<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
Answer:
225 necklaces.
Step-by-step explanation:
Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.
t = b/12 ... where t is the total amount of necklaces and b is the number of beads you have
t = 2700 / 12
225 necklaces.
For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.
Answer:
He will have to save up for 7 weeks for the new video Game
Step-by-step explanation: Simple Math
Answer:
99.7%
Step-by-step explanation:
Note that 92 and 128 are 3 standard deviations from the mean
The emperical rule or the 68–95–99.7 rule states that 68% of outcomes are wihtin 1 standard deviation from the mean
95% of outcomes are within 2 standard deviations from the mean
99.7% of outcomes are within 3 standard devations from the mean
This is 3 standard deviations so the answer is 99.7
It is like if you have two number lines. Then one has a pointer at 0, and the other one has the pointer facing at 2 then it will be lesser because the first one has 0 or if it turned around it would be greater. If it is equal then it would have the same number, but watch out if it is a negative number.
