Two artists are mixing up green paint for a mural. The first artist, Shane, mixes 3 parts blue and 2 parts yellow to make a shade of green. The second artist, Nora, mixes 5 parts blue and 3 parts yellow to make another shade of green. After Nora mixes her paint, she has 72 ounces of green paint. How many ounces of yellow and blue paint did she use in her mixture? Explain your reasoning and upload a copy of your ratio table.

Answers

Answer 1

Answer:

We would start by breaking down this problem. We want to know how much paint Shane used, so Nora isn't even relevant, we can just throw her out of the equation. Now we know that 2 parts of yellow paint was 24 ounces. We need to determine how much paint is in 1 part:

24/2 = 12

there is 12 ounces of paint in 1 part of paint.

Now what we need to figure out is how much blue paint was used. We know Shane used 3 parts of blue paint, and we know that 1 part = 12 ounces:

3*12 = 36

Shane used 36 ounces of blue paint

Step-by-step explanation:

Hope this helps:)


Related Questions

If adam’s credit card has an apr of 14.63%, what is adam’s balance at the end of june? a. $629.42 b. $629.66 c. $627.27 d. $628.40

Answers

The balance in Adam's account at the end of June which has the credit card with an apr of 14.63% is $627.27.

What is monthly payment?

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

The Adam’s credit card has an Apr of 14.63%,The table below shows his use of that credit card over three months.

Date  Amount ($)  Transaction                       Remaining Balance ($)  4/1      626.45         Beginning balance             626.454/10    37.41            Purchase                              663.864/12    44.50           Purchase                              708.365/3     65.50           Payment                               642.865/16    24.89          Purchase                               667.755/20   104.77         Payment                                 562.986/6      23.60         Payment                                 539.386/10    15.00           Purchase                                554.386/14     51.85           Purchase                               606.23

For the purchase add the previous balance and for payment subtract the previous balance. I have mentioned another column for remaining balance in the above table.

The total of this transaction when multiplied with number of days, we get the total balance, 56498.48.

Now the monthly average balance is,

\(m=\dfrac{56498.48}{90}\\m=627.76\)

Thus, the balance in Adam's account at the end of June which has the credit card with an Apr of 14.63% is near to $627.27.

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Adam’s balance at the end of June is $629.42.

What is the adjusted balance method?

The adjusted balance method is an accounting method that bases finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments post to the account.

Balance at the end of April = 626.45 + 37.41 + 44.50 = $708.36

Interest levied on $708.36= 708.36* (14.63/12) * 1/100

Interest levied on $708.36 = $8.64

So, balance on May 1st= 708.36+ 8.64 = $717

Balance at the end of May = 717-65.50+24.89-104.77 = $571.62

Interest levied on $571.62 = $571.62 * (14.63/12) * 1/100

Interest levied on  $571.62=$6.97

So, balance on June 1st = $578.59

Balance at the end of June = 578.59-23.60 + 15+51.85 = $621.84

Interest levied on $621.84 = $621.84* (14.63/12) * 1/100

Interest levied on $621.84 =$ 7.58

So balance at the end of the june = 621.84 + 7.58 = $629.42

Therefore, Adam’s balance at the end of June is $629.42.

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i need help with geometry

i need help with geometry

Answers

Answer:

C. I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Find the area of the trapezoid

Find the area of the trapezoid

Answers

Answer:

45

Step-by-step explanation:

Find the area of the trapezoid

Determine the measure of the interior angle at vertex e. a. 30 b. 50 c. 90 d. 150

Answers

the measure of the interior angle at the vertex is 90.

4x + 4x + 3x + 3x + 4x = 540

x = 30

Vertex E = 3x where x = 30

3x =?

3(30) = 90

Vertex E = 90*

A vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays form the sides of the angle. So the angle associated with a particular vertex is called the vertex angle and is measured in degrees.

In geometry, a vertex is an angle associated with a vertex of an n-dimensional polytope. In two dimensions, it refers to the angle formed by two intersecting lines: B. The "corners" of the polygon.

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Kevin opened a savings account with texas national bank. His account has an apr of 1. 75% compounded quarterly. If kevin opens his account with $2500, how long will it take for the account to earn $7500?.

Answers

Using compound interest, it is found that it will take 62.91 years for the account to earn $7500.

Compound interest,

A(t) = P × \((1 + \frac{r}{n} )^{nt}\)

The amount of cash after t years is A(t).

The principal is P. (the initial sum of money).

The interest rate is r. (as a decimal value).

The number of times interest is compounded quarterly is n.

t is the number of years that the money will be invested or lent out for.

P = $2500

r = 1.75% = 0.0175

n = 4

A(t) = $7500

then enter the values as follows:

A(t) = P × \((1 + \frac{r}{n} )^{nt}\)

$7500 = $2500 × \((1 + \frac{0.0175}{4} )^{4t}\)

$7500 ÷ $2500 = \((1 + \frac{0.0175}{4} )^{4t}\)

$3 = \((1.004375)^{4t}\)

Log3 = 4t log(1.004375) after applying the log on both sides.

t = log3 ÷ (4log(1.004375))

t = 62.91

Kevin will earn $7500 for 62.91 years.

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1. Eential Quetion What are integer and how are they ued to repreent real-world quantitie?

Answers

Integers are a set of numbers that include the positive whole numbers (1, 2, 3, 4, 5, ...), their opposites (-1, -2, -3, -4, -5, ...) and zero. This number line shows the integers from -5 to 5. You can use integers to help represent many real world situations, such as: Increases and decreases in temperature

PLEASE HELP! THANKS

EXPLANATION = BRAINLIEST

the straight line distance between points is ___ units

PLEASE HELP! THANKSEXPLANATION = BRAINLIESTthe straight line distance between points is ___ units

Answers

13


Explanation: a^2 + b^2 = c^2
12^2 + 5^2 = c^2
144 + 25 = c^2
/169 = c
c = 13

I shouldn't have watched that horror movie last night on TV. It gave me the strangest nightmare. I dreamed I was trapped on a planet of giant insects with Mega-Flies as big as elephants. I thought it was weird that the female Mega-Flies had 8 legs and the male Mega-Flies only had 3 legs. In my dream I was caught in the web of a Mega-Spider who would not let me go unless i could solve his problem: How many Mega-Flies would he need to catch if he eats exactly 140 Mega-Fly legs each day? He wants to know all the possibilities! What are they?

Answers

The possible combinations of the number of female and male Mega-Flies the Mega-Spider needs to catch are 17 female Mega-Flies and 3 male Mega-Flies.

This sounds like a math problem related to division. If the Mega-Spider needs to eat 140 Mega-Fly legs each day, and we know that each Mega-Fly has a certain number of legs, we can use division to figure out how many Mega-Flies the spider would need to catch in order to consume that many legs.

Let's call the number of legs per Mega-Fly "x".

If we assume that the female Mega-Flies have 8 legs and male Mega-Flies have 3 legs, we can use this information to set up the equation:

140 Mega-Fly legs = n × 8 legs + m × 3 legs

Where n is the number of Female Mega-Fly legs and m is the number of Male Mega-Fly legs.

To find all the possibilities, we can divide 140 by 8, and then divide the remainder by 3. We can also use the modulo operator which will give us the remainder in the division.

The number of Female Mega-Flies needed = 140/8 = 17.5

The number of Male Mega-Flies needed = (140%8) /3 = 3.73 (as this is a remainder this would not make sense)

So, the possible combinations of the number of female and male Mega-Flies the Mega-Spider needs to catch are 17 female Mega-Flies and 3 male Mega-Flies.

As Mega-Flies can not have fractional legs in reality so this dream problem doesn't make sense. It is a product of your mind during sleep and it is normal to have an unrealistic dream.

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A net of a rectangular prism with dimensions 4 and one-half centimeters by 3 centimeters by 8 and one-half centimeters.

What is the surface area of the prism?

Answers

The surface area of the rectangular prism is 138 square centimeters.

What is rectangular prism?

A rectangular prism is a three-dimensional solid form with six rectangular sides that is used in geometry. The term "rectangular parallelepiped" is another name for it. The length, breadth, and height of a rectangular prism are all perpendicular to one another. The total of a rectangular prism's six rectangular sides makes up its surface area.

The surface area of the net of a rectangular prism can be determined by individual areas of the shape.

Thus,

Area of each top/bottom face = (4.5 cm) x (3 cm) = 13.5 sq. cm.

Area of each front/back face = (4.5 cm) x (8.5 cm) = 38.25 sq. cm

Area of each left/right face = (3 cm) x (8.5 cm) = 25.5 sq. cm

Total surface area is:

Surface area = (2 x 13.5) + (2 x 38.25) + (2 x 25.5) = 138 sq. cm

Hence, the surface area of the rectangular prism is 138 square centimeters.

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Is the midpoint rule an overestimate or underestimate?

Answers

The midpoint rule is an overestimate.

This is because the midpoint rule is a form of numerical integration which approximates the area under a curve by summing the areas of rectangles that are divided into equal intervals. These rectangles are centered on the midpoints of the intervals.

Because the rectangles are centered on the midpoints instead of the endpoints of each interval, the midpoint rule overestimates the area under the curve as the rectangles are wider than the intervals.

This means that the midpoint rule produces a larger area than the exact area under the curve. This is why the midpoint rule is an overestimate.

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The midpoint rule is an overestimate of the definite integral. The midpoint rule is a numerical integration method used to approximate the definite integral of a function.

It works by dividing the interval of integration into smaller subintervals and approximating the integral by summing the areas of rectangles whose heights are determined by the function evaluated at the midpoint of each subinterval.

Since the rectangles in the midpoint rule are taller at the midpoint and shorter at the endpoints, this method generally overestimates the true area under the curve. However, if the function is well-behaved and the subintervals are small enough, the error between the midpoint rule approximation and the true definite integral can be made arbitrarily small.

In conclusion, the midpoint rule is an overestimate of the definite integral, but the error can be made small by using smaller subintervals.

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2x+6=3x+6 help me plz​

Answers

The answer would be, X=0
X=0 cause when u multiple them

The total cost, c, in dollars, of b bottles of water is c = 1. 1b. What is the constant of proportionality? Enter your answer as a decimal in the box.

Answers

The value of the constant of proportionality in the expression c=1.1 b is 1.1.

Given to us

The total cost, c, in dollars, of b bottles of water, is c = 1.1b.

What is the constant of proportionality?

The constant of proportionality is plugged into an expression when the proportionality is been removed from the expression.

As the total cost is dependent on the number of bottles that is been purchased, therefore,

\(\rm{ Total\ Cost \propto\ Number\ of\ bottles}\)

Removing the proportionality, we will get,

\(c=kb\)

where c is the total cost, b is the number of bottles,

Now compare the two equations,

c = kb

c = 1.1 b

Hence, the value of the constant of proportionality in the expression c=1.1 b is 1.1.

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Find the equation of the line which is parallel to 3x + 2y = 5 and passes through the point (2, -4)

Answers

The equation of the line parallel to 3x + 2y = 5 and passing through the point (2, -4) is y = (-3/2)x - 1. To find the equation of a line parallel to a given line, we need to determine the slope of the given line and use it to construct the equation.

The given line has the equation 3x + 2y = 5. We can rewrite this equation in slope-intercept form (y = mx + b) by isolating y:

2y = -3x + 5

y = (-3/2)x + 5/2

From the equation, we can see that the slope of the given line is -3/2.

Since we want to find a line that is parallel to this line, the parallel line will have the same slope of -3/2.

Using the point-slope form of the equation, we can write the equation of the parallel line:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -4) and m is the slope -3/2.

Substituting the values into the equation:

y - (-4) = (-3/2)(x - 2)

Simplifying:

y + 4 = (-3/2)x + 3

Rearranging the equation:

y = (-3/2)x - 1

Thus, the equation of the line parallel to 3x + 2y = 5 and passing through the point (2, -4) is y = (-3/2)x - 1.

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Explain how to depict the five numbers visually with a boxplot. Choose the correct answer below. Select all that apply.
O A. Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the mean
O B. Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box.
O C. Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the median. Add "whiskers" extending to the low and high values.
O D. Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the mean. Add "whiskers" extending to the low and high values.

Answers

C. Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the median. Add "whiskers" extending to the low and high values.

Draw a number line that spans all the values in the data set. Enclose the values from the lower to upper quartile in a box. Draw a vertical line through the box at the median. Add "whiskers" extending to the low and high values. Quartiles are three values ​​that divide the statistical data into four parts, each containing the same observation. A quarter is a type of quantity. First quartile: Also called Q1 or lower quartile. Second quartile: Also called Q2 or median. Third quarter: Also called Q3 or upper quarter.

Quartiles are values ​​that divide a list of numeric data into quarters. The three-quarter median measures the center of the distribution and shows the data near the center. The lower half of the quartile represents only half of the dataset below the median, and the upper half represents the remaining half above the median. In summary, quartiles describe the distribution or distribution of a data set.

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7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.

7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.

Answers

Answer:

49

Step-by-step explanation:

Scale factor = 1 : 2

AB = XY /2 = 22/2 = 11

AC = XZ/2 = 32/2 = 16

BC = YZ/2 = 44/2 = 22

Perimeter of  ΔABC = 11 + 16 + 22 = 49

Answer:

The perimeter of ΔABC is 49 units.

Step-by-step explanation:

We know that:

ΔABC ≈ ΔXYZ

Work:

=> 2(ΔABC) = ΔXYZ=> 2(11 + BC + CA) = (22 + 44 + 32)=> (11 + BC + CA) = (22 + 44 + 32)/2=> 11 + BC + CA = 11 + 22 + 16=> Perimeter of ΔABC = 11 + 22 + 16=> 49 units

Hence, the perimeter of ΔABC is 49 units.

Hoped this helped.

\(BrainiacUser1357\)

Khalaf wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements shown in the figure below. Use these
measurements to find the length of the tunnel.
201 m
146 m
85
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a meter.
meters
Х
5
?

Khalaf wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements

Answers

Answer:

237.9 meters

Step-by-step explanation:

Let x represent the length of the tunnel.

Applying the Cosine Law, we have:

x² = 201² + 146² - 2*201*146*Cos(85)

x² = 61,717 - 58,692*0.0872

x² = 61,717 - 5,117.9424

x² = 56,599.0576

x = √56,599.0576

x = 237.9 m (nearest tenth)

Emmaline weighs 40 pounds. How much does she and her brother weigh?

Answers

Answer:

I am not sure

Step-by-step explanation:

  i don't believe you've given enough context, here- specify, please

PLEASE HELP FAST I WIL MARK BRAINLIEST

PLEASE HELP FAST I WIL MARK BRAINLIEST

Answers

Answer: AB = 15 because sides AB and AD are congruent

Step-by-step explanation:

What does a Perpendicular Bisector Mean?

Answers

Answer

lines passing through the midpoint of each side which are perpendicular to the given side

Step-by-step explanation:

Inide a park of length 400m and breath 300m there i an area of walking track 4 m wide built all around. What i the area left for children for playing

Answers

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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find an equation of the tangent line to the curve y = 16x sin x at the point (π/2, 8π).

Answers

The equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.

To find the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π), we need to determine the slope of the tangent line and use the point-slope form of a linear equation.

The slope of the tangent line at a specific point on a curve can be found by taking the derivative of the function at that point.

Given y = 16x sin(x), let's find its derivative:

dy/dx = d/dx (16x sin(x))

      = 16 (sin(x) + x cos(x))

To find the slope of the tangent line at (π/2, 8π), substitute x = π/2 into the derivative:

dy/dx = 16 (sin(π/2) + (π/2) cos(π/2))

      = 16 (1 + (π/2) * 0)

      = 16

Therefore, the slope of the tangent line at (π/2, 8π) is 16.

Now, using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y₁ = m(x - x₁),

where (x₁, y₁) is the point (π/2, 8π), and m is the slope of the tangent line.

Substituting the values, we have:

y - 8π = 16(x - π/2).

Simplifying:

y - 8π = 16x - 8π.

Rearranging the terms, we get the equation of the tangent line:

y = 16x.

Therefore, the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.

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Kara went to an amusement park that charged $8 for admission and $2 per ride. She went on n
rides. Which expression shows how much, in dollars, Karen spent in all?

Answers

Answer:

8+2n

Step-by-step explanation:

2 dollars per ride and n= number of rides.

The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Answers

hmmm i’m gonna say you’re mostly likely not gonna like that pizza because it is the least picked pizza.

Answer:

   

Step-by-step explanation:

   

It is not possible to have more than one optimal solution to a linear programming problem. true. false.

Answers

No it is not possible,

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In 1895 , the first a sporting event was held. The winner's prize money was $140. In 2007 , the winner's check was $1,171,000. (Do not round your intermediate calculations.) Required: (a)What was the percentage increase per year in the winner's check over this period? (b)If the winner's prize increases at the same rate, what will it be in 2040?

Answers

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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There are two common methods for measuring the concentration of a pollutant in fish tissue. You apply both methods to a random sample of 18 carp. The primary interest is to know whether the two methods differ. Then this is a typical a. paired t-test b. one-sample Z-test c. two-sample Z-test d. two-sample t-test

Answers

The appropriate test for comparing the means of two measurement methods is a paired t-test. Therefore, the answer is (a) paired t-test.

A paired t-test is used to compare the means of two related groups or samples. In this case, the two measurement methods are applied to the same sample of carp, and the results of the two methods are paired or matched by carp. The paired t-test calculates the mean and standard deviation of the differences between the two methods for each carp, and then tests whether the mean difference is significantly different from zero.

The paired t-test is an appropriate test in this scenario because it accounts for the variability within the sample and reduces the potential impact of confounding factors, such as differences in the size or age of the fish. Additionally, since the sample size is relatively small (18 carp), a t-test is more appropriate than a z-test, which assumes larger sample sizes and a known population standard deviation.

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Need help with this problem. Quick answer is OK. Thank you

Need help with this problem. Quick answer is OK. Thank you

Answers

ANSWER:

\(B.\text{ }\sqrt[3]{n^2}\)

STEP-BY-STEP EXPLANATION:

We have the following expression:

\(\left(\frac{1}{n}\right)^{\frac{-2}{3}}\)

we can simplify to get the answer, like this:

\(\begin{gathered} a^{-b}=\frac{1}{a^b} \\ \\ \text{ Therefore:} \\ \\ \left(\frac{1}{n}\right)^{\frac{-2}{3}}=n^{\frac{2}{3}} \\ \\ n^{\frac{2}{3}}=\sqrt[3]{n^2} \end{gathered}\)

Therefore, the correct answer is B.

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +

Answers

Answer:

\(Base (B) = /frac{15x² + 1 + 2}{x}\)

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

\(\frac{15x² + x + 2}{x²} = B

\(Base (B) = /frac{15x² + 1 + 2}{x}\)

Answer: c

Step-by-step explanation:

Please help me with the circled math question homework

Please help me with the circled math question homework

Answers

The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

What are algebraic expressions?

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

AdditionBracketSubtractionDivisionParenthesesMultiplication

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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How many total games were played in the 10
recorded world series below?
Games per World Series
4567
Games
What is the mean number of games played?

Answers

Answer:

The mean would be 5.5

Step-by-step explanation:

You have to add all the number of games together. Which is 4+5+6+7=22 then divide by 4 which would give you 5.5.

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