Pls Help, Me give Brainliest plllllssssss I offer 56 points ppppppppppppppppplllllllllllllllsssssssssssssssss

Vladimir [108]

$a.\\\dfrac{12}{7}=\dfrac{k}{8}\ \ \ \ |\text{cross multiply}\\\\7k=12\cdot8\\\\7k=96\ \ \ \ |:7\\\\k=\dfrac{96}{7}\to k=13\dfrac{5}{7}$

$b.\\\dfrac{3}{4}(x+3)=9\ \ \ \ \ |\text{use distributive property}\\\\\dfrac{3}{4}x+\dfrac{3}{4}\cdot3=9\\\\\dfrac{3}{4}x+\dfrac{9}{4}=9\ \ \ \ \ |\cdot4\\\\3x+9=36\ \ \ \ |-9\\\\3x=27\ \ \ \ |:3\\\\x=9$

$c.\\\dfrac{4+m}{3}=\dfrac{5}{6}\ \ \ \ \ |\text{cross multiply}\\\\6(4+m)=3\cdot5\ \ \ \ |\text{use distributive property}\\\\6\cdot4+6m=15\\\\24+6m=15\ \ \ \ |-24\\\\6m=-9\ \ \ |:6\\\\m=-\dfrac{9}{6}\\\\m=-\dfrac{3}{2}\\\\m=-1\dfrac{1}{2}\to x=-1.5$

$d.\\\dfrac{5}{9}c-\dfrac{3}{4}=\dfrac{7}{9}c\ \ \ \ |+\dfrac{3}{4}\\\\\dfrac{5}{9}c=\dfrac{7}{9}c+\dfrac{3}{4}\ \ \ \ |-\dfrac{7}{9}\\\\-\dfrac{2}{9}c=\dfrac{3}{4}\ \ \ \ |\cdot\left(-\dfrac{9}{2}\right)\\\\c=-\dfrac{27}{8}\to c=-3\dfrac{3}{8}$

5 0

4 years ago

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2. Sam is paid $6.45 per hour for a 37.5 hour week plus 6% of sales for a week.

torisob [31]

Answer:

First, let’s calculate the money Sam makes per week, not including sales (or assuming $0 in sales):

money per week =$6.45/hour×37.5hours/week=$241.88/week

The money he gains from sales must make up the difference, so

money from sales =$400−$241.88=$158.12

This money is only 6% or 0.06 of the total sales though, so

total sales =$158.120.06=$2635.33

Of course, this is assuming that the money per week is rounded up from $241.875 to $241.88 instead of down to $241.87, in which case Sam would have to make $2635.50 in sales (about 17 cents more).

6 0

3 years ago

A simplified model for the movement of the price of a stock supposes that on each day the stock’s price either moves up 1 unit w

DanielleElmas [232]

Answer:

(a) The probability that after 2 days the stock will be at its original price is

$P_a=2p(1-p)$

(b) The probability that after 3 days the stock’s price will have increased by 1 unit is

$P_b=3p^2(1-p)$

(c) Given that after 3 days the stock’s price has increased by 1 unit, the probability that it went up on the first day is

$P=2/3$

Step-by-step explanation:

(a) What is the probability that after 2 days the stock will be at its original price?

For the price of the stock to be in its original price, there are two ways it can happen:

1) the price increases the first day by one unit and decreases by one unit the second day. The probability of this event is P=p*(1-p).

2) the price decreases the first day by one unit and increases by one unit the second day. The probability of this event is P=(1-p)p.

The probability that after 2 days the stock will be at its original price is the sum of the probability of this two events:

$P=P_1+P_2=p(1-p)+(1-p)p=2p(1-p)$

(b) What is the probability that after 3 days the stock’s price will have increased by 1 unit?

For this event to happen (one unit increase in 3 days), it must have happened 2 increases in price and 1 decrease.

There are 3 possible ways of this to happen:

1) decrease in the first day.

2) decrease in the second day.

3) decrease in the third day.

Each one ot this 3 events has the same probability $P_i=p^2(1-p)$ .

So the probability that after 3 days the stock’s price will have increased by 1 unit is equal to the sum of the probabilities of this events:

$P=P_1+P_2+P_3=3p^2(1-p)$

(c) Given that after 3 days the stock’s price has increased by 1 unit, what is the probability that it went up on the first day?

According to the answer (c), there are 3 events where the price has increase by one unit after 3 days, each one with equal probability $P_i=p^2(1-p)$ .

Of these 3 events, there are 2 that have an increase in the first day. So we can conclude that, if the events have the same probability, the probability of the increase in the first day, given that the price has increased by one unit in 3 days, is P=2/3.

8 0

4 years ago

Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How many did Bridget get?

babunello [35]

Answer:

35

Step-by-step explanation:

The 14 sweets Peter gets is 2 parts of the ratio, then

14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then

5 parts = 5 × 7 = 35 ← number of sweets Bridget gets

7 0

3 years ago

What is the square 256

Hoochie [10]

256² = (256)·(256) = 65,536

3 0

3 years ago

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