Select all possible values for x if −3x < 15. Select one or more: A. -11 B. -7 C. -5 D. 2 E. 9

Mathematics

2 answers:

Archy [21]4 years ago

5 0

Answer:

D and C

Step-by-step explanation:

Since a negative times a negative is a positive, the only possible values (of the ones listed) for x are positive values that are equal to or higher than 15, and are not correct. Since a positive times a negative is a negative, the two positive answer choices, 2 and 9 are both correct.

Thepotemich [5.8K]4 years ago

4 0

-3 x -11 = 33
-3 x -7 = 21
-3 x -5 = 15
-3 x 2 = -6
-3 x 9= -27

the sign < means smaller than.
-6 and -27 are smaller than -15.

This means that the answer is D & E

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Question 7

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$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with volume 769?3 ft³ , having a height of 15 ft

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We know that ,

$\bold{Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h }\\$

substituting the values in the formula stated above ,

$\bold{769.3 = \frac{1}{3} \times 3.14 \times r {}^{2} \times 15} \\ \\\bold{\implies r {}^{2} = \frac{769.3 \times 3}{3.14 \times 15} } \\ \\\bold{\implies r {}^{2} = \cancel\frac{2307.9}{47.1}} \\ \\\bold{ \implies \: r {}^{2} = 49} \\ \\ \bold{\implies \: r = 7 \: ft}$