A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.65, how many dimes and how many quarters does she have?

Answers

Answer 1

Answer:

14 dimes and 17 quarters

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"31 coins, all of which are dimes and quarters."

d+q = 31

d = 31-q

"the value of the coins is $5.65"

0.10d + 0.25q = 5.65

substitution

0.10(31-q) + 0.25q = 5.65

3.10-0.10q + 0.25q = 5.65

0.15q = 2.55

q = 17

d = 31-q = 14

14 dimes and 17 quarters


Related Questions

Theoretically, how many times will the spinner land
on the number 4 if it is spun 28 times?

Answers

How many numbers are on the spinner if 4 then 7 times

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الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
3615
ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
50 اة ووصلوا إلى مدينة جاية لياخوران
»
) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the​

Answers

yep yep yep yep yep yep

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info

Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm​

Answers

The area of the triangle ABC is 34.2 square centimeters

How to determine the triangle area?

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Is this not 2? I got 2 and it was wrong

Answers

Answer:

Not Proportional

Step-by-step explanation:

Constant of proportionality is what you multiply with x to get y. This is not proportional since its not the same number each time

Answer:

i think its b

Step-by-step explanation:

reason is because 2 divided 2 is not 0 and 6 divided by 2 is not 4

sorry if its wrong ;(

The difference between a number and its square is 20. Find the
numbers.​

Answers

Answer:

-4 or 5

Step-by-step explanation:

let number be x

x²-x=20

Rearrange

x²-x-20=0

(x+4)(x-5)=0

Separate

x+4=0, x-5=0

x=-4 or 5

Solve for all values of c in simplest form.
|4-c| = 7

Answers

Answer:

Step-by-step explanation:

|4-c| = 7

4-c = ±7

c = 4 ∓ 7 = -3, 11

c=3
explanation: 4-3 is equal to -7 and those lines make the number positive

HELPPPPPP!!!!! ASAPPPPP!!!!

Answers

Answer:

c.

Step-by-step explanation:

hopes this helps

I think it’s C not sure

The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
many people there are in total.

Answers

Answer:  72 people total

45 boys, 27 girls

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

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

The people there are in total of 72 students

Let the ratio of boys to girls be 5x: 3x

The ratio of boys to girls in a group is 5:3.

What is the formula?

no. of boys = 18 + no. of girls

=> 5x = 18 + 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

x= 9

No. of boys = 5x

No. of boys= 5 × 9

No. of boys= 45

No. of girls = 3x

No. of girls= 3 × 9

No. of girls= 27

Total = 45 + 27

Total= 72

Hence, there are 72 students there.

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What's the greatest number you can multiply by 8 to get close to, but not go over, 69?

Answers

Answer:

8x8=64

happy to help

Step-by-step explanation:

Answer:

you can do 8x8 bc 8x8=64

Step-by-step explanation:

Please help! I need the answers with an explanation to these questions ASAP. Thanks!

Question 1. What value could complete this given equation that would make it true for no values of x? Show or explain your thinking.

Question 2. What value could complete this equation that would make it true for every value of x? Show or explain.

Answers

Answer:

0

Step-by-step explanation:

Given equations is

x+2y=8,5x+10y=c

The equations a

1

x+b

1

y=c

1

and a

2

x+b

2

y=c

2

will have uique solutions if

a

2

a

1

=

b

2

b

1

=

c

2

c

1

but from equations,

a

2

a

1

=

5

1

,

b

2

b

1

=

10

2

,

c

2

c

1

=

c

8

a

2

a

1

=

b

2

b

1

The given equations does not have unique solution, so the given statement is false, The correct answer is 0

Write three hundred eighty-seven thousandths as a decimal number.

Answers

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

51^7 -51^6 by 25
__*25

Answers

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

Solve:
3х + y =
5x-7
when , y = 5
Show
your work

Answers

Answer: x=6

Step-by-step explanation:

Hope this helps

) Which of the following is the correct equation of a vertical line that contains (5, 6)?

Answers

Answer:

[tex]y = {x}^{2} - 11x + 30[/tex]

Tell me ASAP plz!! Btw Patsy’s Pasta house uses 3/4 of a cup of sauce for every 12 ounces of pasta...good luck

Answers

Answer:

4/6

Step-by-step explanation:

Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?

Answers

Answer:

13.5 ounces

Step-by-step explanation:

Use the diagram and the information given to find the indicated measure:

1. ZX is the perpendicular axis of WY, yYZ = 13.75. Find the value of WZ.

2. ZX is the perpendicular axis of WY,

WZ = 4n − 13, and YZ = n + 17. Find the value of

AND Z.

3. Find the value of WX when

W Z = 20.5, W Y = 14.8, and Y Z = 20.5

Answers

the answer is 18ZX - 13

A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What is the appropriate circumference of the circle.

Answers

Answer:

Step-by-step explanation:

Exact area of circle = πr² = 196π sq ft

Approximate area of circle = 615 sq ft

Approximate circumference = 2πr = 88 ft

Answer:

615.75ft²

Step-by-step explanation:

A=πr²=π·14²≈615.75ft²

Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.

Answers

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Help me with this problem please.

Answers

Answer:

I believe its 7?

Step-by-step explanation:

sorry if this is wrong

7 i think i’m not sure

60 POINTS!!!!

Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?

Explanation would be appreciated!

Answers

Let r represents our age, m mother's age, f father's age. If mother is 25 years older than us, I+ 25 = m

If father is 3 years older than mother,

m +3 = f

The product of all three ages is 32130:

I-m.f = 32130

Substitute m with r+ 25:

m+3 =f r+ 25 + 3 = f r+ 28 = f

Substitute now f and m:

I- m.f = 32130 x(x+ 25)(x + 28) = 32130 (a2 + 25x)(x + 28) = 32130 3 + 28r2 + 25r + 700r = 32130 3 + 53r2 + 700r = 32130

Subtract 32130 from each side 3 + 53? + 700r – 32130 = 0

On the graph we can see that the only real solution is 17. > x = 17 m = 25 + 17 m = 42 f = m + 3 f = 42 + 3 f =|45

Our age is 17, Mother's age is 42 and father's age is 45.

Father’s age is 45

( sorry I know it’s too long but hope it helps )

My father is 42 years old as obtained from the cubic polynomial's real root.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

let my age be x years.

So, My mother is (x + 25) and my father is (x + 28) years.

{x(x + 25)(x + 28) = 32130.

(x² + 25x)(x + 28) = 32130.

x³ + 53x² + 700x = 32130.

x³ + 53x² + 700x - 32130 = 0.

Now solving this has only one real solution x = 17.

So, My father is (17 + 25) = 42 years old.

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express in exponential form 200×75​

Answers

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

The volume of a cylinder is 63 pi cm^3 . If the radius is 3cm, what is the height of the cylinder?

A. 3.5 cm
B. 21 cm
C. 10.5 cm
D. 7 cm

will give brainliest ​

Answers

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

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James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?

Answers

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4

Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.

Answers

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

Help me plssssss!!!!!

Answers

Answer:

si yo lo sé tú también cierto

what is 4x-7y=3
x-7y=-15

Answers

Answer:

0 i think if im wrong im sorry

Step-by-step explanation:

Answer:

The answer is x=6, y=3

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15

Simplify.

−4x+7y=−3x−7y=−15

Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18

Divide each term by −3 and simplify.

x = 6

Substitute the value found for x into one of the original equations, then solve for y.

y = 3

The solution to the independent system of equations can be represented as a point.(6,3)

The result can be shown in multiple forms.

Point Form: (6,3)

Equation Form: x=6, y=3

Only 3% of turtle hatchlings will live to become breeding adults. How many turtles must have been born if the current number of breeding adults is 1,200?

Answers

Answer:

116400 I believe not 100% sure tho

The total number of turtles born is 40,000.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, only 3% of turtle hatchlings will live to become breeding adults.

The current number of breeding adults is 1,200

Let the total number of turtles born be t.

Now, 3% of t=1200

3/100 ×t=1200

3t=120000

t=40000

Therefore, the total number of turtles born is 40,000.

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How Many?pls help me.

Answers

Answer:

8

Step-by-step explanation:

the answer is 8 because 5/3x4.8 =
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