Brian has saved five dollars in dimes quarters and half dollars she finds that she has 30 coins all together and there are four times as many quarters as there are half dollars how many dimes does Brian have

Answers

Answer 1

9514 1404 393

Answer:

20 dimes8 quarters2 half-dollars

Step-by-step explanation:

Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:

  10d +25q +50h = 500 . . . . value of the coins, in cents

  d + q + h = 30 . . . . . . . . . . . total number of coins

  4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves

Using the last equation to substitute into the other two, we get ...

  10d + 150h = 500

  d +5h = 30

The second equation can be written as ...

  5h = 30 -d

and the first can be written to facilitate substitution:

  10d +30(5h) = 500

  10d +30(30-d) = 500 . . . . . substitute for 5h

  900 -20d = 500 . . . . . . . . . simplify

  400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides

  d = 20 . . . . . . . . . . . . . . . . divide by 20

Brian has 20 dimes.


Related Questions

a reflection of the pink triangle is shown. which transformation makes this reflection

Answers

Answer:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Answers

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

X=5 Y=-5 is the answer I think?

A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)

Answers

12*5=60
12*48=576
576/128=4.5
4.5 gallons

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,

Rate = 48 / 5 fl oz per minute

We know that 1 gal = 128 fl oz, then we have

Rate = (48 / 128) / (5 / 60)

Rate = (48 x 60) / (128 x 5)

Rate = 2880 / 640

Rate = 4.5 gallons per hour

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

what is 7 divided by 10 as a fraction

Answers

The fractional form is 7/10.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

We have to divide 7 by 10.

The common factor for 7 and 10

7 = 7 x 1

and, 10= 2 x 5 x 1

so, there is only one factor common is 1.

Thus, the fraction is 7/10.

Learn more about Equivalent Fraction here:

https://brainly.com/question/29766013

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ILL MARK YOU EXTRA POINTS PLS HELP Point A is at (-1, -9) and point B is at (2, 4).
What is the midpoint of line segment AB?

Answers

Answer:

it's (1/2, -5/2)

Step-by-step explanation:

you can use the midpoint formula.

so do -1+2/2 , -9 +4/2 and then solve and you get the answer

Karen runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

Answers

Answer:

the answer would be 66 minutes

Answer:

66 minutes was correct for me

Step-by-step explanation:

math

Solve for c 4(3+c)+c=c+4

Answers

Answer:

c= -2

Step-by-step explanation:

i suck at fractions..............................

Answers

That would be 6 and 3/8

1 over 8 as a negative exponent

Answers

Answer:

8⁻¹

Step-by-step explanation:

1/x = x⁻¹

8^-1 is the answer......

Hi! need help asap xx

Answers

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Harley solved the following equation and knows she made a mistake. Explain to her where her error was and then solve the equation correctly.

Answers

Answer:

heyy i would help you but you didnt include the equation:)

TRIANGLE CONGUENCE
I need help on a and b please ASAP if u can am failing math please help if u can

Answers

Step-by-step explanation:

John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *

Your answer

State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *

Your answer

State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning

Asphere has radius of 3 cm. What is the volume of the sphere?

Answers

Answer:

radius =3cm

volume of the sphere =4/3 πr^3

=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7

=113.1cm^3

Redraw the graph so that it is not misleading.​

Answers

Answer:

you need to redraw the left axis

Step-by-step explanation:

if you notice on the left axis the numbers do not increase by the same amounts, it goes up .10, then .20, then .30, etc

if should go up the same amount each time to accurately show the data

so it should go from 3.10 to 3.20 to 3.30 to 3.40 etc

A cone has a height of 12 yards and a radius of 7 yards. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

____ cubic yards

Answers

Answer:

615.44 cubic yards

Step-by-step explanation:

V = 1/3·π·7²·12


12. In y > x + 4, where can we find the solution set?
A. above the line
C. in the line
B. below the line
D. no solution set

13. The statement, "the sum of two numbers is at least 29" can be expressed as:
A. x + y > 29 B. x + y < 29 C. x + y = 29 D. x + y = 2

14. The elevator has a maximum capacity (C) of 8 persons. Which of the following mathematical statement represent the given situation?
A.C = 8
B. C < 8
C. c 28
D. none of these

15. Bryan bought 6 chocolate candies and 3 lollipops. If x represent the cost of
chocolate candies and y represent the cost of lollipops, what will be the
mathematical representation of the total cost if he paid at most Php50?
A.6x + 3y > 50
C. 6x + 3y > 50
B.6x + 3y = 50
D. 6x + 3y < 5​

Answers

Answer:

1) D

2)A

3)D

4)A

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

I hope I can help you

Step-by-step explanation:

I hope I can help you

2 1/6 x 4 1/2 Solve the problem AND explain your steps

Answers

The answer is 9 3/4, 9.75
Explanation: 13/6 x 9/2
(reduce) 13/2 x 3/2
(Multiply 13/2 x 3/2)
39/4
(Reduce again) 9 3/4 or 9.75
Hope this helps

Help me it’s urgent

Answers

Answer:

35x16=560

Step-by-step explanation:

Answer:

2.19 i guess

Step-by-step explanation:

I don't really know the actual ans

NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth *
7.2 cm
2.1 cm
х

Answers

Answer:

7.5

Step-by-step explanation:

A squared + B squared = C squared

7.2 squared + 2.1 squared = C squared

=7.5

DO NOT SIMPLIFY YOUR ANSWERS
Sam owns a canoe rental company with 120 boats. He has 55 wood boats, and the rest are fiberglass. What is the ratio of...
fiberglass boats to wood boats?
total boats to fiberglass boats?
wood boats to other boats?
wood boats to total boats?
*answers are NOT TO BE SIMPLIFIED. YOU MUST use the colon key. . NO SPACES
Oulz saved

Answers

Answer:

Step-by-step explanation:

13/11,24/13,11/13,11/24

Answer:

65:55, 55:65, 55:120

Step-by-step explanation:

Fiberglass boats are = 65 because 120-55=65

Fiberglass to wood means that there is a 65:55 ratio because there are 65 fiberglass boats and 55 wood boats

wood to other, this is kind of a trick question, but its 55:65 because there are 65 other boats and 55 wooden boats

wood to total, this is 55:120 there are 55 wood boats and 120 total boats.

5 is not more than x​

Answers

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

18 rice cakes weigh a total of 130 g. There are 329 calories in 100 g of rice cakes. How many calories are there in one rice cake?

Answers

Answer:

1 rice cake has 23.761 calories

Step-by-step explanation:

18 rice cakes weigh a total of 130 g.

There are 329 calories in 100 g of rice cakes.

Step 1

We calculate the number of calories is 18 rice cakes

18 rice cakes = 130g

Hence,

100g = 329 calories

130g = x

Cross Multiply

100g × x = 130g × 329 calories

x = 130g × 329 calories/100g

x = 427.7 calories

Therefore, 18 rice cakes had 427.7 calories

Step 2

How many calories are there in one rice cake?

18 rice cakes = 427.7 calories

1 rice cake = x

Cross Multiply

18 × x = 1 × 427.7

x = 427.7/18

x = 23.761111111 calories

Approximately = 23.761 calories

Therefore, 1 rice cake has 23.761 calories

Divide.Enter the quotient in simplest form

7/10 divided by 4/5

Answers

Answer:

7/8

Step-by-step explanation:

7/10 divided by 4/5 = 7/10 x 5/4 = 35/40 divided by 5/5 = 7/8

the answer is 7/8 and that is in the simplest form

Here are the readings from a water meter.
Meter reading
November 2015
6287m
Meter reading
August 2015
6238m
Work out the volume of water used between August and November

Answers

Answer:

49

Step-by-step explanation:

6238 -6287

=49

hope love you

A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade how many teeth cross the cutting surface each second

Answers

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it is in the tens place. Who is​ right? How do you​ know?

Answers

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

b) Work out 4 =
5
Give your answer as a mixed number in its simplest form.

Answers

Answer:

Step-by-step

explain your question more please.

(-2,-4) and (-1, -5)​

Answers

36 I think

If this right can I get brain loser.

Answer:

sorry I am very sorry to say your question is incomplete. best of luck

Apply the distributive property to create an equivalent expression. 5 × ( − 2 w − 4 )

Answers

Answer:

5(-2w)-(5x4)

Step-by-step explanation:

Answer:

5(-2w)-(5x4)

Step-by-step explanation:                                                                                  Hope this helps Can I be the Branliest?

Simplify each expression by combining like terms
-3x + 12x =

Answers

Answer:

9x

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x

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