Answer: Hence, [tex]1\dfrac35[/tex] liters of blue paint have been used.
Step-by-step explanation:
Given: Robert mixed [tex]1\dfrac13[/tex] liters of blue paint with [tex]1\dfrac23[/tex] liters of red paint to make 3 liters of purple paint.
[tex]1\dfrac13=\dfrac{4}{3}\\\\ 1\dfrac23=\dfrac{5}{3}[/tex]
Ratio of blue paint to red paint = [tex]\dfrac{\dfrac{4}{3}}{\dfrac53}=\dfrac{4}{5}=4:5[/tex]
let x be the quantity of blue paint used with 2 liters of red paint..
Then
[tex]x:2=4:5\\\\\Rightarrow\ x=\dfrac{4\times2}{5}\\\\\Rightarrow\ x=\dfrac85=1\dfrac35[/tex]
Hence, [tex]1\dfrac35[/tex] liters of blue paint have been used.
The amount of blue paint used is [tex]1\dfrac{3}{5}[/tex] liters and this can be determined by using the arithmetic operations.
Given :
Robert mixed [tex]1\dfrac{1}{3}[/tex] liters of blue paint with [tex]1\dfrac{2}{3}[/tex] liters of red paint to make 3 liters of purple paint.To make a new batch of purple paint he used 2 liters of red paint.Amount of Blue Paint = 4/3 liters
Amount of Red Paint = 5/3 liters
Now, the ratio of blue paint to red paint is given by:
[tex]=\dfrac{\dfrac{4}{3}}{\dfrac{5}{3}}[/tex]
[tex]=\dfrac{4}{5}[/tex]
Now, assume that the amount of blue paint that is used with 2 liters of red paint is 'a'. Then it is given that using the same ratio, Robert should use response area liters of blue paint, that is:
[tex]\dfrac{a}{2}=\dfrac{4}{5}[/tex]
[tex]a = \dfrac{8}{5}[/tex]
[tex]\rm a = 1\dfrac{3}{5} \; liters[/tex]
Therefore, it will be said that [tex]1\dfrac{3}{5}[/tex] liters of blue paint is used.
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Problem 3
Determine the area of the shaded region.
Answer: i will answer dont worry but wheres the shaded regoin
Step-by-step explanation:
i will type the real answer in the comments below
mikayla has 90 minutes to answer 36 questions on a school survey. how many minutes per question does she have ?
HELPPPP!!!! A, B, C, or D!
Answer:im pretty sure its C
Step-by-step explanation:
45 is a product of cris age and 3
Charlie boils seven eggs for his breakfast. He puts the eggs into the pan one at a time, but waits one minute after putting one egg in before putting the next egg in. If he boils each egg for three minutes, how long does the whole operation take from the moment he puts the first egg in to the moment he takes the seventh egg out?
Answer: 27 minutes
Step-by-step explanation:
What is the area of the triangle
Answer:
16
Step-by-step explanation:
8 × 4 = 32
32 ÷ 2 = 16
hope this helps...
Answer:
16
Step-by-step explanation:
Area of a triangle = base x height divided by 2
base = 8
height = 4
8 x 4 = 32
32/2 = 16
Area = 16
Hope this helps!
There
are two containers of butter. The blue container has 10.6 oz
butter and the green container has 9.9 oz butter. which container
has less butter?
Answer:
green container
Step-by-step explanation:
30% of Americans will fall asleep before midnight. For every 500 Americans, about how many will be sleeping before the New Year?
Answer: 150
Step-by-step explanation:
30% = 0.3
100-30=70
70% = 0.7
0.7 X 500 = 350
500-350 = 150
For every 500 Americans, the number of people fall asleep before the New Year is, 150
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
30% of Americans will fall asleep before midnight
For every 500 Americans, about how many will be sleeping before the New Year?
Percentage = num. of people fall asleep in sample/Total people in sample ×100
30 = N/500×100
N = 150
Hence, the number of people fall asleep is 150
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BRAINLIEST
Help please, look at the image for the problem. leave explanation for brainliest.
Step-by-step explanation:
I dunno how to explain but the answer is 15 inches
A 750ml bottle of highland.Spring Water cost $0.96.Work out the cost per litre when bought in this way
Answer:
$1.28 per liter
Step-by-step explanation:
750ml/1 L = .75
.96/.75 = 1.28
There were 60 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 4/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
08 runners finished the race.
Step-by-step explanation:
Given that:
Number of runners at the race = 60
Number of runners dropped in first half = 1/3 of 60
Number of runners dropped in first half = [tex]\frac{1}{3}*60 = 20[/tex]
Remaining runners = 60 - 20 = 40
Number of runners dropped in second half = 4/5 of 40
Number of runners dropped = [tex]\frac{4}{5}*40 = 32[/tex]
Runners left = 40 - 32 = 08
Hence,
08 runners finished the race.
Indicate whether the statement is true or false.
3,654 > 3,645
Answer:true
the statement is true
2. Is 1/3 greater than, less than, or equal to 3/9
Answer:
equal to
Step-by-step explanation:
1/3 = 3/9
1/3 = 1*3/3*3 = 3/9
Answer:
1/3 is equal to 3/9
Step-by-step explanation:
If you take the fraction 1/3 and multiply it by 3/3, you get 3/9. You can check this by taking the larger fraction, 3/9, and dividing it by 3/3 to get 1/3.
What is the square route of 16?
Answer:
4
Step-by-step explanation:
4² = 16
calculate and express your answers for each of the following in decimal form
Answer:
What's the Following?
Step-by-step explanation:
A survey was done in Ms. G's class regarding students preferred type of pizza.
She has 80 students in her classes.
3/4 of them prefer cheese pizza.
How many prefer cheese pizza?
3/4 of 80 = 60.
First off let's start with 1/4 of 80.
80/4 = 20.
But the question asks for 3/4 and that’s three times more than 1/4 so you multiply 3 to 20.
20*3 = 60.
So your answer is 60.
Adiba bought 3 pizzas for her sleepover. 13 slices were eaten. How much pizza is remaining if each pizza was cut into 8 slices?
Answer:
11
Step-by-step explanation:
3*8=24
24-13=11
Solve the following systems of equations. -x + y = -2 and y= -4x + 3
Answer:
y = -1
x = 1
Step-by-step explanation:
as I have done the equation in the picture, I decided to re-write the second equation so that it's easier for me to use.
Divide and simplify. Assume that all variables are positive.
Answer:
[tex]2y\sqrt{2x}[/tex]
Step-by-step explanation:
For this we have to divide like normally but for the exponents we will subtract them since this is a division problem. We would've added them if we were multiplying.
[tex]\frac{\sqrt{32x^5y^8}}{\sqrt{4x^4y^6}}=\sqrt{8xy^2}[/tex]
Now we will split the 8 into 4 and 2. Also we can take the square root of y² while we're at it.
[tex]y\sqrt{4}\sqrt{2x}[/tex]
Now we take the square root of 4.
[tex]2y\sqrt{2x}[/tex]
Xavi wants to measure the impact of using water for irrigation on a stream's flow rate. The flow rates both
upstream and downstream of the irrigation point are normally distributed,
For each location, Xavi selects a random time each month and measures the flow rate in liters per second.
After he has 12 samples per location, he will look at the difference (upstream - downstream) in their
sample means
What do we know about the shape of the sampling distribution of WU - ip, and why?
Answer:
exactly normal
plz help i need help thank you
Answer:
I am not the person to answer this question but the answer is B or74/3
Solve for k, please!
2(k − 5) = 12
Answer:
k = 11
Step-by-step explanation:
Expand brackets
2k - 10 = 12
add 10 on both sides
2k = 22
divide both sides by 2
k = 11
The radius of a circle is 13 in. Find its area in terms of
π
Please help
Answer: 169π in. squared
Step-by-step explanation: 13x13xπ
ken has saved $120 in the bank account. Do the following situations leaves ken with a balance of $0
A line passes through (7, -4) and (-3,4).
(NVM I FIGURED IT OUT)
Given :
Two points (7,-4) and (-3,4).
To Find :
The equation of line passes through the given points.
Solution :
We know, equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})(x-x_1)\\\\y-(-4) = (\dfrac{4-(-4)}{-3-7})(x-7)\\\\y+4 = -\dfrac{4}{5}(x-7)\\\\5y+ 20 = -4x + 28\\\\5y + 4x = 8[/tex]
Therefore, equation of required line is 5y + 4x = 8.
Solve for t
s = 5k + 10
Answer:
Step-by-step explanation:
s = 5k + 10
-10 -10
___________
-10 + s = 5k
divided by 5
_________
-2 + s = k
-2 -2
_________
s = k -2
not sure how im sopposed to solve for t when it wasn't in the equation but here's what I got.
Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function
p(t)= t^2/t – 1
(g) Find a time t>1 when the positron's instantaneous velocity is zero
(h) Where is the positron located at the time you found in (g)
Answer:
g) 2 h) 4
Step-by-step explanation:
g) The time t when the instantaneous velocity of the positron is zero is;
t = 2
h) The location of the positron at the time of t = 2 is;
p = 4.
g) We are told that the function that models the position of the sub atomic particles is;
p(t) = t²/(t - 1)
Instantaneous velocity is simply the derivative of the distance with respect to time.
Thus, Instantaneous velocity is gotten by using online differentiation calculator to get; dp/dt = [2t/(t - 1)] - [t²/(t - 1)²]
When Instantaneous velocity is zero, we have;
[2t/(t - 1)] - [t²/(t - 1)²] = 0
Rearranging to get;
[2t/(t - 1)] = [t²/(t - 1)²]
Cross multiply to get;
2t(t - 1)² = t²(t - 1)
divide both sides by t to get;
2(t - 1)² = t(t - 1)
Expand the bracket to get;
2(t² - 2t + 1) = t² - t
2t² - 4t + 2 = t² - t
Rearrange to get;
t² - 3t + 2 = 0
Using online quadratic equation solver gives;
t = 1 or 2
We are told that t > 1
Thus, we will adopt t = 2
h) At t = 2 seconds gotten in g above, the positron is located at;
p(2) = 2²/(2 - 1)
p(2) = 4
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including the phones tablets and cloud, how many total bits of storage does the family have al together
Answer:
650,000,000
Step-by-step explanation:
6.5x10^8
When a six sided die is rolled then what is the probability that the number
rolled will be four?
Answer:1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
There are six numbers in total on the die.
Numbers ( 1 - 6 )
The number 4 appears only once on the die.
[tex]\frac{\text{preferred outcome}}{\text{total outcomes}} =\frac{1}{6}[/tex]
There is a 1/6 chance that the die would land on a four.
Hope this helps.
Please I need help to complete this table please
Answer:
1+4+7
2+4+6
3+4+5
Step-by-step explanation:
Answer:
6+4+2=12 5+4+3 =12
Step-by-step explanation:
