6

A girl has $2.85 in nickels and quarters. How many of each type of coin does she have if there

are 21 coins in all? *

(4 Points)

n + 9 = 21 and .05n + .25q = 2.85

n = 12,9 = 9

n = 5,9 = 26

n = 31, 9 = 22

n = 5,9 = 7

Answers

Answer 1

Answer:

n = 12, q = 9

Step-by-step explanation:

The simultaneous equation that represents the expression is;

n + q = 21 .......... 1

0.05n + 0.25q = 2.85 ........ 2

Multiply equation 2 by 100 to have;

5n + 25q = 285

n + 5q = 57

____________________________________

n + 5q = 57

n + q = 21

Substract the resulting equations

5q-q = 57-21

4q = 36

q = 36/4

q = 9

Substitute q = 9 into eqn 1;

From 1; n+q = 21

n = 21-q

n = 21-9

n = 12

Hence she has 12 nickels and 9 quarters


Related Questions

Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate

Answers

Yes,
10 x 5 = 50
4 x 5 = 20
They both have equal multiples.

7. You bought three erasers and a magazine for $6. You spent a total of $18. How much did
each eraser cost?

Answers

Answer:

each eraser cost $4

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

need help on this 1 its really hard but i stilll can get it please help

Answers

Answer:

A.

92%

Step-by-step explanation:

Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd. how much fabric will be left over?
Please help ASAP!!! :(

Answers

Answer:

The fabric left over will be [tex]2\frac{5}{6}[/tex]

Step-by-step explanation:

Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]

Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]

Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]

Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]

Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest

Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]

[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]

So, Total fabric used = [tex]\frac{71}{12}[/tex]

Total Fabric left= Total fabric bought-Total fabric used

Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]

[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]

So, the fabric left over will be [tex]2\frac{5}{6}[/tex]

(((click on the image to see it all))))

I need the answers to number 2 and 4 asap​

Answers

Answer:

2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space

4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...

The science center has 200 people in attendance on Monday. The center expects Saturday's attendance to be 140
percent of Monday's attendance. Natasha is trying to figure put how many people will be in attendance. Her work is
shown below.
part 140
whole 100
140-2 ?
100x2200
140-2-70
70 people will be in attendance.

Answers

Answer:

Natasha should have multiplied 140 by 2

Answer:

A

Step-by-step explanation:

IM DUMB HELP ME WAAAAAAAAA

Answers

Answer:

Sales tax (6.5% of Subtotal) would be

The total amount comes out to

Step-by-step explanation:

The first step is to add the sales tax percentage to the gratuity percentage. In this example, that would equal 24.5%. Next, we must divide the sum of the sales tax percent and the gratuity percent by 100 to convert to a decimal. So, 24.5% divided by 500 comes out to 0.245. Then, multiply the result by the amount of the bill to find what the sales tax and gratuity add to the bill. However, we do not have the bill amount given, so we must figure that out. In order to do this,

A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. Roughly what proportion of cars are driving between 60 and 70 mi/hr? Round to the nearest thousandth) Group of answer choices

Answers

Answer:

Approximately [tex]0.157[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the speed of a car. The question is asking for [tex]P(60 \le X \le 70)[/tex].

That probability is equal to [tex]P(X \le 70)- P(X \le 60)[/tex].

Find each of [tex]P(X \le 60)[/tex] and [tex]P(X \le 70)[/tex] using a [tex]Z[/tex]-table.

Calculate the [tex]Z[/tex] value for [tex]x = 70[/tex] and [tex]x = 60[/tex]:

At [tex]x = 70[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{60 - 55}{5} = 3[/tex].

At [tex]x = 60[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{70 - 55}{5} = 1[/tex].

In other words: [tex]P(X \le 70) = P(Z \le 3)[/tex] whereas [tex]P(X \le 60) = P(Z \le 1)[/tex].

Look up [tex]P(Z \le 3)[/tex] and [tex]P(Z \le 1)[/tex] on a [tex]Z[/tex]-table. The question is asking that the answer be rounded to the nearest thousandth. Therefore, keep at least more decimal places than that in intermediate values.

[tex]P(Z \le 3) \approx 0.9987[/tex] and [tex]P(Z \le 1) \approx 0.8413[/tex].

Therefore:

[tex]\begin{aligned}P(60 \le X \le 70) &= P(X \le 70)- P(X \le 60) \\ &= P(Z \le 3) - P(Z \le 1) \approx 0.157\end{aligned}[/tex].

Solve the equation and describe what your answer. What happens? 5x-7=2x+1+3x

Answers

You combined like terms

Answer: The Answer is 0

Step-by-step explanation:

The key here is combining like terms. Here:

1) 5x-7=2x+1+3x

2) 5x-7=5x+1

Then you add 7 to both sides anywhere that there is no variable. You also subtract 5x to the other 5x

3) 0x=8

When you divide by zero on both sides, your answer should be 0

Please help I’m stuck on this question

Answers

Answer:

C. a => c

Step-by-step explanation:

       a                          b                           c                a => b          a => c (not C)

       0                          0                        0                    

       0                           0                        1                    

       0                          1                         0                    

        0                           1                         1                                          

        1                         0                          0                     F                  F

         1                        0                          1                      F                  

         1                        1                           0                                         F

          1                       1                          1

¬a                          b                           c                a => b          ¬a => c (not B)

       1                          0                        0                  F                  F

       1                           0                        1                  F  

       1                          1                         0                                       F

        1                           1                         1                                          

        0                         0                          0                                      

        0                        0                          1                                        

         0                        1                           0                                        

          0                       1                          1

a                          b                           c                a => b          c => a (not D)

       0                          0                        0                                        

       0                           0                        1                                            F

       0                          1                         0                    

        0                           1                         1                                           F

        1                         0                          0                     F                  

         1                        0                          1                      F                  

         1                        1                           0                                        

          1                       1                          1

¬a                          b                           ¬c                a => b          ¬a => ¬c

       1                          0                        1                                          

       1                           0                        0                                         F

       1                          1                         1                                      

        1                           1                         0                                        F

        0                         0                          1                 F                      

        0                        0                          0                 F                      

         0                        1                           1                                        

          0                       1                          0

answer: everything is false lol

What is the ones digit of 5120 + 2301 + 456?

Answers

Answer:

7

Step-by-step explanation:

Easier than you think. You do not have to add the numbers together to find your answer. You can just add 0+1+6, and you will get 7.

Answer:

7

Step-by-step explanation:

5120+2301=7421

7421+456=7877

Last # is 7

How much would $700 invested at 3% interest compounded annually be worth after 10 years

Answers

Answer: $940.74

Step-by-step explanation: Use the Calculator provided on money chimp or you can look up the formula. I like using the calculator

I will give branliest to the first person to answer!
Simplify the following expressions
Please include the work its greatly appriciated!
1. 8x - 5 + 2x
2. 2.5w - 3y + 4w
3. 3(5 - 2n) + 9n
4. 5/7x + 15 = 9/14x - 9

Answers

Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

Answer this please thanks

Answers

Answer:

No

Step-by-step explanation:

The first 3 boxes are proportional since they have a ratio of 1:3, but 6:21 is not proportional to the others.

Answer:

No it is not proportional.

Step-by-step explanation:

This is not proportional because

2 times 3 = 6

4 times 3 = 12

8 times 3 =  24

but,

6 times 3 = 18 not 21 so it is not proportional.

Hope this helped! Ask me any questions if needed!

con las medidas de los lados 8cm , 9cm ,2cm se existe un triángulo ?

Answers

Answer:

si

Step-by-step explanation:

la longitud mayor es menor que la suma de las otras 2 longitudes que es 10

In circle K with \text{m} \angle JKL= 138^{\circ}m∠JKL=138

, find the angle measure of minor arc \stackrel{\Large \frown}{JL}.
JL

.

Answers

^ what they saidddddddddddddddddd

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)

Answers

Answer:

x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...

x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More

The probability of a person being left-handed is about 11%. Suppose you interview 500 people. About how many people would you expect to be left-handed? Group te?

Answers

Answer:

78

Step-by-step explanation:

Hi

There is  5 *100  people  and  so  11 every 100 is  left handed so  within 500 people  there is  5*11 people  left handed  =  55

you can also do  500 * 11/100 = 55

(1, -7) slope = -1 writing linear equations given point and slope

Answers

Answer:

The answer is

[tex] \huge y = - x - 6[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]

We have the final answer as

[tex]y = - x - 6[/tex]

Hope this helps you

Selecting which is the digit six is 10 times the value of the digit six in 3.161

Answers

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

what is the missing value in the table below? ​

Answers

60 minutes in 1 hour
3 * 60 = 180

The missing number in the given table is 180 minutes.

To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.

First, we multiply both sides of the equation by 120

(2/120) * 120 = (3/x) * 120

To simplify, we have:

2 = 3 * (120/x)

2/3 = (120/x)

To solve for x, we can multiply both sides of the equation by x:

(x) * (2/3) = (120/x) * (x)

2x/3 = 120

To isolate x, we can multiply both sides of the equation by 3/2:

(2x/3) * (3/2) = 120 * (3/2)

x = 180

Therefore, the value of x in the equation 2/120 = 3/x is x = 180.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

41 divide by 278.8 hi my name chavoria

Answers

If you divide 41 by 278.8 it equals 0.147058823529412


I believe u might of meant 278.8 divided by 41 which equals 6.8

Celeste wants to have her hair cut and
permed and also go to lunch. She knows
she will need $95. The perm costs twice
as much as her haircut and she needs $5
for lunch.
How much does the perm cost?

Answers

Answer:

the perm will cost $60

Step-by-step explanation:

take away $5 from the total because Its a set amount that's already known

which leaves 90 which if you  take 30 away you are left with 60 its twice the amount of the haircut, I didn't really do any math techniques so I'm sorry that my explanation is weird, I hope this helped

Ellen borrowed some money from her brother. She paid him back by giving him the same amount every week.The graph shows how much DO after each week.

A. 18 weeks
B.6 weeks
C.12 weeks
D. She will never pay it back

Answers

18 weeks will have to be do after each week
It’s 6 weeks

I’m 100% sure!

Miguel is designing shipping boxes that are rectangular prisms. One shape of the box with height h in feet, has a volume defined by the function V(h)=h(h-10(h-8). What is the height that would produce the maximum volume for the domain 0

Answers

Answer: 105ft^3

Step-by-step explanation:

Answer:

[tex]105ft^{3}[/tex]

Step-by-step explanation:

V(h) = h(–h + 10)(–h + 8)

Apply the distributive property to the right side and simplify.

V(h) = h(–h + 10)(–h + 8)

V(h) = {h(-h) + h(10)}(-h+8)

V(h) = (-h²+10h)(-h+8)

V(h) = (-h²)(-h) + (-h²)(8) + (10h)(-h) + (10h)(8)

V(h) = -8h² -10h² + 80h

V(h) =  -18h² + 80h

Plug in the value of h from 1 to 9 (since 0<h<10) into the function V(h)   =  -18h² + 80h and create a table

h | V(h)

1  | 63

2 | 96

3 | 105 <------maximum volume is the highest y-value

4 | 96

5 | 75

6 | 48

7 | 21

8 | 0

9 | -9

The maximum volume for the domain 0<h<10 is 105 cubic feet.

Point A is at (3, - 8) and point B is at (7, 3)

What is the midpoint of line segment overline AB ?

Please help

Answers

I think it’s (4,-5) but I’m not sure


[tex](a) { - (b)}^{2} [/tex]

Answers

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

Please help asap
What is 3/5 simplified

Answers

Answer: Its already in its simple form

Step-by-step explanation:

uhh .6? or is it a different kind of question

Andre filled 4 jars using a total of 10 cups of blackberry jam how many did cups of jam is in each jar

Answers

Answer:

2.5 cups in each jar

Step-by-step explanation:

10/4 is 2.5

Please help I’m stuck on this question

Answers

the answer is b. the rest is so it can be enough charecters so i can post this answer

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