Answer:
There are 3 adults in the family.
Step-by-step explanation:
The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.
We have to find the number of adults or the value of x by solving these equations.
equations are 8x + 4y = 32 -------(1)
16x + 12y = 72 --------(2)
Now we will multiply equation 1 by 3 and subtract it by equation 2.
(16x + 12y) -3(8x + 4y) = 72 - 96
16x + 12y - 24x - 12y = -24
(16x - 24x) + (12y - 12y) = -24
-8x = - 24
8x = 24
x = 3
Therefore, there are 3 adults in the family.
1347.25 just easily divide to get your answer. Nothing else :)
Answer:
59 degrees
Step-by-step explanation:
In the figure below, XZ is a diameter of circle A.
Since the Angles (5w+4) and (11w) forms a straight line, then:
Therefore, the arc measure of YZ will be:
Answer:
y = -x + 2
Step-by-step explanation:
We are asked to find the equation of a line
Step 1: find the slope
We are given two points
( 2 , 0) ( 6 , -4)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 2
y_1 = 0
x_2 = 6
y_2 = -4
Insert the values
m = ( -4 - 0) / ( 6 - 2)
m = -4 / 4
m = -1
Step 2 : substitute m into the equation
y = mx + c
y = -1x + c
Step 3: substitute any of the two points into the equation
Let's pick ( 6 , -4)
x = 6
y = -4
y = mx + c
y = -1x + c
-4 = -1(6) + c
-4 = -6 + c
c = -4 + 6
c = 2
Step 4: substitute c = 2 into the equation
y = mx + c
y = -x + c
y = -x + 2
Answer:
The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.
Step-by-step explanation:
Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.
Hope it helps.
