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vlabodo [156]
3 years ago
10

Which value of x makes the inequality -* < 8 true?

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Answer:

D: x = 2

Step-by-step explanation:

Go down the multiple choices answers and plug each value in for x until the inequality is true:

A:

1/4(32) < 8

1/4 × 32/1 < 8

32/4 < 8

8 < 8

8 is not less than 8 so this is false (8 = 8).

B:

1/4(35) < 8

35/4 < 8

8 3/4 < 8

8 3/4 is not less than 8 so this is false (8 3/4 > 8).

C:

1/4(34) < 8

34/4 < 8

8 2/4 < 8

8 2/4 is not less than 8 so this is false (8 2/4 > 8).

D:

1/4(2) < 8

2/4 < 8

2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).

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What is the solution to this equation?
nikklg [1K]

Answer:Its A

Step-by-step explanation:-17+12=-5 I hope ive helped u Have an wonderful day or night!

8 0
1 year ago
The table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation. How much
pantera1 [17]

Using the principle of proportional relationship, the amount of weight lost by hedgedog in 120 days is 3.6 oz

<u>Proportional</u><u> </u><u>relationships</u><u> </u><u>are</u><u> </u><u>defined</u><u> </u><u>thus</u><u> </u><u>:</u>

  • y = kx
  • <em>k</em><em> </em><em>=</em><em> </em><em>constant</em><em> </em><em>of proportionality</em><em> </em>

Taking a piar of points :

-0.24 = 8k

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>8</em>

(-0.24/8) = k

k = - 0.03

Hence, hedgedog loses weight at a rate of - 0.03 oz per day.

<u>The</u><u> </u><u>amount</u><u> </u><u>of</u><u> </u><u>weight</u><u> </u><u>lost</u><u> </u><u>in</u><u> </u><u>120</u><u> </u><u>days</u><u> </u><u>:</u>

The proportional relationship = y = - 0.03x

<em>Substitute</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em>

y = -0.03(120)

y = - 3.6 oz

Therefore, the amount of weight lost in 120 days is 3.6 oz.

Learn more : brainly.com/question/25308816

5 0
2 years ago
2a^3+a^2–17–3a^2+a^3–a –80
adelina 88 [10]

Answer:

=3a^3−2a^2−a−97

Step-by-step explanation:

3 0
2 years ago
Is the square root of 37 rational or irrational
Mice21 [21]

An irrational numbers are numbers that cannot be expressed as simple fractions.

The square root of 37 is irrational.

Since it cannot be expressed as a simple fraction because if turned into a decimal

\sqrt{37} = 6.08276253

Answer = irrational.


Good Luck! :)

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8 0
3 years ago
A problem on a multiple-choice quiz is answered correctly with probability 0.9 if a student is prepared. An unprepared student g
lions [1.4K]

Answer:

0.08475

Step-by-step explanation:

The question above is a application of conditional probability.

The formula to use is Baye's Theorem for conditional probability.

From the above question we have the following information:

Probability of answering correctly when prepared = 0.9

Probability of not answering correctly when prepared = 1 - 0.9 = 0.1

Probability of choosing the right answer = 1/4 = 0.25

Probability of choosing the wrong answer = 1 - 0.25 = 0.75

Number of students that prepare for the quiz = 75% = 0.75

Therefore number of students that did not prepare for the quiz = 1 - 0.75

= 0.25

Hence,

The probability of not preparing but choosing the correct answer =

P[ not prepared | correct answer ]

Is calculated as :

P[ not prepared | correct answer ] =

(0.25 × 0.25)/(0.25 × 0.25) + (0.25 × 0.9)

= 0.08475

Therefore, the chance that Mr X did not prepare for the quiz but he gives the right answer = 0.08475

3 0
3 years ago
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