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Travka
1 month ago
7

Alliance Cannery has two assembly lines. One produces 24 cans of fruit per minute; the other produces 64 cans of vegetables per

minute. Alliance Cannery just received an order for 384 cans of food, which can be made up of a combination of fruit and vegetables. What two variables can you define to write an equation to match this scenario?
Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0

Answer:

Let x represent the time taken in minutes for canning fruit, and y represent the time in minutes for canning vegetables

Step-by-step explanation:

I hope this is helpful

Svet_ta [12.7K]1 month ago
5 0
Let x represent the number of cans of fruit produced, which is 24 per minute. Let y denote the number of cans of vegetables produced, which is 64 per minute. Let z be the total number of cans produced per minute, and let t be the time in minutes. The equation is given by z = (x + y)t. Thus, z = (24 + 64)t, simplifying to z = 88t, which represents the required equation. Knowing that z equals 384, we can solve for t: 384 = 88t, resulting in t = 4.36 minutes.
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12x+7<−11 AND5x−8≥4012
Svet_ta [12734]

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Handle each inequality separately.

12x+7              Utilizing the subtraction property of inequalities

12x

12x

x

x

and

5x-8\geq 40               Utilizing the addition property of inequalities

5x\geq 40+8

5x\geq 48

x\geq \dfrac{48}{5}

Thus, the solution to the combined inequality is the overlap of both solutions.

Refer to the attached image for the number line representation.

No solution

8 0
3 months ago
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Each trapezoid in the figure below is congruent to trapezoid ABDC.
Inessa [12570]

Response:

B: 32 cm

To clarify, one should only sum the external measurements

6+6+4+4+3+3+3+3=32 cm

3 0
2 months ago
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Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples t
AnnZ [12381]
Cubing both sides of an equation is a reversible process. Detailed explanation: Squaring both sides isn't reversible because squaring a negative number produces a positive result, thus making it impossible to retrieve the original negative base, as square roots of negative numbers do not exist within real numbers. In contrast, cubic powers allow for reversibility; the cubic root of a negative number remains negative. For example, if we cube both sides and wish to revert to the original equation, we can do so using the cubic root on each side. Hence, cubing both sides is reversible.
4 0
2 months ago
Zucchini plants require 9 square feet around each plant.
AnnZ [12381]
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In terms of head lettuces, since 1 square unit accommodates 4 lettuces, 9 square units can house 9 times 4, totaling 36 lettuces.

For plot QRST, the area is determined by multiplying its length by its width: 12 times 6 equals 72 square units.

With 36 vegetables available for every 9 square units, we can partition 72 by 9 to yield 8 plots of 9 square units.

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4 0
3 months ago
The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. The r
PIT_PIT [12445]

Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

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dV(t)/dt ∝ V(t)

dV(t)/dt = kV(t)

7 0
3 months ago
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