So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:
20 fruits for $11.50
apples cost $0.50
bananas cost $0.75
let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:
0.50a + 0.75b = 11.50 ... so, the cost of apples bought plus the cost of bananas bought equals 11.50
note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).
a + b = 20
and your other equation
0.50a + 0.75b = 11.50
these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.
a + b = 20
a = 20 - b
now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6
6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.
a + 6 = 20 ... subtract 6
a = 14
14 apples and 6 bananas were bought.
Answer:
21.07 yd^2
Step-by-step explanation:
The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.
The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.
area of shaded region = area of rectangle - area of semicircle
A = LW - (1/2)(pi)r^2
A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2
A = 98 yd^2 - (1.57)(49 yd^2)
A = 98 yd^2 - 76.93 yd^2
A = 21.07 yd^2
7x12 = 84
So the answer is D.
Answer:
well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle
Step-by-step explanation:
Answer:
324, -972, 2916
Step-by-step explanation:
Divide a number by the previous number to find r.
r = -12/4 = -3
Multiply a number by r to find the next number.
-108 * (-3) = 324
324 * (-3) = -972
-972 * (-3) = 2916
Answer: 324, -972, 2916
