There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow? Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answers

Answer 1

Answer:

Brandon is correct.

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of [tex]x[/tex] pints of yellow color become [tex]4 + x[/tex] pint, in which the ampunt of yellow color is [tex]2+x[/tex] pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

[tex](4+x)\times 80\%=2+x[/tex]

[tex]\Rightarrow (4+x)\times \frac{80}{100}=2+x[/tex]

[tex]\Rightarrow 4(4+x)=5(2+x)[/tex]

[tex]\Rightarrow x=6[/tex]

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

Answer 2

Answer:

Brandon is correct that the mixture needs 6 more pints of yellow paint.

50%(4 pints) + 100%(x pints) = 80%(4 + x pints)

2 + x = 3.2 + 0.8x

0.2x = 1.2

x = 6

Bianca is correct because adding the 6 pints won't fit in the gallon bucket. Adding 6 pints of yellow to the original 4 pints of green is 10 pints, which will not fit in the 1-gallon bucket. (1 gallon = 8 pints)

Step-by-step explanation:

used this for my test and it was right


Related Questions

in scientific notation.
245,600,000,000

Answers

Answer:

2.456 × 10∧11

Step-by-step explanation:

How exactly would I find a slope to a graph?

Answers

Answer:

If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).

Step-by-step explanation:

Answer:

Most people would do it by subtracting your 2 y points (any points) and dividing the by the two x points. Basically, y2-y1/x2-x1. Hoped I could help you on this one.

Step-by-step explanation:

A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.
The pencils cost $0.10
The pens cost $0.25
The poster boards cost $1.50
The notebooks cost $ 3.00
The erasers cast $0.10
How many of each can the teacher by with the $ 35.

Answers

Answer: 7

Step-by-step explanation:

The formula for the volume of a square pyramid is V = 1/3 s2h. Choose the formula in terms of h.

Answers

Answer:

h=(v-1/3s)/2

Step-by-step explanation:

If v=1/3 s2h, then you would do the following to find the formula in terms of h:

v-1/3s=2h

(v-1/3s)/2=h

Can i get brainliest please?

Answer:

h=(v-1/3s)/2

Step-by-step explanation:

3. During last season, Fairfield Farms sold strawberries as follows: 800 boxes at $1.25/box in the early part of the season; 1600 boxes at $0.90/box and 2000 boxes at $0.75/box at the height of the season, and 600 boxes at $1.10/box during the late season. a) What was the average price charged? (b) What was the average price per box?

Answers

a)

Average price charged :

[tex]P=\dfrac{1.25+0.90+0.75+1.10}{4}\\\\P=\$1[/tex]

b)

Total income, T =$ 800×1.25 + 1600×0.90 + 2000×0.75 + 600×1.10

T = $4600 .

Total number of box, n = 800 + 1600 + 2000 + 600 = 5000.

Average price per box, [tex]A=\dfrac{4600}{5000}=\$0.92/box[/tex] .

Hence, this is the required solution.

What is the equation of the line that passes through the point (6, -1) and has a
slope of 1?

Answers

Answer:

y = x – 7

Step-by-step explanation:

Answer:

y= x -7

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.

Given that the slope is 1, m= 1.

Substitute the value of m into the equation:

y= 1x +c

y= x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= -1,

-1= 6 +c

c= -1 -6 (-6 on both sides)

c= -7

Thus, the equation of the line is y= x -7.

Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity negative 2 times b plus 8 all over negative 3 x < the quantity 2 times b minus 8 all over negative 3 x > the quantity negative 2 times b minus 8 all over 3

Answers

Given:

[tex]-3x+2b>8[/tex]

To find:

The value of x.

Solution:

We have,

[tex]-3x+2b>8[/tex]

To find the value of x, we need to isolate x on one side.

Subtract 2b from both sides.

[tex]-3x>8-2b[/tex]

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.

[tex]\dfrac{-3x}{-3}<\dfrac{8-2b}{-3}[/tex]

[tex]x<\dfrac{-2b+8}{-3}[/tex]

The required inequality for x is [tex]x<\dfrac{-2b+8}{-3}[/tex].

Therefore, the correct option is A.

Find the slope of the line y = -8x + 1.

Answers

Answer:

Slope is -8

Step-by-step explanation:

The slope is the number in front of x.

Philip writes 2 pages per hour. How many hours will Philip have to spend writing this week
in order to have written a total of 16 pages?

Answers

Answer:

8 hours

Step-by-step explanation:

If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.

To double check that, you can multiply 8 by 2 which is 16.

You answer is 5 hours.

Answer:

8 hours.

Step-by-step explanation: We must Multiply! 2x1=1 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16! We could also divide as well ! 16 divided by 2= 8! We have a grand total of 8 Hours!  I Hope this was helpful!

please helpppppppppp

Answers

Answer:

[tex]kb = {2}^{10} \\ gb = {2}^{30} [/tex]

tb = product of kb and gb

[tex]tb = kb \times gb \\ tb = {2}^{10} \times {2}^{30} \\ = {2}^{40} [/tex]

At a concert 20 percent of the audience member were teenagers. If the number of teenagers at the concert was 360,what was the total number of audience members?

Answers

Answer: 1,800

Step-by-step explanation: At a concert, 20% of the audience members were teenagers. If the number of teenagers at the concert was 360, what was the total number of audience members? x = ? If you divide 360 by 20% it will give you 1,800 audience members.

how do you do least from greatest in decimals and greatest from least too....

Answers

what ever is bigger So if 12 and 20 which is bigger 20

What equation can janet use to calculate the principles amount?



It is a try it problem

Answers

1) Equation I=prt
2) Divide both side of the equation with rt to isolate the variable p one one side of the equation

Rearrange: I/rt=p. P=I/rt

Result : p=I/rt


Tom has a faulty light switch. If he calls an electrician to come and fix it, the electrician will
charge him $65 for the house call plus $60 per hour for parts and labor. Tom wants to spend no
more than $100 to repair the switch. The electrician estimates it will take her half an hour to fix
the switch. Should Tom hire her?

Answers

Answer:

yes.

Step-by-step explanation:

tom should hire the electrition to get his light fixed even though it will go 25 dollars over his budget.

i think this will
help

What is the value of (-12) + (- 33)? Can someone explain the steps to the answer please?.. ASAP

Answers

Answer:

(-12) + (-33) = (-45)

A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth

Answers

Answer:

Step-by-step explanation:

2500 - 12%

12% of 2500 = 300

2500 - 300 = 2200

12% of 2200 = 264

2200-264=1936

Repeat another 4 times

what is the ratio of 50 and 10

Answers

Answer:

5:1

Step-by-step explanation:

10 the greatest common factor.

50 divided by 10 is 5

10 divided by 10 is one

5 comes first then 1.

Answer:

5:1

Step-by-step explanation:

50 to 10 is the same thing as 50:10To simplify, find the LCM of each number, which is 10: 50 ÷ 10 = 5, 10 ÷ 10 = 1Re-write the ratio: 5:1

I hope this helps!

CAN SOMEONE PLS HELP WITH THIS ASAP!!

Answers

Answer:

What is it?

Step-by-step explanation:

In 2011 Ralph paid $12.95 for a box of cards and $0.44 each for 16 stamps. What was the total cost, in dollars and cents, of the box of cards and stamps?

Answers

Answer:

$19.99

Step-by-step explanation:

0.44 x 16 = 7.04

7.04 + 12.95 = 19.99

Solve for x.

8(x + 1) - 3(x + 4) = 7(2 - x)

a. x = 1 1/2

b. x = 1 1/4

c. x = -1 1/4

d. x = -1 1/2

Answers

Answer:

A. x=1 1/12

Step-by-step explanation:

8x+8-3x-12=14-7x

5x-4=14-7x

5x+7x=14+4

12x=18

x=18/12

x=1 1/2

Answer:

1 1/12

Step-by-step explanation:

how can you solve quadratic equation in one variable using quadratic formula?

Answers

Answer:

Step-by-step explanation:

Here are the steps required to solve a quadratic using the quadratic formula:

Example 1 – Solve: x²-8x+14=0

Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.

Step 2: Use the order of operations to simplify the quadratic formula.

Step 3: Simplify the radical, if you can. In this case you can simply the radical into:

Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.

I need to find out the value of x in this triangle because I don’t understand the formula

Answers

Answer:

x = 55 degrees

Step-by-step explanation:

Firstly, as told by the question, we know that this is an isosceles triangle because AB and BC are the same length. This means that angle A and C will be equal. Next, we also know that all angles in a triangle will always add to 180 degrees. Therefore we can write an equation adding up all the angles to solve for x:

Angle A can be represented as 'x'

Angle B is represented 'x+15'

And Angle C can also be represented 'x' as it is equal to angle A

So our formula will be in this format: A+B+C=180

x+x+(x+15)=180

To solve this equation we first take out the brackets and combine like terms:

3x+15=180

Now we need to isolate 'x' so we will end up with a numerical value for it, which we do by subtracting 15 from both sides and then dividing both sides by 3:

3x+15-15=180-15

3x=165

3x/3=165/3

This gives us:

x=55

Hope this helped!

You roll a six-sided dice. What is the probability of rolling a 4?

Answers

Answer:

1/6th chance.

P.s.

please give brainliest

What is the velocity of an object with a kinetic energy of 100 , 000 J 100,000 J100, comma, 000, start text, space, J, end text and a mass of 800 kg 800 kg800, start text, space, k, g, end text? Round your answer, if necessary, to the nearest hundredth.

Answers

Given:

Kinetic energy (KE)= 100,000 J

Mass (m)= 800 kg

To find:

The velocity of the object to the nearest hundredth.

Solution:

We know that,

[tex]KE=\dfrac{1}{2}mv^2[/tex]

where, KE is kinetic energy (in J), m is mass (in kg) and v is velocity (in m/s).

Put KE=100000 and m=800 in the above formula.

[tex]100000=\dfrac{1}{2}(800)v^2[/tex]

[tex]100000=400v^2[/tex]

Divide both sides by 400.

[tex]\dfrac{100000}{400}=v^2[/tex]

[tex]250=v^2[/tex]

Taking square root on both sides.

[tex]\sqrt{250}=v[/tex]

[tex]v=15.8113883[/tex]

[tex]v\approx 15.81[/tex]

Therefore, the velocity of the object is 15.81 m/s.

A bushel had a total of 68 apples. 25% of the apples were green and the rest of the apples were red. How many more red apples were there than green? step by step pls

Answers

(Answer- 17.) - because you have to do the percent over 100. And the total over 1. And then you multiply the top and bottom and then when you get your answer you divide that. And then you get your answer!

On Monday,447 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. How many students were in each bus ?

Answers

Answer:

There would be 8 people in each bus.

Step-by-step explanation:

Answer:

49 students in each bus

Step-by-step explanation:

what is 505 times 117

Answers

Answer:

Step-by-step explanation:

59 085

Write a numerical expression for the verbal expression.

The difference of twenty-two and six divided by the sum of five and three

Answers

I think it will be 22 minus 6/5+3 (5+3=8)

PLZ HELP ... ... .......​

Answers

its b i think :))))))))

Please help with explanation thank you.

Answers

Answer:

B

Step-by-step explanation:

Let me know how you did

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