PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value is $5.55, how many quarters and how many dimes are there?

I WILL MARK BRAINLIEST!!!!!!

Answers

Answer 1

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.

Answer 2

9514 1404 393

Answer:

19 quarters8 dimes

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 ...

d + q = 2710d +25q = 555

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'.

PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A Bag Contains 27 Coins, All Of Which Are Either Quarters Or

Related Questions

Write an
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Answers

Answer:  f(x) = 2x - 3

===================================================

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

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The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

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According to my examination I have confirmed that I do NOT repeat do NOT know this. Good luck!

21 divided 3/8

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Answers

Answer:

56

Step-by-step explanation:

What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 1/5x^2 +12?
O A. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
O B. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
C. The graph of f(x) is vertically compressed by a factor of 5 and
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O D. The graph of f(x) is vertically compressed by a factor of 5 and
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PREVIOUS

Answers

The answer is A. when you compress horizontally you take it by a factor of 1/a. in this case a=5. 12 is your k value and k decides whether or not you shift up or down, because k is positive or is upward by 12

As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.

What is the transformation of a graph?

"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 5 and b = 12.

Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².

Again,  if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.

Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.

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Which function is a linear function ?

Answers

Answer:

the answer is E. hope this helps

Step-by-step explanation:

Lan is instructed to draw a rectangle with an area of 450 square centimeters.
Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the
rectangle.

Answers

Answer:

xy = 450

Step-by-step explanation:

The relationship will be xy=450.

What is the Area?

The area defines the extent of the region in which we are working.

How to solve it?

As we know,

The area of a rectangle is given by xy=A

Where x, and y are the sides and A is the area.

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Answers

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

If the profit of Tk.x in 4 years at the rate of x% is Tk.x, then what is the value of x?

Answers

Answer:

x = 25

Step-by-step explanation:

Given:

Amount invest p = Tk.x

Number of year t = 4

Rate r = x%

Profit = Tk.x

Find:

Value of x

Computation:

Profit = prt / 100

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Answer:

7 pieces

Step-by-step explanation:

21 yards have 63/3 of rope

2 2/3 yards are 8/3 yards

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Answers

Answer:

P=$-303,424

Step-by-step explanation:

given data

fixed cost= $14,000

variable cost function

[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]

revenue function

[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]

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[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]

substitute x=2600

[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]

[tex]P=-135200+390000-(1400+17576-67600)[/tex]

[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]

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so whats the question to me its feels like your tell us

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Answers

Step-by-step explanation:

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Answers

Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to

2) Graph the system of inequalities

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Answers

Translate this to english

Por favor ayúdame, no puedo tener constante y> -2x + 1

y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro

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Answers

Answer:

65

Step-by-step explanation:

Convert .80 to percent

Answers

80%

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Answer:

80%

Step-by-step explanation:

you just move the decimal over twice have a great day

Determine the solution for x^2-3x-28=\> 0

Answers

Answer: x = -4 or x = 7

Step-by-step explanation:

x^2 - 3x - 28 =/>

(factor)

(x^2 + 4)(x-7) = 0

x + 4 = 0 or x - 7 = 0

(subtract -4 from 0 and 7 from 0)

x = -4 or x =7

Answer:

(infinity, -4] or [7, infinity).

Step-by-step explanation:

right on edge

Is BAK ~ JOL? Explain your reasoning.

Answers

Answer:

Since the ratios are not equal the triangles are not similar

Step-by-step explanation:

Triangle Similarity

For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.

Triangle BAK has side lengths: BA=60, AK=38, and KB=36

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Calculating the ratios of the corresponding side lengths:

BA/JO=60/50=1.2

AK/OL=38/28=1.36

KB/LJ=36/26=1.38

Since the ratios are not equal the triangles are not similar

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Answers

Answer/Step-by-step explanation:

10 is between the perfect squares of 9(3) and 16(4).

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Can someone help me solve this equation? x2 + x - 30 = 0

Answers

X=28 this is the answer, it should be correct

Answer:

x = 10

Step-by-step explanation:

x x 2 + x - 30 = 0          use the commutative property to reorder the terms

2x + x - 30 = 0             collect like terms

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Answers

Since the sides are not equal in length. The triangle are not congruent

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Answers

Answer:

y = 4/3x - 6

Step-by-step explanation:

The slope of the 1st line is -3/4

So for the perpendicular line it has to be the exact opposite.

That looks like this ---> 4/3x

And the y-intercept is -6 because if you make a straight line where the x intercept is it matches.

The equation would look like this

y = 4/3x - 6

Hope this helps! Have a blessed day!

In the figure, m<2 = 44. What is the measure of <1?

Answers

Answer:

m∠1 = 112°

Step-by-step explanation:

To solve for m∠1, we need to find the supplementary angle and subtract from 180°.  We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.

Therefore m∠2 + x + x = 180; combine x's

m∠2 + 2x = 180; substitute m∠2 = 44°

44 + 2x = 180; subtract 44 from both sides

2x = 136; divide by 2

x = 68°

Therefore using the supplementary angle

x + m∠1 = 180 (because it is supplementary)

68 + m∠1 = 180; subtract 68 from both sides

m∠1 = 112°

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Answers

Answer:

#5 x=8, #6 x=5

Step-by-step explanation:

Theyre vertical so for number 5 you would have the equation

5x+15=55

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5x=40

divide by 5 from both sides and you get

x=8

Same thing vertical so you would have  

16x+7=87

    -7    -7 from both sides

16x=80

divide by 16 from both sides

x=5

6
Samir goes to a farmers market to buy some fruit.
He fills a large bag with 29kg of apples.
He realises that he cannot carry this weight, so puts some of the apples into a smaller bag.
The weight of the apples in the large bag is 15kg larger than the smaller bag.
(a) What is the weight of the smaller bag?​

Answers

Answer:

Weight of Smaller Bag = 7kg

Weight of Larger Bag = 22kg

Step-by-step explanation:

x = weight of smaller bag

x + (x + 15) = 29

2x + 15 =29

2x = 14

x = 7

C:

D:

E:

F:

G:

H:



3 a) If the first coordinate in an ordered pair is 0, where does the point lie?


3 b) If the second coordinate in an ordered pair is 0, where does the point lie?












8. How far does Cal live from Mel?


9. How far does Mia live from Amy?


10. How far apart do Amy and Cal live?



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Answers

Answer:

its in progress so tell ur teacher.

Step-by-step explanation:

HELP HAVING A BAD DAY

Anna is x years old and her sister, Jane, is y years younger.
How old was Anna when her sister was born?

Answers

Answer:   x-y   years old

========================================================

Explanation:

Let's use numbers in place of the variables

Let's say Anna is 25 years old and her sister Jane is 5 years younger.

This means Anna was 25-5 = 20 years old when Jane was born.

-------------------------

As another example:

Anna = 37 years old

Jane = 10 years younger

Anna was 37-10 = 27 when her sister was born

--------------------------

The examples show that all we do is subtract the x and y values to figure out how old Anna was when her sister was born.

For the first example, we basically did x-y = 25-5 = 20

The second example was x-y = 37-10 = 27

A variable is placeholder for a number. Think of it as a box where a single number will go inside.

Answer:

0+y

Step-by-step explanation:

When Jane was born, Anna was y years old because Jane was 0 years old. That is why the Answer if y or 0+y. But I think the 0+y is more accurate.

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Answers

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

The members of a crew team can weigh no more than 165 pounds each. Write an inequality for the acceptable weights. Graph the solutions.

Answers

Answer: it would be 100 plus 65 = 165 hope this helped

Step-by-step explanation:

The wait times for two different rides are shown in the table. If there is a minute wait time how many people are in line for the Carousel?

Carousel - 6 minutes for 48 people in line
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Answers

Answer:

Step-by-step explanation:

5

in3runvn

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