This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.
Given:
Mark was mixing blue and yellow paint ratio of 2:3.
He wants to make 45 liters of green paint.
According to the question,
Blue : Yellow = Green
2 : 3 : 2+3 (Given)
2 : 3 : 5
Therefore, he wants to make 45 liters of green paint.
So, 5 parts = 45 liters
Now, calculating for each part.
We get,
Each part = 45÷ 5 = 9 liters
Now for 2 parts = 9 x 2 = 18 liters
And, for 3 parts = 9 x 3 = 27 liters
Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?
A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
To learn more on systems of linear equations: https://brainly.com/question/21292369
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What number is halfway between 6.7 and 11.9
Answer:
2.05
Step-by-step explanation:
To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.
-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9
Having an even (8) number of values, the median is the midway point between the two middle numbers.
In our case the two middle numbers are 0.5 and 3.6
(0.5+3.6)/2
Median=2.05 (In words: two && 5/100)
CAN SOMEONE HELP ME PLEASE ASAP!?
omg please help for brainlist !!!!!!!!!!!!!!!
Answer:
1a
Step-by-step explanation:
8000*0.25=2000
2000*0.25=500
500*0.25=125
...
A, or f(x) = 8,000(1/4)^x
8,000 is our starting number since number of half lives is our x, and at x = 0, remaining amount of substance is equal to 8,000. As we can see on the graph, the number decreases by a quarter of its original value every time. Since the number is not getting bigger, we use a fraction instead of a whole number. Finally, the exponent makes sure that it’s a quarter of the product from before.
Hope this helps!
solve one step equation
x/4 = 16
Hi there!
Since this is a one-step equation, we can solve it in one step.
This step is multiplying both sides by 4 to isolate x:
x=16*4
x=64
Therefore, x=64.
Hope it helps!
~GracefulGirlie
Good luck. :)
Answer:
X = 64
Step-by-step explanation:
x/4 = 16
Multiply both sides by 4
x = 16 x 4
Multiply 16 and 4 equals 64
I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)
If these numbers represent temperature in degrees Celsius, which is the coldest
Answer: I don’t know
Step-by-step explanation: I don’t know because there is no numbers but the coldest Celsius I know is -273 degrees Celsius
Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *
Let p = percent change
p = (new amount)/(original amount) • 100
p = (95 - 75)/75 • 100
p = 20/75 • 100
p = 26.666667
p = 26.6%
Done.
n less than 10
.......................
Answer:
n<10
Step-by-step explanation:
if f(x)=4x + 3 find f^-1(x)
Answer:
f^-1(x) = (x-3)/4
Step-by-step explanation:
The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:
First, we take the original function and swap the two variables:
y = 4x + 3
x = 4y + 3
Then we subtract 3 from both sides
x - 3 = 4y
Then to get y on its own, we divide both sides by 4.
y = (x-3)/4
Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.
So your new inverse equation is:
f^-1(x) = (x-3)/4
Answer:
y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.
Step-by-step explanation:
Here we're finding the 'inverse function' of the given f(x) = 4x + 3. Follow these steps:
1. Replace the label f(x) with y: y = 4x + 3
2. Interchange x and y: x = 4y + 3
3. Solve this new equation for y: 4y = x - 3, or y = (1/4)(x - 3
5x=30
AAAA
Help.. -v-
Answer:
x equals 6:
5x=30
x=30/5
x= 6
Answer:
x=6
Step-by-step explanation:
to help you understand whatever you do on one side you do on the other so
in this case to find x we need to divide x by 5 and if we divide x by 5 we also
need to divide 30 by 5
∵5x=30
∵5x÷5=30÷5
∵x=6
Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?
Answer: he can make 3 1/4 pound burgers.
Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)
please help with this math question
Answer:
z=2.61
Step-by-step explanation:
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.
Determine which relation is a function.
Question options:
{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}
{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}
Answer:
the correct answer is option ( C )
write an equation in slope intercept form of the line that passes through the given points -4,9 -2,4 0,-1 2,-6 PLS HELP ILL GIVE BRAINLY TO WHOEVER IS RIGHT
Answer:
y=-2/5X-12
Step-by-step explanation:
M=x2-x1/y2-y1
= -2-(-4)/4-9
= 2/-5
C was given when u received the point (0, -12)
so C is -12
Answer:
y = -5/2x - 1
Step-by-step explanation:
First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].
We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when x is equal to 0. Now, we put our slope and y-intercept into the slope intercept equation:
y = mx + b: where b is the y-intercept and m is the slope
y = -5/2x - 1 is your answer
Hope this helps! :D
What is the sine rule
Answer:
Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.
Law of sines (on any triangle) is
[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.
Answer:
sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
Step-by-step explanation:
In a triangle with sides a,b,c:
a/sin A = b/sin B = c/sin C
Make t the subject of the formula q = 4+
2 - 4
t 3
Answer is given below in picture
I hope it helps.
Answer one question. Thanks
can someone help me with this
x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32
x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0
So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0
Ok done. Thank to me :>
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Brainliest to a person who gets it right.
Answer:
21 minutes
Step-by-step explanation:
180 divided by 3 is 60 wpm
1260 divided by 60 is 21
What is the answer for this one: If the temperature is 3 degrees and it falls by 12 degrees, what is the new temperature?
Answer:
-9 degrees
Step-by-step explanation:
3-12=-9
Answer:
-9 degrees
Step-by-step explanation:
Just think it through. If it's currently 3 degrees out side and then the temperature drops another 12 degrees, what will the temperature be.
If you're still having trouble visualizing it, picture it on a number line. It becomes:
3-12 = ?
3-12 = -9
An airport parking lot has 2,800 spaces. if each row has 25 spaces, how many rows are there?
Please Help! I don't have much time to finish!
Answer:
............
Step-by-step explanation:
here........
Help Please Just solve the question below
I don't know what to pick..
Answer:x=3
Step-by-step explanation:Multiply both sides of equation by four. Subtract 56 from the left and move to the right. Calculate 80-56. Divide by 8 on both sides x=3
find the common factor and rewrite.
8A + 11A =
i've been on this question for like 3 days. the answer is NOT 1(8A+11A)
Answer:
8A + 11A = A(19)
Step-by-step explanation:
8A + 11A
= A(8 + 11) Factor out the common factor A
= A(19)
Solve the following systems of equations by substitution or graphing.
Answer:
Answer:
Speed of the wave in the string will be 3.2 m/sec
Explanation:
We have given frequency in the string fixed at both ends is 80 Hz
Distance between adjacent antipodes is 20 cm
We know that distance between two adjacent anti nodes is equal to half of the wavelength
So \frac{\lambda }{2}=20cm
2
λ
=20cm
\lambda =40cmλ=40cm
We have to find the speed of the wave in the string
Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec
So speed of the wave in the string will be 3.2 m/sec
4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
more pepper seedlings than the eggplants, how many pepper seedlings did he
plant?
Answer:
225 pepper seedlings.
Step-by-step explanation:
WAY 1: common sense
half of 150 is 75
75 + 150 = 225
WAY 2: % of number
convert % to decimals (/100)
0.5 x 150 = 75
150 + 75 = 225
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-1/3x+4
Hope This Helps!!!
1/3 + 3/5 in fraction form
Solution: 1/3 + 3/5
Take the LCM of 3 and 5 is 15.
⇛(5+9)/15
⇛14/15 in fractional form.
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Answer:
14/15
Step-by-step explanation:
When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.