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]
please help me :(
I am in Great trouble:(
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)
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?
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
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+1PLEASE HELP FAST!!!!!!!!!
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?
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?
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)
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!!
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?
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°
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?
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.
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!!
what is the difference of the polynomials?
{m^2n^2-7}-(mn+4)
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
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)?
Find the value of x in The parallelogram.
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.
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
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)
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
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
In circle P, BC=24 ft.
What is the length of arc AC?
Given a circle with radius 4 cm, calculate (use π=3,14) the circumference, rounding off to two decimal places
Answer:
goodgydudufjdjdjdjdururirurur7rigjfifut
Step-by-step explanation:
goodghdhfudjdjsdhydydbsjshhdvrjeiid
I DONT UNDERSTAND THIS I NEED HELP
Answer:
It is -4 :)
Step-by-step explanation:
I just did this lol
HELPPPPPPP!!!!! SOSOSOOSOOSSSS
3x-4=4 What is the value of X
Answer:
3x-4=4
3x=8
x=8/3
hope this helps
have a good day :)
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
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.
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~