I need help with this crazy Algebra 1a problem!
You have 14 coins in your pocket that are either quarters or nickels. The total value of the coins is $2.50.
A. Write a system of two equations that represents this situation. Let q represent the number of quarters and n represent the number of nickels.
B. Solve each equation for q.
D. What is the solution to the system?
E. Verify that the answer to part D is correct using the answer to part A.
F. How many of each coin are there?

I Need Help With This Crazy Algebra 1a Problem!You Have 14 Coins In Your Pocket That Are Either Quarters

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

A. First equation is

q + n = 14      

then we have

0.25q + 0.05n = 2.5

Multiply last equation by -20

-5q - n = -50     Now add this to the first equation

-4q + 0 = -36

B.  q = -36/-4 = 9.

D  Substitute for q in the  first equation

9 + n = 14

n = 14 - 9 = 5.

So the solution to the system is  q = 9, n = 5.

E Verify  this solution by substituting in the second equation:

0.25(9) + 0.05(5)

= 2.25 + 0.25 = 2.50.

- verified.

F.  9 quarters and 5 nickels.


Related Questions

Jella rode on the bike trail one afternoon. She biked 12 miles in 1 hour and 24 miles in 2 hours

Answers

INn FOUR hours Jennifer will travel 12 m/h x4 = 48 miles

it will take Thomas 48 miles / 4 m/hr = 12 hours to reach the bike in the meantime Jennifer has EIGHT hours of walking 3 m/hr x 8 = 24 miles form the bike Thomas now sets out at 10 m/h this is 10 - 3 = 7 m/h faster than Jennifer is walking he will close the 24 miles and catch Jennifer in 7 m/hr *x = 24 m

24/7hours

So Thomas walks for 12 hours then bikes for 24/7 hr = 15 3/7 hrs = ~ 15 hr 26 min

A researcher wants to compare the mean score on the Achenbach Youth Self Report form for a sample of youth displaced by a
hurricane to the population mean of 50 and a population standard deviation of 10. The researchers report a sample mean of 48 for their
sample of 36 youth. What is the standard error (aka standard error of the mean) for this sample? Round each step to two decimal
places.

Answers

Using the Central Limit Theorem, it is found that the standard error for this sample is of 1.67.

What does the Central Limit Theorem state?

It states that for a population of standard deviation [tex]\sigma[/tex], the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, we have that [tex]\sigma = 10, n = 36[/tex], hence the standard error is given by:

[tex]s = \frac{10}{\sqrt{36}} = 1.67[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Which of the following can we use to determine if a data set represents a function? There may be more than one answer.
A. Vertical line test
B. Make sure “y” values do not repeat
C. Make sure there is one and only one input for each output
D. Make sure each x-value has more than one y-value
E. Make a table to determine the numbers in the domain appear only once.

Answers

Answer:

A, B,C, and E. I hope this helps.

Step-by-step explanation:

|x+3| if x=2 please help i have rsm

Answers

Answer:

5

Step-by-step explanation:

|x+3| =

|2+3| =

|5| =

5 =

Answer: 5

Step-by-step explanation:

If x = 2, the numbers in the brackets should now be 2 and 3.
2+3 = 5.
Because having numbers in brackets like these | | means absolute value, the number you get is always a positive number.

Solve the equation for x.
X-5 = 11
Enter the number that belongs in the green box.
x = [?]
Enter

Answers

x=16. add 5 to both sides of the equation.
x=16 because you add 5 to both sides of the equation

Raymond caught the football 28 out of 35 times at practice. Predict the number of times he will catch the football during the game if it is thrown to him 20 times.

Answers

Answer:

16 times

Step-by-step explanation:

This problem is solved by ratio. Since the ratio of 28 out of 25 times is 4:5, he has to catch the ball 4:5 or 4 of 5 times. You multiply both 5 and 4 by 4, because that's how many times he's gonna catch it. 4 x 4 = 16, so the answer is 16 times.

Answer:

(4/5)^20

Step-by-step explanation:

1) First, write the numbers of times Raymond caught the football out of 35 attempts. This is a necessary step in order to obtain an appropriate operand.

28

35

2) Reduce the fraction to lowest terms. This is an optional step but it simplifies the problem.

28   /  4

35      4

= 4

  5

3) Raise the fraction to the 20th power. If the ball is thrown at him 20 times, the probability of him successfully catching the ball must be (4/5)^20.

= (4)^2

  (5)

Find the perimeter of the figure.

Answers

ANSWER: 3ft+ 3ft+ 3ft+ 3ft+ 3ft+ 3ft+ 3ft+ 3ft= 24ft

OR

3ftx8= 24ft

EXPLANATION: Each side is 3ft so we count how many sides OF A SQUARE there are on the outside, and each one of them is 3ft so we add them up to get the answer.

Solve the equation using the method of completing the square.
3x2 + 24x – 24 = 0

Answers

Answer:

Logical first step: divide everything by

3

Explanation:

x

2

8

x

+

8

=

0

Completing the square would mean: taking half of the

x

-coefficient and squaring that:

x

2

8

x

+

(

4

)

2

=

x

2

8

x

+

16

=

(

x

4

)

2

But we still have to balance the

16

with the

8

we had:

x

2

8

x

+

16

→(x−4)2−8=0→(x−4)2=8

So

x-4=√8=2√2→x=4+2√2

Or

x−4=−√8=−2√2→x=4−2√2

Often written as x1,2=4±2√2

The solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].

What is completing the square method?

Completing the square method is factorizing a quadratic equation, and henceforth finding the roots or zeros of a quadratic polynomial or a quadratic equation.

According to the given question.

We have a quadratic equation

[tex]3x^{2} + 24x - 24 = 0[/tex]

The above quadratic equation can be written as

[tex]3(x^{2} + 8x - 8) = 0[/tex]

[tex]\implies x^{2} + 8x -8= 0[/tex]

Now, we will solve the above equation by completing the square method.

[tex]x^{2} +8x - 8= 0[/tex]

[tex]\implies x^{2} + 2(4x) +(4)^{2} -(4)^{2} -8 = 0[/tex]

[tex]\implies x^{2} + 2(4x) + 16 - 16 -8 = 0[/tex]

[tex]\implies (x+4)^{2} - 24=0[/tex]

[tex]\implies (x+4)^{2} = 24[/tex]

[tex]\implies (x+4)^{2} = 24[/tex]

[tex]\implies (x+4) = \sqrt{24}[/tex]

[tex]\implies x+ 4 = \pm 2\sqrt{6}[/tex]

[tex]\implies x = 2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex]

Hence, the solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].

Find out more information about completing the square method here:

https://brainly.com/question/26107616

#SPJ2

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

can you send a better picture of the question so it can be clearer

Step-by-step explanation:

Which real-world scenario involves a right triangle?

Answers

Answer:

Step-by-step explanation:

Medical treatments that involve laser beams.

We can measure how far we put perpendicular the laser beam to a patient skin and we can calculate using right triangles how wide the beams go to only target certain cells (like cancer cells.)

The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.

Answers

Step-by-step explanation:

h=b-4

A=30ft^2

A=1/2bh

30=1/2b(b-h)

Cross Multiply

60=b(b-4)

60=b^2-4b

b^2-4b-60=0

Factorise the equation

(b^2+6) (-10b-60)

b(b+6)-10(b+6)

(b-10) (b+6)

b-10=0 or b+6=0

b=10 or b=-6

base =10 (since measurement can not be negative)

h=b-4

Sub the value of b

h = 10-4

h=6

So the height is 6ft and base is 10ft

does (-1, 2), (1, 1),( 1 -1), (2,1), (4,2) represent y as a function

Answers

No. A function maps one input to exactly one output. The given relation maps 1 to both 1 and -1, as indicated by the pairs (1, 1) and (1, -1).

Y={2x-1)(x+4)(2x-3)(x-1)

Answers

Answer:

Y =4x^4 + 4x^3 − 37x^2 + 41x −12

Step-by-step explanation:

Y = (2x - 1 ) (x + 4) (2x - 3) (x - 1)

Using commutative property we can re-arrange RHS,

Y= (2x - 1) (2x - 3) (x + 4) (x - 1)

Using the property

[(x+a) (x+b) = x^2 + (a+b)*x +ab],

Y =

[(2x)^2 + (-1 - 3)*2x + (-1 )*(-3)] [x^2 + (4 - 1)*x + 4*(-1)]

From here onwards I would recommend u to do the calculation by your own bc I might have made mistakes

in the steps but I got right but still just check yourself if u copy all the steps as it is

Y = (4x^2 -8x + 3) (x^2 + 3x -4)

Y = 4x^4 + 12x^3 - 16x^2 -8x^3 -24x^2 + 32x + 3x^2 + 9x - 12

Y = 4x^4 + 4x^3 -37x^2 + 41x - 12

Here I got the answer right so my calculations will also might be right

I checked my answer if it's right using an app called "MathPapa" and it's a great app to solve algebra questions like urs. The screenshot of the answer using this app is here on the top. This is the longest question I have solved for anyone, bye and have a nice day ahead!

I will give Brainliest!!! :D

Match each situation to an equation.

(You can just write the color of the equation card and the fraction in the situation, ex. Green card to 2/5) :)

Answers

Answer:

Purple to 1/4

red to 13/10

blue to 2/5

green to 1/5

Step-by-step explanation:

I think that is correct, butttt I am not postive

What is the volume of the cylinder below? 5 4 6 O A. 60 units 3 B. 967 units 3 O C. 80 units 3 D. 120 units 23​

Answers

Answer:

B. 967 units is the answer

Answer:

C

Step-by-step explanation:

Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.

Answers

Answer:

That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.

Step-by-step explanation:

I think it is statistical because each student may have a different answer not not all will be the same for example some may take public transportation, some may walk some may ride bikes or parents may drive them.

Please solve the missing parts

Answers

Answer:

34 28 37 56 34 37 28 20 43 15

6 divided by 7215 and i need help its to hard????

Answers

Answer:

If you mean 6 / 7215 it is 0.00083

but if you meant 7215 / 6 it is 1202.5

Step-by-step explanation:

The scatter plot shows the number of visitors to a beach and the high temperature for 25 days. To understand the trend of the data, does it make sense to connect all of the data points? What could you do to the graph to represent the general trend of the data? Why?

Answers

Answer:

Yes it does.

Step-by-step explanation:

I gives an estimate of what the weather is.

how many tiles of 16 cm² is needed to cover a floor dimension 8 cm by 50 cm?

A 45
B 25
C 28
D 30

(NO LINKS)​

Answers

Answer:

C 28

Step-by-step explanation:

16 tiles is enough for 28  i think cuz i can't use links

Answer:

it is C 28

Step-by-step explanation:

Find the both term of the arithmetic sequence –27, -24, -21, ...

Answers

Answer:

-18 is the ans you can calculate it

an amusment park sold 9.728$ worth of admission tickets for a seciak roller coaster at night expirement each ticket cost 38$ how many tickets were sold for the special event show your work

Answers

Answer:

  256

Step-by-step explanation:

The revenue from the sale of n tickets at $38 each is given as ...

  38n = 9728 . . . . total sales from special event tickets

Dividing by the coefficient of n gives the number of tickets:

  n = 9728/38 = 256

256 tickets were sold for the special event.

please help!!!!!!!!!!

Answers

Answer:

false true false false

factor the expression 14x+13-8x-1

Answers

Answer:

2(11x+6)

Simplify to 22x + 12

Greatest common factor is 2

2x11x = 22

2x6 = 12

(14x - 8x) + (13 - 1)
6x + 12
6(x + 2)

Please answer this as soon as possible!!

Answers

Answer:

Step-by-step explanation:Given

-3+(-5)

-3+(-5)=-3-5=-8


Observing option A.) -3+-(-5)=-3+5=2

Observing option B.)-3+5=2

Observing option C.)-5-(-3)=-5+3-2

Observing option D.)-5-(-3)=-5+3=-2

It doesn’t seem that any option is correct maybe ask your teacher show them this or something

Help help math math math

Answers

T-R
hope this helped

Answer: T-R

Step-by-step explanation:

Given the recursive formula shown, what are the first 4 terms of the sequence?

Answers

Step-by-step explanation:

Answer is option A

f(1)=3

f(2)=f(2-1)+4=f(1)+4=3+4=7

... So on

Hence the series would be 3,7,11,15,..

The required first four terms are 3,7,11,15

I hope it helped you

Answer: the answer is a

3,7,11,15 (+4 each time )

Step-by-step explanation: we are adding 4 each time .Hope it helps .

3x+4/5=7-2x what is the solution to the equation?

Answers

Answer is 31/25
Step by step solution:

In which number does the digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691?

360,281

486,732

573,674

678,832




HELP PLEASE!!!!!!!!!

Answers

Answer:

The answer is 486,732

The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.

The mean hours students reported practicing their instruments is
.

The mean absolute deviation for the data is
.

Answers

Answer:

The mean is 33 and the MAD is 6.

Step-by-step explanation:

I took it on edge and got it right. Sorry I don't have a better explanation.

The person above me is correct.

Step-by-step explanation:

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