Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
The system of linear equations which could be used to find the amount in litres of drinks A and B are :
(0.2a + 0.15b) = 100.5a - b = 30Let :
Amount of drink A = a
Amount of drink B = b
Percentage of real fruit juice for drink A = 20%
Percentage of real fruit juice for drink B = 15%
Total litres made = 100.5
(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres
(0.2a + 0.15b) = 100.5 - - - - - (1)The difference between the amount of drink A and B made :
Drink A is 30 liters more than B :
a - b = 30 - - - - - (2)The system of equations required to determine the amount of drink A and B made are :
(0.2a + 0.15b) = 100.5a - b = 30Learn more : https://brainly.com/question/20379472?referrer=searchResults
3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6
Answer:
x=0.8
x=6
Step-by-step explanation:
(5x-4)(x-6)=0
1)5x-4=0
2)x-6=0
1)5x=4
x=4/5 or 0.8
2)x=6
Number the answer like, in the blank type in the answer. Pls help ignore my answers unless correct
1. ____
2____
3______
Answer:
1. 32 2. You got that one correct 3. 1 5/34
Step-by-step explanation:
1. 24 / 3/4
3/4 = .75
24/ .75 = 32
3. Turn into improper fraction
13/4 / 17/6
= 1 5/34
Hope this helps dude
I WILL GIVE BRAINLEST!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSS SHOW YOUR WORK PLSSSS
The product of a number below - 7/10 is 2/10
what is the number?
-7/20
7/20
- 5/7
5/7
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
This question can be written algebraically as [tex]-\frac{7}{10} x=\frac{1}{2}[/tex]
And the image below shows step-by-step on how to solve it
Hope this helps! :)
Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?
Answer: Because people talk about important information
Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.
Use your knowledge of similar triangles to solve for x
9514 1404 393
Answer:
x = 10 2/3
Step-by-step explanation:
The ratios of corresponding sides are the same, so we have ...
x/8 = 8/6
x = 8·(8/6) = 64/6
x = 10 2/3
If the perimeter of the surface of a cube is 12 metre,
then what is the volume of it?
Answer:
A cube is a solid box whose every surface is a square of same area. ... So the volume of the box will be equal to the volume of 8 unit cubes together. ... The number of cubes are 12, its volume is 12 cu cm. 3. ... When we draw a flat shape on a paper, it occupies a certain ... It's unit is square centimeters or square meters etc.
Step-by-step explanation:
If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?
Answer:
D: AT = OG
Step-by-step explanation:
I just took this quiz so that's how I know
Carol observes that all of the juniors are taking physics this year. She concludes that when she is a junior, she will take physics for her science class. What kind of reasoning is Carol using to from her conjecture?
A.) Deductive Reasoning
B.) Inductive Reasoning
Answer:
The answer is B.) Inductive Reasoning
Step-by-step explanation:
Deductive reasoning requires one to start with a few general ideas, called premises, and apply them to a specific situation. Recognized rules, laws, theories, and other widely accepted truths are used to prove that a conclusion is right.
Answer:
Inductive Reasoning
Step-by-step explanation:
Carol’s conjecture is based on her observations.
pls help ill give brainly
A soup can is 2 in. tall and has a diameter of 8 in.
What is the amount of metal used to make the can?
16π in²
24π in²
48π in²
160π in²
Answer:
the answer is 48π in²
explanation:
i took the quiz
Which is an integer
Answer:
6.2 is an integer
Step-by-step explanation:
Answer
6.2
Step-by-step explanation:
please help me i give 5* along with thanks for quality answer
Answer:
The total number of faces in a pyramid= 1+n
HELP WILL MARK BRAINLIESTTT!!!!
Answer:
Real= 3 . Imaginary = 3.6
Step-by-step explanation:
mark me brainliest plz
A local hamburger shop sold a combined total of 488 hamburgers and cheeseburgers on Friday. There were 62 fewer cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?
9514 1404 393
Answer:
275
Step-by-step explanation:
Let h represent the number of hamburgers sold. Then the number of cheeseburgers sold is h-62, and the combined total is ...
hamburgers + cheeseburgers = combined total
h + (h -62) = 488
2h = 550 . . . . . . . . add 62, collect terms
h = 275 . . . . . . . . . .divide by 2
275 hamburgers were sold on Friday.
Answer please, be sure your right or don’t answer at all.
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
Solve. x =
A
41°
B.
C
Plz help me fast
Answer:x= 49°
Step-by-step explanation:
Help please!!!!!! HELP
Answer:
number 1
Step-by-step explanation:
PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms
Answer: 596 + 860 = 1456
Why do scientists use models?
A)
Models are unreliable.
B)
Models waste natural resources.
Models predict not just describe events.
Models are based on scientific laws and principals so they are more
reliable than the real thing.
D)
Simplify.
34−4x+12x−12+12x
Enter your answer in the box.
Do not use decimals in your answer.
Answer:
22 - 28x
Step-by-step explanation:
34−4x+12x−12+12x
you wanna combine like terms
34 - 16x + 12 + 12x
34 - 28x + 12
22 - 28x
Use the diagram below to answer the question. There is a small building that is 24 feet tallThe fire fighter is standing 7 feet away from the building.
Answer:
24- 7 = 17
Step-by-step explanation:
What is the equation, in point intercept form, for a line that goes through (2, -6) and has a slope of -3/4
The answers are in the photo.
Oh and ignore the highlighted answer I mistakenly hit it.
I will give Brainlyist!!!
Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
Can someone help please? i’ll give you brainliest, sorry if it’s hard to see
1/4 and 4
Step-by-step explanation:
small to large: 2/8 =1/4
large to small: 8/2 =4
Answer: 2x4=8 , 16x8=128
128x8=1024
Step-by-step explanation: hope I help with your problems and sorry if it wrong
can somebody please help me
Answer:
[tex]C.650,000\ pounds[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]
[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: A(3,6) B(11,10)
Line 2: C(-4, 2) D(6, 16)
Parallel, Perpendicular, or Neither:
Answer:
Line 1 : A. Neither B. Parallel__________ Line 2: A. Perpendicular B. Parallel
Step-by-step explanation:
Sorry this was hard to make a picture of it in my head. *Exhausted face* ._.
HELP HELP HELP PLEASE
A line has a slope of 1/4. The line passes through the point (4, 6). The line also passes through the point (12, k). What is the value of k?
Mark scored 3
more than twice what Nia scored. Nia scored 2
less than 4 times what Lupe scored. If Lupe
scored 2 points, what did Mark score?
Answer:
15
Step-by-step explanation:
2 times 4 is 8 minus 2 equals 6- Nia's Score
2 times 6 is 12 plus 3 equals 15- Mark's Score
xoxo,your highness...Answer:
15
Step-by-step explanation:
2 X 6 is 12 + 3 = 15 (Mark's Score)
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house
Answer:
$12,500
Step-by-step explanation:
Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.
Total change in the value of house= $245,000- $120,000=$125,000.
Total time (in years) between 2007 and 2017 = 2017-2007=10 years.
The value of the house changes by $125,000 in the time interval of 10 years.
So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.
Hence, the average annual rate of change in the value of the house is $12,500.
Solve (x+1)2 = –5.
Question 16 options:
A)
No real solution
B)
x = ±1.75
C)
x = ±5
D)
x = ±1
Answer:
A) no real solutions
Step-by-step explanation:
No real solution. in order to x+1 by itself you must square root both sides. that would mean square rooting -5 which creates an imaginary number. so there are no real solutions. Also cause even if x was a negative, when you'd square it, you'll always get a positive.
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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