Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
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Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
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Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
The top running speed of a giraffe is 250% of the top speed of a squirrel. If a squirrel’s top running speed is 12 miles per hour, find the speed of a giraffe.
Answer:
30
Step-by-step explanation: First take the fastest speed of the squirrel, and then you multiply it by the percentage (250%). You can this by moving on decimal point to the left from the zero (250% = 2.50). Then multply the speed of the squirrel by said percentage of the girrafe,
12 x 2.5 = 30
whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?
Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]
The mid-point will be:
[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]
Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"
[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]
We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:
[tex]y = mx+b\\y = -2x+b[/tex]
Putting the point (-1,5) in the equation
[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]
The final equation is:
[tex]y = -2x+3[/tex]
Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Hi I need help please 10 points for answering questions 3 and 4 correctly please it’s due tomorrow
Answer:
3. 150% 4. 8.3%
Step-by-step explanation:
Percent error formula is the difference between the actual and estimated divided by actual times 100.
3. (5-2) / 2 x 100= 150%
4. (24-22)/ 24 x 100 = 8.3%
An escape room company has found that their nightly revenue (in dollars)
can be modeled by the function R(c) = -0.6c2 + 54c + 100
where c represents the cost of admission.
15) What cost of admission will maximize nightly revenue?
A)
$45.00
C)
$90.00
B)
$54.00
D)
$100.00
Answer:
B) 54.00
Step-by-step explanation:
Tristan has already taken 18 pages of notes on his own, and he will take 1 page during each
hour of class. In all, how many hours will Tristan have to spend in class before he will have
a total of 31 pages of notes in his notebook?
A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!
Answer:
5484 gallons
Step-by-step explanation:
Given that:
Delivery in 1 day = 457 dozen gallons
g = number of gallons delivered on that day
Recall :
1 dozen = 12
Therefore, the number of gallons delivered in 1 day :
457 gallons * 12 = 5484 gallons
Help plss don’t answer if ur not sure
a man is twice as old as his son. 20 years ago the sum of their age is 85
Lancé le 26 novembre 2011, le Rover Curiosity de la Nasa est chargé d'analyser la planète Mars. il a atterri sur la planète rouge le 6 août 2012, parcourant ainsi une distance d'environ 560 millions de kilomètres en 255 jours. quelle est la durée du vol?
Answer: La durée de la vol entire est 560 millions de miles. La durée par hour est 2.19 millions de miles par hour.
Step-by-step explanation: Je ne sais pas sûr que Je comprends la question exactement. Si on doit trouver la durée par hour, il faut divider 560000000 par 255.
Please help ill brainlist 15
Answer:
point K is reflected across the y-axis to create point K'
Kara's family is thinking about renting an SUV that can travel 6 2/3 miles on 1/6 gallon of gas. Kara wants to know the gas mileage of the SUV.
Answer: 40
Step-by-step explanation:
Find the reciprocal of the divisor
1/6: 6/1
Multiple it with the dividend
20/3 divided by 1/6= 20/3 x 6/1
20x6 = 120
3x1 = 3
Reduce the fraction: 40/1
Help please! I really need it now the question is in the screen shot!
Answer:
A would be the answer
Step-by-step explanation:
8 is the x coordinate and 6 is the Y coordinate
Answer:
The answer is A
Step-by-step explanation:
The point is exactly on 8 and 6, x comes first
Which statement is true of an appropriate sample of a population? A sample must be a group of people who are the target of the survey question. A sample should have different characteristics than the population. O Asample must be very small. A sample should include only boys or only girls. THE ANSWER IS A
Answer:
The answer is A simple must be a group of people who are the target of the survey question
Step-by-step explanation:
Ffcffgffffggggvgfcgcvggfvv
Answer:
Husfivhuisfhvkusdhvkufadhvkudshfukdahf
Step-by-step explanation:
i’ll give brainliest
Answer: The line is dotted and shaded above
ASAP!!! please help! thanks.
Answer:
I think A is the right answer
A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the taxi? Explain
Answer:
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
Step-by-step explanation:
4.) Karl started his day with $17 in his wallet. He spent
$5.24 for lunch and $10.65 on a book. How much money
does he have left? (Show your work)
Answer:
1.11
Step-by-step explanation:
5.24+10.65=15.89
17-15.89= 1.11
good luck
Answer:
1.11
Step-by-step explanation:
hope this helped you! :)
What is the answer?
Answer:
read explanation
Step-by-step explanation:
rearrange equations to form y=mx+b
-2x+4=2y
-x+2=y
-y=-2x-5
y=2x+5
use these equations to find slope and y intercepts, and match those with the right graph
slope of first: -1
slope of second: 2
y-int of first: 2
y-int of second:5
(trigonometry) write the tangent ratios for angle P and angle Q. if needed reduce fractions
Answer:
Step-by-step explanation:
tan P = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
tan Q = [tex]\frac{3}{4}[/tex]
Sally had 9/10 of her essay to finish after school for homework.She completed 2/3 of that9/10 before dinner. How much of the essay did she still need to finish her dinner?
Answer:
3/10
Step-by-step explanation:
2/3 of 9= 6. So 2/3 of the 9/10=3/10
Write an expression for the sequence of operations described below.
double the quotient of 6 and k
Answer:
blue
Step-by-step explanation:
3. Which equation illustrates the associative
property of addition?
A. (x + y) + 3 = x + (y + 3)
B. 3(x + y) = 3x + 3y
C. x + y = y + x
D. x + 0 = x
Answer: C. x + y = y + x
Step-by-step explanation:
Answer:
A. (x + y) + 3 = x + (y + 3)
Step-by-step explanation-
The associative property of addition allows the numbers grouped within the parenthesis to be switched with the other numbers in the equation to make the problem easier to solve.
Hope this helped!
what is this? answer quickly please
Answer: t= 11.5
Step-by-step explanation: 5 + (-11.5+3) = 3.5
Answer:
T = -3.7
Step-by-step explanation:
We begin with the given equation.
5(t+3)=-3.5
Distribute 5 throughout parentheses.
5t + 15 = -3.5
Move 15 to the other side and switch signs.
5t = -3.5 - 15
Combine like terms.
5t = -18.5
Divide by 5t.
t = -3.7
PLS OMG HELP ME ITS DUE SOON im gonna cry if no one helps, ive been posting these questions all day and no ones actually answering ahauhaiuhshsksjs bye ill just fail
Answer:
X-Intercepts of the function.
Step-by-step explanation:
You'll do well to remember that. Good luck! I hate math!
Answer:
x intercept
Step-by-step explanation:
Please help me I need help number three 17 points for all work shown.
Answer:
15%Step-by-step explanation:
Actual number = 172Estimated number = 198Error:
198 - 172 = 26Percent error:
26/172*100% = 15% rounded to the whole numberStep-by-step explanation:
[tex]\% \: error = \frac{198 - 172}{172} \times 100 \\ = \frac{26}{172} \times 100 \\ = 15\%[/tex]
15%(approx) is the right answer.
QS and TV are parallel lines.
Which angles are alternate exterior angles?
the options are
<SRP and <VUW
<SRP and <QRP
<SRP and <TUW
<SRP and <TUR
Answer:
angle SRP AND ANGLE TUW
Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list the values separated by commas.
Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.
What is the range of the function on the graph?
Answer:
all real numbers greater than or equal to 2
which is [2, infinite)
The Thomas' backyard pool is
rectangular in shape and is
similar to the rectangle formed
by their fenced backyard. The
backyard measures 12 feet long
and 9 feet wide. If the width of
the pool is 6 feet wide, what is
the length of the pool?
Answer: 8 feet
Step-by-step explanation: