Answer:
The length of the parallelogram is 18 meters
The width of the parallelogram is 16 meters
Step-by-step explanation:
The perimeter of a parallelogram is 68 meters
LEt x be the length of the parallelogram
Width is 2 meters less than its length
Width =x-2
Perimeter of parallelogram = 2(length + width)
Perimeter of parallelogram =
=
Add 2 on both sides
Divide by 4 on both sides
x=18
The length of the parallelogram is 18 meters
The width of the parallelogram is 18-2= 16 meters
A. you will have a 70% chance of getting a red fish.
B. there are 60 fish in the tank total
Answer:
Step-by-step explanation:
first graph the y-intercept. when x=0, y=-3, so graph a point at (0,-3). since this is a straight line, we only need to graph one more point to find the line. since the slope is -1/5, we can plug in 5 for x to find integer points. when x=5, y=-1/5*5 -3 = -1-3=-4. so another point on the line is (5,-4). then just connect the two points to find the line
Answer:
2x + 9 with a remainder of 45.
Step-by-step explanation:
If the divisor is x-5, use the divisor 5 in synthetic div.
Taking the coefficients 2, -1 and 4 from the dividend, we get:
------------------
5 / 2 -1 4
10 45
--------------------
2 9 49
This tells us that the quotient is 2x + 9 and that the remainder is 49.
Answer: 18 pies, 22 cakes
Step-by-step explanation:
Let the number of pies sold be represented by p.
Let the number of cakes be represented by c.
The information in the question can then be represented in an equation as:
p + c = 40 ........ i
10p + 8c = 356 ....... ii
Multiply equation i by 10
Multiply equation ii by 1
10p + 10c = 400 ....... iii
10p + 8c = 356 ....... iv
Subtract iv from iii
2c = 44
c = 44/2
c = 22
22 cakes were sold
Since 40 items were sold, the number of pies sold will be:
= 40 - 22
= 18 pies
