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3 years ago

Rewrite the following equation in slope-intercept form. 3x − 11y = 19

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

y = 3/11(x) - 19/11

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

$3x-11y-3x=19-3x$
$-11y=-3x+19$

Step 2: Divide both sides by -11.

$-11y/-11=(-3x+19)/-11$
$y=\frac{3}{11}x-\frac{19}{11}$

Therefore, the answer is y = 3/11(x) - 19/11.

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Find the value of x in the figure given that SU = 133. A) 7 B) 9 C) 11 D) 8

Alekssandra [29.7K]

Answer:

The answer is 9 (B)

Step-by-step explanation:

I got 9 because you have to plug in answer (7, 9, 11, 8) in each equation than add them both together. I first plugged in 7 for x in the equation 9x-5. I got 58. I plugged in 7 for x in the equation 5x+12 and got 47. When I added both the answers together I got 105. The answer was to low because SU has to be 133. I plugged in 9 for x in both equations then added them both and got 133 for SU. I hope this helps.

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3 years ago

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ladessa [460]

Answer:

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3 years ago

A pump fills a pool at the rate of 20 cubic meters in an hour. If each cubic meter of water costs $10, how many minutes will the

fomenos

The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.

The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.

You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.

It will take 90 minutes for the pump to use $300.

7 0

3 years ago

The weight of a nickel is 80% of a quarter. If a nickel weighs 5 grams how much does a quarter weigh?

muminat

Answer:

Weight of a quarter = 6.25 grams

Weight of a dime = 2.5 grams

Step-by-step explanation:

The weight of a nickel is 80%

The weight of a quarter or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams

Weight of a dime = 50% = 12 (weight of nickel) = 52 = 2.5 grams

8 0

3 years ago

Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,

mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

E[X] = $\frac{\textup{1+2+3+4+5+6}}{\textup{6}}$

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = $\frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}$

E[X²] = $\frac{1+4+9+16+25+36}{\textup{6}}$

E[X²] = $\frac{91}{\textup{6}}$

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

variance = 15.167 - 3.5²

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0

3 years ago