Consider the system of equations.

x − 4y = 11,

3x + 5y = −1

Which number should you multiply the first equation by to eliminate the x-variable term?
1
–1
3
–3

Answers

Answer:

-3

Step-by-step explanation:

since if you multiply by -3 the sum of both equations will not have an x variable.

Answer:

D

Step-by-step explanation:

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