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3 years ago

AX + B = C what is X equal to?

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

5 0

Answer:

x is a variable

Step-by-step explanation:

what happens an squared plus B equals C and what I want to do is solve for a so again what we want to do is when we're taking solver a we want to isolate the variable get the variable by itself so the data that need to look at well what is happening on my variable a well you can see me as being multiplied by X and it's being added by B so I need to undo those but we got to make sure we undo them in a certain upper certain order which we call the reverse order of operations which is like the order of operations but the reverse method meaning I'm gonna undo addition or subtraction first so you can see that since my variable a is being added by B I need to undo that by subtracting B and I'll use my subtraction property of equality that's going to now subtract a 0 and then these C minus B are not like terms so I'm going to write ax is equal to C minus B now I need to solve for a so I need to look at and say alright my a is being x over X so the inverse operation of multiplying is dividing by X so therefore have a equals C minus B divided by X now sometimes you could say alright that's correct but we could also divide this X into both of these terms and I'm going to rewrite this in a different form I could say a equals C over X minus B over X alright so what I'm doing is are just dividing those through

hope this helps

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Gnesinka [82]

Answer:

C. –x + 8y = 56

Step-by-step explanation:

Write in standard form.

x − 8 y = − 56

This is a linear function in the slope - intercept form:

y = m x + b and we need a standard form:

a x + b y = c

y = 1/8 x + 7 / * 8 ( we will multiply both sides of equation by 8 )

8 y = x + 56

- x + 8 y = 56 / * ( - 1 )

x - 8 y = - 56

The equation is y = 1/8x + 7

Standard form equation is Ax + By = C, where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56

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3 years ago

Hey can someone help me ?

morpeh [17]

Sure what do u need help with?

6 0

3 years ago

Waitresses all want to work the "high roller" room at a local restaurant. There are six waitresses each evening assigned to one

Stells [14]

Answer:

The expected amount earned by a waitress per evening is $95.83.

Step-by-step explanation:

At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.

There are 6 waitresses working at the local restaurant.

The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.

This implies that a waitress can be assigned any of the six rooms with probability, $\frac{1}{6}$ .

The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.

So, the distribution of tips earned is as follows:

X: $200 $75 $75 $75 $75 $75

P (X): $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$

The expected value of a random variable is given by:

$E(X)=\sum x\cdot P (X)$

Compute the expected amount earned by a waitress per evening as follows:

$E(X)=\sum x\cdot P (X)$

$=(200\times \frac{1}{6})+(75\times \frac{5}{6})\\\\=\frac{575}{6}\\\\=95.8333\\\\\approx 95.83$

Thus, the expected amount earned by a waitress per evening is $95.83.

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