1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?

Answers

Answer 1

Answer:

Ben has 8 dimes and 7 quarters.

Step-by-step explanation:

Given that:

Number of coins = 15

Worth of coins = $2.55 = 2.55 * 100 = 255 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

x+y=15     Eqn 1

10x+25y=255     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=15)

10x+10y=150     Eqn 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y) = 255 - 150

10x+25y-10x-10y=105

15y=105

Dividing both sides by 15

[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]

Putting y=7 in Eqn 1

x+7=15

x=8

Hence,

Ben has 8 dimes and 7 quarters.


Related Questions

I found my VibeBuddy ong im too happy!!!!!!!!!!!!

Answers

Answer: OMG i hope they are nice to you

Step-by-step explanation:

Sue is thinking of buying some 2-liter sodas which are on sale for $1.25 each. The total cost, c, ofall the 2-liter sodas will be proportional to the number of 2-liter sodas, s, that she buys.Which equation represents the relationship between cand s?

Answers

Ways to get 2$ is easy just multiply

z varies directly with q. when z=2,q=1 .

find a formula connecting z and q

z=???

Answers

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax

Answers

Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

what is−1/2−(−5/9) as a fraction in simplest form

Answers

Answer:

1/18

Step-by-step explanation:

-9/18 + 10/18

Answer:

1/18

Step-by-step explanation:

PLEASEEE HELPPPP ASAPPP PLEASE

Answers

a- (-6,4), (-9,0), (0,12), (-1.5,10), (-3,8), (6,20)
b-it is on the graph
c- (1,1), (0,0) (I just picked 2 random points that weren’t on the line)

Explain how to find the constant rate of change from the verbal description below.

Joe can drive his motorcycle 124 miles in 2 hours. If he goes at a constant speed what is the constant rate of change? (solve it but also explain how you would solve it)

Answers

Answer:

62miles/1hr

Step-by-step explanation:

In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.

 thanks for the help but I need this answer please!!!

Answers

Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees

A computer has a sales price of $150, and is advertised for 25% off of the original price.
What is the original price?

Answers

Answer:

Original price:$150

Markdown percentage:25%

Sale price:$112.50

Discount savings:$37.50

Step-by-step explanation:

If the discount price is 150 then the original price was 200. Because 200 x .25 makes 50 dollars, which is the discount you will subtract from 200

How to solve this I need it done by tonight please

Answers

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

What is X+Y?? and ( x+ y)- 7+8

Answers

Step-by-step explanation:

What is X+Y?

First note that if x + y = xy then neither x nor y can be equal to 1.

That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.

Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.

How to solve your question

Your question is

(+)−7+8

Simplify

1. Eliminate redundant parentheses

(+)−7+8

+−7+82

Add the numbers

+−7+8

++1

Solution

++1

Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?

Answers

I believe she swam for 3 3/4 in all.

Answer:

3 3/4

Step-by-step explanation:

which two expressions are equivalent?
A) 5x-5 and 5(x-5)
B) 5(x-5) and 5x-25
C) 5x-1 and 5(x-5)
D) 5x(x-1) and 5x-5
I need help asap thank you :)​

Answers

Answer:

b

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!!!!

Answers

not linear .........

A triangle has angles that measure 40° and 80°. What is the measure of the third angle of the triangle?
Enter the correct answer in the box. (Be sure to attach the degree symbol to your answer.)

Answers

Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

What is a triangle?

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

For more references on triangles, click;

https://brainly.com/question/2773823

#SPJ2

PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.

Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope

Answers

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?


I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points

Answers

Step-by-step explanation:

We have

Summer membership + $12 = 3(Weekend pass).

=> ($78) + ($12) = 3x

=> 3x = $90

=> x = $30.

Hence the weekend admission is $30.

Answer:

3x-12=78

Step-by-step explanation:

This is my thinking:

So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so

3x-12=78.

the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle

Answers

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

[tex]\sqrt{900}[/tex]=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

[tex]a^2+b^2=c^2[/tex]

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

Learn more about a right angle;

https://brainly.com/question/7116550

#SPJ2

Anyone know the answer?!

Answers

Answer:

B

Step-by-step explanation:

the third and fourth ones

I need help please ( i dont know what to do )

Answers

Answer:

a) 10cm

b) 11.6 cm( approximately)

Step-by-step explanation:

Use pythagorean theorem

Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Answers

Answer:

a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Step-by-step explanation:

Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Match each expression with its value.

15 ÷12

12 ÷ (-15)

12 ÷ 15

15 ÷ (-12)

-0.8
0.8
-1.25
1.25

Answers

1. 1.25
2. -0.8
3. 0.8
4.-1.25
1. | 1.25
3. | 0.8
4. | -1.25
2. | -0.8

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?

Answers

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

Holis
sawarasenaikimiwa⛓shoujonano?✨bökùWâÿariçhiñbįcchīńoosûdàyo ah

Answers

Answer:

Oop

Step-by-step explanation:

sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo

i haded to do it lol

Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

please help, urgent. picture shown.

Answers

Answer: 80

Step-by-step explanation:

First, find the area of the square by doing 12 x 12. (Which = 144)

Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.

This should get you 63.62, or 64 when rounded up.

You then subtract 64 from 144 and get 80 for your answer.

3x - 4y = 44
can someone help me get Y by it self

Answers

Answer:

y= 3 /4 x−11

Step-by-step explanation:

3x - 4y = 44

Add -3x to both sides.

3x−4y+−3x=44+−3x

−4y=−3x+44

Divide both sides by -4.

−4y /−4 = (−3x+44 )/−4

y= 3 /4 x−11

Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book?

Answers

Answer:

This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.

A Ik for sue that the answer is 199
Other Questions
Inside which command group will a user find the ability to configure Outlook rules used to organize a mailbox?TagsGroupsMoveFind What is an animal-like, unicellular protist called?protozoaneuglenoidslime molddecompos i don't need the work just the answer!! Which image shows the difference between the speed of molecules in hot and cold water? Explain your answer choice.HELP ME,EVERYONE!!!!!!!! :( An airplane prepares for landing. When it begins its descent towards the airport, the plane'saltitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000feet. Write an equation for the altitude of the plane. What will the altitude of the plane be afterdescending for 12 minutes? On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inchesbetween the two walls, how many feet separate the walls? Write an algebraic expression for s decreased by nine The figure shows a truss used in the construction of a building. The measure of 1 is 39. Find the measure of 2. how to make measurements of length, volume and time? What expression represents the value of y? What tone does Major use when talking to Alfred? PLEASE HELP ITS DUE BY MIDNIGHT I HAVE LIKE 30 MINS!!! The linear regression for this print-out relates the amount of oxygen in your spaceship measured in liters as a function of time In hours Interpret the meaning of the slope in the context of the problem I NEED ONE SENTENCE WITH THE WORDS : ADLOF HITLER, KINDER TRANSPORT, CORRUPT, LOOTED, AND RACIST ASAP what does y equal?...... Can you please help me I am struggling so much. what does n equal in this equation?-6 > n/15 Appliances connected so that they form a single pathway forcharges to flow are connected in a(n)A. series circuit.B. parallel circuit.C. off circuit.D. open circuit If 2+2 and 2-2 are the roots of the quadratic equation-3x+11x +c=0, find the value of c. The ans is -6,may you show me the steps? The area of a circle is 9 if and only if, its radius is 3.true or false solve for y and x explain your thinking when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?