Miguel has a total of 27 dimes and nickels. The total value of the coins is $1.80. How many dimes and nickels does he have?

Answers

Answer 1

Answer:

There are 9 dimes and 18 nickels.

Step-by-step explanation:

Let d = be the number of dimes

 

     n = be the number of nickels

 

 

    d + n = 27...eq.1

 

   0.10d + 0.05n = 1.80...eq.2

 

Solve the system of equations

 

   d + n = 27

 

10d + 5n = 180  ( multiply eq.2 by 100 )

 

 -5d - 5n = -135

 

      5d = 45

 

       

        d = 9 , there are 9 dimes so,0.90

 

        n = 27 - 9 = 18,   there are 18 nickels so, 0.90

 

To check:   9 dimes + 18 nickels = 27 coins

 

                0.90 + 0.90 = $ 1.80 total value of the coins


Related Questions

help please!!!!!!
Solve by graphing

Answers

Answer:

picture of graph filled in is attached.

Answer:

The lines do NOT intercept, then there is NO SOLUTION to the system

Step-by-step explanation:

Notice that the two lines given have the SAME slope (-3/2) and different y-intercepts. Therefore, when we graph them we are going to obtain two parallel lines (lines of the SAME slope) crossing the y-axis at different points.

We use for the first line two points like: (0, -1) and (2, -4)

and for the second line, the points (0, 3) and (2, 0)

The lines are plotted in the attached image.

please help me 10 points​

Answers

Answer:B

Step-by-step explanation:

How many quarts are in 3.75% of 20 gallons?

Answers

Answer:

3 quarts

Step-by-step explanation:

Answer:

There are 3 US Quarts in 3.75% of 20 gallons.

24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5​

Answers

Answer:

ŷ = 0.1197X + 9.2741

11.9 seconds

Step-by-step explanation:

Given the data:

Average number of leg press Repetition and average 40 yard dash line

Leg press rep (x) : 12 32 7 26 28 15 1

40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

Using the linear regression calculator :

The equation of the line of best fit obtained is :

y = 0.1197X + 9.2741

Where;

x = leg press (predictor variable)

y = 40 yard dash (predicted variable)

Slope = 0.1197

Intercept = 9.2741

How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

22 leg press Repetitions = x

From the line of best fit equation :

y = 0.1197(22) + 9.2741

y = 11.9075

y = 11.9 seconds

The lines of best fit is the trend line of the dataset.

The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds

(a) The equation of the line of best fit

The table is given as:

(x) : 12 32 7 26 28 15 1

(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

To determine the equation of line of best fit, we make use of a regression calculator.

Enter the above dataset in a regression calculator, the equation is:

[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places

(b) The number of seconds for 22 leg-press reps

This means that x = 22.

So, we have:

[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]

[tex]\mathbf{y =2.64 + 9.274}[/tex]

[tex]\mathbf{y =11.914}[/tex]

Approximate to the nearest tenth

[tex]\mathbf{y =11.9}[/tex]

Hence, the time for 22 leg-press reps is 11.9 seconds

Read more about linear regressions at:

https://brainly.com/question/18405415

Estimate the total number of hairs on your head. To calculate your estimate, you must make assumptions
1. Assume head spherical and 50% covered with hair.
2. Assume a radius of 5 inches.
3. Assume 150 hairs per
A)
100,000 hairs
B)
250,000 hairs
500,000 hairs
D)
1,000,000 hairs

Answers

Answer: A 100,000 hairs

Step-by-step explanation:

191.0
Find the number with the given prime factorization.
23. 2 X 2 X 5 X 7 X 11

Answers

Answer: 1540

Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.

The answers is 1,540

Toy stored 945 points playing 3 games of pinball. He scored
312 points in the first game and 356 points in the second game.
towary points did Troy score in the third game?
Show your work
Will
ten
estir

Answers

Answer:

178

Step-by-step explanation:

y = 1/8 x+3
A) Slope: 8; y-intercept: 3
B) Slope: 1/3; y-intercept: 1/8
C) Slope: 1; y-intercept: 1/8
D) Slope: 1/8; y-intercept: 3​

Answers

Answer:

Its D

Step-by-step explanation:

Slope intercept form is y=MX +B

if you plug it in, it would be y=1/8x+3 meaning 1/8 is the slope (m) and 3 is the y intercept (b)

Can you help me with this thanks

Answers

Answer:

no

Step-by-step explanation:

What percent is equivalent to 2/3

66 1/3

66 3/5

66 2/3

66 7/10

Answers

Answer:

66 2/3

Step-by-step explanation:

(2/3)(100) = 66 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]

[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]

[tex]\mathbf{\dfrac{2}{3}}[/tex]

[tex]\mathbf{= 2\div3}[/tex]

[tex]\mathbf{= 0.66666667}[/tex]

[tex]\mathbf{= 0.66666667 \times 100}[/tex]

[tex]\mathbf{= 66.6666667\%}[/tex]

[tex]\mathbf{\approx 66.67\%}[/tex]

[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\mathbf{66 \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]

[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]

[tex]\mathbf{= \dfrac{199}{3}}[/tex]

[tex]\mathbf{= 199\div3}[/tex]

[tex]\mathbf{= 66.3333333}[/tex]

[tex]\mathbf{= 66.3333333 \times100}[/tex]

[tex]\mathbf{= 6,633.33333\%}[/tex]

[tex]\mathbf{\approx 6,633.33\%}[/tex]

[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\mathbf{66 \dfrac{3}{5}}[/tex]

[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]

[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]

[tex]\mathbf{= \dfrac{333}{5}}[/tex]

[tex]\mathbf{= 333\div5}[/tex]

[tex]\mathbf{= 66.6}[/tex]

[tex]\mathbf{= 66.6 \times 100}[/tex]

[tex]\mathbf{= 6,660}[/tex]

[tex]\mathbf{\approx 6,660\%}[/tex]

[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\mathbf{66 \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]

[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]

[tex]\mathbf{= \dfrac{200}{3}}[/tex]

[tex]\mathbf{= 200\div3}[/tex]

[tex]\mathbf{= 66.6666667}[/tex]

[tex]\mathbf{= 66.6666667\times100}[/tex]

[tex]\mathbf{= 6,666.66667}[/tex]

[tex]\mathbf{\approx 6,666.67\%}[/tex]

[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\mathbf{66\dfrac{7}{10}}[/tex]

[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]

[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]

[tex]\mathbf{= \dfrac{667}{10}}[/tex]

[tex]\mathbf{= 667\div10}[/tex]

[tex]\mathbf{= 6.67}[/tex]

[tex]\mathbf{= 6.67\times100}[/tex]

[tex]\mathbf{= 6,670}[/tex]

[tex]\mathbf{\approx 6,670\%}[/tex]

[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]

[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]

[tex]\huge\textbf{The closest answer was:}[/tex]

[tex]\mathbf{66 \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

AA
vle.mathswatch.co.uk
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Question Progress
Homework Progress
6/43
a)
Write down, in figures, the number forty one thousand and ninety six.

Answers

Answer:

41096

Step-by-step explanation:

how to determine which triangle is similar

Answers

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Help me please
Question: Write a brief paragraph comparing and contrasting a rectangle and rectangular prism.

Answers

Answer:

First of all, rectangles and rectangular prisms have one foremost difference, which is their dimensions. A rectangle has two dimensions whilst a rectangular prism has three. Those dimensions include width, length, and height- but a rectangle has only width and length. Although, in comparison, they're both made from the same quadrilateral: rectangles. A "2D" rectangle has one, while a "3D" rectangle, or rectangular prism, is made of six. The rectangles that make up a rectangular prism can also be referred to as faces.

Write 1/8% as a decimal

Answers

Answer:

0.125

Step-by-step explanation:

Answer:  .125

Hope this helps!

what is the best thing to wtch on peacock

Answers

Answer:

Ride Along, Identity thief, Parenthood  or Bullet Proof

Step-by-step explanation:

The school that Mike goes to is selling tickets to a play. On the first day of ticket sales the school sold 11 senior citizen tickets and 2 student tickets for a total of $41. The school took in $51 on the second day by selling 13 senior citizen tickets and 3 student tickets. What is the price each of one senior citizen ticket and one student ticket

Answers

Answer:

$3 for seinor citizen and $4 for student

Step-by-step explanation:

The price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The school that Mike goes to is selling tickets to a play.

Let x be the price each of senior citizen ticket and y is the price of one student ticket

The equation can be framed as:

11x + 2y = 41

13x + 3y = 51

After solving the linear equation by substitution method:

x = 3

y = 4

Thus, the price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

The cost of 5 scarves is $63.75. What is the unit price?

Answers

Unit price = total price / total quantity

Unit price = 63.75 / 5

Unit price = $12.75

The unit price is 12.75 you take the number all the scarves cost (63.75) and divide it by the number of scarves (5) so 63.75/5= 12.75

Thomas decides on a destination for his vacation. If he takes the train there, it will take him 1/8 hours to get there. If he takes the plane, it will take him 2/3 hours. How many hours does the plane save?

Answers

Answer:

The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.

Step-by-step explanation:

To calculate the number of hours that the plane saves, you must make the difference between the number of hours that must travel by train and the hours that must travel by plane. This is:

[tex]5\frac{1}{8} - 2\frac{2}{3}[/tex]

A mixed fraction is the combination of a whole number and a fraction, as in this case. To subtract mixed numbers, one way to do it is, firstly, to convert both fractions into improper fractions, remembering that the procedure for this consists of multiplying the whole number by the denominator of the fraction, to which the numbered one must be added. of the fraction. This number will be the numerator of the new fraction.

In this case:

[tex]5\frac{1}{8}=\frac{5*8+1}{8} =\frac{41}{8}[/tex]

[tex]2\frac{2}{3}=\frac{2*3+2}{3} =\frac{8}{3}[/tex]

Then:

[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}[/tex]

Fractions have different denominators, so you need to find a common denominator in order to do the subtraction. A common denominator can be found by multiplying both denominators.  Then you rewrite each fraction as an equivalent fraction with a denominator that is the common denominator. Finally you subtract the numerators and simplify the answer if necessary.

In this case:

[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}= \frac{123}{24} -\frac{64}{24} =\frac{123-64}{24} =\frac{59}{24}[/tex]

Now you write the answer as a mixed number. For that you divide 59 by 24 to obtain 2 with a remainder of 11, being able to express the number as:

[tex]\frac{59}{24} =2\frac{11}{24}[/tex]

So:

[tex]5\frac{1}{8} - 2\frac{2}{3}=2\frac{11}{24}[/tex]

The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.

I am trying to understand how to solve for X, then solve the equation

Answers

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

Solve. Write the fraction in simplest form.
8
Mr. and Mrs. Smith have a home equity loan of $24,000. They have paid off of the
20
loan. How much of the loan have they paid off?

Answers

Answer:

Step-by-step explanation:

Equity loan amount = $24,000.

percentage paid off  = 20%

Required

The amount paid off

The amount paid off = 20% of the loan amount

Amount paid off = 20/100 * 24000

Amount paid off = 0.2 * 24000

Amount paid off = 4800

Hence the amount of the loan paid off is $4,800

3 pound pork lion can be cut into 10 pork shots of equal weight how many ounces in each pork shop

Answers

4.8 ounces in each. Hope this helps!

Answer:caca

Step-by-step explanation:

poop

Reduce 18/45 to the simplest form.

Answers

Answer: 2/5

Step-by-step explanation:

Divide the numbers by 9 which is the common multiple

18/9 = 2

45/9 = 5

2/5

PLEASE HELP ME I NEED SO MUCH HELP

Answers

Answer:

brainlist first

Step-by-step explanation:

Answer:

12)fx is the answer

Step-by-step explanation:

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
A. 2 hours
B. 3 hours
C. 20 hours
D. 30 hours

Answers

The answer is B. 3 hours

Will put brainliest
What is the point of intersection for the lines y – x = 0 and 3x + 5y = 15?

Answers

Y will equal 3 because 5x3 is 15 and 0x3 is 0 so 15+0=15

2.35 to 2.82 by what percent did the price for gas increase over that week

Answers

Answer:

2.82 - 2.35 = 0.47 =  about 17%

Step-by-step explanation:

17% of 2.82 = 0.4794

16% of 2.82 = 0.4512

PLEASE HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D PLS ANSWER I AM SOOOOOO CONFUSED!

Answers

Answer/Step-by-step explanation:

7. The graph is a proportional relationship because the line passes through the point of origin, (0, 0). To find the equation the proportional relationship the graph represents, we need to find the unit rate of red paint (y) to white paint (x). The unit rate will represent the constant of proportionality, k. Then substitute the value of k in [tex] y = kx [/tex].

Unit rate or k = y/x

Using the point, (4, 1),

k = [tex] \frac{1}{4} [/tex]

Substitute k = ¼ in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = \frac{1}{4}x [/tex]

8. The graph Franco made is incorrect.

The equation, [tex] y = -x [/tex], shows a negative constant of proportionality of -1. Therefore, the slope of the line descend downwards, from the left to the right. So, the graph Franco made to represent the equation, [tex] y = -x [/tex] is not correct.

9. a. Proportional relationship can be represented as [tex] y = kx [/tex]. To derive an equation that represents the graph, find k, the constant of proportionality between variable y and x.

Using the point, (2, 24), therefore:

k = y/x = 24/2 = 12.

Substitute k = 12 in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = 12x [/tex]

b. We know an equation is represents a proportional relationship, when it is tales the form, [tex] y = kx [/tex]. Where k is the constant of proportionality. Thus, for if you substitute the pair of values given (x, y) into the equation, you would get the same value of k for any pair of value you substitute in the given set of values.

Also, we know a graph represents a proportional relationship when a straight line passes through the point of origin, (0, 0), and has a constant of proportionality or unit rate all through.

Activity: Which Tour Is It?
Instructions: Read the examples of tours below. Use the space provided to answer
each question.
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?

Answers

Answer:

Step-by-step explanation:

hi im new im not sure what to do but yea

Please help
Picture inserted
Multiple choice
Will appreciate if u help

Answers

Answer:

Uhm I can not see the pic sorry :c

Step-by-step explanation:

The picture is black I can’t see

Jenn kept track of the amount of time she spent on homework for each subject. Which subject did she spend the least time on?

Answers

Answer:

all you have to do is change them all to the same denominator then get your answer

Step-by-step explanation:

Answer:

social studies

Step-by-step explanation:

I did the math

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