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

Find the area of the following figure.
18 square units
16 square units
12 square units
24 square units

Answers

The area is 82,944 it that because you multiply when it come to area

Solve the equation for x.​

Answers

Answer:

x = 5

Step-by-step explanation:

4(x-1)/8 = 2(x+2)/7

7*4(x-1) = 8*2(x+2)

28(x-1) = 16(x+2)

28*x + 28*-1 = 16*x + 16*2

28x - 28 = 16x + 32

28x - 16x = 32 + 28

12x = 60

x = 60/12

x = 5

Check:

4(5-1)/8 = 2(5+2)/7

4*4/8 = 2*7/7

16/8 = 2*1 = 2

For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0

Answers

Answer:

(-6,2)

Step-by-step explanation:

[tex]f(x)<0[/tex]

We are given [tex]f(x)=x^2+4x-12[/tex].

So we need to solve:

[tex]x^2+4x-12<0[/tex]

First let's find when the expression on the left is 0.

[tex]x^2+4x-12=0[/tex].

The expression on the left is factorable.

Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

[tex](x+6)(x-2)=0[/tex]

So the solutions can be found be solving the following linear equations:

[tex]x+6=0[/tex] and [tex]x-2=0[/tex].

First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]

Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].

Let's plug in x=-8

[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].

[tex]f(-8)=(-8+6)(-8-2)[/tex]

[tex]f(-8)=(-2)(-10)[/tex]

[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(0)=(0+6)(0-2)[/tex]

[tex]f(0)=(6)(-2)[/tex]

[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(5)=(5+6)(5-2)[/tex]

[tex]f(5)=(11)(3)[/tex]

[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information

Answers

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz

Answers

Answer:

A) 12x-4y

Step-by-step explanation:

Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.

4x + 5y = 30
5x + 3y = 31

Answers

Answer:

y=2

x=5

trust me its by calculator

Answer:

x=5

y=2 true......

Step-by-step explanation:

.............

Hi can someone please tell me what the answer is thanks!

Answers

Answer:

B. 6

Step-by-step explanation:

50 times 3/5 = 150/5 = 30

30 times 4/5 = 120/5 = 24

24 times 1/4 = 24/4 = 6

Will give brainliest if correct.

Answers

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?

Answers

Yellow: 24
Orange: 20
Red: 16

Explanation:

6 + 5 + 4 = 15

60 / 15 = 4

Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeans

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

Find out more at https://brainly.com/question/14493658.

Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?

Answers

39.95+.10x=y
X being the text messages and y the amount paid

Which relation is a function?( click all that apply)

Answers

A, B, D are functions.
(First, second, and fourth response)
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Plssss plsss help!! I can Venmo if that’s how u can help! Thank you!!

Answers

Answer:

And for number 10 the answer is (b)

I hope this helps, Happy learning!!!

what is the answer to (-3)×(-5)

Answers

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

What is the slope of 3x-2y=7?

Answers

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you get a chance to serve the cake, 12 more people arrive! So, you decide to cut a concentric circle in the cake so that you will have 24 pieces. How far from the center of the cake should the circle cut be made so that all 24 people get the same amount of cake?

Answers

Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

The diagram shows a triangle.
45°
38°
What is the value of s?

Answers

Answer:

97 degrees

Step-by-step explanation:

If 45 + 38 = 83

A triangle is 180 always

so 180-83=97

Marking brainles!!!!

Answers

Answer:

C. 4 ft x 6 ft

Step-by-step explanation:

May I have brainliest please? :)

If 0.5cm = 6 inches you can just double the number you have then multiply that by 6

4cm = 48cm which is 1.5748 feet

6cm =

Answer:

D

Step-by-step explanation:

0.5cm - 6ft

1cm=12ft

2cm= 24

3cm= 36

4cm = 48

5cm= 60

6cm = 72

48 divided by 6 is 8

72 divided by 6 is 12

A carnival ride consists of four circular cars - a b c d - each of which spins about at its center point The center points of cars a and b are attached by a straight beam as are the center points of c and d The 2 beams are attached at their midpoints by a rotating arm. A plan for the ride uses coordinate plane in which each unit represents one meter. In the plan, the center of car A (-6,-1) and B (-2,-3) and C (3,4) and D (5,0). Each car has a 3m diameter

Answers

Answer:

Hello your question is incomplete attached below  is the complete question

Answer : The shape of the fence will be a circle

              dimensions of the fence are : radius = 6.5 meters

Step-by-step explanation:

First we calculate the length of the different arms

AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]

     ≈ 4.47

CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]

     ≈ 4.47

Next we calculate the midpoint of these two arms

M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )

M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex]  = ( 4,2 )

hence midpoint of M1,M2 =( M ) = ( 0,0 )

finally considering M calculate the distance between M and car B,D

MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex]  = 3.60

MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex]  = 5

therefore the radius of the fence will be

= 5 + 1.5 = 6.5 meters ( because MD > MB )

Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.

Answers

Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?

Answers

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?

Answers

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

What is the answer to this
2(x-5)-6=-18

x=___

Answers

Answer:

x= -1

Step-by-step explanation:

Distribute:

2(x -5) -6 = -18

2x -10 -6 =-18

Subtract the numbers:

2x -10 -6 =-18

2x -16 = -18

Add 16 to both sides of the equation:

2x =16 += -18

2x -16 +16 = -18 +16

Simplify:

2x = -2

Divide both sides of the equation by the same term:

2x/2 = -2/2

Simplify:

x=-1

Answer:

x = -1

What is 78.5 rounded to the nearest hundredth

Answers

Answer:

There is no digit in the hundredths place, making this indeditable.

Answer:

it is already rounded to the nearest hundredth

Step-by-step explanation:

the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)

Increase £180 by 12.5%​

Answers

Answer:

202.50

Step-by-step explanation:

Answer:

£202.50

Step-by-step explanation:

£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.

Hope this helps :D

help im being timed what is the perimeter of this triangle?!

Answers

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

To find the PERIMETER of a triangle, add the length of its sides.EXAMPLE ⇒ If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. NOTE: The P stands for PERIMETERHope this helpsGod bless

Answer the following parts asked.

Answers

Answer:

[tex]f(n) = 15 + (n + 1)[/tex]

Step-by-step explanation:

Tina earns $15 every week when she mows the lawn.

We would put $15 because she earns $15 every week.

She earns 15 every week, so we would put (n + 1).

Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]

Answer:

The explicit rule is:

[tex]f(n)=60+15(n-1)[/tex]

After 15 week, Tina will have $270 in her savings account.

Step-by-step explanation:

Let’s write down our sequence so we can see it better.

For the first week (i.e. the first term), Tina has $60.

For the second week (i.e. the second term), Tina has $75.

And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.

Therefore, we can write the following sequence:

60, 75, 90, 105, 120, 135...

Note that our initial term a is 60.

And our common diffference will be 15.

Let’s find the explicit rule. The standard format for an explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:

[tex]f(n)=60+15(n-1)[/tex]

So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:

[tex]f(15)=60+15(15-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]

Hence, after 15 weeks, Tina would have $270 in her savings account.

what are the three products of celullar respiration

Answers

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Tyler is going on a road trip with his family. He pays $16.80 for 4 gallons of gas. What is the cost per gallon? What is the cost of 3 gallons? 5 gallons?

Answers

The cost per gallon of gas is $4.2.
($16.80 divided by 4 gallons)
The cost of 3 gallons is $12.6.
(3 gallons times $4.2)
The cost of 5 gallons is $21.
(5 gallons times $4.2)
You can continue the pattern of $4.2 dollars times each gallon forever.

a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form

Answers

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

If a van traveled 120 miles in 2 hours, how far could the van travel in 5 hours?​

Answers

Answer :

The Answer Is 300 Miles In 5 Hours

Answer:

300 miles i think

Step-by-step explanation:

120 times 2.5 bc 2 times 2.5=5

120 times 2.5 is 300

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