Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.Select all the batches that will create the same colors as the first batch.

A. Batch 2

B. Batch 3

C. Batch 4

D. Batch 5

E. Batch 6
Kara mixes different colors of paint to create new colors. - 1

Answers

Answer 1
Answer:

The only batch of paint that will create the same colors as the first batch is Batch 5. Therefore, the correct answer is D. Batch 5

The first batch of paint has the following proportions of blue, white, and yellow:

Blue: 2 parts

White: 1.5 parts

Yellow: 1 part

In order for another batch of paint to create the same colors, it must have the same proportions of blue, white, and yellow.

Batch 2:

Blue: 5 parts

White: 7 parts

Yellow: 3.5 parts

The proportions of blue, white, and yellow in Batch 2 are not the same as the proportions in the first batch, so Batch 2 will not create the same colors.

Batch 3:

Blue: 2.5 parts

White: 3.5 parts

Yellow: 5.5 parts

The proportions of blue, white, and yellow in Batch 3 are also not the same as the proportions in the first batch, so Batch 3 will not create the same colors.

Batch 4:

Blue: 4.5 parts

White: 32 parts

Yellow: 5 parts

The proportions of blue, white, and yellow in Batch 4 are not the same as the proportions in the first batch, so Batch 4 will not create the same colors.

Batch 5:

Blue: 4 parts

White: 3 parts

Yellow: 2 parts

The proportions of blue, white, and yellow in Batch 5 are the same as the proportions in the first batch, so Batch 5 will create the same colors.

Batch 6:

Blue: 432 parts

White: 1.5 parts

Yellow: 34 parts

The proportions of blue, white, and yellow in Batch 6 are not the same as the proportions in the first batch, so Batch 6 will not create the same colors.

for such more question on proportions

brainly.com/question/1496357

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Answer 2
Answer:

Answer:

D. Batch 5.

Step-by-step explanation:

The batch should have the same proportion of blue to white to yellow.

In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.

In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.

4 / 2 = 2

3 / 2 = 1.5

2 / 2 = 1

Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.

Hope this helps!


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To get into the carnival, it costs $5. Then each ride costs $2.25. *Use a linear equation to solve the following:If you brought $35, how many rides can you go on?
How much would it cost altogether to ride 7 rides?

Answers

Answer:

equation: y=2.25x+5

a: 13 rides

b:$20.75 for 7 rides

explanation:

a: 35=2.25x+5

first subtract 5 from 5 and 35

30=2.25x

divide each side by 2.25

x= 13 1/3

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Use the function to answer the question.f (x) = x2 +4
What is the value of x when f (x) = 4?

Answers

Answer:f(4)= 12

Step-by-step explanation:

Treat f(x) as y, y=2x + 4, y=12

Answer:

x = 0

Step-by-step explanation:

Given f(x) = x² + 4 and f(x) = 4, then equating

x² + 4 = 4 ( subtract 4 from both sides )

x² = 0 , thus

x = 0

If x2=y3, what is the value of z does x3z=y9?

Answers

If x² = y³ , for what value of z doesx^(3z) =  Y^(9)  ?

Answer:

z= 2

Step-by-step explanation:

To solve the question given, we will follow the steps below;

X^(3z) =  Y^(9)   -----------------------------------------------------------------(1)

but   applying the law of indices mᵃᵇ = (mᵃ)ᵇ

then

Y^(9)  = (Y^(3))^(3)

replace  Y^(9)  by  (Y^(3))^(3)  in equation (1)

X^(3z) =  Y^(9)

X^(3z) =   (Y^(3))^(3)   --------------------------------------------------------------------(2)

but  from the question x² = y³

replace y³ by x²  in equation (2)

X^(3z) =   (Y^(3))^(3)

X^(3z) =   (X^(2))^(3)

X^(3z) =   X^(6)

3z = 6

divide both-side of the equation by 3

3z/3 = 6/3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3  at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3

z= 2

F(x) = 12x - 3x + 12

Find f(10x - 5)

Answers

Answer:

244,140,634

Step-by-step explanation:

Determine the exact value of k so that the quadratic function f(x) = x2 - kx + 5 has only one zero.

Answers

f(x)=ax^2+bx+c\n\n\Delta=b^2-4ac\n\nif\ \Delta < 0-no\ zeros\nif\ \Delta=0-one\ zero\nif\ \Delta > 0-two\ zeros


f(x)=x^2-kx+5=0\n\na=1;\ b=-k;\ c=5\n\n\Delta=(-k)^2-4\cdot1\cdot5=k^2-20\n\none\ zero\ if\ \Delta=0\n\ntherefore\nk^2-20=0\ \ \ \ |add\ 20\ to\ both\ sides\n\nk^2=20\n\nk=\pm√(20)\n\nk=\pm√(4\cdot5)\n\n\boxed{k=-2\sqrt5\ or\ k=2\sqrt5}
I like this question. When we factorise this question the brackets have to be identical.
5 has to be square rooted to become √5. From, FOIL we know that the last digit is times by the other last digit to find the 5, as our brackets are identical this number is the same. The square root of 5.
This number is doubled in identical brackets to find the middle number. so it is 2√5. As there is a minus number there the brackets are: (x-√5)(x-√5). Multiplying this out gives us: x²-2√5 x+5. k=2√5 (or -2√5, depending on if the minus is counted or not)

How do you calculate the daily periodic rate?

Answers

Answer:

First we need to know what's APR.

APR refers to a annual periodic rate that's charged in a credit card. It changes depending on the company. So, the daily periodic rate can be calculated by dividing the APR of the credit car by 360 or 365, depending on the credit card companies.

So, basically, you need to call the company and ask about the APR and ask if the use 360 or 365 days to calculate the daily periodic rate, then do the division.

A daily periodic interest rate is calculated by dividing the annual percentage rate, or APR, by either 360 or 365, depending on the card issuer.