a thirty pound bag of coffee mixture is to be made from a type of coffee that sells for $9.20 per pound and $11.00 per pound. If the mixture is to have a price of $10.28 how much of each type is included?

Answers

Answer 1

Answer: The system is something like this (you get fractional parts):
$x+y=1 \n 9.2x+11y=10.28 \n \n 11x+11y=11 \n 9.2x+11y=10.28 \n 1.8x=.72 \n x=((18)/(25))/((9)/(5))=(18)/(25)*(5)/(9)=(2)/(5)$
You get 2 parts of $9.20 coffee and 3 parts of $11 coffee in the mixture.

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The ratio of apples to bananas in a bowl of fruit is 2 to3. If there are 12 apples in the bowl, then how many
bananas are there?

Answers

We know that the ratio of apples to bananas is 2 to 3, which can also be written as 2/3.

Let's use a proportion to solve for the number of bananas:

2/3 = 12/x

Here, x represents the number of bananas in the bowl.

To solve for x, we can cross-multiply:

2x = 3 * 12

2x = 36

x = 18

Therefore, there are 18 bananas in the bowl.

Answer:

18 bananas

Step-by-step explanation:

for every 2 apples, there are 3 bananas.

So, if there are 12 apples then the original ratio of number of apples is being multiplied by 6

To prove this, 2 is the original ratio of apples and when 2 is multiplied by 6, you get 12 apples

To ensure the ratio of apples to bananas is the same, you multiply the original ratio of bananas by 3 as well. This leaves us with 18 bananas for every 12 apples (3*6 = 18)

To check if you are correct, you divide both the number of apples and the number of bananas by 6 and you get the original ratio, 2 to 3.

The ratio is essentially the same throughout except when you increase it by a constant ratio, it is no longer simplified but it is the same.

I tried explaining this the best I could and I really hope this made sense and helped!

Plz help quick i will mark u brainiest its about transishons

Answers

Answer:

(x,y) --> (x+4, y-5)

Step-by-step explanation:

A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)

The function t(x) = 3x + 1 determines how many cans of green beans a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on green beans. The function c(x) = x + 4. Solve for how much money must be spent when the crew is going to work 2 shifts.

Answers

Answer: The amount of money he must be spent when the crew is going to work 2 shifts is $11.

Step-by-step explanation:

Since we have given that

the function t(x)=3x+1 determines how many cans of green beans a food truck needs to stock on board , where x is the number of shifts the crew is going to work in the truck.

And the function c(x)= x+4

Since the crew uses c(t(x)) to find the amount of money to spend on green beans .

So, we will use "Composition of functions ":

$c(t(x))=(3x+1)+4\n\nc(t(x))=3x+5$

Since the crew is going to work 2 shifts , so our answer will be

$c(t(2))=3(2)+5\n\nc(t(2))=6+5\n\nc(t(2))=11$

Hence, the amount of money he must be spent when the crew is going to work 2 shifts is $11.

t ( x ) = 3 x + 1
c ( x ) = x + 4
c ( t ( x ) ) = 3 x + 1 + 4 = 3 x + 5
When x = 2:
c ( 2 ) = 3 * 2 + 5 = 6 + 5 = 11
Answer: $11 must be spent on green beans.

Which polynomial represents the area of the rectangle?a. 3x2+2x−5
b. 3x2−5
c. 3x2−2x−5
d. 3x2−8x−5

Answers

Answer:

Step-by-step explanation:

The correct option is C.

Step-by-step explanation:

The width of the rectangular pen is

The length of the rectangular pen is

The perimeter of a rectangle is

Therefore the correct option is C.

Final answer:

Without specific dimensions for the rectangle, it's impossible to definitively determine which polynomial represents its area. If we knew the length and width in terms of x, we could then form a polynomial by multiplying them.

Explanation:

This question is based on the concept of polynomials and their application in representing areas. From the provided question, we don't have specific dimensions of the rectangle, thus making it impossible to definitively determine which polynomial represents its area.

If the length and width of the rectangle were expressed in terms of x (e.g., 3x and x, or some other terms x and 2x-5), then we could put these expressions in the form of a polynomial by multiplying them together. For example, if we suppose our rectangle has sides of 3x and x, then the area would be represented by the polynomial 3x2, which equals to 3x*x.

However, without specific rectangular dimensions, we can't accurately choose between the provided options: 3x2+2x−5, 3x2−5, 3x2−2x−5, and 3x2−8x−5.