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ki77a [65]
3 years ago
15

What is the value of the x variable in the solution to the following system of equations? 4x + 2y = 12 x – y = 3

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

all work is shown and pictured

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The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.
dimaraw [331]

Answer: -9

Step-by-step explanation:

Given

The sum of a number and two is equal to negative 7

Suppose x is that number

\therefore x+2=-7\\\text{add -2 both sides}\\\Rightarrow x+2-2=-7-2\\\Rightarrow x=-9

So, the number is -9.

8 0
3 years ago
A family spends 20% of its monthly income on fuel. If they spend $324 a month on fuel, which is their monthly income?
nasty-shy [4]

Your answer is $1620.

To solve this, first look at what we're given. $324 is spent a month on fuel, and fuel is 20% of their income. Therefore, $324 is 20% of the family's income per month.

Now, to solve this, we're looking for 100% of the family's income. 20% is 1/5 of 100%, so therefore $324 is 1/5 of the family's full income.

To get 100%, then multiply 20% by 5 to get 100%, and therefore multiply $324 by 5 to get the full income.

$324 * 5 = 1620, or your answer.

Good luck!

4 0
3 years ago
Read 2 more answers
0.7 is 5% of what number
Fudgin [204]
0.7 is 5% of the number 14.
4 0
4 years ago
Read 2 more answers
What is the rule to these ordered pairs
Anton [14]
The digits on the right side are half the value on the left ones
6 0
3 years ago
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Successful implementation of a new system is based on three independent modules. Module 1 works properly with probability 0.9, M
olga nikolaevna [1]

Answer:

The probability is 0.5086

Step-by-step explanation:

The probability P that at least one of these three modules will fail to work properly is calculated as:

P = 1 - P'

Where P' is the probability that all the modules works properly. So, P' os calculated as:

P' = 0.9 * 0.84 * 0.65

P' = 0.4914

Because 0.9 is the probability that module 1 works properly, 0.84 is the probability that module 2 works properly and 0.65 is the probability that module 3 works properly.

Finally, the probability P that at least one of these three modules will fail to work properly is:

P = 1 - 0.4914

P = 0.5086

8 0
4 years ago
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