Saul makes Apple Green paint and Citron Green paint.
He mixes green paint with white paint as shown.
Apple Green
green : white = 2:1
Citron Green
green : white = 4:5
He makes 90 litres of Apple Green paint.
To this Apple Green paint he adds 24 litres of green paint.
How much more white paint does he need to add to make Citron Green paint?
Your final line must say, He needs to add ... litres of white paint.
Answer:
You would need 18 litres more of white paint to create Citron Green paint.
Step-by-step explanation:
Given the Green Apple paint contains 24 litres of green paint in a 2:1 ratio with white paint, we can conclude the mixture contains 12 litres of white paint because 24 / 2 = 12.
In a Citron Green paint mixture, the current paint mixture would contain 24 litres of green paint in a 4:5 ratio with white paint. This would mean there are 30 litres of white paint in this mixture.
24 / 4 = 6
5 x 6 = 30
To make Citron Green paint, you would need 18 litres more of white paint.
30 - 12 = 18
The amount of white paint that needs to be added is required.
He needs to add 75 liters of white paint.
RatiosLet x be amount of green paint
y be amount of white paint.
Amount of apple green paint is 90 L, so
[tex]x+y=90[/tex]
The ratio of green to white paint is 2:1, so
[tex]\dfrac{x}{y}=\dfrac{2}{1}[/tex]
Rearranging the equation
[tex]x=2y[/tex]
Substituting in the first equation
[tex]2y+y=90\\\Rightarrow y=\dfrac{90}{3}\\\Rightarrow y=30\ \text{L}[/tex]
Amount of white paint is 30 L.
Amount of green paint is [tex]x=2y=2\times 30=60\ \text{L}[/tex]
Amount of green paint added to the apple green paint is 24 L.
Amount of green paint in the mixture is 60+24 = 84 L.
Let the amount of white paint to be added in the mixture be y.
This will be added to the 30 L of white paint in the original mixture.
The ratio of green:white = 4:5, so
[tex]\dfrac{84}{y+30}=\dfrac{4}{5}\\\Rightarrow \dfrac{84\times 5}{4}=y+30\\\Rightarrow 105=y+30\\\Rightarrow y=105-30=75[/tex]
The amount of white paint to be added is 75 L.
Learn more about ratios:
https://brainly.com/question/13513438
Which of the following is a geometric sequence?
A:0, 2, 6, 12, 72, . . .
B:1/2,2/3,3/4,4/5,5/6
C:4, 9, 14, 19, 24, . . .
D:1, 3, 9, 27, 81, . . .
Answer:
D
Step-by-step explanation:
to find the next term multiply by 3
-4<3x-1<14 solve the compound inequality
Answer:
Move all terms not containing the variable from the center section of the inequality.
−1<x<5
Pleaseee answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
<h to <g
Step-by-step explanation:
$175 at 5.45% for 36 months
What is the difference between the interest amount in the account if you did simple and compound interest?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
$175 at 5.45% for 36 months
First, we need to determine the monthly interest:
Monthly interest= 0.0545/12= 0.004542
Now, we will calculate the interest earned using both simple and compound interest:
Simple interest:
I= P*r*t
I= 175*0.004542*36
I= $28.61
Compound interest:
I= PV*(1+i)^n - PV
I= 175*(1.004542^36) - 175
I= $31.01
can some one help me for 100pts
Answer:
THanks
Step-by-step explanation:
Answer:
What is the question??
Step-by-step explanation:
Please help me
The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
please
Answer:
0,3
Step-by-step explanation:
Answer:
the answer is 0.3
Step-by-step explanation:
i got it right on kahn
What is 1 12/20 as a percentage
Step-by-step explanation:
step 1. 1-12/20 = 1.6
step 2. 1.6 = 160%.
In a race in which 6 automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
Answer:
Step-by-step explanation:
number of ways=6×5×4=120
Helppp me please should be pretty easy
Answer:
(0,3)
Step-by-step explanation:
Answer:
0, 3
Step-by-step explanation:
first find the x axis variable, (0), then find the y axis variable, (3).
7. Maria quiere agrandar la foto de su
graduación de manera proporcional de
tal manera que su área sea 16 veces la
de la original. Si la que se muestra a
continuación tiene las medidas de la
foto original, ¿cuál será el perimetro de
la nueva foto?
6
24
960
450
240
76
Answer:
the perimeter is 960
Step-by-step explanation:
The computation of the perimeter is shown below;
If we assume
= (24 × 2) + (6 × 2)
= 48 + 12
= 60
And, the area is 16 times to that of original So
= 60 × 16
Hence, the perimeter is 960
Michelle is four times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle?
Answer:
michelle is 56 years old
Step-by-step explanation:
start with madeline you know she's 7, move on to fiona we know she is twice as old as madeline so we mulitply 7 times 2, we get 14. now we know fiona is 14 and in order to find michelles age we multiply times 4 because shes four time fionas age. 14x4=56.
First find fionas age
Fiona is 2x as old as madeline
madeline is 7
mulitply 7*2 which gives you 14
that means fiona is 14
multiply 14 by 4 which gives you 56
michelle is 56
2/5 x 5/6 simplest form
Answer:
1/3
Step-by-step explanation:
2/5 x 5/6
10/30
1/3
78 is 65% of what number?
Answer:
120
Step-by-step explanation:
Answer: 120
Step-by-step explanation: hope this helps
WHAT WOULD THIS BEEE ANYONEEE!!!
Answer:
The answer would be 3
3x3x3 equals 27 you times it three times because its cube root of 27
Answer:
125
Step-by-step explanation:
cubed root of 27
"The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125"
Does anyone know how to solve this
[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]
B. 100°
[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:ChaEunWoo2009\:\:\:\:\:\:\:\:}}}}[/tex]
#CarryOnLearning
Need help with math someone please help that would be great
Answer:
Ray AD is the anserw
Step-by-step explanation:
Write a linear equation for the graph of the line.
Answer:
If you want a deteled answer tell me!
Step-by-step explanation:
Answer:
y = -2x + 2
Step-by-step explanation:
y = mx + b
b is the y-intercept and is 2.
m is the slope.
Start at (0, 2), the y-intercept. Go down 2 units and right 1 unit.
That is a rise of -2 and a run of 1.
m = slope = rise/run = -2/1 = -2
Answer: y = -2x + 2
HELP WHAT IS THE SLOPE!!!!!!!
Answer:
-9/7
Step-by-step explanation: it’s parallel so it must have the same slope as line C.
A line that includes the point (6,-4) has a slope of -1/2 what’s the equation in slope intercept form
Answer:
The equation in the slope-intercept form will be:
[tex]\:y=-\frac{x}{2}-1[/tex]Step-by-step explanation:
Given
Point (6, -4)Slope m = -1/2Important Tip:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] represents the slope[tex]b[/tex] is the y-interceptIn our case,
(x, y) = (6, -4)m = -1/2Step 1 of 2
Determine the y-intercept b
substitute m = -1/2 and (x, y) = (6, -4) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]-4\:=-\:\frac{1}{2}\left(6\right)+b[/tex]
switch sides
[tex]-\frac{1}{2}\left(6\right)+b=-4[/tex]
[tex]-3+b=-4[/tex]
Add 3 to both sides
[tex]-3+b+3=-4+3[/tex]
simplify
[tex]b=-1[/tex]
Thus, the y-intercept b = -1
Step 2 of 2
substitute the values
substitute b = -1 and m = 1/2 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y=-\frac{1}{2}x+\left(-1\right)[/tex]
[tex]\:y=-\frac{x}{2}-1[/tex]
Conclusion:
Therefore, the equation in the slope-intercept form will be:
[tex]\:y=-\frac{x}{2}-1[/tex]
The graph of the line equation is also attached.
Choose from among the following sequence of numbers the one that is arithmetic with a common difference of +3
Answer:
3, 6, 9, 12, 15
Step-by-step explanation:
just took quiz
Find the Surface Area of the following figure:
16 ft
7 ft
10 ft
Answer:
684
Step-by-step explanation:
Two times the smaller of two consecutive even integers is 18 more than the larger.
Answer:
2x = x+1 + 18
---
x = 19
-----------
x+1 = 20
Step-by-step explanation:
The smaller of the two consecutive even integers is 20, and the larger is 22.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols.
Let's call the smaller of the two consecutive even integers "x".
Since the integers are consecutive and even, we know that the larger integer must be 2 more than the smaller integer. Therefore, we can represent the larger integer as "x + 2".
According to the problem statement, two times the smaller integer (2x) is 18 more than the larger integer (x + 2). We can express this algebraically as:
2x = x + 2 + 18
Simplifying this equation, we can combine like terms on the right-hand side:
2x = x + 20
Subtracting x from both sides, we get:
x = 20
Therefore, the smaller of the two consecutive even integers is 20, and the larger is 22 (since 20 + 2 = 22).
To know more about the number system follow
https://brainly.com/question/17637345
#SPJ2
2+3.3x-1.7=5.25 solve for x
Answer:
1.5
Step-by-step explanation:
2+3.3x-1.7=5.25
=> 3.3x = 5.25 +1.7 -2
=> 3.3x = 6.95 - 2
=> 3.3x = 4.95
[tex] = > x = \frac{4.95}{3.3} [/tex]
[tex] = > x = \frac{49.5}{33} [/tex]
=> x = 1.5 (Ans)
Find the Mean Absolute Deviation:
{1, 10, 7, 6, 4,8}
A) 1.7
B) 1.9
C) 2.1
D) 2.3
E) 2.5
Answer:
2.33
Explanation:
First find the mean:
1 + 10 + 7 + 6 + 4 + 8 = 36
36 / 6 ( there are 6 total numbers) = the mean is 6
Then subtract the mean from each number:
1 - 6 = -5
10 - 6 = 4
7 - 6 = 1
6 - 6 = 0
4 - 6 = -2
8 - 6 = 2
(don't worry about the negatives)
5 + 4 + 1 + 0 + 2 + 2 = 14
14 / 6 ( again, there are 6 total numbers) = 2.33
solve the following linear equation 3 1/x 5 1/4=17 1/2
Answer:
Step-by-step explanation:
Okay I don't know this one either so uh help please
9514 1404 393
Answer:
(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)
Step-by-step explanation:
If X is the center of rotation, the coordinates of point P are transformed like this:
P' = -(P -X) +X
P' = 2X -P
(x, y) ⇒ (2(-5) -x, 2(3) -y)
(x, y) ⇒ (-10-x, 6-y)
__
Your points are transformed to ...
A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)
B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)
C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)
These coordinates match the first choice.
The slope of the line that passes through the points (9,11) and (3,6) is what?
Answer:y= -5
X=-6
-5/6
Step-by-step explanation:
Pls Helpp meee Which one is it??? I will give u brainliest
Answer:
The answer will be the last one which means that will 2
Step-by-step explanation:
You need to find
(f.g)=2 or (f.g) (-2)=2
Please help me I need to pass this class
