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

Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?

Answers

Answer:

$3,270

Step-by-step explanation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 3000(1 + (0.18 × 0.5)) = 3270

A = $3,270.00

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.

please I need help with both problems .( also show work plz)​

Answers

Answer:

4. x = 50

5. x = 5

Step-by-step explanation:

For question 4:

Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50

For question 5:

Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5

Answer:

4) x= -50

5) x= 5

Step-by-step explanation:

Number 5

Simplifying

-3x + -2 = -17

Reorder the terms:

-2 + -3x = -17

Solving

-2 + -3x = -17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -3x = -17 + 2

Combine like terms: -2 + 2 = 0

0 + -3x = -17 + 2

-3x = -17 + 2

Combine like terms: -17 + 2 = -15

-3x = -15

Divide each side by '-3'.

x = 5

Simplifying

x = 5

Number 4

x/5+7 = -3 // + 3

x/5+3+7 = 0

1/5*x+10 = 0 // - 10

1/5*x = -10 // : 1/5

x = -10/1/5

x = -50

x = -50

Aaron throws a ball off the top of a building. The path of the ball can be modeled by
the equation y=-3x2 + 8x + 42 where y is the height of the ball and x is the time in
seconds since the throw.
A. How long will it take for the ball to hit the ground? Show all work to receive
credit
B. How tall is the building?

Answers

Answer: A: 60, since x = the amount of seconds and the 8 represents the seconds then you'll add 8x+42 and get 60

B: 54, now in this step find what -3x2 is which give you -6  since they're different signs then subtract and your answer will be 54

Step-by-step explanation:

help dont understand like its confusing one minute u add then substract like...

Answers

Answer:

53 degrees

Step-by-step explanation:

< will be angle UwU (using pc)

m<JKM = 151 degrees is the total angle combining m<1 and M<2

therefore, we subtract m<2 from m<JKM to find m<1

Here is the equation:

m<JKM = m<1 + m<2

151 = m<1 + 98 (substitute)

53 = m<1 (simplify the like term so we subtracted 98 on both sides)

hope this helps!

For each graph write the domain and range using inequalities.

Answers

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

is it ever possible that |x| = -x and can you explain please​

Answers

Answer:

No

Step-by-step explanation:

The reason is that the absolute value of x is always not going to equal a negative.

|-1| = 1 (correct)

|-1| = -1 (incorrect)

Answer:

Never.

Step-by-step explanation:

Whenever there is an absolute value is a variable or number and it's negative or positive, the answer will always be positive ex., |-x| = x |x| = x

I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?

Answers

Right angles have a measure of 90 degrees
I’m assuming these two angles are complimentary (they add up to 90)

If one angle is 68, to find the other just subtract 68 from 90

90-68 = 22

The unknown angle is 22 degrees

Two stores sell CDs in packages, as shown in the table below. CD Prices at Store A Number of CDs in Package 1 12 20 45 Cost $0.70 $8.40 ? $31.50 CD Prices at Store B Number of CDs in Package 1 20 30 65 Cost $0.60 ? $18.00 $39.00 If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?

Answers

Answer:

IT'S A BELIEVE PLZZZZZZZz

Step-by-step explanation:

Answer:

The cost at Store A is $2.00 greater than at Store B.

Step-by-step explanation:

i had the same quiz this was correct

4(x-6)=-4 I'll give you brainly​

Answers

Answer: X = 5

Step-by-step explanation:

solve by multiplying the inside ( )

4x -24 = -4

add 24 to both sides

4x = 20

divide by 4

x = 5

please answer i need it fast!!!!!!!!

Answers

145 is the answer bruh i cant type

F(x) = 6x³- x²+ 7x +5

Answers

Answer:

F= 6x²-x+7+ 5/x

Step-by-step explanation:

Divide each term by x and simplify it.

Hope this helps.

A dinner for 7 people costs $215. 75. Approximately how much will each person pay if they split the bill evenly?

Answers

Answer:$30.82

Step-by-step explanation:

215.75

You divide by 7 because there are 7 people

215.75 divided by 7

Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park

Answers

Answer:

(5,1)

Step-by-step explanation:

if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1

The required coordinate of the max location is (4, 3).


Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.

What is the midpoint?

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)

Thus, the required coordinate of the max location is (4, 3).

Learn more about midpoints here:
https://brainly.com/question/28224145
#SPJ2


Find the area of a rectangle whose width is 6 and whose length is x – 5.

Answers

Answer:

If X is -5 then the answer is -30 but if it is X minus 5, the answer is X-30

Answer:

x-30

Step-by-step explanation:

Area of a rectangle is

length x width

l x w

[tex]x-5 * 6 = x-30[/tex]

f(x)=2x+5 find f(-6)

Answers

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

the area of a square rug is 72 square feet. what is the approximate length of one side of the rug?

Answers

18 feet
72/4 = 18


This needs to be 20 characters sorry

Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How long was each rope?

Answers

Answer:

8 meters

Step-by-step explanation:

56 / 7 = 8

What is the y-intercept in this equation?
6x + 3y = 24

Answers

Answer: y=8-2x

Step-by-step explanation: Move all terms that don't contain y

to the right side and solve

Hector is visiting a cousin who lives 400 miles away he has driven 75 miles how many more miles does he need to drive to reach his cousin’s home let d be how many miles left to reach his cousins house

Answers

Answer: Hector needs to drive 325 more miles.

6x^2=21x-9 Need help learning factoring please put work so I can understand

Answers

Hopefully this is enough work for you finding the the best way to get the multiples of the middle x makes it easier so there is not as many trial and errors. These problems are normally trial and error so don’t lose hope if you don’t get it right away

1
Pizza often comes in slices that are of a pizza each. Maria buys 36 slices for a birthday
8
party she is throwing,
(a) Represent the total amount of pizza that (b) Write your answer from (a) as a mixed
Maria is buying as a fraction. Do not number in simplest form. What does this
simply
answer tell you?

Answers

Answer:

Step-by-step explanation:

the pizza come in slices that are 1/8 each.

there are 36 slices, which means [tex]\frac{36}{288}[/tex].  so the simplest form is 1/8 as well. Maria bought 4 pizzas

The total amount of pizza Maria bought as a fraction is [tex]\frac{36}{4}[/tex] and  8 [tex]\frac{1}{2}[/tex] as a mixed number

Total amount bought = fraction of a slice x total slices bought

[tex]\frac{1}{4}[/tex] x 36  = [tex]\frac{36}{4}[/tex]

The above expression is an improper fraction

An improper fraction is a fraction in which the numerator is greater in value than the denominator

36 is greater than 4

A mixed number is a number that is made up  of a whole a whole number and a proper fraction.

To convert to an improper fraction to a mixed number:

Divide the numerator by the denominator. The whole number is written down The remainder is the numerator and the denominator in retained

[tex]\frac{36}{4}[/tex] = 8[tex]\frac{2}{4}[/tex]

When it is simplified it becomes 8 [tex]\frac{1}{2}[/tex]

To learn more about mixed fractions, please check: https://brainly.com/question/17767863?referrer=searchResults

is 6.458 a rational number

Answers

Answer:

It is a rational number

Answer:

Rational

Step-by-step explanation:

6.458 is rational because it is not repeating or infinite.

The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?

Answers




1.65 x 10 exponent -3 for the 10

What is X= to and what does Y= to?

Answers

Step-by-step explanation:

Straight line = 180 °

5x + 78 = 180

5x = 180 - 78

5x = 102

x = 20.4

and y = 78 ° because y is an opposite angle of 78 °

y=78 degrees
5x + y = 180 degrees
Or, 5x+ 78 = 180 degrees
Or, 5x= 180-78
Or, 5x=102 degrees
Or, 5x=102/4
Therefore, x=20.4 degrees

Robert had $58.62 in his bank account. He got paid $142.76. He then bought a new jacket for $63.76. He also bought 2 new movies for $6.99 each. He then babysat for his sister and was paid $12. How much money does Robert have now?

Answers

Robert now has $135.64.
Robert starts out with $58.62 in his bank account. Then he makes a deposit of $142.76 because he got paid. The total in his bank account now is $201.38

Robert then decides to buy a new jacket that costs $63.76 which means he made a withdrawal from his account of $63.76
So you would now subtract the total in his bank account from the cost of the new jacket. This leaves him with $137.62 left in his bank account.

Next Robert bought two new movies, which each cost $6.99 and so because he bought two movies, you multiple $6.99 by two. This comes out to $13.98 which is the amount Robert paired to purchase the two new movies. Robert withdrew the $13.98 from his bank account, leaving him with $123.64 left in his bank account.

Finally, Robert is paid $12 for babysitting his younger sister. He adds this to his bank account, which means his bank account total is $135.64

This means that Robert now has $135.64 in his bank account.




Hope this helps :)

What is the mode of the set of data?

12, 13, 4, 8, 9, 13, 2, 15, 7, 2, 9, 13, 6

Answers

Answer:

13

Step-by-step explanation:

this is because you have to look for the most common number

28 divided by -4 is the same as: (read attachment) pls help

Answers

Answer:

it's the last one

Answer:

Step-by-step explanation:

D- 28/-4

How do I solve this problem?​

Answers

Use the Pythagorean Theorem.
a^2 + b^2 = c^2
2^2 + 3^2 = c^2
4 + 9 = 13
square root of 13 = 3.6055...
round to the nearest hundredth..
The answer is 3.61 cm

‼️Please help‼️
Find the value of x and RT if RS=24 cm

Answers

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

r-18=27 Solve this equation

Answers

Step-by-step explanation:

r - 18 = 27

r = 27 + 18

r = 45

...

Answer:

r=45

Step-by-step explanation:

r-18 =27

r=27 +18

r=45

45 - 18 =27

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