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Masteriza [31]
1 year ago
8

Which ordered pair makes both inequalities true?

Mathematics
1 answer:
kow [346]1 year ago
5 0

An ordered pair which makes both inequalities true is (-1, -3).

<h3>What is an ordered pair?</h3>

An ordered pair is a pair of two points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

Next, we would test the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-3, 5), we have:

y < –x + 1

5 < -(-3) + 1

5 < 3 + 1

5 < 4 (False).

For ordered pair (-2, 2), we have:

y < –x + 1

2 < -(-2) + 1

2 < 2 + 1

2 < 3 (True).

y > x

2 > -2 (True)

For ordered pair (-1, -3), we have:

y < –x + 1

-3 < -(-1) + 1

-3 < 1 + 1

-3 < 2 (True).

y > x

-3 > -1 (False)

For ordered pair (0, -1), we have:

y < –x + 1

-(-1) < -(0) + 1

1 < 1

1 < 1 (False).

y > x

-1 > 0 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

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What’s 433 rounded to nearest hundreds
MAXImum [283]

Answer:

400

Step-by-step explanation:

Looking at the number 433, we have to look at the number in the tens place (in this case, 3) to determine if we will round down to 400, or up to 500.

Because the number 3 is less than 5, we will round down to 400.

6 0
3 years ago
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A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65
TEA [102]

The inequality that represents the condition based on the number of grams of sugar is 35C + 30M ≥ 460

The  inequality that represents the condition based on the number of grams of flour is 50C + 65M ≤ 970

<u>Solution:</u>

Given, a cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.  

Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.

Let C denote the number of cupcakes she makes and M the number of muffins she makes.  

Now, let us write an inequality that represents the condition based on the number of grams of sugar.  

Total sugar used ≥ 460 grams.

Sugar used for cupcakes + sugar used for muffins ≥ 460 grams

Number of cupcakes x sugar used for 1 cupcake + number of muffins x sugar for 1 muffin ≥ 460

C \times 35 + M \times 30 ≥ 460

35C + 30M ≥ 460

Now let us write an inequality that represents the condition based on the number of grams of flour.

Total flour used ≤ 970 grams.

Flour used for cupcakes + flour used for muffins ≤ 970 grams

Number of cupcakes x flour used for 1 cupcake + number of muffins x flour for 1 muffin ≤ 970

C \times 50 + M \times 65  ≤ 970.

50C + 65M ≤ 970

Hence, the inequalities are 35C + 30M ≥ 460 and 50C + 65M ≤ 970.

4 0
3 years ago
Chose all of the values that are less than the mean of the data set shown.
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Answer:

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Step-by-step explanation:

did type just 4.9 but mb

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⚠️ HELP PLEASE ASAP!
Phoenix [80]

Answer:

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Multiplied by -6: -6(3-n)

-6(3-n) = 18

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7 0
3 years ago
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