Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank

Answers

Answer 1

Answer:

340 dimes and 232 quarters

Step-by-step explanation:

Let the number of dimes be x and quarters be y.

Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 cents

We have equations:

x + y = 57210x + 25y = 9200

Multiply the first equation by 10 and subtract from the second one:

10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232

Find the value of x:

x + 232 = 572x = 572 - 232x = 340

Related Questions

John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."

Answers

Answer:

Let the no of quarters be x

According to given,

x + (x+4) + (x+4)/2 = 6

x + (x+4) + (x + 8)/2 = 6

x + x + 4 + (x + 8)/2 = 6

[2 (2x + 4) + (x + 2)]/2 = 6

4x + 8 + x + 2 = 6 × 2

5x + 10 = 12

5x = 12 - 10

5x = 2

x = 2/5

•°• x = 0.4

1 doller = 4 quarter

0.4 doller = p

p = 0.4 × 4 = 1.6

•°• There are 1.6 quarter.

Quarters be xNickels be x+4Dimes be 2(x+4)

ATQ

[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]

[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]

[tex]\\ \sf\longmapsto 4x+12=6[/tex]

[tex]\\ \sf\longmapsto 4x=-6[/tex]

[tex]\\ \sf\longmapsto x=-3/2[/tex]

[tex]\\ \sf\longmapsto x=|-1.5|[/tex]

[tex]\\ \sf\longmapsto x=1.5[/tex]

List the angles of the triangle in order from least to greatest.

Answers

Answer:

3rd option

Step-by-step explanation:

The angle opposite the shortest side is the smallest

The angle opposite the longest side is the largest

Shortest side is AC with ∠ B opposite , thus smallest

Longest side is AB with ∠ C opposite, thus largest

Then order of angles from least to greatest is

∠ B , ∠ A , ∠ C

Which situation would use the midpoint formula?

a-Calculate the distance from Trenton to Jackson using a map.
b-Find the slope between two points.
c-Two friends live across town from each other. A park located in the center of town is the same distance from each friend. Find the location of the park when given the location of the each friend's house.
d-Locate the ordered pair (5,-2) on a coordinate plane.

(can chose more than one)

Answers

Answer:

A and C

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap

Answers

Answer:

mC=mA - base angles of an isosceles triangle

mA=68

A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?

Answers

Answer:

32

Step-by-step explanation:


Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system

Answers

Answer:

(-4,2)

Step-by-step explanation:

See attachment

***WILL GIVE BRAINLIEST***
A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?

A.
5 m
B.
4 m
C.
2 m
D.
3 m

Answers

The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.

What is Angle Bisector Theorem?

According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.

The sides of the triangle are 5,7 and (x+4) m.

The BD will be the angle bisector of angle B only if

x/4 = 5/7

x = 5 *4 / 7

x = 20/7 = 2.85 ≈ 3m

To know more about Angle Bisector Theorem

https://brainly.com/question/8022146

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4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?

Answers

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

In the first week of​ July, a record people went to the local swimming pool. In the second​ week, fewer people went to the pool than in the first week. In the third​ week, more people went to the pool than in the second week. In the fourth​ week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

10%

Step-by-step explanation:

During British History from 1550-1650. What was going on in Britain during the time just before, during and just after Shakespeare lived? Who were the rulers? What was the political atmosphere? What were the people concerned about? How did the people live?

Answers

Answer:

What was going on in Britain during the time just before Shakespeare lived?

Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.

Step-by-step explanation:

please mark me brainliest!!

The period from 1550-1650 in British history was a time of significant political, social, and cultural change.

What is British History?

England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.

Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:

Queen Elizabeth I reigned as Queen of England from 1558 until her death in 1603.Religious strife: The 16th century in England saw religious strife, with tensions between Catholics and Protestants leading to violence and persecution.Political unrest: Throughout the 17th century, England experienced a number of political conflicts and upheavals, including the English Civil War between royalists and parliamentarians.Economic changes: Significant changes occurred in the English economy during the 16th and 17th centuries, including the expansion of international trade and the rise of capitalism.Early modern England's daily life was marked by significant social stratification and inequality.

Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.

For more details regarding British History, visit:

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Is mLBAF = mLCEF? Explain.






Than you

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~

So, the Correct choice is ~

Yes, They are Alternate interior Angles

[tex]꧁  \large \sf{itz0kaul } \: ꧂[/tex]

can anyone give definition of liner expression
need it ASAP

Answers

Answer:

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line

Step-by-step explanation:

u single?

an algebraic system where each term is neither a constant or variable raised to the first power . i hope this helped !!

Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?


















Im not in highschool im in 5th grade btw












PLEASE HELP!!

Answers

Answer:

3840

Step-by-step explanation:

320 boxes; 12 donuts in each box

This is a multiplication problem.

320 × 12 = 3840

Answer: 3840

The asnwer is 320 divided by 12

7/8 minus1/4 minus 1/2

Answers

7/8 minus1/4 minus 1/2

7/8 - 1/4 - 1/2 =

(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =

7/8 - 2/8 - 4/8 =

(7 - 2 - 4)/8 =

1/8

the answer is 1/8

Alice bought 4 apples and 8 bananas for $4. Betty bought 6 apples and 10 bananas for $5.50
each fruit cost?

Answers

Answer:

Apples cost 50 cents and bananas 25 cents.

please mark brainliest if this helped

Step-by-step explanation:

1) Assign variable (x,y) to apples and bananas.

x=apples

y=bananas

2) Write system of equations for Alice and Betty.

Alice: 4x+8y=4

Betty: 6x+10y=5.5

3) Use substitution, elimination, or graphing to solve for x and y.

x=0.5

y=0.25

[tex]\sf 3(5x+4)[/tex]

[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]

Answers

Answer:

[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]

Answer:

15x+12

Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12

Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?

Answers

Answer:

She would have written 6 2/3 pages.

Step-by-step explanation:

2 2/3 pages = 1 hour

6 2/3 pages = 2 1/2 hours

At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?"

Answers

Answer:

we know that

Hillary

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

the answer is

48 days

Step-by-step explanation:

A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?​

Answers

Answer:

8:10

Step-by-step explanation:

8 parts for brown sugar and 10 parts flour.

In simplest, 4:5 (divide 8 and 10 by 2)

What kind of slope does the graph have?

Answers

It has a positive slope.

when it starts at the bottom left like that and goes up it is positive. :)

3/4 in simplest form WILL GIVE BRANLYEST!!!

Answers

Answer:

3/4 is in it's simplest form

Step-by-step explanation:

3/4 cannot be simplified any more, so it is at it's simplest form

Find the value of x. 130 Х​

Answers

Answer:

60

Step-by-step explanation:

edge

What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 4 units from the origin?

Answers

(3, -4) has to be 20 lettered doodle doo

Latoya took a taxi home from her best
friends house. The taxi charged an initial
fee of $3 plus an additional $1.75 per mile.
write an expression that represents the
amount of money Latoya will spend on
the taxi after traveling x amount of
hours.

Answers

Answer:

y=1.75x+3

Step-by-step explanation:

Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour

Answer:

y=1.75x+3

Step-by-step explanation:

Do you mean x amount of miles?  if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go.  You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.

An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle. ​

Answers

Answer:

5.76 cm

Step-by-step explanation:

When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,

R = side * sqrt (3) / 6

Here, side is 20 cm.

And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.

So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm

Eight times a number increased by 4 times the number is less than 36. What is the number? . logo thon 13 then find the​

Answers

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

Functions f (solid) and g (dashed) are graphed.



What is the equation of g in terms of f?

A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)

Answers

B got it right on a quiz

A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?

Answers

Your answer will be 38%, because you think of 100$ being as 100% and 620$ as being 62% and subtract 100-62= 38% it doesn’t work all the time but for this specific one it will, hope this helps.

Answer these also with standard pls

Answers

a. Slope 2 and y-intercept 3

Slope-intercept form: [tex]\bold{y=2x+3}[/tex]

Standard form: [tex]\bold{2x-y=-3}[/tex]

b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6

Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]

Standard form: [tex]\bold{3x-5y=30}[/tex]

c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9

Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]

Standard form: [tex]\bold{3x+2y=18}[/tex]

d. Slope -3 and y-intercept 0

Slope-intercept form: [tex]\bold{y=-3x}[/tex]

Standard form: [tex]\bold{3x+y=0}[/tex]

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Step-by-step explanation:

complementary angles mean that together they have 90°.

that means that sin(A) = cos(C) and vice versa.

so, the values are the same

cos(C) =24/25

sin(A) = 20/29

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