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2 years ago

Question 14 (1 point)

Mathematics

2 answers:

Trava [24]2 years ago

8 0

Answer:

150 = x

Step-by-step explanation:

We can use a ratio to solve

100 batches x batches

------------------- = ---------------------

8 hours 12 hours

Using cross products

100 * 12 = 8x

1200 = 8x

Divide by 8

1200/8 = 8x/8

150 = x

Vlad1618 [11]2 years ago

8 0

Answer:

150

Step-by-step explanation:

Find how many batches in one hour

100/8 = 12.5

Multiply 12 hours with 12.5 batches

12 x 12.5 = 150

So, in 12 hours 150 batches are made.

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What is the next term in the sequence?

-Dominant- [34]

Answer: 51

Step-by-step explanation:

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2 years ago

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A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of p

Katena32 [7]

Answer:

Number of plain cookie boxes sold = 785 boxes

Step-by-step explanation:

Given: Cost of a chocolate chip cookie box = $1.25

Cost of a plain cookie box = $0.75

Total number of boxes sold = 1585

Total cost of the sold boxes = $1588.75

Let, number of plain cookie boxes sold = x

Number of chocolate chip cookie boxes sold = 1585 - x

So,

Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes

$1588.75 = x ($0.75) + (1585 - x) ($1.25)

1588.75 = 0.75 x + 1981.25 - 1.25 x

0.5 x = 392.5

Therefore,

<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>

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2 years ago

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A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant prod

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Answer:

Step-by-step explanation:

Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

$\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}$

Substitute the points as x =n

$\frac{y-30}{28-30} =\frac{x-30}{34-30}\\y-30 = -0.5(x-30)\\y = -0.5x+45$

is the linear relationship between n and y

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2 years ago

Find the equation of the axis of symmetry of the parabola.

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Answer:

Just substitute 0 instead of f (x),therefore

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The answer option is C

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2 years ago

A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order

Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

b) $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

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2 years ago