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2 years ago

Expand the following expression by using the distributive method. 6(3b - 4c)

Mathematics

1 answer:

Kruka [31]2 years ago

8 0

18b - 24c because you multiply the outside with everything inside

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last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co

borishaifa [10]

Answer: $x+y\geq 1$ , $x>\frac{1}{4}$ , $x\geq 2y$ and $y\geq 0$

Step-by-step explanation:

Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ $x+y\geq 1$

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ $x\geq 2y$

Also, She spent more than 1/4 hour running on her wheel.

⇒ $x>\frac{1}{4}$

And, we know that number of hours can not be negative.

⇒ $y\geq 0$

Therefore, the complete system of inequality which shows the given situation is,

$x+y\geq 1$ , $x>\frac{1}{4}$ and $x\geq 2y$ , $y\geq 0$

Note: the feasible region ( covered by the given system) is shown in the below graph.

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2 years ago

the garza family drives to a state park. the remaining distance, in miles, to reach the state park is 285−60x , where x represen

alukav5142 [94]

285 - 60x ; where x represents the number of driving hours.

285 ⇒ The total distance to the state park.
60x ⇒ The number of miles driven after x hours.
60 ⇒ The number of miles driven after 1 hour.

y = 285 - 6x
y ⇒ The number of miles left to drive each day.

5 0

2 years ago

Read 2 more answers

Please Help! 50 points!!! (Dont spam my question ill report you)

Rina8888 [55]

Answer:

Step-by-step explanation:

1)The probability of success in each of the 58 identical engine tests is p=0.92

n = 58

mean, u = np = 58×0.92 = 53.36

2) The only value that would be considered usual for this distribution is 91. This is because it is the only value between the minimum and maximum value

3) n = 546

p = 17/100 = 0.17

Mean = np = 546×0.17= 92.82

4) n = 1035

p = 36/100 = 0.36

np = 1035 × 0.36 = 372.6

5) The probability of success is 0.2.

p = 0.2

q= 1-p = 1-0.2 = 0.8

n = 35

standard deviation =

√npq = √35×0.2×0.8 = 2.34

6) p = 0.25

q = 1-0.25 = 0.75

n = 5

Variance = npq = 5×0.25×0.75 = 0.9

7) n = 982

p = 0.431

q = 1 - p = 1 - 0.431 = 0.569

Variance = npq = 982×0.431×0.569= 240.8

8) n = 500

p = 84/100 = 0.84

q = 1-0.84 = 0.16

Standard deviation = √npq

Standard deviation = √500×0.84×0.16 = 8.2

8 0

2 years ago

Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + StartFraction b squared Over 4 a EndFractio

icang [17]

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

8 0

2 years ago

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The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region. 2 dot plots with number lines

JulsSmile [24]

Answer: b

Step-by-step explanation: cause I know the answer/ i did the quiz

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2 years ago