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1 year ago

Write two expressions where the solution is 41

1 answer:

6 0

Two consecutive numbers can be defined as x and y, but a better choice is x and x+1. . The product of the two numbers is: x(x+1). We are told this 41 more than the sum. The sum of the two numbers is: x + (x+1). . So the equation we need to solve is: . x(x+1) = x+(x+1)+41 . x^2 +x = 2x + 42 . subtract 2x from both sides . x^2 +x -2x = 2x-2x + 42 x^2 -x = 42 . subtract 42 from both sides . x^2 -x -42 = 42-42 = 0

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6 ice cream cones cost $10. How much does 9 cost

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1 year ago

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NEED HELP!!!! Based on this part of the soliloquy, which best describes Hamlet’s perception of life?

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Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches

nevsk [136]

Answer: There are 6 sections of $8\frac{1}{4}\ inches$ of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

$1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches$

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

$84-34.5=49.5\ inches$

According to question, the remaining rope should be cut into

$8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches$

So, Number of $8\frac{1}{4}\ inches$ sections of rope Mario can cut from the rope is given by

$\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6$

Hence, there are 6 sections of $8\frac{1}{4}\ inches$ rope Mario can cut from the rope .

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1 year ago

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1/4 of the roses are red, 1/3 of the remainder are yellow and the rest are pink. There are 24 more pink roses than red roses. Ho

Alika [10]

<h3>There are 96 roses altogether</h3>

Solution:

Let "x" be the number of roses

From given,

1/4 of the roses are red

$Red\ roses = \frac{1}{4} \times x\\\\Red\ roses = \frac{x}{4}$

1/3 of the remainder are yellow

$Remaining = x - \frac{x}{4}\\\\Remaining = \frac{3x}{4}$

Therefore,

$Yellow\ roses = \frac{1}{3} \times \frac{3x}{4}\\\\Yellow\ roses = \frac{x}{4}$

Rest are pink

$Remaining = \frac{3x}{4} - \frac{x}{4}\\\\Remaining = \frac{2x}{4}\\\\Remaining = \frac{x}{2}$

Therefore,

$Pink\ Roses = \frac{x}{2}$

There are 24 more pink roses than red roses

Therefore,

Number of pink roses = 24 + red roses

$\frac{x}{2} = 24 + \frac{x}{4}\\\\\frac{x}{2} - \frac{x}{4} = 24\\\\\frac{x}{4} = 24\\\\x = 24 \times 4\\\\x = 96$

Thus there are 96 roses altogether

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1 year ago

The constraint 5x 1 + 3x 2 ≤ 150 is modified to become a goal equation, and priority one is to avoid overutilization. Which of t

Kryger [21]

Answer:

c. Minimize P,d1+; 5x1 + 3x2 + d1+ = 150

Step-by-step explanation:

5x1 + 3x2 = 150. To convert an equality, we simply add an “artificial” variable (d1) to the equation: 5X1 + 3X2 + d1 = 150 An artificial variable is a variable that has no physical meaning in terms of a real-world LP problem. It simply allows us to create a basic feasible solution to start the simplex algorithm. An artificial variable is not allowed to appear in the final solution to the problem. Here in this problem to avoid over utilization, we introduce this artifical variable.

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1 year ago