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3 years ago

9.

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Answer: 15+1.50x ≤ 30 ; less than or equal to 10 rides

Step-by-step explanation:

Subtract 15 on both sides. 15+1.50x ≤ 30
Divide 1.50 on both sides. 1.50x ≤ 15
x ≤ 10

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Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.

elixir [45]

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) $\sqrt{32} = 2^{\frac{5}{2} }$

$2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}$

Thus, the equation is TRUE.

(2) $16^{\frac{3}{8} } = 8^2$

$16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64$

Thus, the equation is FALSE.

(3) $4^{\frac{1}{2} } = \sqrt[4]{64}$

$4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}$

Thus, the equation is FALSE.

(4) $2^8 = (\sqrt[3]{16} )^6$

$2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256$

Thus, the equation is TRUE.

(5) $(\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\$

$8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4$

Thus, the equation is FALSE.

4 0

2 years ago

What is the area of the triangle in square yards?

True [87]

Answer:

DON'T LOOK AT THE PICTURE!!

Step-by-step explanation:

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2 years ago

A culture started with 5,000 bacteria. After 4

Tresset [83]

Answer: After 13 (12) hours, there would be 6,500 bacteria across the culture.

Step-by-step explanation:

The bacteria grew by 500 each 4 hours, so to know how much there would be 13 hours later:

Simple, add 500 bacteria to every 4 hours until you reach 13 hours. 4 = 5.5k, 8 = 6k, 12 = 6.5k. Now, 12 is closer to 13 than anything we would've gotten if we kept going.

And there's your answer.

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2 years ago

Fund the separate equation and angles between them

irga5000 [103]

Um, is there angles to look at, or an actual problem?

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2 years ago

the cost of a personal pizza is $4. a drink cost $1. Anna wrote the equation y=4x + 1 to represent the relationship between tota

valentinak56 [21]

The correct answer should be y=4x + 1d where x equals the number of personal pizzas, and d equals the number of drinks.

She didn't account for the number of drinks ordered for more than one meal.

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3 years ago

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