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Katyanochek1 [597]

3 years ago

12

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many cal

ories are in a 2 cups of cereal

1 answer:

Leona [35]3 years ago

7 0

Answer:

96 and 192 calories

Step-by-step explanation:

<u>Given</u>

72 calories in a 3/4 cup

<u>Divide both by 3/4 to find the unit rate:</u>

72:3/4 in 3/4:3/4
96 calories in 1 cup

<u>Then multiply both by 2 to get the calories for 2 cups:</u>

96*2 = 192 calories

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Solnce55 [7]

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3 years ago

∠ABD and ∠BDE are supplementary. Find the measures of both angles.

Gnom [1K]

Supplementary means that the angles have to add up to 180, so you have your equation.

180=5x+17x-18

198=22x

x=9

Then to find the measures of the angles, you plug x back in.

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4 years ago

Complete the steps to evaluate the following expression, given log3a = −0. 631. Log3 a 3.

Alexandra [31]

The completed steps to evaluate the given expression is $a = 3^{-0.631} \approx 0.5$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + \log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.
Log with base 10 is written as $\log(x)$ simply.

The considered equation is $\log_3(a) = -0.631$

$\log_3(a) = -0.631\\\\a = 3^{-0.631} \approx 0.5$ (from calculator).

Thus, the completed steps to evaluate the given expression is $a = 3^{-0.631} \approx 0.5$

Learn more about logarithm here:

brainly.com/question/20835449

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Anestetic [448]

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