Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy's collection? 38 50 95 130

Answers

Answer 1

Answer: She has 38 nickels

Step-by-step explanation:

Let's define:

N as the number of nickels, D as the number of dimes, and Q as the number of quarters.

She has 140 coins in total, so we can writen:

N + D + Q  = 140.

And the total value is $19.00

Then we have:

N*0.05 + D*0.10 + Q*0.25 = 19

And "The difference in the number of dimes and the number of quarters is 10."

D - Q = 10.

So we have a system of 3 equations and 3 variables:

N + D + Q  = 140.

N*0.05 + D*0.10 + Q*0.25 = 19

D - Q = 10.

First, let's isolate one of the variables in the third equation, i will isolate D.

D = 10 + Q.

Now we can replace this in the other two equations:

N + (10 + Q) + Q = 140

N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.

Now we can isolate Q in the first equation:

N + 10 + 2*Q = 140

2*Q = 140 - 10 - N

Q = 130/2 - N/2. = 65 - N/2

Now we can replace this in the other equation:

N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19

N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19

Now we can find the number of nickels.

N*0.05 + 1 + 22.75 - N*0.175 = 19

23.75 - N*(0.175 - 0.05)  = 19

23.75 - 19 = N*0.125

4.75/0.125 = N

38 = N

She has 38 nickels

Answer 2

Answer:

A or 38 nickels

Step-by-step explanation:


Related Questions

PLEASEEEE HELP URGENT

Answers

Answer:

7.1 cm

Step-by-step explanation:

The diagonal of a cube connects two opposite corners.

You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.

Let the length of the edge be s.

a^2 + b^2 = c^2

[tex] s^2 + 10^2 = (\sqrt{150})^2 [/tex]

[tex] s^2 + 100 = 150 [/tex]

[tex] s^2 = 50 [/tex]

[tex] s = \sqrt{50} [/tex]

[tex] s = 5\sqrt{2} [/tex]

s = 7.1

Answer: 7.1 cm

A sheet of paper is cut into 7 same-size parts. Each of the parts is then cut into 7 same-size parts and so on. After the 4th cut, how many of the smallest pieces of paper are there?

Answers

Answer:

28

Step-by-step explanation:

Seven times four is equal to twenty eight

What is the answer to -2r-4r=0

Answers

Answer:

r = 0

Step-by-step explanation:

First, combine like terms:

(-2r - 4r) = 0

(-6r) = 0

Isolate the variable, r. Divide - 6 from both sides:

(-6r)/-6 = (0)/-6

r = 0/-6 = 0

r = 0 is your answer.

~

Answer: R=0

Step-by-step explanation:

Round the following number to the place indicated: 65,327; thousands

65,330
70,000
65,000
65,300

Answers

The answer is 65,000

Find f(2) for the following functions: f(x) = x - 14

Answers

Answer:

f(2) = - 12

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

f(2) = - 12

Hope this helps you

Here, we are given with a polynomial f(x)

[tex]f(x) = x - 14[/tex]

And we are asked to find f(2).....?

We can see that, 2 is in place of x. So for finding its value, we need to substitute 2 in place of x.

Substituting 2 in place of x:

[tex]f(x) = x - 14[/tex]

[tex]f(2) = 2 - 14[/tex]

Solving further,

[tex]f(2) = \boxed{- 12}[/tex]

And, we're done with the value of f(2)

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:1

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]\sqrt{5-x}=4[/tex]

Square both sides:

[tex](\sqrt{5-x})^2=4^2[/tex]

[tex]5-x=16[/tex]

Subtract 5 from both sides:

[tex]5-x-5=16-5[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

R/5 = 4/7 solve for r

Answers

Answer:

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Step-by-step explanation:

R/5 = 4/7

Cross-multiply (numerator * opposite denominator = numerator * opposite denominator)

R(7) = 5(4)

Multiply

7R = 20

Divide both sides of the equation by 7

R = 20/7

Simplify

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Hope this helps :)

Train A and train B stops at Swindon at 10:30 . Train A stops every twelve minutes and train B stops every 14 Mins , when do they both stop at Swindon again ?

Answers

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

Select the most precise and correct definition of parallel lines from among those that are given.

A.Two distinct lines are parallel if they are in the same plane and never intersect each other.

b.Two distinct lines are parallel if they point in the same direction.

c.Two distinct lines are parallel if one can be rotated to sit on top of the other.

Answers

a will be the answer to the question

can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!

Answers

Answer:

Corresponding angles

Step-by-step explanation:

Corresponding angles are formed when two lines are crossed by another line (which is called the Transversal) So , the angles in matching corners are called corresponding angles.

The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes. A graph titled Cost of Gift Cards. The x-axis shows the number of gift cards, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 10 to 90. Blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80). What would be the cost for 5 of the gift cards? $80 $90 $100 $110

Answers

Answer:

the answer is 100$ on endgunuity

Step-by-step explanation:

The cost for 5 of the gift cards is $100. Therefore, option C is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80).

Now, we will find m and c using the points (1,20) and (2,40)

Let x be the number of gifts cards and y is total cost (in $).

The slope, m = (40-20)/(2-1)

m = 20

Equation of straight line is given as,

y = mx + c

Put the value of m,

So, y = 20x + c

Substitute with the point (1,20) in y=20x+c, we get

20 = 20×1 + c

20 = 20 + c

c = 0

The equation of the line, y = 20x

To find the cost for 5 of the gift cards substitute with x = 5

y = 20×5 = 100

So, the cost for 5 of the gift cards = $100

Therefore, option C is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

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Solve.
1) (-85) ÷ 20 =
2] 100 ÷ 60 =​

Answers

[tex] - 85 \div 20 = - 4 \frac{1}{4} = - 4.25[/tex]

[tex]100 \div 60 = \frac{5}{3} = 1 \frac{2}{3} [/tex]

John's teacher bought three 64 ounce bottles of soda for a class party. At the end of the party, 1/6 of the soda remained. How many ounces of soda remained?

Answers

Answer:

32 ounces

Step-by-step explanation:

If John's teacher bought three 64 ounce bottles of soda for a class party, the total weight of the soda bought will be 3*64 = 192 ounces of soda.

If 1/6 of the soda remained after the party, the amount of ounces that remained is expressed as;

amount of ounces that remained  = 1/6 * 192

amount of ounces that remained = 32 ounce

Hence amount of ounces that remained is 32 ounces

Can someone please help me I have been trying for hours and I don’t get it.

Answers

i think it’s 3 sets of carnations, so that’d be 18 singular carnation flowers

it might not be right, but i was able to get 3 sets for each of the 3 types of flowers

so there’d be 18 carnation flowers, 6 sunflowers, and 12 tulips

so the answer is 18 carnations
So in the small vase, there is a total of 12 flowers in it. We get this number by just adding the 6, 2, and 4. The large vase has 36 flowers in it, a number that’s given to us. We can divide the 36 by 12 and see that the large vase is 3 times larger than the small vase. Now, to find out how many carnations are needed in the large vase, just multiply 6 by 3. This will give you an answer of 18 carnations in the large vase. Hopefully this helps, but if not then just comment and let me know! :)

Review the following equation. Redo the work for the equation. What is the
value of x?
2(x + 1) = x - 4(x-2)
2x 2 = x-4(x-2)
2x2 = x - 4x - 8
2x - 2 =-3x - 8
-6 = -5x
-6/5 = x

What is the answer?:
x= 6/5
x= 5/7
x= 7/5
x= -3/5

Answers

Answer:
x = 6/5

Step by step explanation:

2x + 2 = x - 4x + 8

2x + 2 = -3x + 8

2x + 3x = 8 - 2

5x/5 = 6/5

x = 6/5

Can someone help me??

Answers

The answer is
A.


Distribute 6 through the parentheses

Move constant to the right-hand side and change its sign

Calculate the difference 9-24= -15

Divide both sides of the inequality by 3

Hope this help

The jansen family has 2 1/2 gallons of milk. Each of the 3 family members drinks 1 1/2 cups of milk a day .How many cups of milk are left after 8 days ?

Answers

Answer:

4

Step-by-step explanation:

The amount of milk remaining is equivalent to 4 gallons.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Jansen family has 2 1/2 gallons of milk. Each of the 3 family members drinks 1 1/2 cups of milk a day.

1 gallon = 16 cups

2[tex]\frac{1}{2}[/tex] gallons = 2[tex]\frac{1}{2}[/tex] x 16 = 5/2 x 16 = 5 x 8 = 40 cups

Now -

Total milk consumed in 1 day = 3 x 3/2 cups = 9/2 cups = 4.5 cups.

In 8 days, the amount of milk consumed will be = 4.5 x 8 = 36 gallons.

Remaining amount = 40 - 36 = 4 gallons.

Therefore, the amount of milk remaining is equivalent to 4 gallons.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Where is the camera's shutter located?

Answers

Answer: The camera shutter is located inside the camera body.

Fun Fact - In the 1957 film “12 Angry Men” the focal length of the lenses in the cameras used were gradually increased to create a feeling of claustrophobia.

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answers

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is

x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )

x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

The shortest side is x - 5 = 3 in

What is the slope of the line that passes through the points:
(6,-4), (15,-4)

Answers

Answer:

The slope is 0

Line is y= -4

Step-by-step explanation:

Haruki has $20 in his savings account. Each
week he will add $5 to it. He wants to draw
a graph that shows how much money is in
his savings account over time, starting with
$20. What is the equation of the line?

Answers

Answer:

y=5x+20

Step-by-step explanation:

It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.

Answer:

y=5x+20

Step-by-step explanation:

El numero de suscriptores a un periodico fue de 200000 en 1998 y de 350000 en el año 2001. Suponiendo que la relacion es lineal, ¿cual seria el numero de abonados en el año 2006?

Answers

Answer:

I can't understand your language

Translate into a verbal expression:
3x - 2

Answers

Answer:

three times a number minus two

Step-by-step explanation:

x= times a number

Kathy wants to do a fundraising for her school. She can’t sell more than 6 pies of cheese pizza and she can sell at least most 5 pies of pepperoni pizza. Kathy can only have a total of 10 pizza pies. Hint: Kathy can’t sell negative pies of pizzas.

What is the two inequalities?

Answers

Answer:

x≤6

y≤5

x+y≤10

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The cube of the difference of 1 and a number.

Answers

Answer:

1-x=y cubed

Step-by-step explanation:

difference between 1 and a number is 1-x and the answer to this you cube.

A submarine drops at a rate of 16 feet per minute. What is the submarines depth after 4 minutes?

Answers

Answer:

答えがわからない

Step-by-step explanation:

答えがわからない

Solve for x and y: 10x=5y+5 y=2x-1

Answers

Answer:

So there are infinite solutions along the line y = 2x-1

Step-by-step explanation:

10x=5y+5

y=2x-1

Substitute y into the first equation

10x = 5(2x-1) +5

10x = 10x-5+5

10x = 10x

This is always true

So there are infinite solutions along the line y = 2x-1

Find the midpoint of the segment with the following endpoints.
(8,5) and (0, -1)

Answers

Answer:

(4,2)

Step-by-step explanation:

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)[/tex]

Answer:

(4,2)

Step-by-step explanation:

you know why

What is the equation of the line that passes through the point (−6,2) and has a slope of -3/2

Answers

[tex]y = {x}^{2} + 4x - 12[/tex]


How does the absolute value take away negative signs

Answers

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

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