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Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

[tex]0.25x+0.1(27-x)=5.55[/tex]

So, we will determine the value of x, the amount of quarters there are.  

First, let’s multiply everything by 100 to remove the decimals. So:

[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]

Distribute:

[tex]25x+10(27-x)=555[/tex]

Distribute:

[tex]25x+270-10x=555[/tex]

Combine like terms:

[tex]15x+270=555[/tex]

Subtract 270 from both sides:

[tex]15x=285[/tex]

Divide both sides by 15:

[tex]x=19[/tex]

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

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Answer:

Step-by-step explanation:

When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.

Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.

The total value (in cents) is ...

  25q +10(27 -q) = 555

  15q +270 = 555 . . . . . . . collect terms

  15q = 285 . . . . . . . . . subtract 270

  q = 19 . . . . . . . . divide by 15

  27 -19 = 8 . . . . . the number of dimes

There are 19 quarters and 8 dimes.

_____

Check

19 quarters have a value of 19×$0.25 = $4.75

8 dimes have a value of 8×$0.10 = $0.80

Then the total value of the 27 coins is $4.75 +0.80 = $5.55

_____

Additional comment

This is equivalent to working the problem by substitution where you write two equations ...

Then solve for d and substitute, leaving the variable q.

  d = 27 -q

  10(27-q) +25q = 555 . . . . the equation we wrote above

Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.

You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.

Answer:

Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.

Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:

150 + 10t = 25t

150 = 25t - 10t

150 = 15t

150/15 = t

10 = t

Therefore, in 10 weeks they will both have the same amount:

Roshaun: 150 + 10(10)--->150 + 100 = $250

Keegan; 25(10) = $250

Hope this helps!

Step-by-step explanation:

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Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

Answer:

There are 16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

OR

12 x 8 = 96

96/6=16

Answer:

16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

Answer:

9, 11 , 13

Step-by-step explanation:

Find the average of 7 and 15, that is

[tex]\frac{7+15}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11

We now have 7, 11, 15

Now find the average of 7 and 11, 11 and 15

[tex]\frac{7+11}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

[tex]\frac{11+15}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13

Thus the 3 arithmetic means between 7 and 15 are

9, 11, 13

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

Answer: Interval Notation:

(– ∞,–1) ∪ (–8, ∞) Set-Builder Notation:

{x | x ≠–1}, but I don’t know to the Question #2. (III), sorry. :(

Step-by-step explanation: Set up the composite function and evaluate, then find the domain of the result. (Neither)

Answer:

120°

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.

Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

[tex] \therefore x = m\angle ADC\\\\

\therefore x = 120\degree [/tex]

Answer:

So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-a-b²+3ab

-(-1)-5²+3(-1×5)

+1-25-3+25

-24-3+15

-27+15

=-12

Answer: 3

Step-by-step explanation:

-15- -45= 30

30/10=3

Answer:

The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.

Step-by-step explanation:

The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.

Given that,
To compare the function shown in the graph with y =7x -10.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.

Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.

learn more about function here:

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Answer:

B. (6,-3)

Step-by-step explanation:

3x - 5y ≥ 10

(1,4) IS NOT a solution to the equation

3(1) - 5(4) ≥ 10

3 - 20 ≥ 10

- 17 ≥ 10

3x - 5y ≥ 10

(6,-3) IS a solution to the equation

3(6) - 5(-3) ≥ 10

18 + 15 ≥ 10

33 ≥ 10

3x - 5y ≥ 10

(-5,-2) IS NOT a solution

3(-5) - 5(-2) ≥ 10

-15 + 10 ≥ 10

-5 ≥ 10

3x - 5y ≥ 10

(2,0) IS NOT solution

3x - 5y ≥ 10

3(2) - 5(0) ≥ 10

6 - 0 ≥ 10

6 ≥ 10

Answer:

Their is a different question in the pic then the writing?

Answer:

The constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

Step-by-step explanation:

The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.

We know the equation

[tex]y=kx[/tex]

where k is the constant of proportionality.

Looking at the graph,

at x=7, the value of y=42

so the ratio of y/x = 42/7 = 6

at x=14, the value of y=84

so the ratio of y/x = 84/14 = 6

at x=21, the value of y=126

so the ratio of y/x = 126/21 = 6

at x=28, the value of y=168

so the ratio of y/x = 168/28 = 6

We observe that the ratio of y/x remains constant which y/x=6

so using the equation

[tex]y=kx[/tex]

take any point let say (7, 42)

42 = k(7)

42/7=k

6 = k

Therefore, the constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]

Answer:

it is the same as 1350/1

Step-by-step explanation:

so it is being divided by 1, which means it is the same thing.

Answer:

Step-by-step explanation:

1350/1. any whole number you place over 1.

Answer:

[tex]210 staples[/tex]

Step-by-step explanation:

Lets solve this equation:

[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]

Combine terms:

[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]

[tex]x=315*\frac{2}{3}[/tex]

[tex]x=210[/tex]

So a full strip contains 210 staples.

Hope this helps :D please hit the crown

Answer:

its actually hard

Step-by-step explanation:

it is hard OMG

Answer:

∠ EDF =104°

Step-by-step explanation:

The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is

∠ EDF = [tex]\frac{1}{2}[/tex] (arc EF + arc GU )

           = [tex]\frac{1}{2}[/tex] (147 + 61)°

           = [tex]\frac{1}{2}[/tex] × 208°

           = 104°

Answer: The answer would be four.

Answer:

i believe its the rise and the run of the slope.

Step-by-step explanation:

i believe its something similar to this photo

Answer:

The trials are not independent, so

X is not a binomial variable.

Step-by-step explanation:

The variable X is not a binomial variable. The reason for this is X is not independent.

A binomial variable is a variable that determines the frequency that an event would happen  in a fixed number of trials.  

The conditions for a binomial variable include:

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Answer: 3

Step-by-step explanation:

I just finished the test and this was the answer I put and it was right.

9x+6y=b

6y=b-9x

y=b/6 -9/6x

y=b/6-3x/2

y= -3x/2 +b/6

3x + 2y = 1

2y = 1 - 3x

y = 1/2 -3/2x

y = -3/2x + 1/2

b/6=1/2

b=3

Answer:

Step-by-step explanation:

Answer:

Hh

Step-by-step explanation:

Using the appropriate arithmetic operations, the amount of change Travis is entitled to is :$6.50

Total cost of paper back books :

Total cost of hardcover books :

Total cost = $7.50 + $6.00 = $13.50

Change = $20 - $13.50 = $6.50

Therefore, Travis will get a change of $6.50

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