Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
6th grade math i mark as brainliest
just add you the numbers and you will get the answer
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence
Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
Please help me I’m begging you, ignore my answer unless I’m right. I don’t know how to do this please help
Answer:
What is the question?
Step-by-step explanation:
can you please help me with this
Answer:
Dot plot
Step-by-step explanation:
Each dot on on 0.84 represents each plane. 5 planes had a average cruising speed of 0.84.
Solve the Proportion: 3/8 = x/12
x = 9/2
Get variable on one side of equation and solve"
x/12 = 3/8
x = (3/8)(12)
x = 9/2
What is the least amount of additional money Sofia can spend to get the sushi they need?
Answer:
$
Step-by-step explanation:
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
==========================================
Work Shown:
c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c
We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35
In other words, if you increase the price by 35%, then the new price is 135% of its old one
new price = 135% of old price
new price = 1.35*(old price)
a dozen roses costs $21 at this rate, how much would you expect for four roses
Answer:
$7
Step-by-step explanation:
Divide 21 by 12 which equals 1.75. Multiply by 4 and it's 7.
The cost of four roses is $7.
Given that, a dozen roses costs $21.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
We know that, in one dozen there will be 12 roses.
Now, cost of one rose = 21/12
= $1.75
So, cost of 4 roses = 4×1.75
= $7
Therefore, the cost of four roses is $7.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
Solve these equations as a ordered pair
Y= 2x-3
Y= -x
6th grade math i mark as brainliest
Answer:
138.8 is the answer
Step-by-step explanation:
i hoped it helped
Answer:
138.8
Step-by-step explanation:
214.8-76=138.8
hope u get it right
have a great day
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answer:
profit 40 dollars
Step-by-step explanation:
the coffee pub has cans of coffee that weigh 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. what is the total weight of 8 1/2 cans ? show your work
Final Answer: [tex]27\frac{5}{8}[/tex] pounds
Final Answer Reason: The total weight of [tex]8\frac{1}{2}[/tex] cans would be [tex]27\frac{5}{8}[/tex] pounds
Steps/Reasons/Explanation:
We'll need to find the total weight of [tex]8\frac{1}{2}[/tex] cans, so we would need to multiply [tex]3\frac{1}{4}[/tex] cans by [tex]8\frac{1}{2}[/tex] cans. We are solving for the total weight of [tex]8\frac{1}{2}[/tex] cans.
Question: The coffee pub has cans of coffee that weigh [tex]3\frac{1}{4}[/tex] pounds each. The pub has [tex]8\frac{1}{2}[/tex] cans of coffee left. What is the total weight of [tex]8\frac{1}{2}[/tex] cans?
Solve For: The total weight of [tex]8\frac{1}{2}[/tex] cans.
Steps: Multiply to find total weight of [tex]8\frac{1}{2}[/tex] cans.
[tex]3\frac{1}{4}[/tex] × [tex]8\frac{1}{2}[/tex]
= [tex]\frac{13}{4}[/tex] × [tex]\frac{17}{2}[/tex]
= [tex]\frac{221}{8}[/tex]
= [tex]27\frac{5}{8}[/tex]
~I hope I helped you :)~
Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
without any food left over, what is the greatest number of plates Tanner can prepare?
Answer:
4
Step-by-step explanation:
First, we find the greatest common factor of 36 and 16.
36 = 2^2 * 3^2
16 = 2^4
GCF = 2^2 = 4
He can make 4 plates.
Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.
[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]
What is 7(9n − 3) − 7n
In order please
simply
Answer:
n= 3/8
Step-by-step explanation:
63n -21 -7n
63n - 7n = 21
56n = 21
n= 3/8 or 0.375
Answer: 56n-21
Step-by-step explanation:
7(9n-3)-7n Multiply parenthesis
63n-21-7n
SUBTRACT 63n-7n- 56n
Answer is: 56n-21
We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.
what is the given amount converted to the given units 144 ft; inches
Final Answer: [tex]1728[/tex] inches
Steps/Reasons/Explanation:
Question: What is the given amount converted to the given units 144 ft; inches?
Formula to convert feet to inches: Multiply the length value by 12.
Steps: Multiply 144 by 12
[tex]144[/tex] × [tex]12[/tex] = [tex]1728[/tex] inches
~I hope I helped you :)~
Circle D was dilated to form circle D prime. The diameter of circle D is 5 units and the diameter of circle D prime is 15 units. What is the relationship between the areas of circle D and circle D prime?
Answer:
A' = 9AStep-by-step explanation:
Area formula:
A = πd²/4Area of circle D:
A = π(5²)/4= 25/4πArea of circle D'
A' = π(15²)/4 = 9*25/4π = 9ARequired relationship:
A' = 9AReview my example on how to find the rate of change for a given set of data. Let (x, y) = (11, 12) and (x', y') = (15, 16). The formula to find the rate of change for the two order pairs is: (y' - y) / (x' - x) = rate of change, so (16 - 12) / (15 - 11) = 4/4 = 1, therefore, the rate of change is 1 *
I would have labeled the points as
(x1,y1) = (11,12)
(x2,y2) = (15,16)
then used the formula
m = (y2-y1)/(x2-x1)
However, your idea works as well. I don't see any errors with your steps. Nice work.
What is 149/15 as a mixed number?
Answer:
its an improper
mixed : 9 14/15
Step-by-step explanation:
its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)
Answer:
the answer is 9 14/15
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:
149 / 15 = 9.9333 = 9
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
149 - (15 x 9) = 14
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:
Last one yall pls help me!
Answer:
8. 5/6
9. 6.25 or 6 1/4
10. 14.4 Fish
Step-by-step explanation:
8. Reduce the fraction. (20/24) You can divide both the numerator and denominator by 4.
9. Divide 75 by 12
10. Divide 72 by 5
Match the solution set of each of the following inequalities with its graph
Answer:
4
1
3
2
5
Step-by-step explanation:
An open circle means less than/greater than, while a closed circle means less than or equal to/greater than or equal to
Please help me please!
Answer:
(2) 19
Step-by-step explanation:
[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]please help me 56 points
Answer:
Are you trying to solve for x?? orrr? what
Step-by-step explanation:
I can help you just gotta be specific
Is a software salesmanLet y represent his total say in )Let the of copies of History is sellsSuppose and y are related by the equation y = 2200 + 70x Answer the questions below. Note that a change can be an increase or decrease . For
Answer:
The answer is "70 and 2200".
Step-by-step explanation:
Please find the complete question in the attached file.
The total payment = y
The number of copies to be sold = x
[tex]\to y = 70x + 2200[/tex]
In part (a):
Change of pay = discrepancies between (x+1) sale and (x) sale of copies for every copy sold
[tex]=[70(x+1) + 2200] - [70x + 2200] \\\\= 70x + 70 + 2200 - 70x - 2200\\\\= 70\\\\[/tex]
In part (b) :
[tex]\to y = 70x+ 2200[/tex]
when [tex]x = 0[/tex]
[tex]\to y = 70(0) + 2200\\\\[/tex]
[tex]=0+2200\\\\=2200[/tex]
Selena is baking chocolate chip cookies. The recipe calls for 2 1/3 cups of semi-sweet chocolate chips. If she has already put in 1 1/2 cups into the batter , how many more cups of chocolate chips should be added to the batter?
Answer:
5/6
Step-by-step explanation:
If you minus 1 1/2 from 2 1/3 you get 5/6 left.
Please mark brainliest.
5/6 cups of more chocolate chips should be added to the batter.
Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.
What is a fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]
= 7/3 - 3/2
= 14/6 - 9/6
= (14-9)/6
= 5/6
Therefore, 5/6 cups of more chocolate chips should be added to the batter.
To learn more about the fractions visit:
https://brainly.com/question/10354322.
#SPJ5
Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?
Answer:
270
Step-by-step explanation:
if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it into fifths an u get 90 then multiply 90 by 3 since its thirds an you get 270
Answer:
600
Step-by-step explanation:
20 divided by 1/2 is 40
40 divided by 1/5 is 200
200 divided by 1/3 is 600
Simplify 5c(3c^2)^3.
Answer:
5c(3c2)3
=135c7
Step-by-step explanation:
Answer:
135c ^3 i just took the test
Step-by-step explanation:
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
What is the distance between point A and point B? Round to nearest tenth.
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-4, 2)
Point B (8, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]