A jar contains quarters and nickels. There are 5 fewer quarters than nickels. The
total value of the coins is $4.45. Which system of equations can be used to
determine the number of quarters, q, and the number of nickels, n?

Answers

Answer 1

Given:

In a jar, there are 5 fewer quarters than nickels.

The total value of the coins is $4.45.

To find:

The system of equations can be used to determine the number of quarters, q, and the number of nickels, n.

Solution:

Let q be the number of quarters and n be the number of nickels.

It is given that there are 5 fewer quarters than nickels.

[tex]q=n-5[/tex]           ...(i)

We know that,

1 quarter = $0.25

1 nickel = $0.05

Using these conversions, we get

q quarters = $0.25q

n nickels = $0.05n

The total value of the coins is $4.45.

[tex]0.25q+0.05n=4.45[/tex]           ...(ii)

The equations (i) and (ii) are equations of required system of equations.

Therefore, the system of equations is:

[tex]q=n-5[/tex]  

[tex]0.25q+0.05n=4.45[/tex]


Related Questions

please help me :(

I am in Great trouble:(​

Answers

Answer: (I am not a maths moderator)

x=4

Step-by-step explanation:

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l? i will give brainliest for the answer


A. (−4,−3),(−3,−6)
B. (−18,−1),(−3,0)
C. (−6,−4),(−3,−3)
D. (−2,−3),(−3,−6)

Answers

Answer:

c. (−6,−4),(−3,−3)

Step-by-step explanation:

a). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-4)

-3/ 1

= -3

b). y2 - y1 / x2 - x1

0 - (-1) / -3 - (-18)

= 1/15

c). y2 - y1 / x2 - x1

-3 - (-4) / -3 - (-6)

= 1/3

d). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-2)

3

Answer:

D

Step-by-step explanation:

ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find the slope of answer A

1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]

 2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)

Find the slope of answer B

1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer C

1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer D

1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]

 2. This answer is perpendicular to "l" because 3 is the inverse of -3.

Identify the slope of the line graphed below?

Answers

Slope of the line -2, 4

Question 42: Which equation represents the line that passes through the points
(-1, -2) and (3, 10)? *
O y = 3x + 1
O y = 3x - 1
O y = 4x + 2
O y = 4x - 2

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

first we need to find the slope

m = (y2-y1) / (x2-x1)

m = (10 - -2) / (3 - -1) = 3

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 10 = 3 ( x - 3)

y - 10 = 3x -9

y = 3x -9 + 10

y = 3x +1

Use the slope formula below (Rise Over Run)

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]

Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]

We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]

Answer

y = 3x+1

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

First: [tex]y = \frac{4}{7} x + 2[/tex]    

Second: [tex]y = -\frac{1}{7} x + 2[/tex]

Third: [tex]y = x + 2[/tex]    

Fourth: [tex]y = \frac{1}{7} x + 2[/tex]    

Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with carpet, 40 cm How much carpet does it take to cover each cube?

Answers

240 cm

Step-by-step explanation:

each side is 40 cm, a cube has 6 sides. 6×40= 240

You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What is your net pay?

Answers

Answer:

$660

Step-by-step explanation:

22*40 = 880 dollars. This is your gross pay.

Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars

We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars

Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.

Let me know if im wrong!

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

Answers

Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

please can anyone help me out!!​

Answers

Answer:

1.39 m

Step-by-step explanation:

sin 63 = x/13.5 (x = CD)

sin 52 = x/13.5 (x=AC)

take the difference between the two

URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10

using elimination method, what is the value of 38y? ​

Answers

Answer:

5x+3y=12

x-7y=10

first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y

5x+3y=12

5x-35y=10

_________

38y = -38

y = -1

to find the x value substitute to any equations it can be the 1st or 2nd

5x+3(-1)=12

x = 3

Which of the following is the measure of ZCBA?
C
39
B
A
A. 39°
B. 45°
C. 90°
D. 78°

Answers

Answer:

78

Step-by-step explanation:

answer is in above photo

A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?

Answers

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

What is trigonometric function?

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

https://brainly.com/question/22600237

#SPJ2

Find the value of x.

Answers

Answer:

x=10

Step-by-step explanation:

6(x+2)=8(x-1)

x=10

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]8(x−1)=6(x+2)[/tex]

[tex]8x−8=6(x+2)[/tex]

[tex]8x−8=6x + 12[/tex]

[tex]2x−8=12[/tex]

[tex]2x=12+8[/tex]

[tex]2x=20[/tex]

[tex]x = \frac{20}{2} [/tex]

[tex]x = 10[/tex]

Hope it is helpful....

AHHHHHHHHH PLEASE HELP T-T
I'LL MARK BRAINLIEST FOR THE BEST ANSWER!!

Answers

It’s the second option

what is the difference of the polynomials?
{m^2n^2-7}-(mn+4)

Answers

Answer:

[tex]m^{2} n^{2} - mn-11[/tex]

Step-by-step explanation:

Simplify the expression.

The pattern 96, 92, 88, 84, ________ follows the "subtract 4" rule. Study the pattern to find traits that are not obvious in the rule. Explain.

HELP ASAP

Answers

Answer:

80

Step-by-step explanation:

add from bottom to the top

The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?

Answers

F(x) = g(x) is the x- coordinate of the point where the graphs of the functions intersect. Create a table of values to find the point of intersection. The two functions intersect at the point (3,44). Therefore, the solution to the equation is x=3.

Find the value of x in The parallelogram.

Answers

Answer:

48 degrees

Step-by-step explanation:

x+132 should be equal to 180, property of a parallelogram (and same side interior angles)

180-132=48

Answer:

x = 48

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180° , so

x + 132 = 180 ( subtract 132 from both sides )

x = 48

Hi, I'm really struggling with this question, any help?
A function inputs values for x and outputs values for y. The ordered pairs below represent three points on the graph of the function. (2,4) (3,0) (5,−1)
Is the function linear? Justify your response.

Answers

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

Helppppppp me please

Answers

Given:

In [tex]\Delta QRS, \overline{QR}\cong \overline{SQ}[/tex] and [tex]m\angle Q=114^\circ[/tex].

To find:

The [tex]m\angle S[/tex].

Solution:

In [tex]\Delta QRS[/tex],

[tex]\overline{QR}\cong \overline{SQ}[/tex]

It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.

[tex]\angle R\cong \angle S[/tex]      [Base angles of isosceles triangle QRS]

[tex]m\angle R=m\angle S[/tex]            ...(i)

In [tex]\Delta QRS[/tex],

[tex]m\angle Q+m\angle R+m\angle S=180^\circ[/tex]

[tex]m\angle Q+m\angle S+m\angle S=180^\circ[/tex]        [Using (i)]

[tex]114^\circ+2m\angle S=180^\circ[/tex]

[tex]2m\angle S=180^\circ-114^\circ[/tex]

[tex]2m\angle S=66^\circ[/tex]

Divide both sides by 2.

[tex]m\angle S=\dfrac{66^\circ}{2}[/tex]

[tex]m\angle S=33^\circ[/tex]

Therefore, the [tex]m\angle S[/tex] is 33 degrees.

need help finding the value of f (7)

Answers

Answer:

f(7) = -4

Step-by-step explanation:

f(7) means f(x) when x = 7. The x is replaced with 7.  

So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4  

Put in another way:

f(x) = 3 - x

f(7) = 3 - 7

f(7) = -4

Pls help I need this

Answers

Answer:

what you need help in we see nothing

1.) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2.) Commonly referred to as the average of all values.
3.) Middle value in the set of data arranged in increasing or decreasing order.
4.) Contains two modes.
5.) Most frequently occurring score.
pls answer what are these things called
I'll give you brainiest​

Answers

Answer: The median is defined the measure of the central value when arranged in ascending or descending order of magnitude.An average is a single number that represents the “middle” value of all the numbers in a list or set. There are three different types of average. These are called the mean, the median, and the mode.When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data. Mean, median and mode are the representative values of a group of observations. They are also called the measures of central tendency of the data.If there are two numbers that appear most often (and the same number of times) then the data has two modes. This is called bimodal. If there are more than 2 then the data would be called multimodal. If all the numbers appear the same number of times, then the data set has no modes.modeThe median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers.

In circle P, BC=24 ft.
What is the length of arc AC?

Answers

the length of arc AC = 30* BC/2= 30*12=360
AC = 360

Given a circle with radius 4 cm, calculate (use π=3,14) the circumference, rounding off to two decimal places

Answers

Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid

I DONT UNDERSTAND THIS I NEED HELP

Answers

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

HELPPPPPPP!!!!! SOSOSOOSOOSSSS

Answers

I’m pretty sure it the 3rd one

Sorry if I’m wrong

Have a nice day :)

3x-4=4 What is the value of X ​

Answers

Answer:

3x-4=4

3x=8

x=8/3

hope this helps

have a good day :)

Step-by-step explanation:

The answer is gonna be X= 8/3


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

area =length× width

32 =length×4.

length=8 feet

a) Divide rs 21000 between Nisha and nishan so that Nisha gets double than nishan.​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Let the nisha be x and nishan be y. Your statement is x=2y.

x+y=21000

2y+y=21000

3y=21000

y=21000/3

y=7000

The amount of money nishan got=7000

The amount of money nisha got=2y=7000 ×2=14000

hope this help,have a great day!!

~Pinky~

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