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yuradex [85]
3 years ago
14

Solve the equation for y: 1 / 3 x + y equals 4 ​

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0

Subtract (1/3)x from both sides of the equation.

(1/3)(x) - (1/3)(x) + y = -(1/3)(x) + 4

0 + y = -(1/3)(x) + 4

y = -(1/3)(x) + 4

Done!

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So here's the question
Lesechka [4]
Yes, is subtraction, to get their "difference".

first off, let's convert the mixed fractions, to "improper", and then subtract.

\bf \stackrel{red~yarn}{9\frac{1}{5}}-\stackrel{blue~yarn}{3\frac{11}{25}}

\bf -------------------------------\\\\
\stackrel{mixed}{9\frac{1}{5}}\implies \cfrac{9\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{46}{5}}
\\\\\\
\stackrel{mixed}{3\frac{11}{25}}\implies \cfrac{3\cdot 25+11}{25}\implies \stackrel{improper}{\cfrac{86}{25}}\\\\
-------------------------------\\\\
\cfrac{46}{5}-\cfrac{86}{25}\impliedby \textit{our LCD is 25}\implies \cfrac{(5\cdot 46)~~-~~(1\cdot 86)}{25}
\\\\\\
\cfrac{230~-~86}{25}\implies \cfrac{144}{25}\implies 5\frac{19}{25}
4 0
4 years ago
Translation 4 right and 3 up
andreev551 [17]

Step-by-step explanation:

it gives x coordinate 4 and y 3

mark me brainliest if u have any doubt ask me

8 0
3 years ago
Read 2 more answers
A triangle has two sides of length 0.6 and 1.6. what compound inequality describes the possible lengths for the third side, x?​
Leona [35]

Step-by-step explanation:

two sides of length =0.6 and 1.6

lengths for the third side,X =?

= 0.6+1.6=2.2

lengths for the third side of X=2.2

6 0
3 years ago
The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the
vladimir1956 [14]

Answer:

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that p = 0.4

Eight traffic fatalities

This means that n = 8

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

3 0
3 years ago
An aquarium sells five stuffed animal sharks for $64.95. What is the cost of eight stuffed animal sharks?
Gekata [30.6K]
$103.92

Process:
64.95/5 = 12.99,  12.99 x 8 = 103.92
8 0
3 years ago
Read 2 more answers
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