Andrew has 212 coins, all of
which are either quarters or
dimes. The total value of the
coins is $44.90. What is the
value of all of the dimes?

Answers

Answer 1

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

     q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

  10d + 25q = 4490              d + q = 212

- 10d - 10q = -2120

             15q = 2370

                 q = 158 quarters   d + 158 = 212

                                                        d = 54 dimes


Related Questions

0.6x + 2.7 = 0.9x


"solve the equation. show all your steps"​

Answers

Answer:

x=9

Step-by-step explanation:

0.6x+2.7=0.9x

move the terms

0.6x-0.9x=-2.7

collect like terms

-0.3x=-2.7

divide both sides

x=9

A quartic polynomial P(x) has rational coefficients. If 2 − i and-√5 are roots of P(x) = 0, what are the other 2 roots?

Answers

Answer:

2 + i and + √5

Step-by-step explanation:

Since P(x) is a quartic equation, it has 4 roots.

Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.

So, its other two roots are 2 + i and + √5

25% of what number is 20

Answers

Answer:

100

Step-by-step explanation:

Is (3, 3) a solution to the equation y
=
x?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff

Answers

Answer:

114%

Step-by-step explanation:

A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff?

Percentage Formula is given as:

New value - Old value/Old value × 100%

New value = 214

Old value = 100

Hence:

Percentage increase = 214 - 100/100 × 100

= 114/100 × 100

= 114 %

Therefore, the percentage increase = 114%

WILL REWARD BRAINLIEST (40 POINTS PLEASE HELP)

Answers

Answer:

first of all I can't see nothing

It’s just a white picture we can’t see nothing

HELP DUE AT MIDNIGHT

Answers

8 and 4 are corresponding angles

Answer:

Will you give brainliest? I know the answer. Only if you would give brainliest.

Step-by-step explanation:

1.
AOGDA
CRP
PCR
RPC
PRC

Answers

Answer:

prc

Step-by-step explanation:

Answer:

It is indeed PRC

Step-by-step explanation:

What is meant by the order of operations?

Answers

Answer:

Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. What is the "multiplier" for soybeans? ​

Answers

Answer:

5 acres < soybeans < 495

2 acres < wheat < 198 acres

Step-by-step explanation:

If farmer plans to plant minimum of soybeans, it should be 5 acres of soybeans costing $1000. The remaining cost of $98,000 will be available for maximum of wheat, i.e., 198 acres of wheat.

Similarly, if we go for minimum possible planting for wheat, it should be 2 acres, and then resulting in 495 acres for soybeans

5 acres < soyabeans < 495

2 acres < wheat < 198 acres  

Answer:

The multiplier for soybeans is 200, which is dollars per acre.

Step-by-step explanation:

5 acres ≤ soybeans ≤ 495 acres (constraint)

2 acres ≤ wheat ≤ 198 acres (constraint)

150w + 125s = 100,000

This would represent 150 acres of wheat and 125 acres of soybeans. The acres of wheat would add up to $75,000 because 150 x 500 = 75,000 and the acres of soybeans would add up to $25,000 because 125 x 200 = 25,000. (example of a solution, there are more possible)

A scenery is painted on a paper 44cm long and 30cm wide such that there is a margin of 2cm along each of its sides. Find the total area of the margin.

Answers

Answer:

280 cm²

Step-by-step explanation:

The computation of the total area of the margin is shown below:

Given that

Length = 44 cm

Breadth  = 30 cm

Area of the cardboard = 44 × 30 cm² = 1,320 cm²

Now

Length of the painting eliminating the margin is

= [44 - (2 + 2)] cm

= 40 cm

And,

Breadth of the painting eliminating the margin is

= 30 - (2+ 2)

= 26 cm

Now

Area of the painting eliminating the margin is

= (40 × 26) cm²

= 1,040 cm²

And, finally the total area of the margin is

= (1,320  - 1,040) cm²

= 280 cm²

Are triangles congruent if three pairs of corresponding sides are
congruent? Pls help me.

Answers

Answer:

if triangles are congruent if three pairs of corresponding sides are

congruent.to made a congruent triangle

following axiom need to fulfilled.

A.S.A AXIOMS.S.S. AXIOMS.A.S. AXIOM

Answer:

to my knowledge yes they are

Step-by-step explanation:

What is the greatest common factor of 46 and 16?

Answers

Answer: The greatest common factor is 2
the greatest common factor is 2

. Solve for x
10 = 5(x + 8)

Answers

The answer is:
x= -6
____________

Answer:

x = -6

Step-by-step explanation:

10 = 5(x+8)

=> 5(x+8) = 10

=> 5x + 40 = 10

=> 5x = 10 - 40

=> 5x = -30

=> x = -30/5

=> x = -6

x2 - 18x + 81
True or False?
Your FACTOR is when you SQUARE your B value.

Answers

in this way you can solve this

Please help me out! And please show your work!

Answers

The answer is probably 6 cm
x/24 = 7.5/30
x/24=0.25
x=6

what's the percentage of change from 20 is decreased to 11​

Answers

Answer:

The percentage is 45 percent.

Step-by-step explanation:

Which inequality represents all possible solutions of - 4n<16?

Answers

4n is the soultioncAnswer:

Step-by-step explanation:

What is the equation of a circle whose center is at the origin and whose radius is 16?

x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256

Answers

X2 + Y2 = 256

Best luck with your studying

Answer:

x^2 + y^2 = 256

good luck and have an awesome Day/Night

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?

Answers

Answer:

150 square feet

Step-by-step explanation:

Step 1

Find the Length and Width of the backyard

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.

Perimeter = 2L + 2W

L = Length, W = Width

L = 5 + W

Hence:

50 = 2(5 + W) + 2W

50 = 10 + 2W + 2W

Collect like terms

50 - 10 = 4W

40 = 4W

W = 40/4

W = 10 feet

We find L

L = 5 + W

L = 5 + 10 feet

L = 15 feet

Step 2

What is the area of the backyard?

Area of a rectangle = Length × Width

Area of the rectangular backyard = 15 feet × 10 feet

= 150 square feet

I need help on both

Answers

The answer is c and d

I need help with this answer I would like help !

Answers

the answer is 1/15
hope this helped!

Jordan runs 20% of a marathon relay race. If a
marathon course is 25 miles long, how many miles
does Jordan run?
I’m

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 miles

Step-by-step explanation:

Take 20% of 25, you can do this by multiplying the decimal form of 20% by 25:

0.20 x 25 = 5

Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement.
1. w – 4 > –10
2. 12 ≥ 20x
3. 7y10 ≤ 5.5
4. –3.25 < x – 9.75

Answers

Answer:

yes,no, no, yes

Step-by-step explanation:

Drag the numbers to order them from greatest to least, with the greatest at the top.
(Any answer's that dont make sense or dont relate to the question will be reported and deleted)
.[tex]\sqrt{17}[/tex]
.[tex]\sqrt{12}[/tex]
.4.923935
.5.03709

Answers

Step-by-step explanation:

5.03709

4.923935

√17

√12

If your scale factor is 3/4, how will the scaled copy compare to the original?

It will be the same size.


It will be larger.


It will be smaller.

Answers

A scaled copy with the scale factor being 3/4 it would be smaller because it’s less than one so whenever there is a fraction that’s less than one then the shape would be smaller aswell

Find the volume of the cone-

Answers

Answer:

12.6ft³

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the formula for volume of a cone

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

r = radius

h = hypotenuse

Now all we have to do is plug in the hypotenuse and the radius

[tex]V=\pi 2^{2} \frac{3}{3}[/tex]

2²=4

[tex]\frac{3}{3} =1[/tex]

4xπ=12.5663706144

And now we just round to the nearest tenth

so we can conclude that the volume of the cone is 12.6ft³

A right rectangular prism has a square base and a volume of 225 cubic centimeters. The height, h, of the prism is 9 centimeters. Find the area of the base, B. A. B. C. D.

Answers

Answer:

Area of base = 25cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

Volume = length × width × height = lwh

for a square base, length = width

∴ volume = l × l × h = l²h

where:

l = length

h = height = 9cm

volume = 225 cm³

∴ 225 = l² × 9

l² = 225 ÷ 9

l² =  25

∴ length = √ 25 = 5cm

Area of base = Length × Length = 5 × 5 = 25cm

whats12 divided by 1/3 (infractions)

Answers

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

A square has a radius of 10 ft. Find the area of the square

Answers

Answer:

Hello hello

Step-by-step explanation:

Answer:

a square does not have a radius

Step-by-step explanation:

but you can find the area by squaring one side

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