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 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If
Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far
up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round
to the nearest tenth of a foot.

Answers

Answer:

21.8

Step-by-step explanation:

What is the value of the fraction below?
21/0

A. Undefined
B.0

PLEASE HELP

Answers

The answer is undefined

Yo guys help pls.pls pls

Answers

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

To get from home to work, Felix can either take a bike path through the
rectangular park or ride his bike along two sides of the park.

How much farther would Felix travel by riding along two sides of the park
than he would by taking the path through the park?
F 1.7 mi
G 0.6 mi
H 2.5 mi
J 0.1 mi

Answers

Answer:

h its h :)

Step-by-step explanation:

i

a trader needs $300000 to improve her business, she deposits $110000 in her savings account at 5% per annum compound interest. she then adds $50000 to her savings at the end of each year find
(a) her total savings after 3 years.
(b)by how much is her savings greater or less than $300000 at the end of the third year​

Answers

interpret it that there are three payments of 50,000 aside from the current deposit of 110,000

amount after 3 years

= 110,000(1.05)^3 + 50,000( 1.05^3 - 1)/.05

A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Answers

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

PLEASE HELP FAST!!!
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%

Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15

Answers

Answer: a is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

Explain how you would find the length of one side off a square if the area is 16 square units please HELP

Answers

Answer:

area = length x width 4x4 = 16

side lengths are 4

Step-by-step explanation:

BRAINLIEST TO CORRECT ANSWER! NO links as answers, or you will be reported! (question 12)

Answers

Answer:

Factor numerator and denominator

Step-by-step explanation:

Find the area of a sector of a circle with radius 7 cm and and central angle 240°.

Answers

The formula for finding area of a sector is angle/360 * area. Now plug in. Area of whole circle is 49pi. Central angle is 240. 240/360 = 2/3. 2/3*49pi = 98pi/3

Answer:

103 cm^2

i just took the quick check

Which answer choice shows that the commutative property does not hold for matrix multiplication?

Answers

Given:

The matrix statements in the options.

To find:

The answer choice that show the commutative property does not hold for matrix multiplication.

Solution:

We known that matrix multiplication is not commutative. if A and B are two non-zero matrices, then

[tex]AB\neq BA[/tex]

Let us assume,

[tex]A=\begin{bmatrix}-1&-8\\-3&-5\end{bmatrix}\text{ and }B=\begin{bmatrix}1&3\\8&5\end{bmatrix}[/tex]

According to the above property of the matrix, we get

[tex]\begin{bmatrix}-1&-8\\-3&-5\end{bmatrix}\begin{bmatrix}1&3\\8&5\end{bmatrix}\neq \begin{bmatrix}1&3\\8&5\end{bmatrix}\begin{bmatrix}-1&-8\\-3&-5\end{bmatrix}[/tex]

Therefore, the correct option is B.

this is your correct answer

Solve this equation 4n+3= 4n-2 by graphing

Answers

Answer:

no solution

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

12m +8 – 5m + 2 + m = 6(m + 1)
m =

Answers

Answer:

m = −2

Step-by-step explanation:

Give me brainllest or お前はもう死んでいる

Answer:

m=-2

Step-by-step explanation:

Danielle sells 3 donuts for $9. Write an equation to represent the relationship between the number of donuts sold and the earning

Halp

Answers

3x=9. 3 represents the donuts she sold, x represents the cost of each donut and 9 is the total earning

Which expression is equivalent to 17s-10+3(2s+1)?
O 23s-9
O 23s-7
O 11s-7
O 11s-9

Answers

Answer:

23s-7

Step-by-step explanation:

17s-10+3(2s+1)

17s-10+6s+3

23s-7

*EXTRA PTS* pls answer all 3 :)

Answers

Answer:

5, x = 0,  y = -2

6, x = 4,  Y = 9

7,  X = -2, Y = -2

Step-by-step explanation:

Find the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters. Round your answer to the nearest tenth.

Answers

Answer: 565.3 cubic cm

Step-by-step explanation:

V= 1/3Bh

V= 1/3π r^2h

= 1/3 π (6 cm) ^2 (15 cm)

= 1/3 π (36 cm squared) (15 cm)

= 180π cubic cm

about 565.2 cubic cm

π is about 3.14

The value of the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters is,

⇒ 565.2 cubic cm

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

In cone,

Radius = 6 cm

Height = 15 cm

Now, We know that;

Volume of cone is,

V = 1/3π r²h

Substitute all the values we get;

V = 1/3 π (6 cm)² (15 cm)

V = 1/3 π (36) (15)

V = 180π

V = 565.2 cubic cm

Thus, The value of the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters is,

⇒ 565.2 cubic cm

Learn more about the multiplication visit:

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What is the slope ?
15x-3y = 18

Answers

Answer:

5

Step-by-step explanation:

To find the slope, you need to solve for y

So subtract 15x from both sides

-3y=-15x+18

Divide by -3

y=5x-6

The slope is 5

Answer:

5

Step-by-step explanation:

Because I is smart

Lol, give other person brainliest, they deserve it

The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?


A. 5 + 3


B. 5 + -3


C. 5 - -3


D. -5 - -3

Answers

Answer:

C

Step-by-step explanation:

Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each.
Work out Sean's percentage profit.

Answers

Answer:

the percentage profit is 20%

Step-by-step explanation:

Given that

Sean paid  £10 for 24 chocolate bars

He sold all 24 chocolate bars for 50p each

we need to find out the percentage profit

Since he paid  £10 and sale value is (24 × 0.50) i.e. £12

So, the percentage profit is

= (£12 - £10) ÷ (£10)

= 20%

Hence, the percentage profit is 20%

7. Giovanni made the design below for an art project. What is the area of the drawing? 13 in. 5 in. 4in.​

Answers

Answer:

75 in^2

Step-by-step explanation:

Given data

From the figure

We can see a rectangle and a triangle

The area of the rectangle is

Area= L*W

Area= 13*5

Area= 65 in^2

Area of the triangle

Area= 1/2b*h

Area= 1/2*4*5

Area= 2*5

Area= 10 in^2

Hence the area of the composite figure is

Area= 65+10

Area= 75 in^2

Brownies, b are 30 more than half the calories of a piece of cake c, write an equation

Answers

Answer:

b = 30 + c ÷ 2

Step-by-step explanation:

b = brownies

c = cake

The answer is 30>c(1/2) because brownies, b, is 30 MORE ,>, than half the calories, c.

Explain to me what cathyrn did wrong based of the line plot? I’ll mark brainliest if I have one

Answers

Answer:

Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.

Hope this helped!

Can someone please help me

Answers

Answer:150

Step-by-step explanation: If you see the highest point in the number line. You can see it’s in the middle of of 140 and 160 so it’s 150

Solve systems of linear equations by elimination.check your solution

Answers

Answer:

Explanation:

11.
x + y = 2 (1)
2x + 7y = 9 (2)
—————-—
-2(x + y = 2)
2x + 7y = 9
——————-
-2x - 2y = -4
2x + 7y = 9
——————-
5y = 5
y = 1

x + y = 2
x + 1 = 2
x = 1

12.
8x - 5y = 11
4x - 3y = 5
——————
8x - 5y = 11
-2(4x - 3y = 5)
———————-
8x - 5y = 11
-8x + 6y = -10
———————-
y = 1

4x - 3y = 5
4x - 3 = 5
4x = 8
x = 2

17.
9x + 2y = 39
6x + 13y = -9
———————
2(9x + 2y = 39)
-3(6x + 13y = -9)
—————————
18x + 4y = 78
-18x - 39y = 27
————————
-35y = 105
y = 105/-35
y = -3

9x + 2y = 39
9x -6 = 39
9x = 45
x = 45/9
x = 5

Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

Answers

SAT average divided by budget per student and
SAT average divided by teachers per student
Question 2:
Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.

Benny plant grew 16.8 centimeters this year. The plant grew the same amount each month. How much did the plant grow each month?

Answers

Answer:

1.4 centimeters each month

Step-by-step explanation:

we know that there are 12 months in a year. if the plant grew 16.8 centimeters in one year, you would have to divide 16.8 by 12 so your equation would be:

16.8/12 = 1.4

A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9
students have signed up for the pottery class.
Let x represent how many more students need to sign up. Which inequality describes the
problem?
9 + X > 15
9 + x 2 15
Solve the inequality. Then, complete the sentence to describe the solution.
At least
more students need to sign up.

Answers

9 + x > (equal to or greater than) 15
6 more students need to sign up because 15-9=6

9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a high school will only offer a pottery class next year if at least 15 students sign up.

9 students have signed up for the pottery class.

Let x represent how many more students need to sign up.

9+x≥15

9+x≥15 is the inequality describes the problem.

Subtract 9 from both sides

x=15-9

x=6

So 6 more students should be added to the pottery class.

Hence, 9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

To learn more on Inequality click:

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Given the function f(x)=2(3x+7)−4(x−2), what would be the value of input, x, if f(x)=18?

Answers

Answer: x=-2

Step-by-step explanation:

Given

f(x)=2(3x+7)-4(x-2)

f(x)=18

Use substitution method

2(3x+7)-4(x-2)=18

Expand parenthesis

6x+14-4x+8=18

Combine like terms

2x+22=18

Subtract 22 on both sides

2x+22-22=18-22

2x=-4

Divide 2 on both sides

2x/2=-4/2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Find the DIAMETER if the circumference of a circle is 64.7

Answers

Answer:

20.6

Step-by-step explanation:

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