Using proportions, it is found that 40 ml of water have to be added to make the ratio of oil to water of 1:3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The jar contains 100 ml of oil and water in the ratio 1:4, hence:
The amount of oil is: 1/5 x 100 = 20 ml.The amount of water is: 4/5 x 100 = 80 ml.Oil was added to make the ratio 1/2, hence:
[tex]\frac{20 + x}{100 + x} = \frac{1}[3}[/tex]
3(20 + x) = 100 + x
60 + 3x = 100 + x
x = 20.
Then there are 40 ml of oil and 80 ml of water, for a total of 120 ml. Now we want a ratio of 1:3, that is, 3/4 of the mixture being water, hence:
[tex]\frac{80 + x}{120 + x} = \frac{3}{4}[/tex]
4(80 + x) = 3(120 + x)
320 + 4x = 360 + 3x
x = 40
40 ml of water have to be added to make the ratio of oil to water of 1:3.
More can be learned about proportions at https://brainly.com/question/24372153
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This year, the cost of an amusement park pass is twenty percent more than last year. This year's cost is described by an expression where p is last year's cost.
p + 0.20p
Which of these expressions is another way to describe this year's cost? whats the answer
Answer:
Step-by-step explanation:
Your answer
You have already write down a expression which is p + 0.2p
So another expression can be : 1.2p
Mark it as Brainlist answer. Follow me.
Answer:
1.20p
Step-by-step explanation:
I did it, and I got it right on my test.
Hope this helps :)
pls help will give brainlest
Clara is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? 8 in 5 in 60 in 4 in O A. 324 square inches B. 344 square inches O C. 276 square inches O D. 240 square inches
Answer:
A. 324
Step-by-step explanation:
60 x 4 = 240
8 x 8 = 64
1/2 x (5 x 8)= 20
Add them then you get 324
Evaluate the expression.
1/7 divided by 2/5 - 1/7
Answer:
3/14
Step-by-step explanation:
In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.
So now find 5/14 - 1/7.
1/7 converted to a denominator of 14 is 2/14.
So we have 5/14-2/14 = 3/14. That is your answer.
The first thing that we should do is turn this into a mathematical formula.
[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .
This is more generally written as
[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]
So, our answer is 9/5 or 1.8
A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.
Answer:
20000
Step-by-step explanation:
115%-> 23000
100%->20000
whose
The boy ..... dog was hit by a car has not been to school for 3 days,
Step-by-step explanation:
huh what you are trying to say
please solve this 2 step equation, thank you!
p - 9 / 3 = 2
Answer:
the answers is =5
1. Find the total surface area of the net below
Answer:
dfdg
Step-by-step explanation:
fd
SOMEONE HELP ME WITH THIS PROBLEM
Answer:
a)15=3+12=x
b)15=3x5=x
Step-by-step explanation:
hope this helps and if this is correct you can give brainliest if you want and if I am not correct tell me in the comments and I will fix it
Answer:
Read Explanation
Step-by-step explanation:
Hello I think I can help.
Lets go over A then work on B to see if me walking through it can help you understand better.
Lets use some real world stuff. Say that the big long rectangle with the 3 and the x in it is a big truck, driving down the road.
Now inside that truck we have a 3 and a X as it shows in the picture. And then on the outside of the truck it shows what we have total inside the truck which is 15.
Now 3 + x may not sound equal to 15 but its math and if you see the = sign between two things they are equal no matter how weird it may seems.
So inside the truck, the 3 + x is equal to the outside of the truck saying that inside it is 15.
Lets move onto the B and do the same thing using the truck.
Now inside the truck it is saying 3 multiplied by x this time. On the outside it is saying there is a total of 15 just like before.
It looks to me you don't even have to solve it as the model seems to already be solved. But lets explain it.
Just like the problem says, (15 = 3 times x) you can see the 3 times x in the truck by the 3 separate x's inside the truck. And on the outside you can see the 15, which is the total amount inside the truck. And we know this is true because in the equation it says 15 = 3 times x.
I am not sure if you have to solve these but we can go over that real quick as well since it is very simple.
To find what x is in these equations all you want to do is take the outside of the truck (which is 15) and divide it by the number we know (3), not the variable (which is x).
So if we do this :
(The outside of the truck or the one number on its own)
15
(Divide it by the other number we know of inside the truck, not the letter/variable)
3
And we get :
15/3 = 5
x = 5
And that is our answer and you can do the same thing to part A.
You can also check to see if you're right by doing the same thing but backwards.
This means we use multiplication and go right to left (5 and 3) instead of left to right like we did last time (15 and 3).
If we multiply the 5 and the 3 we get 15 which is the other number in the equation and proves we are correct!
I do hope this helps.
If you have any questions or concerns feel free to message me or comment! :)
find x and round to the nearest tenth:)
Answer:
x = 31.8°
Step-by-step explanation:
Applying the Law of Sines, we have:
[tex] \frac{sin(x)}{12} = \frac{sin(75)}{22} [/tex]
Multiply both sides by 12
[tex] \frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12 [/tex]
[tex] sin(x) = \frac{sin(75) \times 12}{22} [/tex]
[tex] sin(x) = 0.5269 [/tex]
[tex] x = sin^{-1}(0.5269) [/tex]
x = 31.8° (nearest tenth)
Solve and check the equation.
x/9=x/10-4
Answer:
x = -360
Step-by-step explanation:
x/9 = x/10 - 4
=> x/9 - x/10 = -4
=> x/10 - x/9 = 4
=> 9x/90 - 10x/90 = 4
=> -x/90 = 4
=> -x = 90(4)
=> x = -360
Asap need help plz can figure out these 3
Answer:
10) 3-2i
Step-by-step explanation:
to find the conjugate, you just need to change one of the signs in the expression
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
(-5x+4) + -1 (x - 1)
Answer:
-6x+5Step-by-step explanation:
I assume you want to simplify this expression.
First take away the parenthesis.
-5x+4+-1x+1
Now combine like terms.
-5x+-1x=-5x-1x=-6x.
4+1=5
So -6x+5 is your answer.
Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.
Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?
Answer:
a) 0.0835 = 8.35% of students at the university are statistics majors
b) 0.8623 = 86.23% are at the Main campus
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for item b.
a. What proportion of students at the university are statistics majors?
12% of 60%(At the main campus).
4% of 25%(Downtown campus).
The rest is 100 - 60 + 25) = 15%.
1% of 15%(Bay Area Campus). Si
[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]
0.0835 = 8.35% of students at the university are statistics majors.
b. Of all statistics majors at the university, what proportion are at the Main campus?
Using conditional probability to find the percentage.
Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]
Event B: Main Campus
Intersection of A and B:
12% of 60%. So
[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]
Percentage:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]
0.8623 = 86.23% are at the Main campus
There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form
Step-by-step explanation:
substitute the given value in the standard form equation. it will give you the slope intercept form
LIBBY NEEDS TO MAKE 1/2 OF HER CHILLI RECIPE FOR THE SCHOOLS CHILI CONTEST.IF LIBBY USUALLY NEEDS 2 CUPS OF CORN FOR HER CHILI RECIPE,HOW MUCH CORN WILL SHE NEED FOR THE CHILI CONTEST?
A. 1 CUP
B. 1/4 CUP
C. 4 CUPS
D. 2/4 CUP
Answer:
a
Step-by-step explanation:
because she only need a half of it
Answer:1/4
Step-by-step explanation:
There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.
Answer:
Find the missing values by using the formula:
= Row total * Column total/Grand total
Win Loss Row total
Normal Conditions 154 66 220
Harsh Conditions 14 6 20
Column Total 168 72 240
Win - Normal conditions: Loss - Normal conditions
= 220 * 168/240 = 220 * 72/240
= 154 = 66
Win - Harsh conditions Loss - Harsh conditions
= 20 * 168 / 240 = 20 * 72/240
= 14 = 6
What’s the answer please help !!!!
A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?
Answer:
40 lures
Step-by-step explanation
First, 10 for every 2 means multiplication. 2 goes into 8 4 times. 4x2=8
10 lures multiplied by 4 is 40.
I hope this helps! ツ
Question 22 Noella wraps cube-shaped boxes at her gift shop. The cost of wrapping a box depends on its side length. A box with a side length, x, of at least 5 inches will cost 0.05⋅6⋅x2 dollars to wrap. A box with a side length, y, of less than 5 inches will cost 0.04⋅6⋅y2 dollars to wrap. Which of the following correctly represents the total cost to wrap each set of cube-shaped boxes? Select ALL that apply.
Answer:
D B E
Step-by-step explanation:
Solve log x = 4!!! Please
Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers
Answer:
Number = 857674.35
Step-by-step explanation:
Translating the word problem into a numerical format;
Eight hundred and fifty two thousand = 852,000
Six hundred and seventy four = 674
Thirty five hundredths = 35/100 = 0.35
Now, we would add all of the values together.
Number = 852,000 + 674 + 0.35
Number = 857674.35
23.450÷345
[tex]23.450 \div 345[/tex]
Answer:
0.0679710145
I hope this will help you
I need help this is a assignment question.
The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?
A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot
Answer:
c because its c its c and nothing but c
how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%
Answer:
1100 brainliest please
Step-by-step explanation:
1000×2×0.05=100
1000+100=110
True and false
Urgent!!! Please help man!
Answer:
True
Step-by-step explanation:
Because I did this.
Michael is watching a movie that is 2 1/3 hours long. If he has already watched 1 2/9 hours of the movie, how much of the movie is left?
__ __/__
Fill in the measures of the following angles and side lengths. All answers will be numbers.
Answer:
Step-by-step explanation:
BED=52
BAC=43
B=180-43-52=85
DE/8=15/12, DE=10
BC/15=9/10, BC=13.5
(9+EC)/15=9/10, 9+EC=13.5, EC=4.5
BD/10=12/15, BD=8
can u pls help me i am really stuck this is a geo problem pls get to me as soon as possible thanks.
Question: find the value of x.
Answer:
Please refer to the attachment
Solve this system using the substitution method: 2a-4b=9; 2b-4a=-3
Answer:
1 ) 1,4.5 2)1,-5/4
Step-by-step explanation:
we have to solve both by :
let a be (1) in first case
now solve like this 2(1)-4b=9