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Dmitry_Shevchenko [17]
3 years ago
15

Use the distributive property to solve the equation -4(x+3)=8

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

x=-5

Step-by-step explanation:

-4(x+3)=8\\\\(-4)(x)+(-4)(3)=8\\\\-4x+(-12)=8\\\\-4x-12=8\\\\-4x-12+12=8+12\\\\-4x=20\\\\\frac{-4x}{-4}=\frac{20}{-4}\\\\x=-5

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choli [55]
X=4 is your answer because 27 minus 7 is 20 and 20 divided by 5 is 4 have a good day
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Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)? 1 USD = 1.0343 AUD 1 AUD = 0.9668 USD
kakasveta [241]
The answer is 1 USD = 1.0343 AUD
because the ratio is 1 USD:1.0343 AUD
fraction is
1.0343AUD/1USD

use to cancel out units
1.0343AUD/1USD times 80 USD=82.744 AUD

the answe ris the first one

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3 years ago
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When multiplying and dividing two numbers in scientific notation, why do u sometimes have to rewrite one factor ?
zalisa [80]

You sometimes need to rewrite a factor because the lead number is not between 1 and 10 as it needs to be in scientific notation. For instance, if we had lead numbers of 2 and 5, as we do in the following problem.

2x10^3 * 5x10^9

Then we get the answer of 10x10^12. We need to adjust this by moving the decimal place and increasing the exponent by 1. The correct answer would be 1x10^13 instead.

5 0
3 years ago
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Consider the set n of positive integers to be the universal set. sets​ h, t,​ e, and p are defined to the right. determine wheth
noname [10]

Answer:

The sets E' and P' are not disjoint.

Step-by-step explanation:

Definition: Two sets are disjoint if their intersection is an empty set.

The sets are defined as follows.

\text{Universal Set}, U=\{n|n \in \mathbb{Z}^+\},$ where  \mathbb{Z}^+$ is the set of positive integers.

H=\{n|n \in \mathbb{N}| n>100\}\\T=\{n|n \in \mathbb{N}| n

We are to determine if the sets E' and P' are disjoint.

E' and P' are the complements of E and P respectively.

Therefore:

E'=\{n|n \in \mathbb{N}| n$ is odd$\}\\P'=\{n|n \in \mathbb{N}| n$ is not prime\}

The intersection

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7 0
4 years ago
Here is an easy one
kvv77 [185]
Remember that the angles of a triangle is 180 so:

(7x+8) + (5x+2) + (7x-1) = 180
7x+8+5x+2+7x-1=180
7x+5x+7x=180-8-2+1
19x=171
X= 171/19
X=9

Therefore x=9
7 0
3 years ago
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