Answer:
(a) We will form an equation of line from the points given (6,10) and (2,15)
Using:
On substituting the values in the formula above we will get the required equation of line.
On simplification we will get:
(b) We need to tell at day 0 put x=0 in above equation:
Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.
Now, we need to tell decrease per day which is equal to the slope of line
To find the slope compare the equation with general equation which is y=mx+c where m is slope
Here, in
which is the decrease per day.
Answer:
14 feet
Step-by-step explanation:
To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:
p = 2 * l + 2 * w
Now we know that the total fencing value is $ 976 and that per foot is $ 16
that is, we can calculate the value of the perimeter, like this:
976/16 = 61
We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:
61 = 16.5 * 2 + 2 * w
solving for w:
w = (61 - 33) / 2
w = 14
which means that the width of the patio is 14 feet.
Answer:
The probability of selecting a black card or a 6 = 7/13
Step-by-step explanation:
In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.
According to the question we need to find out the probability of black card or 6. So we can write it as:
P(black card or 6):
The probability of selecting a black card = 26/52
The probability of selecting a 6 = 4/52
And the probability of selecting both = 2/52.
So we will apply the formula of compound probability:
P(black card or 6)=P(black card)+P(6)-P(black card and 6)
Now substitute the values:
P(black card or 6)= 26/52+4/52-2/52
P(black card or 6)=26+4-2/52
P(black card or 6)=30-2/52
P(black card or 6)=28/52
P(black card or 6)=7/13.
Hence the probability of selecting a black card or a 6 = 7/13 ....
The numerator and denominator can be divided by 4 to get 12/25.
48 / 4 = 12
100 / 4 = 25
Answer:
9425
D
Step-by-step explanation:
They are in the third tax bracket down. That means that their joint income is over 67900 but less than 137050.
The base rate is 9350. But they are 68200 - 67900 = 300 over the minimum.
So 25% of that 300 is also to be paid to the government 25/100 * 300 = 75 dollars
Now they must pay 9350 + 75 = 9425
Answer D
