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

[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{36} }[/tex]

Answers

∛60
--------
∛36

=
∛5
------
∛3

=∛45
-----------
3

= 1.185

Please help me! (File attached)

Answers

Answer:

Yes, k=0.5

Step-by-step explanation:

I .    am .    in      9th .     Grade       Beachessssssssss

You are starting a lawn mowing business to earn
enough money to buy a new video game system,
which costs $500. You already have $150 saved
from last summer.
You earn $9.50 per hour.

Answers

Answer:

is the question asking how long would it take to make enough? if so the answer is 37 hours

Step-by-step explanation:

500 - 150 = 350

350 ÷ 9.50

=36.8421052632

(round up)

=37 hours

Find the sum
3 2/6 plus 1 3/6

Answers

Answer:

4 5/6

Step-by-step explanation:

3 2/6 plus 1 3/6

3 + 1 = 4

2/6 + 3/6 = 5/6

4 + 5/6 = 4 5/6

Answer:

4 5/6

Step-by-step explanation:

you start with the whole numbers, and 3+1 is 4 so we know that we need to add 4 to the sum of the fractions. next we need to add 2/6 and 3/6, to do that we just add the numeraters and we get 5 so it's 5/6. lastly we need to add the two numbers together and because we didn't get an improper fraction the answer is 4 5/6.

You work at a frozen yogurt shop during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boves. A box of 5 ounce cups cost $100 and a box of 8-ounce cups costs $150. A maximum of 1200 is budgeted for yogurt cups. Write a system of linear inequalities that shows the number of bonus of 5 ounce and 8 ounce cups that could be bought. Graph your result​

Answers

Answer: 5 Boxes

The way i did it: f+e =10

Value equation...:100f+150e=1250

Modify:100f+100e=1000

Substract the 1st from the 2nd to solve for e

50e=250

e=5 boxes

f+e=10 so f equals 5 boxes

2. Tadashi and his friend Abel make 18 dumplings. Tadashi eats one third, and Abel eats the rest. How many dumplings did Abel eat?​

Answers

Answer:

12

Step-by-step explanation:

18/3=6

so Tadashi ate 6 dumpling; the other 12 Able ate

Answer:

12

Step-by-step explanation:

Sine Tadashi eats one third, you have to divide the total amount of dumplings by three.

18/3=6

Tadashi eats 6 dumplings, so to find out how many Abel eats you have to subtract 6 from the total number of dumplings.

18-6=12

Abel ate 12 dumplings

Help I'm justing learning about this and I don't know what to start or do​

Answers

it’s C!! don’t listen to the first answer. all you have to do it count how many zero’s there are

Find three consecutive integers with a sum of -45.

Answers

Answer:

-14 + -15 + -16 = -45

Step-by-step explanation:

These are three consecutive integers that equal -45

Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same length as the sides of the hexagon, on each side of the hexagon as shown. One of the equilateral triangles is shaded. The shaded area is what fractional part of the entire area of the 6-pointed star? Express the answer as a fraction in simplest form.

Answers

Answer:

1/12

Step-by-step explanation:

A sailboat travels at an average speed of 8 km/h. How many kilometers are traveled in 20 h at that speed?

Answers

160 km because 20 hours times 8 km per hour

I need help please, I need the answer, I am not good at math :(

Answers

Um u think it might be um I am probably wrong but try 10

what is 1.0×10 to the power of 14 in scientific notation

Answers

Answer: 100,000,000,000,000

Step-by-step explanation:

1.0 x 10^14

since the exponent is positive that means we move the decimal to the right 14 times and you should get 100000000000000.0

What is the slope? ASAP!!!

Answers

Answer:

2/1 I think but i don't know

3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.

Answers

Answer:

6.2%

Step-by-step explanation:

Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%


Five whole numbers are written in order.
4 6 x y 10
The mean and median of the five numbers are the same.
Work out the values of x and y.

Answers

x = 7
y = 8
As 7 is the median as it would be the middle number and the mean would now be 7 as well

Plssss Help plsssssssssssss

Answers

Answer:

y = 5x

Step-by-step explanation:

what is 4 1/3 divided by 4/7​

Answers

Answer:

91/12

Step-by-step explanation:

this is all i can help you with.

Can you solve the equation?

Answers

Answer:

x=3 and 9

Step-by-step explanation:

; x-3=0

x=3 (change side change mark)

and

[tex] \frac{2}{3} x - 6 = 0[/tex]

[tex] \frac{2}{3} x = 6[/tex]

[tex]x = 6 \times \frac{3}{2} [/tex]

change side change mark.

So, x=9

If u wanna check the answer you can check by substitution x=3 and 9 in equation.

hope it helps you ☺️

which statements correctly describe the point plotted on the coordinate plane?
somdbody help me please.
can somebody help me please ​

Answers

Answer:

A and D are correct!

Step-by-step explanation:

The origin is 0,0

The x axis is the one that R is on right now

The correct statements are,

A) The point is 3 units right to the origin.

D) The x coordinate is 3.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The point R is shown in graph.

Nom,

Since, The point R is shown in graph.

Clearly, The coordinate of R = (3, 0)

So, We have;

⇒ The point R is 3 units right to the origin.

And, The x coordinate is 3.

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

Write the equation of a line that goes through (4,3) and has a slope of m=2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 2x - 5 ← equation of line

Joe's Hot Dog Stand is only open for lunch. Of today's sales, 26% came from selling plain hot dogs. Since the hot dog stand made $45.50 from selling plain hot dogs, it made $ in total sales for the day​

Answers

$45.50 ÷ 26% = $175

Total sales for the day is $175.

Joseph owns a pizza restaurant. He sells pizzas for $15 each and charges $8 for delivery. What would your total cost be if you had p pizzas delivered?​

Answers

Answer:

y = 15x + 8

Step-by-step explanation:

Hey there!

15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.

Hope this helps!

Please help will give Brain!!

Answers

Answer:

its 35

Step-by-step explanation:

look at the triangles see how the lines are the same amount? its dilation meaning it is still 35 but a smaller triangle at the process.

Carol spends 11 hours in a 4-week period practicing her culinary skills. How many hours does she practice in 5 weeks?

Answers

Answer:

13.75 hours

Step-by-step explanation:

If she spends 11 hours in a 4 week practice

then she pends X hours in 5 weeks

11 hours = 4 weeks

X hours = 5 weeks

11 x 5 =4x X

55=4X

X = 55/4

X =13.75 hours

The coordinates
(

2
,

3
)
(−2,−3) lie on line
r
r. Which equation could represent line
r
r?

Answers

Answer:

A y = -12x – 21 By = -2x – 7 O y = 5x – 7 D y = -2x – 1

Step-by-step explanation:

HOPE THIS HELPS !! <3

You purchase a new shirt that cost $15.00. Sales tax is added at the register at a rate of 8%. How much sales tax will be added to the cost of the shirt when you pay for it.

Answers

Answer:

16.2 U.S. Dollars  -  I hope this helps! :D

Step-by-step explanation:

find the length of the missing side Geometry

Answers

7.

Since it is a right triangle we can use Pythagorean Theorem to solve.

A^2+B^2=C^2

We are given C and B. We are solving for A, so we can input what we know.

A^2+24^2=25^2

A^2+576=625

A^2=49

A=7

Therefore, the missing side is equal to 7.

Divide -4/17 by -3/4

Answers

Answer:

16/51

Step-by-step explanation:

simplify -4/7 divided by -3/4

then you will get -16/51 but you have to add the rule so its 16/51

I hope this is the correct answer

In a right triangle ABC, C is the right angle. What does sinA equal?
A) cos(90°- A)
B) sin(90°- A)
C) cosB
D) Both A and C are correct

Answers

D it’s both pretty sure

What is it’s area !?plz answer fast

Answers

the correct answer is b
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