A production line produces 34 of a mile of yarn every 14 of an hour. What is the unit rate of miles of yarn per hour?
The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.
Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.
Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.
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I-Ready find the measure of angle RST
Answer:
Step-by-step explanation:
You need an image for problem to be solved, please repost it with a image, so it can be solved
Which one of the quotients is correct?
Answer:
B
Step-by-step explanation:
B is correct 24r11 one ................
If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.
Steps are in the attachment.
____
RainbowSalt2222 ☔
there are 86,400 frames of animation in 1 hour of anime. how many frames are there per second? there are 3600 seconds in an hour
Answer:
Step-by-step explanation:
86400/3600=24 fps
Answer:
There are 24 frames per second.
Step-by-step explanation:
Hi there!
We're given:
1 hour ⇒ 86,400 frames
1 hour ⇒ 3600 seconds
To find the number of frames per second, divide 86,400 by 3600 seconds:
86,400 ÷ 3600 = 24
I hope this helps!
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?
A) $4.50
B) $9.00
C) $27.00
D)$38.00
Answer:
$9
Step-by-step explanation:
(2 movies returned late)
3 days late
$1.50 per day late fee
equaling $4.50 per movie
TOTALING $9
TOTALING $9.00
Answer:
B) $9.00Step-by-step explanation:
Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.
The amount to be paid:
3*2*$1.5 = $9Correct choice is B
3 less than the quotient of a number and 5 is -7
Answer: The number is -20
Step-by-step explanation:
Take each part of the sentence and write what it is telling us:
3 less than the quotient of a number and 5 is -7
The quotient of a number and 5 is (X/5), where X is the "number."
3 less than is (X/5) - 3
is -7 is = -7
Therefore:
3 less than the quotient of a number and 5 is -7 is: (X/5) - 3 = -7
---
(X/5) - 3 = -7
(X/5) = -4
X = -20
===
See if this works:
3 less than the quotient of -20 and 5 is -7
(-20/5) = -4
Three kless than -4 is -7: It works
Graph the system of linear equations.
-1/2y = 4x + 5 and y = 2x +2.
Answer:
The graph is shown below.
Step-by-step explanation:
-1/2y = 4x + 5
This is the same as y = -2x - 2.5
The graph is shown below
Please answer quickly
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=x+a/b
g(x)=cx-d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Task 2
Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation
a√x+b+c=d
Part 2. Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.
Part 3. Explain why the first equation has an extraneous solution and the second does not.
f(x)=(x+a)/b
or bf(x)=x+a
let f(x)=y
by=x+a
flip x and y
bx=y+a
or y=bx-a
or f^{-1}(x)=bx-a
also g(x) is inverse of f(x)
bx-a=cx-d
so b=c,a=d
again let g(x)=y
y=cx-d
flip x and y
x=cy-d
cy=x+d
y=(x+d)/c
or g^{-1}(x)=(x+d)/c
also f(x) is inverse of g(x)
so (x+a)/b=(x+d)/c
so a=d,b=c
so in either case a=d,b=c
take b=c=1
a=d=2
f(x)=(x+2)/1=x+2
g(x)=1x-2=x-2
so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0
g(x) with y-intercept -2 and slope 0
if we take b=c=2,a=d=3
f(x)=(x+3)/2=x/2+3/2
g(x)=2x-3
here f(x) is of slope 1/2 and y-intercept 3/2
g(x) is of slope 2 and y intercept -3
part 3.
f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d
An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.
Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2: g(x) = 3x - 2, the inverse.
Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.
What is inverse function?
An inverse function in mathematics exists function which "reverses" the another function.
TASK 1
Part 1
Let y = f(x) = (x + a) / b
x = g(y) = by-a = cy-d,
so c = b and d = a.
Let d = a = 2 and c = b = 3
f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2
y = f(x) = (x+2) / 3
3y = x+2
x = 3y-2 = g(y)
so g(x) = 3x - 2, the inverse.
Part 3
g(f(x)) = 3
f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,
so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.
x -2 -1 0 1 2
f(x) 0 1/3 2/3 1 4/3
g(x) -8 -5 -2 1 4
Part 4
The graph is given below.
TASK 2
Part 1
(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5
(b) Let a=-1, b=2, c=3, d=4
(a) Multiply both sides by
[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]
[tex]$ x-36+30=-5 \sqrt{x }[/tex]
[tex]$ x-6=-5 \sqrt{x}$[/tex]
Square both sides:
[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].
Part 2
(a) So x=36 or 1 (apparently).
Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.
So x=36 is an extraneous solution.
substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.
(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.
Substitute x=1 in the original equation: -1+2+3=4 is true.
So x = 1 is the solution.
Part 3
(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].
(b) the solution was simpler and there was no ambiguity.
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2) Given the sequence 5, -2, -9, ...
Find the first term:
Is the sequence arithmetic?
Find the common difference d:
Find the general term an:
Find the 20th term:
Find the sum of the first 50 terms:
Answer:
Find the first term:
The first term is 5
Is the sequence arithmetic?
Yes because (5 -7 = -2) (-2 - 7 = -9)
Find the common difference d:
The common difference is -7
Find the general term an:
[tex]a_{n}[/tex] = (first term) + ((nth term) -1) · (common difference)
[tex]a_{n}[/tex] = 5 + (n - 1) · (-7)
Find the 20th term:
[tex]a_{20}[/tex] = 5 + (20 - 1) · (-7)
= -128
Find the sum of the first 50 terms:
[tex]a_{50}[/tex] = 5 + (50 - 1) · (-7)
= -338
Robert runs 3 times a week for 12 weeks. Each run is 4 miles. How many total miles will he run during 12 weeks?
Answer:
144
Step-by-step explanation:
first you gotta do 3x4 which is 12 then 12x12. and then you get 144.
Robert will run a total of 144 miles during the 12 weeks.
Given:
Robert runs 3 times a week for 12 weeks.
So, total number of runs will be:
= 3 runs/week * 12 weeks
= 36 runs
Since each run is 4 miles, multiply the total number of runs by the distance per run:
= 36 runs * 4 miles/run
= 144 miles
Therefore, Robert will run a total of 144 miles.
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help . This is rise and run .
Answer:
Rise 4 and runs -10
Step-by-step explanation:
So the slope is 4/-10
Please help me please help meeee
Answer:
for the first one the answer is 65.94 and for the second one its 50.27
Step-by-step explanation:
to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer
A triangle has two sides of length 7 and 9. What is the largest possible whole-number length for the third side?
Answer:
15
Step-by-step explanation:
the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.
7 + 9 = 16
16 must be more than the third side
15 is the largest whole number less than 16
Plzzzz help meeeee plzzzz helppmmmmeee
What are the values of m and n
Answer:
[tex]m=20°; n=45°[/tex]
Step-by-step explanation:
Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]
b) Now, let’s try “what if”. What if you had medical bills for $10,000 for a minor surgery? What would each of the insurance policies pay if you had not yet paid any deductible? Remember that 20% is your part (coinsurance) so the insurer’s percent is 80% for the first formula. Show how you are getting the answer.
Formulas:
Insurer’s part of Medical Bill = (Bill – deductible) (80%)
Your part of medical bill = Total bill – Insurers part
• AAA+
Insurer’s Part of bill =
Your part of bill =
• Health Today
Insurer’s Part of bill =
Your part of bill =
• Best Insurance
Insurer’s Part of bill =
Your part of bill =
The insurer's part of the medical bill is 80 percent of the medical bill after deductible
The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)
Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.
Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.
Depending on your agreement with the insurer there could also be a copay on the insurance policy.
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Simplify: 4x(x^2 – 3x + 1)
A)4x^3 - 7x^2 +5
B)4x^2 – 12x^2 + 4
C) 4x^3 - 12x^2 + 4x
D)4x^2 - 12x + 1
Answer:
its c
Step-by-step explanation:
4x*x^2= 4x^3
-3x*4x =-12x^2
1*4x = 4x
= 4x^3 -12x^2 + 4x
Find the measures of the interior angles.
what is angle C
expand and simplify a(a+2)
Answer:
a²+2a
Step-by-step explanation:
multiple a with a and 2
4) Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18 + 42
Answer:
GCF = 6, Sum = 60.
Step-by-step explanation:
Substitute 6 into our distribution equation:
6(3) + 6(7) = (18 + 42) = 60
Check:
6(3)+6(7) = 60.
(This is an easier way to find the GCF, by substitution)
Checking Continued:
18: 1, 2, 3, 6, 9, 18
42: 1, 2, 3, 6, 7, 14, 21, 42
6 is the GCF.
Find the area of the polygon below. ( and please show work)
Answer:
89.6875
Step-by-step explanation:
you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)
what is 1/5 x 2/4 as a fraction
Answer:
2/20
Step-by-step explanation:
Answer: 7/10
Step-by-step explanation:
help me pleaseeeeeeeee
Answer:
a) 84m
b) 86cm
Step-by-step explanation:
a) 8316/99=84
You take to whole and divide it by the length to get the width.
b) 288-58-58=172/2=86
You take the width and subtract it from the perimeter twice because there are two sides. then take that answer and divide it by two to get what your last two sides equal. This gives you the length.
will give brainliest no files.
Answer: it don't show the picture for me but can i plz have brainliest i never had it
Step-by-step explanation:
How to solve this? If u can ols sho step by step
for example, the line is y = ax + b (1)
we have the line go through the point ( 0 ; 3 ) so y = 3 (2)
we also have the line go through the point ( 0 ; 5 ) so x = 5 (3)
And look at the picture we also have b= 3 (4)
Put (2)(3)(4) in (1) we gonna have a= -3/5
so the line gonna be y = -3/5x + 3
P/s: if you don't understand, you can try this:
we have the line go through the point ( 0 ; 3 ) so y = 3
we also have the line go through the point ( 0 ; 5 ) so x = 5
so put it in the answer :
+) -3x -5y = 15
when x = 0 => y = -3 but y = 3 so it's wrong
+) y = -3/5x + 3
when x = 0 => y = 3
when y = 0 => x = 5 it's right :))
+) 3x + 5y = 15
when x = 0
when y = 0 => x = 5 it's right :)) but write improperly :'))
+) y = -3/5 ( x - 5 )
when x = 0 => y = 3
when y = 0 => x = 5 it's right :)) but write improperly :'))
so we choose y = -3/5x + 3
ok done. Thank to me :>
Find the equation of the line perpendicular to the given line and passing through the given point.
y = -4x + 2;(-1,4)
Step-by-step explanation:
hope it helps you.......
There are 6 circles and 9 triangles. What is the simplest ratio of circles to total
shapes?
Answer:
2:5
Step-by-step explanation:
6 circles : 9 triangles.
Solving for ratio of circles and total
6 circles: 15 shapes ( added 6 and 9 )
thus this can reduce to
2:5 <-- by 3 ( 3*2=6) and (3*5=15)
Leave a comment if this doesn't make sense ;)
please answer the all questions
Answer:
e)
a = 58°
alternate angles
b = a = 58°
Triangle is scalene (indicated by the 2 dashes on the triangle)
d = 180 - (58*2)
d = 64°
c = 58°
use either 180- (64+58)
which is angles in a straight line = 180 total
or
alternate angles
b = c = 58
f) x = 50°
alternate angles
y+z = 180-50
y+z = 130
we know that y = z
scalene triangle indicated by arrows (both bases are same angle)
so 130/2 = y and z
65 = y
65 = z
g) x = 55
alternate angles
on the diagram take the triangle which has x and y
you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle
180-95 = 85
180 - (85+55) = y
y = 40
z = y = 40
alternate angles
h)
180-78 = 102
beside angle a would be the angle 2a
alternate angles (look at the photo)
180 = 102 + a + 2a
180 = 3a + 102
78 = 3a
a = 26°
2a = 52
b = 26
use either alternate angles
a = b
or total angles in a triangle = 180°
102 + b + 56 = 180
b = 180-52-102
Using a riding lawn mower, Shane, the landscaper of a large park, can mow the lawn in 8 hours. With a small mower, her assistant Matt needs 14 hours to mow the same lawn. If Shane and Matt work together mowing the lawn, how long will it take them to mow the lawn?
Answer:
1 hour and 45 minutes
Step-by-step explanation:
I know this because you just need to divide the amount of hours that shane did it and the amount of time matt did it and then it will give you your answer
WORTH 50 POINTS.
What is the domain of the function shown on the graph below?