Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
Answer:
c
Step-by-step explanation:
=16
![\sqrt[3]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D)
We are given the following measures:
mAB = 48°
mDC = 180°
In the given figure above, we can say that angle AVB is
an exterior angle which intercepts two arcs, arc AB and arc DC, therefore in
this case to solve for the measure of angle mAVB, we have to make use of the
formula which is in words:
Find the difference between the measures of the two
intercepted arcs and divide by 2, or expressed mathematically in this case as:
mAVB = (mDC – mAB) / 2
Substituting the given values into the equation:
mAVB = (180° - 48°) / 2
mAVB = 66°
Step-by-step explanation:
Look at the picture below
