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kozerog [31]
3 years ago
12

Alyssa is saving up for a computer and knows she'll need to spend at least $750 to get the one she wants. She saves $80 each mon

th. How long will she need to save before she can go computer shopping? Which of the following inequalities could you use to solve this problem? A. x < 750 B. x 750 C. 80x 750 D. 80x 750
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

80x\geq 750

She'll need to save at least 10 months to be able to go buy the computer.

Step-by-step explanation:

Let

x ----> the number of months

we know that

The inequality that represent this situation is equal to

80x\geq 750

solve for x

x\geq 750/80

x\geq 9.4\ months

therefore

The minimum number of months is 10

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Which of the following is a solution to the following system of inequalities?
iren2701 [21]

Option D: (0,3) is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $y

Thus, we have,

Option A: (1,-1)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-1>0 is not true.

$y\leq 2 x+3 \implies -1\leq 5 is true.

Since, only one equation satisfies the condition, the coordinate (1,-1) is not a solution.

Hence, Option A is not the correct answer.

Option B: (-4,0)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies0>5 is not true.

$y\leq 2 x+3 \implies 0\leq -5 is not true.

Since, both the equations does not satisfy the condition, the coordinate (-4,0) is not a solution.

Hence, Option B is not the correct answer.

Option C: (3,-2)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-2>-2 is not true.

$y\leq 2 x+3 \implies -2\leq 9 is true.

Since, only one equation satisfies the condition, the coordinate (3,-2) is not a solution.

Hence, Option C is not the correct answer.

Option D: (0,3)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies3>1 is true.

$y\leq 2 x+3 \implies 3\leq 3 is true.

Since, both equation satisfies the condition, the coordinate (0,3) is a solution.

Hence, Option D is the correct answer.

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3 years ago
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Answer:

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Step-by-step explanation:

There are a total of 2 friends, if they have 3 cereal bars and want to split it equally then we simply need to divide the number of cereal bars by the number of friends which would give us the number of cereal bars that each individual will get, which will be represented by x

x = 3 / 2

x = 1 \frac{1}{2}

Finally, we can see that each friend will get a total of 1 and a half of a cereal bar.

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