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3 years ago

PLS HELP! Select all the expressions that are equivalent to 16x + 36

Mathematics

2 answers:

Papessa [141]3 years ago

7 0

Answer:

C and D

Step-by-step explanation:

Remember that when you are working with parentheses, you have to hand out whatever variable, sign, or number is outside of it.

Because 16 times 20 does not equal 36, we can say that A is not correct.

Because x(16 + 36) = 16x + 36x, B is not correct either.

Because 4(4x + 9) = 16x + 36, C is correct.

Because 2(8x + 18) = 16x + 36, D is correct.

Because 2(8x + 36) = 16x + 72, E is not correct.

Therefore, C and D are equivalent to the expression

Hope this helps :)

ExtremeBDS [4]3 years ago

3 0

Answer:

C and D

Step-by-step explanation:

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g$

Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

7 0

2 years ago

Solve using ELIMINATION (with step by step explanation) Please<br><br> 3x+y=-9<br> y=5x+7

Yuki888 [10]

Answer:

<h2>x = -2 (verified by algebra) ✅</h2>

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

7 0

3 years ago

Zack deposited $1,200 in a savings account that paid 7.75% simple

Eddi Din [679]

<span>The correct answer is: Option (C) $1393.21

Explanation:
At the beginning of the Second year, the total balance would be:

$1200 + ($1200 * 7.75 / 100) = $1293

At the beginning of the Third year, the total balance would be:
$1293 + ($1293 * 7.75 / 100) = $1393.21 (Option C)</span>

6 0

4 years ago

Read 2 more answers

Please answer fast!!!!

svetoff [14.1K]

Adjacent (two angles share 180)
180-61 (180-one angle=other angle)
119
:) You are welcome

8 0

3 years ago

Read 2 more answers

There are 14 people (p), on Ruby’s pirate ship including her. Everyone will be staying on the ship for 65 days. If everyone eats

Westkost [7]

Step-by-step explanation: