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Verdich
5 days ago
11

The quotient of a number and 12 is no more than 6 \

Mathematics
1 answer:
zzz [4K]5 days ago
4 0
Let’s denote the number as x, then
x/12 <= 6
x <= 6 times 12
x <= 72
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Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
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$6.48

Step-by-step explanation:

Initially calculate the 10% discount on $1.60, which results in $1.44. Then multiply $1.44 by 4.5 to find the total, yielding $6.48.

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Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal
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2.6 Puzzle time how can you make sure to start a fire with two sticks?
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Answer:

"Ensure that one of them is a match"

Step-by-step explanation:

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3 days ago
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
PIT_PIT [3919]

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

P=\frac{1}{10}x(300-x)

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10:

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

-x^2+300x-16100=0

Next, factor the quadratic:

(x-70)(x-230)=0

Solving for x gives:

x=70,x=230

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.


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