This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch of the same shade of light yellow paint. white paint (cups) yellow paint (cups) Show your work here.
Answers
Answer: we need 3 cups of white paint and 5 of yellow paint if we want to make 1 batch.
Step-by-step explanation:
I suppose that each one of these squares represents one cup of the given color.
(the white squares represent the cups of white paint and the yellow squares represent the number of cups of yellow paint)
We know that for 3 batches of the paint, we need:
9 cups of white paint.
15 cups of yellow paint.
Now, if we only want to do one batch, then we should use one-third of these numbers of cups. (Because with that we make 3 batches, and one-third of 3 batches is one batch)
Originally, we use 9 cups of white paint, then for one batch we need one-third of 9 cups, this is:
9/3 = 3
Then we should use 3 cups of white paint.
And for the yellow paint, we originally use 15 cups, one-third of 15 is:
15/3 = 5
Then we should use 5 cups of yellow paint.
We can conclude that we need 3 cups of white paint and 5 cups of yellow paint if we want to make 1 batch.
This would be represented with 3 white squares and 5 yellow squares.
Related Questions
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
1. A worker in a company work 7 hours in a day, there are 22 working days in a month other than working hours each worker works 8 extra hours in a month, how many hours a worker is working in a full month?
Answers
Answer: A worker is working 162 hours in a month.
Step-by-step explanation:
Working hours per day = 7
Total working days = 22
Extra hours per month = 8
Total hours a worker works in a month = (Working hours per day) x (Total working days) +(Extra hours per month)
Total hours works in month = = 7 x22+8
= 154+8
= 162 hours
Hence, a worker is working 162 hours in a month.
6. Rudi deposited $100 at the end of each month in an annuity that paid 7.5%
compounded monthly. At the end of 6 years, the interest rate increased to 8.5%.
The deposits were continued for another 5 years. What is the amount of the
annuity at the last deposit? (4 marks)
Answers
Answer:
1005
Step-by-step explanation:
An angle measures 24º more than the measure of its complementary angle. What is the
measure of each angle?
What are the two angles please hurry
Answers
Answer:
33, 57
(not 100% sure this is correct)
Step-by-step explanation:
90= x +(24 +x)
(drag 90, plus the x's and drag the 24)
90 = 2x + 24
(Subtract 24 from 24 and 90 from 24)
66 = 2x
(Divide both by two)
33 = x
(now use x and plus it by 24)
24 + x = 57
PLZ HELP Write an algebraic expression for the following phrase. the product of five and k
Answers
Answer:
5k
Step-by-step explanation:
(R/s)(3) = ? Please hurry
Answers
A: The perimeter of a rectangular garden is 376 m. If the length of the garden is 99 m, what is its width?
B: The area of a rectangular window is 7007 cm If the width of the window is 77 cm, what is his length?
Answers
Answer:
A) the width is 89
B) if area is 7007, the length is 91
Step-by-step explanation:
Answer:
A: 89 m
B: 91 m
Step-by-step explanation:
A: P=2(L+W)
P=2L+2W
P=2(99)+2W
2W=376-198=178
W=178/2=89m
B: A=L×W
7007=L×77
L=7007/77=91
L=9l m
Lynda has $32.00 to spend at the grocery store on boxes of macaroni and cheese. The cost is $3 per box. In addition, her mom told her to buy some oranges that will cost $5. Which equation will let Lynda know how many total boxes of macaroni and cheese,m, she can buy?
A.32 = 5m + 3
B.32 = 3m + 5
C.32 = 3(m - 2) - 5
D.32 = 3(m - 2) + 5
Answers
Answer:
B. 32 = 3m + 5Step-by-step explanation:
Total money to spent = $32Cost of macaroni and cheese = $3 per boxNumber of boxes = mCost of oranges = $5Cost of macaroni and cheeses: 3m
Required equation is:
32 = 3m + 5Correct option is B
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answers
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
Ql. What is the slope-intercept equation of the line y-intercept=(0,1), slope =3/4
Answers
Answer:
y = 3/4x + 1
Step-by-step explanation:
Solve 2x^2 + x - 15 = 0
Answers
Step-by-step explanation:
[tex] \tt{2 {x}^{2} + x - 15 = 0}[/tex]
USING THE QUADRATIC FORMULA :
Here ,
a = 2 , b = 1 and c = - 15Substitute the values into the quadratic equation :
⇾ [tex] \tt{x \: = \: \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} \: }{2a} }[/tex]
⇾ [tex] \tt{x = \frac{ - 1\: ± \: \sqrt{ {1}^{2} - 4 \times 2 \times ( - 15) } }{2 \times 2}} [/tex]
Simplify
⇾ [tex] \tt{x = \frac{ -1 \:± \sqrt{1 - 8 \times ( - 15)} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1\:± \: \sqrt{1 + 120} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1 \:± \: \sqrt{121} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1\: ± \: \sqrt{ {11}^{2} } }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1 \:± \: 11 }{4}} [/tex]
Now , we can split this into two answers because of the plus minus ( ± ) symbol.
Taking positive ( + ) sign :
⇾ [tex] \tt{x = \frac{ - 1+ 11}{4}} [/tex]
⇾ [tex] \tt{x = \frac{10}{4}} [/tex]
⇾ [tex] \boxed{ \tt{x = \frac{5}{2} }}[/tex]
Again , taking negative ( - ) sign :
⇾ [tex] \tt{x = \frac{ - 1 - 11}{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 12}{4}} [/tex]
⇾[tex] \boxed{ \tt{x = - 3}}[/tex]
☥ [tex] \red{ \bold{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{5}{2} \: or \: - 3}}}}}[/tex]
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[tex] \underline{ \underline{ \sf{Explore \: more !!}}} : [/tex]
There are various methods of solving quadratic equations. They are as follows :
Solving a quadratic equation by factorisation method : In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factors is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p • q = 0 then either p = 0 or q = 0 .In other words , if the product of two numbers is 0 , then one or both of the numbers must be zero.Solving a quadratic equation by completing the square : In this method , we transpose the constant term ( c ) to R.H.S , then L.H.S to expressed as perfect square expression.Solving a quadratic equation by using formula : In solving a quadratic equation of the form ax² + bx + c = 0 by completing the square , we obtain two roots of x , which are :[tex] \sf{ \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a}} [/tex] and [tex] \sf{ \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a}} [/tex]. These roots can be written as [tex] \sf{x = \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} }{2a}} [/tex] where a is the coefficient of x² , b is the coefficient of x and c is the constant term. We use this formula to find the required solutions of the given quadratic equation.Hope I helped! ツ
Have a wonderful day / night ! ♡
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The solutions to the quadratic equation [tex]2x^{2} + x - 15[/tex] are x = 2.5 and x = -3.
Given data:
The quadratic equation is represented as [tex]2x^{2} + x - 15[/tex].
Now, the roots are determined as:
[tex]x_{1}=\frac{-b+\sqrt[]{b^{2}-4ac} }{2a}[/tex]
[tex]x_{2}=\frac{-b-\sqrt[]{b^{2}-4ac} }{2a}[/tex]
The value of a = 2 , b = 1, and c = -1.5
Substituting the values in the equation:
[tex]x_{1}=\frac{-1+\sqrt[]{1^{2}-4*2*(-1.5)} }{2*2}[/tex]
So, the value of [tex]x_{1}=2.5[/tex].
[tex]x_{2}=\frac{-1-\sqrt[]{1^{2}-4*2*(-1.5)} }{2*2}[/tex]
The value of [tex]x_{2}=-3[/tex].
So, the roots are x = 2.5 and x = -3.
Hence, the quadratic equation is solved.
To learn more about quadratic equations, refer:
https://brainly.com/question/25652857
#SPJ6
What is the volume of this aquarium
Answers
Answer:
You can also divide the number of cubic inches by 231 to get the volume in gallons. For example, let's calculate the volume of a rectangular tank that is 20″ long, 12″ wide, and 10″ high.
Step-by-step explanation:
Which choice is equivalent to the product below?
..
Someone pls help
Answers
Answer:
Answer B
Step-by-step explanation:
√2 * √8 * √4
√8 = √(2*2*2)
√8 = 2√2
√4=2
√2* 2√2 *2
2*2*2
B
Maria correctly answered 16 of the 20 questions. What fraction of the questions did she answer correctly?
Answers
Simplified to 8/10
Again simplified to 4/5.
can someone help me with this?
Answers
Answer:
12
Step-by-step explanation:
51 ÷ 3 = 17
204 ÷ 17 = 12
hope this helps
Vector B has x, y, and z components of 3, 7.2,
and 4.5 units, respectively.
Calculate the magnitude of B
Answers
Answer:
[tex]\approx 9.0\:\mathrm{units}[/tex]
Step-by-step explanation:
The magnitude of 3D vector [tex]\vec{v}[/tex] can be given by the following:
[tex]| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}[/tex]
Plugging in given values, we have:
[tex]| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}[/tex].
Elsie bought a video game for 85$. if the store charges 170% of its cost for the game, how much is the store's profit?
Answers
Answer: $59.5
170/100 * 85 = 144.5
144.5 - 85 = 59.5
If that is wrong my next guess is $144.50
Cuatro amigos están en un equipo de baloncesto. Durante un juego, cada amigo llevaba un registro de cuántos tiros intentaron y cuántos de esos intentos hicieron. ¿Qué amigo tuvo el mejor récord en cuanto al número de disparos realizados?
Henry acerto 0.45 de sus tiros
Allison hizo 4/15 de sus tiros
Arthur acerto 8/20 de sus tiros
Trevor fallo el 58% de sus tiros
Answers
Answer:
Allison tuvo el mejor récord
Step-by-step explanation:
Use the line of best fit to determine the y-value when the x-value is 7.
A. 25
B. 37
C.53
D.42
Answers
Answer:
53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Is the following equation true or false? Explain your reasoning.
(x + 8)2 = x2 + 64
Answers
Answer:
False
Step-by-step explanation:
Addie increased the amount of chocolate chips she used for the cookie recipe by 45%. The original recipe used 28 ounces of chocolate chips. How many ounces of chocolate chips will Addie use for her recipe?
Answers
Answer:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
Answer:
Step-by-step explanation:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
Im thinking of a number 1 give you a clue: it is less than 6.
Show every possible number
Answers
Answer:
x<6
Step-by-step explanation:
x is less than six thats what the answer means
Answer:
5,4,3,2,1
Step-by-step explanation:
A sweater that is regularly priced at $25 is on sale for 25% off.
What is the amount of the discount?
What is the sale price?
What is the total price of the sweater including the 6.5% sales tax?
need help now plz
Answers
Answer:
Discount = 6.25
Sale Price = 18.75
6.5% tax = 1.21875
Final price = 19.96875 = 19.97
Step-by-step explanation:
25 x .25 = discount
25 - 6.25 = sale price
18.75 × 0.065 = tax
18.75 + 1.21875 = final price
I NEED HELP PLEASE ASAP
Answers
Answer:
Answer choice C is correct
Step-by-step explanation:
HURRY PLEASEEEEEEE. On a coordinate plane, a point is 0.5 units to the left and 0.75 units down. The x-coordinate of the plotted point is . The y-coordinate of the plotted point is .
Answers
Answer:
-0.50
-0.75
Step-by-step explanation:
trust me
Answer: the person above me is correct^^^^^^^
If w is 15 when z is 9, and w varies directly with z, what is the value for z when w is 5?
Answers
Answer:
3 cuh
Step-by-step explanation:
15/3 = 5 9/3= 3
A graph showing a proportional relationship will...
Answers
would y=x be proportional or nonproportional?
Answers
Based on the two way frequency table above, what is the percentage of individuals that selected sports cars as their preferred vehicle?
65%
35%
55%
45%
Answers
Answer:
84/240×100=35%
Step-by-step explanation:
hope its correct
I’ll pay you if you help me
Answers
Answer: help you with what?
Step-by-step explanation:.-.
Haha. No need of money. But ask the question..
waiting..