Answer:
A: 1/26
B: 1/50
Step-by-step explanation:
used a calc
4 liters of 2% milk contains 8% cholesterol. A container of skim milk contains 2% cholesterol. How many liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol?
To solve this problem, we can set up an equation based on the amount of cholesterol in the mixture.
Let's assume that x liters of skim milk need to be added to the 4 liters of 2% milk.
The amount of cholesterol in the 4 liters of 2% milk is 8% of 4 liters, which can be calculated as (8/100) * 4 = 0.32 liters of cholesterol.
The amount of cholesterol in the x liters of skim milk is 2% of x liters, which can be calculated as (2/100) * x = 0.02x liters of cholesterol.
The total amount of cholesterol in the mixture is the sum of the cholesterol in the 2% milk and the skim milk, which should be equal to 4% of the total volume of the mixture. So, we have:
0.32 + 0.02x = (4/100) * (4 + x)
Simplifying the equation:
0.32 + 0.02x = 0.04(4 + x)
0.32 + 0.02x = 0.16 + 0.04x
0.02x - 0.04x = 0.16 - 0.32
-0.02x = -0.16
Dividing both sides by -0.02:
x = (-0.16) / (-0.02)
x = 8
Therefore, 8 liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol.
To solve this problem, we can use the following equation:
4+x4×8+x×2=4
This equation represents the ratio of the total cholesterol to the total volume of the mixture. The numerator is the sum of the cholesterol from the 2% milk and the skim milk, and the denominator is the sum of the volumes of the 2% milk and the skim milk. The equation is equal to 4 because we want the mixture to have 4% cholesterol.
To find x, we can simplify and solve for x:
4+x32+2x=4
32+2x=16+4x
16=2x
x=8
Therefore, we need to add 8 liters of skim milk to the 4 liters of 2% milk to create a mixture with 4% cholesterol.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Solve the equation r = 1/(x-1) for x in terms of r. In other words, manipulate the equation until you have x equal to an expression with r's in it but no x's.
Answer:
\(x=\frac{1}{r} +1\)
Step-by-step explanation:
\(r=\frac{1}{x-1}\)
\(r(x-1)=1\)
\(x-1=\frac{1}{r}\)
\(x=\frac{1}{r} +1\)
Answer:
\(x=\dfrac{1+r}{r}\)
Step-by-step explanation:
Given equation:
\(r=\dfrac{1}{(x-1)}\)
Multiply both sides by (x - 1):
\(\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)\)
\(\implies r(x-1)=1\)
Expand the brackets:
\(\implies rx-r=1\)
Add r to both sides:
\(\implies rx-r+r=1+r\)
\(\implies rx=1+r\)
Divide both sides by r:
\(\implies \dfrac{rx}{r}=\dfrac{1+r}{r}\)
\(\implies x=\dfrac{1+r}{r}\)
Subtract: Four hundred twenty eight from two hundred sixty three.
help
Is Figure BBB a scale copy of Figure AAA?
The ratios of corresponding side lengths are not equal.
Therefore, Figure B is not a scale copy of Figure A.
Here, we have to determine if Figure B is a scale copy of Figure A, we need to compare the corresponding sides of the two triangles and check if the ratios of their side lengths are equal.
Figure A has side lengths: 3.6, 2, and 5.
Figure B has side lengths: 8.9, 4, and 11.3.
Let's check if the ratios of corresponding side lengths are equal:
Ratio of corresponding side lengths of A and B:
3.6 / 8.9 ≈ 0.4045
2 / 4 = 0.5
5 / 11.3 ≈ 0.4425
The ratios of corresponding side lengths are not equal.
Therefore, Figure B is not a scale copy of Figure A.
In order for two triangles to be scale copies of each other, all corresponding side lengths must have the same ratio.
Since the ratios of side lengths in Figure A and Figure B are not equal, they are not scale copies of each other.
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1) At a restaurant, Mike and his three friends decided to divide the bill evenly. If the total bill was $51.24, how mush did each person pay?
Write and solve an equation for the above situation. Use "b" as the variable
2) How many packages of diapers can you buy with $40 if one package costs $8?
Write and solve an equation for the above situation. Use "p" as the variable
2(4x-3)-8=4+2x please solve this linear equation I need help
Answer:
x = 3
Step-by-step explanation:
Perform the indicated multiplication. We get
8x - 6 - 8 = 4 + 2x
Combining the x terms results in:
6x - 14 = 4
Isolate x by adding 14 to both sides:
6x = 18
Find x by dividing both sides by 6:
x = 18/6 = 3
x = 3
The solution or the value of x for the given linear equation 2(4x-3)-8=4+2x is x = 3.
Given that:
2(4x - 3) - 8 = 4 + 2x
Use the distributive property on the left-hand side.
(2 × 4x - 2 × 3) - 8 = 4 + 2x
(8x - 6) - 8 = 4 + 2x
Using the associative property:
8x + (-6 - 8) = 4 + 2x
8x - 14 = 4 + 2x
Subtract both sides by 2x.
8x - 2x - 14 = 4
6x - 14 = 4
Add 14 on both sides.
6x = 18
Divide both sides by 6.
x = 3
Hence, the value of x is 3.
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i’ll give brainliest i’m in middle school
help
kaylie and her family have decided to go on a mountain biking trip. use the graph tp draw a graph that represents their trip.
In one hour they rode one mile up the mountain. the next two hours they rode an additional three miles up the mountain. next, they stopped to have a lunch for an half hour. after lunch they rode two more miles up the mountain for two hours. finally they rode back to the bottom of the mountain in two hours.
Answer:
1234567891011121314151617
Answer:
where is the question?
Step-by-step explanation:
pls help......................................................
Answer:
The scale is \(\frac{1}{3}\)
Step-by-step explanation:
If you take each side from figure A separately and multiply it by \(\frac{1}{3}\), you will get the correct corresponding value in figure B.
If a women making $25 an hour gets a 10% raise, how much will she now make in an 8-hour work day?
Answer:
$220
Step-by-step explanation:
She gets $220 in an 8 hour work day.
Which is the output for the following linear function when the input is
-7?
y-x=2y+1
Options:
6
12
-13
8
Answer:
A) 6
Step-by-step explanation:
\(y-x=2y+1\\y-(-7)=2y+1\\y+7=2y+1\\7=y+1\\6=y\)
The output is y=6 when the input is x=-7
The latitude on a map that represents x-axis is the_____________
(not multiple choice)
What is the slope of this graph.
MATHEMATICAL CONNECTIONS Write a polynomial that represents the area of the square.
An area model. It has x, 7, and x along the length and x, 7, and x along the width.
Answer:
4x^2+28x+49
Step-by-step explanation:
Answer:
Height = -3 Width = -7...
Step-by-step explanation: trustme
Divide. Reduce the answer to lowest terms.
5 2/3÷ 3 1/9
****NEED AS A FRACTION OR MIXED NUMBER NOT DECIMALS****
I'll give brainlest for THE RIGHT answer.
HELP
Find the value of x please
Answer:
I’m pretty sure it’s A
Step-by-step explanation:
It looks like an acute angle. Acute angels are less than 90 degrees. If you replace x with 3 it will be 30. 30 + 30 is less than 90 so that works. The others don’t
20POINTS
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8?
Answer:
s and r
Step-by-step explanation:
The required angle is the corresponding angle of angle 8 which are ∠4, ∠12, and ∠16.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Parallel lines r and s are cut by two transversals, parallel lines t and u.
And 16 angles are formed
Now,
The angle formed by r and t, = 1, 2, 3, 4
The angle formed by s and t, = 5, 6, 7, 8
The angle formed by s and u, = 9, 10, 11, 12
The angle formed by r and,u = 13, 14, 15, 16
Thus, the required angle is the corresponding angle of angle 8 which are ∠4, ∠12, and ∠16.
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PLEASE HELP!! help plsss Victoria and Jennifer walk at a different averagr speed. Victoris walks at an average speed of 1 1/5 miles in 1/2 hour. Jennifer walks st sn average speed of 2/3 mile in 1/4 hour. who is walking faster? and by how much, in miles per hour?
A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory made aquariums that require a total of
12,600 8 of water, how many aquariums did the factory make?
Answer:
The factory made about 382 aquariums:
Step-by-step explanation:
Answer:
382
Step-by-step explanation:
Hello. This is a very quick question, that requires little effort. I am currently working on my math assignment, and for the project I have to measure five different people. Unfortunately, I don't have enough people to measure. You will get 100 points just for answering this :) But if you do a troll answer, I'll report you :)
"Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person."
My foot is 17 inches and my forearm is 43 inches
Priya said, “It takes more cubes with edge length ⅖ inch than cubes with edge length ⅕ inch to pack the prism.” Do you agree with Priya’s statement? Explain or show your reasoning.
V=A times B times C that is the eqatuion
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
Please solve QUICKLY
Answer:
C
Step-by-step explanation:
It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.
Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represest the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water?
It will take 50 minutes for the two containers to have the same amount of water.
Based on the information given, the equation to solve the question will be:
800 - 6m = 1000 - 10m
Collect like terms
-6m + 10m = 1000 - 800
4m = 200
Divide both side by 4
4m/4 = 200/4
m = 50
Therefore, it'll take 50 minutes.
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A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.
Answer: the zeros are at (6,0) and (12,0) where no profit is made.
option D
Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.
in this scenario, there is no y increase, which means 0 profit.
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️