A class contributed $19.00 in quarters and dimes to a local homeless shelter. In
all there were 100 coins. How many were there of each kind.

Answers

Answer 1

Answer: 60 quarters and 40 dimes

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $19.00 where d = dimes and q = quarters

Coin Total Equation → d + q = 100

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 100 - q  ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(100 - q) + 0.25q = $19.00

0.1(100) - 0.1(q) + 0.25q = $19.00

10 - 0.1q + 0.25q = $19.00

10 + (0.25 - 0.1)q = $19.00

10 + 0.15q = $19.00

Step 4: Subtract 10 from each side of the equation to isolate q

10 - 10 + 0.15q = $19.00 - 10

0.15q = 9

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q/0.15  =    9/0.15

q = 60

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 60 = 100

Subtracting 60 from both sides, we get d + 60 - 60 = 100 - 60

d = 40

Summarizing our word problem, we see that 60 quarters and 40 dimes add up to $19.00


Related Questions

There are 6 players on a volleyball team. How many players are in a game with 2 teams?

Answers

Answer:

There are 12 players

Step-by-step explanation:

6 x 2 = 12

Help ASAP giving brainliest

Answers

Answer:

X >= 1

Step-by-step explanation:

Answer:

x>=1

Step-by-step explanation:

I will give you a simple definition for Closed and Open number lines.

Closed circles in this number line mean INCLUDING 1 and everything greater so X>=1, or row 2 column 1.


Evaluate
Write your answer as a fraction in simplest form.
HELP PLEASE

Answers

Answer

-3⁻³/6⁻²

= (-1*3)⁻³/(2*3)⁻²

= -1⁻³·3⁻³/2⁻²·3⁻²

= -1.3⁻³⁺²/2⁻²

= -1.3⁻¹/2⁻²

= -4/3

Step-by-step explanation:

Please answer all 4 questions:)

Answers

Answer:

1. d=m/v

=57.6/112.9

=0.51018601

=0.510g/cm³(3s.f.)

2. m=d×v

=1.8×54

=97.2g

3. v=m/d

=63.8/12.7

=5.02362205

=5.02cm³(3s.f.)

4. v=length×breath×height

=12×2×6

=144m³

216g=0.216kg

d=m/v

=0.216/144

=0.0015kg/m³

Step-by-step explanation:

density=mass/volume

mass=density×volume

volume=mass/density

*make sure the units are correctly placed.

*g/cm³, kg/m³

The mass is 64204832(

Identify the relationship between the pair of angles y and v PLZZZZ THANK YOUUUU

Answers

Answer:

Q1. angle x + angle y = 180°

Q2. angle x = angle y

In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.

Answers

9514 1404 393

Answer:

  15.7°

Step-by-step explanation:

The law of cosines can be used to find side s:

  s² = r² +q² -2rq·cos(S)

  s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903

  s ≈ 16.849

Then the law of sines can be used to find angle Q.

  sin(Q)/q = sin(S)/s

  sin(Q) = (q/s)sin(S)

  Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°

Angle Q is about 15.7°.

A car is traveling at 40 ​mi/hour. What is the​ car's speed in feet per​ second?

Answers

Answer:

58.8 feet per second

Step-by-step explanation:

At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour. If you divide 5280 Feet by 3600 Seconds (5280 FT /3600 SEC.), you get 1.47.

Hope that helps :)

What is the y-intercept of this graph?​

Answers

Answer:

0,0

Step-by-step explanation:

To find y-intercept You look where the line touches the y-axis and vice-versa if you want to find teh x-intercept

Hello could someone help me ?

Answers

Answer:

None of the above

Step-by-step explanation:

Notice the wording "which of the following statements MUST VE TRUE..."

From the figure, we see that two angles with vertex S are congruent to two angles with vertex at Q.

There is no indication the two angles at S are congruent. There is no indication the two angles at Q are congruent.

We are not told anything about angle measures.

Answer: None of the above

what is the factors of 245

Answers

Answer:

Factors of 245: 1, 5, 7, 35, 49 and 245.

Answer:

the factor of 245 is 1 5 7 35 49 and 245

Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?

Answers

Answer:

10 miles

Step-by-step explanation:

Amtrak: 80 miles in 5 hours
Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answers

Answer:

hope it helps......................

Answer:

Hello, There! I'll be Glad to help

Question

Amtrak: 80 miles in 5 hours

Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answer

[tex]\textbf{Amtrak is correct}[/tex]

Step-by-step explanation:

So First we have to figure out Has fast the trains  go in 1 hour so we are going to divide...

Metra

30 ÷ 2 =  15 Miles  (Metra can go 15 Miles in one hour)

Amtrak

80 ÷ by 5 = 16  (Amtrak Can go 16 Miles in one hour)

_______________________________________

So If Metra Were to keep going  Here are the list of Miles Below

(45 Miles in 3 hours)

(60 Miles  in 4 hours)

(75 miles in 5 hours)

________________________________________

Amtrak

(96 Miles in 6 hours)

(112 miles in 7 hours )

(128 miles in 8 hours)

Therefore,  Amtrak  is the Fastest Train

Please help me w this

Answers

Answer:

I can't give answer i don't have but....

percentage is similar to division.

The total would be $18.74.

The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.

B. The slope of the graph of k is 2.

C. The graph of k passes through (-1, -8).

D. The zero of k is 3.

Fr someone help me

Answers

Answer:

B. The slope of the graph of k is 2.

Step-by-step explanation:

Find the equation of the line.

The slope is:

m = (8 - 0)/(1 + 3) = 2

The y-intercept is:

0 = -3*2 + bb = 6

The line is:

y = 2x + 6Now lets look at the answer options

A. The x-Intercept of the graph of k is 8.

The x- intercept is -3, False

B. The slope of the graph of k is 2.

m = 2, True

C. The graph of k passes through (-1, -8).

-8 = 2(-1) + 6-8 = 4, False

D. The zero of k is 3.

x = 0 ⇒ y = 0+ 6 = 6,  False

The slope of the graph of k is 2.

The correct statement is B.

Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).

We need to check which option is correct.

To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).

The slope of a linear function is given by:

slope = (change in y) / (change in x)

Using the points (-3, 0) and (1, 8):

slope = (8 - 0) / (1 - (-3))

slope = 8 / 4

slope = 2

So, the slope of the graph of k is 2.

Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

Using the point (1, 8):

8 = 2 × 1 + b

8 = 2 + b

b = 8 - 2

b = 6

Now, the equation of the linear function k is:

y = 2x + 6

Now, let's evaluate the given statements:

A. The x-Intercept of the graph of k is 8.

To find the x-intercept, we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The x-intercept is -3, not 8. So statement A is false.

B. The slope of the graph of k is 2.

We already found earlier that the slope of k is 2. So statement B is true.

C. The graph of k passes through (-1, -8).

Let's check if (-1, -8) satisfies the equation of k:

-8 = 2 × (-1) + 6

-8 = -2 + 6

-8 = 4

The equation is not satisfied, so statement C is false.

D. The zero of k is 3.

To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The zero of k is -3, not 3. So statement D is false.

In conclusion:

Statement A is false.

Statement B is true.

Statement C is false.

Statement D is false.

Learn more about linear function click;

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the zeros of the function f(x)=-(x+1)(x-3)(x+2) are -1,3 and ___ and the y-intercept of the is located at (0,__)

Answers

Also x=-2 is zero for function

A water storage tank is 4 m long, 3 m wide and 2 m deep. How many litres of water will it hold?​

Answers

Answer:

24 liters

Step-by-step explanation:

2×3×4

this is for trustmeiamsmart
hurry plzzzzzzzzzzzzzz

Answers

Answer:

distance between a and b is 1

distance between b and c is 3

distance between b and a is 1

6,-3

2-,5

-10,-3

-2-11

3

Answer:

Lol question for me only

Real Answer:

A and B = 1

B and C = 3

B and A = 1

Four points that are four points

6,-3

-2,5

-10,-3

-2,-11

Distance between some points

3

PLEASE HELP RN AQAP
THANKS!

Answers

YOU JUST PUT THE 3 IN BOTH BOXES

Answer:

8^3 x 12^3

Step-by-step explanation:

Alex's school had 20 hours for 400 students. Abbey's school has 225 students riding 15 uses. Whose school has the greater ratio of students/buses?​

Answers

Answer:

20/400 or 20 to 400

Step-by-step explanation:

Daria bought
a skein of alpaca yarn for $47.50, a skein
of angora yarn for $32.14, a skein of wool
yarn for $16.50, and a pair of knitting
needles for $3.86. How much did she
spend in all? Describe how you calculated
your answer

Answers

The total amount Daria spent on all her purchases is $100

In order to determine the total amount Daria spent on all her purchases, the cost of each item has to be added together.

Addition is a mathematical operation that can be used to determine the total sum of two or more values. other basic mathematical operations are subtraction, multiplication and division.

Total amount spent = cost of a skein of alpaca yarn +  cost of a skein

of angora yarn + cost of a skein of wool  yarn +   cost of a pair of knitting

needles

$47.50 + $32.14 + $16.50 + $3.86 = $100

A similar question was answered here: https://brainly.com/question/13319621?referrer=searchResults

10x-1/3y=15

solve for y

Answers

Answer:

[tex]y = \frac{10x - 1}{45} \\ [/tex]

Step-by-step explanation:

[tex] \frac{10x - 1}{3y} = 15 \\ 10x - 1 = 15 \times 3y \\ 10x - 1 = 45y \\ \frac{10x - 1}{45} = y \\ [/tex]

how many inches would it take to cover earth?

Answers

Answer:

It would take you almost 17 days driving at 100 km/hour, 24 hours a day to ... Circumference of the Earth in inches: 1,577,727,360 inches.

Step-by-step explanation:

From the given figure, find the area of the shaded region. Enter the answer in terms of pi​

Answers

Answer:

[tex]16\pi - 9\pi = 7\pi[/tex]

Step-by-step explanation:

It's 7pi. The area of outer circle takeaway the area of inner circle

Write the slope-intercept form of the equation for each line.

Answers

Answer:

y = x + 2

Step-by-step explanation:

Slope = 1x

y-intercept = 2

y = x + 2

Is this correct?
If it’s not, help me :(

Answers

if you are just plotting the points it would be;

W - (-2,-2)
X - (-2, 1)
Y - (2, 1)
Z - (4, -2)

Can somebody round 32.7 to the nearest 10th and make it a whole number? explain your answer very very clearly please ;)

Answers

Answer:

32.7. 0.7 is a tenth already

32.7. 7 is greater than 5.

round to 38

Step-by-step explanation:

Actividades de Desarrollo Actividad 1. En el siguiente ejercicio identificarás los elementos de los términos algebraicos (signo, coeficiente, literal y exponente) en los espacios correspondientes. Considera que, si no existe un signo explícitamente, lo deberás indicar como positivo (+), de igual forma, de no ser visible un exponente, su valor será de uno. a) -21x3w? Signo: - Coeficiente: 21 Literales: X, W Exponentes: 3.7 b)-755 Signo: Coeficiente: Literales: Exponentes: Literales: c) 8a2b5 Coeficiente: Exponentes: Signo: Literales: Exponentes: Coeficiente: Signo: Literales: Exponentes: Coeficiente:_ Signo: Literales: Exponentes: Coeficiente: Signo: d) m11 e) xyws ni ayb e) xyws e) xyws Literales: Exponentes: Coeficiente: Signo: Signo: Exponentes: Literales: 28 Coeficiente: ACADEMIA NACIONAL DE MATEMATICAS DGETI

Answers

Una expresión algebraica consta de una variable, coeficiente, exponente y signos.

Una variable es cualquier término desconocido y representado por el alfabeto inglés, como a, b, c, etc.

Un coeficiente es un número que se multiplica por la variable, como 2, 17, 39, etc.

Un exponente da la potencia del término que indica cuántas veces se repite.

a) -21x³w⁷

Firmar: -

Coeficiente: 21

Literales: X, W

Exponentes: 3.7

b) -755

Signo: negativo -

Coeficiente: 755

Literales: nulo

Exponentes: 1

 

c) 8a²b⁵

Signo: Positivo +

Coeficiente: 8

Literales: a, b

Exponentes: 2,5

d) m11

Signo: Positivo +

Coeficiente: 11

Literales: m

Exponentes: 1

e) xyws

Signo: positivo

Coeficiente: 1

Literales: x, y, w, s

English

An algebraic expression consists of a variable , co efficient, exponent and signs.

A  variable is any term that is unknown and represented by the English alphabet such as a, b,c and so on.

A co efficient is a number that is multiplied by the variable such as 2, 17 ,39 etc.

An exponent gives the power of the term indicating how many times it is repeated.

a) -21x³w⁷

Sign: -

Coefficient: 21

Literals: X, W

Exponents: 3.7

b) -755

Sign: negative -

Coefficient: 755

Literals:  nil

Exponents:  1

c) 8a²b⁵

Sign: Positive +

Coefficient: 8

Literals:  a,b

Exponents: 2,5

: d) m11

Sign: Positive+

Coefficient:  11

Literals: m

Exponents: 1

e) xyws

Sign: Positive

Coefficient: 1

Literals: x,y,w,s

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Question 5
Which expression is equivalent to the expression shown?
3²x3²
3 x 2 / 2
3 x1-31
3
x
34
3
A

Answers

Answer:

A

Step-by-step explanation:

If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?​

Answers

Answer:

See below

Step-by-step explanation:

This a form of the proportional relationship:

f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

We have:

f(5) = 12

It means:

Total cost of 5 cupcakes is $12

In f(x)

f(x) is total costx is total cupcakes

So in f(5)

5 cupcakes cost $12

Determine the slope of the line in the graph below.​

Answers

Answer:

Step-by-step explanation:

jnj

Answer:

I'm pretty sure it's 5

Step-by-step explanation:

It's 5 if: (please confirm before you answer it--the picture is blurry and it's hard to tell).

The line appears to intersect the origin (0,0) and (2.5,12.5).

Slope is rise over run, so if you take the difference in y value and divide it by the difference in x value, you get the slope.

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