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3 years ago

Find the supplement of 29°

Mathematics

1 answer:

Nonamiya [84]3 years ago

4 0

Answer:

151°

Step-by-step explanation:

Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.

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3x+6=-3(2x+4) Show your work

Lera25 [3.4K]

Answer:

$\boxed {x = -2}$

Step-by-step explanation:

Solve for the value of $x$ :

$3x + 6 = -3(2x + 4)$

-Use Distributive Property:

$3x + 6 = -3(2x + 4)$

$3x + 6 = -6x - 12$

-Take $6x$ and add it to $3x$ :

$3x + 6 + 6x = -6x + 6x - 12$

$9x + 6 = -12$

-Subtract both sides by $6$ :

$9x + 6 - 6 = -12 - 6$

$9x = -18$

-Divide both sides by $9$ :

$\frac{9x}{9} = \frac{-18}{9}$

$\boxed {x = -2}$

Therefore, the value of $x$ is $-2$ .

5 0

3 years ago

The school cafeteria offered a choice of pizza or nachos to sixth-grade students. Seventy-seven students chose pizza.This repres

romanna [79]

77= 35%

11= 5%

220= 100%

220 students

4 0

3 years ago

A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will

Lana71 [14]

<h3>There are 189 bacteria in 5 hours</h3><h3>There are 13382588 bacteria in 1 day</h3><h3>There are $10(1.8)^{168}$ bacteria in 1 week</h3>

Solution:

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

$r = 80 \5 = \frac{80}{100} = 0.8$

Determine how many will be in 5 hours

Substitute t = 5

$y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96$

y = 189

Thus, there are 189 bacteria in 5 hours

Determine how many will be in 1 day ?

1 day = 24 hours

Substitute t = 24

$y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588$

Thus, there are 13382588 bacteria in 1 day

Determine how many will be in 1 week

1 week = 168

Substitute t = 168

$y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}$

Thus there are $10(1.8)^{168}$ bacteria in 1 week

6 0

4 years ago

Mei Li has two pets. Her cat weighs 5 pounds 7 ounces. Her dog weighs 11 pounds 6 ounces. How much less does her cat weigh?

MrRissso [65]

She has 7 because 7 ounces left

4 0

2 years ago

A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` m

forsale [732]

Answer:

The answer is 72%

Step-by-step explanation:

54 out of 75 is a percentage of 72%.

$\frac{54}{75} = 72$

Mark me brainliest if possible, it's always appreciated!

Hope this helps!

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6 0

2 years ago

Find the supplement of 29°​

Find the supplement of 29°