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4 years ago

HELP PLEASE If L is the line through the point (-3,5) having a slope of 2/3 . Complete the equation of L

Mathematics

1 answer:

nalin [4]4 years ago

4 0

point slope form (y-y1) = m(x-x1)

y-5=(2/3)(x-(-3))

y-5=(2/3)(x+3) add 5 to each side and distribute

y= 2/3x +2/3 *3 +5

y = (2/3)x +2 +5

y = (2/3) + 7

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15 grasshoppers. 5+10

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3 years ago

(PLEASE HELP) Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $24

MariettaO [177]

Let x represent amount of money that Tony needs to deposit to avoid a fee.

We have been given that Tony has $727.29 in his checking account. He wrote a check for $248.50 today.

Let us find amount of money left in Tony's account after writing a check of $248.50 as:

$\$727.29-\$248.50$

After depositing x dollars in account, total amount of money in Tony's account would be $727.29-248.50+x$ .

Since Tony must maintain a $500 balance to avoid a fee, so amount of money is his account should be greater than or equal to 500.

We can represent this information in an inequality as:

$727.29-248.50+x\geq 500$

Therefore, our required inequality would be $727.29-248.50+x\geq 500$ and option C is the correct choice.

Let us solve for x.

$478.79+x\geq 500$

$478.79-478.79+x\geq 500-478.79$

$x\geq 21.21$

Therefore, Tony must deposit at-least $21.21 to avoid a fee.

8 0

3 years ago

The bill for dinner at a restaurant was $81.75. A sales tax of 7.5% was first added to the bill, and then an 18% gratuity will b

lina2011 [118]

Answer: 103.69/103.70

Step-by-step explanation: 7.5% of 81.75= 6.13. 81.75 + 6.13 = 87.88.

18% of 87.88 is 15.81 so, 87.88 + 15.81= 103.69 or if rounded up = 103.70

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3 years ago

All of the factory workers in a steel mill either purchased their breakfast in the company cafeteria or brought their breakfast

VladimirAG [237]

Answer:

Step-by-step explanation:

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3 years ago

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Anton [14]

Answer:

4.464 ml

Step-by-step explanation:

Given that:

mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml

The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:

$z=\frac{x-\mu}{\sigma}$

From the normal distribution table, the 9th percentile (0.09) corresponds to a z score of -1.34

$z=\frac{x-\mu}{\sigma}\\\\-1.34=\frac{x-5}{0.4}\\\\x-5=-0.536\\\\x=5-0.536\\\\x=4.464$

The dye amount that represents the 9th percentile of the distribution is 4.464 ml

5 0

3 years ago