Grace has 27 coins (a combination of dimes, d, and quarters, q). She has $4.50 total. How many coins of each type does she have?

Answers

Answer 1

Answer:

15 dimes, 12 quarters

Step-by-step explanation:

d + q = 27

.10d + .25q = 4.5

solve by substituting '27-q' for 'd'

.10(27-q) + .25q = 4.5

2.7 - .1q + .25q = 4.5

.15q = 1.8

q = 1.8/.15

q = 12

d = 27-12 which is 15


Related Questions

A rectangle has vertices at: A(0, 0), B(0, 9), C(4, 9), D(4, 0) What is the perimeter of the rectangle?

Answers

Answer:

Rectangle Perimeter = 26

Step-by-step explanation:

Rectangle ABCD , Length = parallel horizontal sides are AB & CD, Breadth = parallel vertical sides = BC & AD

AB segment joining A (0,0) - B (0,9) = 9 units. CD joining C (4, 9) & D (4,0) = 9 units. So, Length = 9 units

BC segment joining B (0,9) - C (4,9) = 4 units. AD joining A (0,0) - D (4,0) = 4 units. So, Breadth = 4 units

Perimeter of rectangle = 2 (Length + Breadth)

= 2 (9 + 4)

= 13 x 2 = 26

Find the surface area of the figure.
13.5 m m
2
9 m
9 m

Answers

Answer and Step-by-step explanation:

Work in Picture:

#teamtrees #PAW (Plant And Water)

Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.

Answers

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

An isosceles triangle has an angle that measures 122º. Which other angles could be in that
isosceles triangle?

26 / 29 / 58 / 38

Answers

Answer:

29

Step-by-step explanation:

2x + 122 = 180

2x = 180 - 122

2x = 58

x = 29

Hiiiooo! Can someone please help me out with this!❤️

Answers

Answer:

8

Step-by-step explanation:

6² + b² = 10²

36 + b² = 100

-36          -36

b² = 64

[tex]\sqrt{64}[/tex] = 8

b² = 8

hope this helps

choose the bast description for the real number 34/3

Answers

Step-by-step Answer:

C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.  

what is the mathematical equation of 9932x6394=

Answers

Answer:

Step-by-step explanation:

63,505,208

can you choose me brainliest?

63,505,208 hope this helped :)

ayo can yall help me plzzz

Answers

Answer:

D

Step-by-step explanation:

because there is no green

Answer:

D. Impossible

Step-by-step explanation:

There are no green folders so he can't pick a green one.

:)

A pet store donated a percent of every sale to hospitals. The total sales were ​$8,900 so they store donated ​$178. What percent of ​$8,900 was donated to hospitals?

Answers

Answer:

2%

Step-by-step explanation:

Given  data

Sales = $8,900

Donated amount=  ​$178

Percentage of donated sales= Donated amount/ Sales*100

Percentage of donated sales= 178/ 8900*100

Percentage of donated sales=0.02*100

Percentage of donated sales=2%

Hence the percentage is 2%

I can't figure this out and didn't see it on brainly, pls help​

Answers

Answer:

it's 8

Step-by-step explanation:

(10×1/5)^3=2^3=8

Answer:

The answer is 8!

Step-by-step explanation:

Subtract the like terms.  As you can see, the 10 in the numerator and denominator have the same base.  Therefore, you can subtract the exponents, which would be 10^1, or 10.  You would do the same for 5, which would be 5^-1, or 1/5.  You would then make this one fraction, the 10 and 5.  The fraction would be 10/5, or 2 once simplified.  Now, don't forget the outside parentheses!  You would do 2^3, and your final answer would be 8.  Hope this helps!

An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?

84 + 2z = 180
84 + 2z = 180

42 + z = 180
42 + z = 180

84 + z = 180
84 + z = 180

42 + 2z = 180

Answers

Answer:

84 +z= 180

Step-by-step explanation:

Bases of an isosceles ∆ are equal so 42+42= 84

find the measurement indicated in the parallelogram​

Answers

Answer:

m(∠W) = 114°

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

By this property,

m(∠W) = m(∠U)

9x + 15 = 4 + 10x

15 - 4 = 10x - 9x

x = 11

Therefore, m(∠W) = 9x + 15

                              = 9(11) + 15

                              = 99 + 15

                              = 114°

Measure of angle W is 114°.

A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?

Answers

Answer:   0.75

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

Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

HHHHHTHTHHTTTHHTHTTTHTTT

Again the order matters.

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

Now let's define the following events

A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 heads

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

V(A) = 4V(B) = 2V(C) = -1

From here, multiply the probability values with their corresponding net values

P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

can someone please help? :)

Answers

Answer:

The first step is to find the volume of the two hemispheres.

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.

Volume of sphere

[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]

[tex] = 2304\pi \: in^{3} [/tex]

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]

Volume of cylinder

[tex] = \pi( {12}^{2} )(24)[/tex]

[tex] = 3456\pi \: in^{3} [/tex]

Thus, volume of solid

[tex] = 3456\pi - 2304\pi[/tex]

[tex] = 1152\pi[/tex]

[tex] = 1152(3.14)[/tex]

[tex] = 3617.28 \: in^{3} [/tex]

Answer:

Solution :-

Volume of solid = Volume of Sphere - Volume of cylinder

Volume = 4/3πr³ - πr²h

Volume = 4/3 • π • 12³ - π • 12² • 24

Volume = 4/3 • π • 1728 - π • 144 • 24

Volume = 4 • π • 576 - π • 3456

Volume = π(3456 - 2304)

Volume = π(1152)

Volume = 3619.11 in³

[tex] \\ [/tex]

What should be subtracted from (−5/4 ) to get - 1

Answers

Answer:

-5/4+1/4=-4/4=-1

Step-by-step explanation:

A spinner with two equal sectors is spun 5 times.

What is the number of possible outcomes?

Answer: 32
Explanation: 2^5

Answers

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

Use the exponential growth/decay formula a. b* to solve each equation.
24. The population of Bayside, CA increased from 23,560 in 1990. The annual rate of
population increase for the next 20 years was about 6%. Predict the population of Bayside in
2010.

Answers

Answer:

the population in 2010 is 75,656.33

Step-by-step explanation:

Given that

The increase in population in the year 1990 is 23,560

The Annual rate of interest is 6%

And, the time period is 20 years

We need to find out the population in 2010

So, the following formula should be used

= Population × (1 + rate)^time period

= 23,590 × (1 + 0.06)20

= 23,590 × 1.06^20

= 75,656.33

hence, the population in 2010 is 75,656.33

HELPP will give brainliest NO LINKSSS

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

Solving Similar Triangles. pls help i dunno this:(

Answers

1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be

2.d=24 ||| the smaller triangle once again is 75% of the bigger one.

3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.

4. DE=8  AC=20 ||| The smaller triangle is half of the bigger one.

1. 6 is 75% of 8 and 12 is 75% of 16.

2. 18 is 75% of 24

3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3  of 60

4. 10 is 1/2 of 20; 1/2 of 16 is 8

Hope this helps.

i need help pleeeeease

Answers

Answer:

5

Step-by-step explanation:

because by solving that the answer comes 5.70

rewrite the radical equation​

Answers

Answer:

12x³y⁴z³[tex]\sqrt{z}[/tex]

Step-by-step explanation:

[tex]\sqrt{144x^6y^8z^7}[/tex] =[tex]\sqrt{12^2(x^3)^2(y^4)^2(z^3)^2z}[/tex] =12x³y⁴z³[tex]\sqrt{z}[/tex]

Answer:

solution given:

[tex] \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} [/tex]

is your answer.

What is tip would you give to your waiter if your bill was $56.50 and the tip is 20% of the bill

Answers

$11.30

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation.

For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.

So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $56.50 meal cost is. This is always done by multiplying 0.20 by $56.50, or

0.20 x $56.50 = $11.30

So, the amount of tip you are going to leave is $11.30.

This makes the total cost of your meal (to write on your charge slip or other payment)

$56.50 + $11.30 = $67.80.

Please!!!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.

Answers

Answer:

B.

Step-by-step explanation:

100 points / please help, im lost

Answers

Answer:

12:15 is NOT proportional to 3:4

Step-by-step explanation:

7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.

39:52 is proportional to 3:4 because 3×13=39, and 4×13=52

45:60 is proportional to 3:4 because 3x15=45, and 4×15=60

12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.

the answer to your question is D.12:15

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105? F لا | 1 1 3 H 7 J 15​

Answers

Answer:

J. 15

Step-by-step explanation:

Direct variation formula:

y = kx, k- coefficient of proportionality

Given:

x = 3, y = 21

Find k:

21 = 3kk = 7

Value of x, when y = 105

105 = 7xx = 105/7x = 15

Correct choice is the last one

The volume of a cylinder is 325 pi cubic centimeters and its radius is 5 centimeters.
What is the height of the cylinder?

__cm

Answers

The height of the given cylinder is 39 centimeters.
Step-by-step explanation: Given : The volume of a cylinder is 325π cubic centimeters and its radius is 5 centimeters

Answer:

13 cm

Step-by-step explanation:

just took the test

Which of the following equations describes the line shown below? Check all
that apply.
(-4, 4)
(2, 1)

Answers

Answer:

y = -1/2 x + 2

Step-by-step explanation:

Which of the following equations describes the line shown below? Check all

that apply.

(-4, 4)

(2, 1)

The standard equation of a line is y = mx,+b

m is the slope

b is he y-inttercept

Get the slope

Slope m = y2-y1/x2-x1

Substitute the coordinate

M = 1-4/2-(-4)

M = -3/6

M = -1/2

Substitute m= -1/2 and (2,1) into y = mx+b

1 = -1/2(2)+b

1 = -1+b

b = 1+1

b=2

Get the equation

Recall y =mx+b

y = -1/2 x + 2

Susanna baked a cake she and her family ate ⅜ of the cake and gave ⅛ of the cake to her neighbor to eat how much cake does susanna have left

Answers

1/2 of the cake is left

Answer:

They would have 4/8 left or 1/2 reduced

Step-by-step explanation:

Because they ate almost half then gave the last bit to the neighbor so they have 4/8 of there cake left or reduced 1/2 of their cake left

can someone help me?

Answers

Answer:

You would have 4 nickels and 10 dimes.

4 x 0.05 = 0.20
10 x 0.10 = 100 ($1.00)
$1.00+$0.20=$1.20

Answer: She has 6 nickles and 9 dimes.

Step-by-step explanation:

Let n be the # of nickles. Let d be the # of dimes.

n+d=15

0.05n + 0.1d =1.2

5n+10d=120

5(15-d)+10d=120

75-5d+10d=120

5d=45

d=9

n=15-d

n=15-9

n=6

47 Points | Please help! | Giving Brainliest to correct answer | Reporting false answers

Answers

Answer:

Maria :>

Step-by-step explanation:

because Gross Income is what you take out of your net income. so if your taking something out of it, that means its less.

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