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True [87]
3 years ago
6

Explain why x = 5 makes 4x − 1 ≤ 19 true but not 4x − 1 < 19

Mathematics
2 answers:
NikAS [45]3 years ago
7 0

Answer:

Step-by-step explanation:

We can find the inequalities whether they are valid for x = 5 or not.

if 4x - 1 ≤ 19

Then for x = 5 ⇒ 4 × 5 - 1 ≤ 19

                            20 - 1 ≤ 19

                            19 ≤ 19

Since 19 = 19 so inequality is true for x = 5

Now 4x - 1 < 19 for x = 5

        4 × 5 - 1 < 19

         20 - 1 < 19

         19 < 19

It's not valid because 19 is not less than 19 .

svetoff [14.1K]3 years ago
5 0
Because its less than or equal to 19 and the other is just less than 
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AleksAgata [21]

Answer:

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

Step-by-step explanation:

Shauna is making accessories for the soccer team

For Headbands

She uses 513.48 inches of fabric on headbands for 40 player and 4 coaches

The total number of persons = 40 players + 4 coaches

= 44 persons

Hence:

44 persons = 513.48 inches

1 person = x

Cross Multiply

44x = 513.48 inches × 1

x = 513.48 inches/44

x = 11.67 inches per person

For Wristbands

She uses 372.40 inches of fabric on wristbands for just the players how much fabric was used on a headband and wristband for each player?

Number of players = 40

Hence

40 players = 372.40 inches

1 players = x inches

Cross Multiply

40x = 372.40 inches

x = 372.40 inches/40

x = 9.31 inches

Hence, 9.31 inches per player.

Therefore

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

5 0
3 years ago
Choose the correct sales price of the following item. An spark plug listed at $1.89, marked down 29%.
egoroff_w [7]
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In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the l
rewona [7]

Answer:

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Step-by-step explanation:

The first thing we would do is to draw the diagram using th given information.

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a = 714 cm

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To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse

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Answer:

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State if the triangles in each pair are similar.
natita [175]

Answer:

Option C) similar; SSS similarity; ΔABC

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