Answer: 12 3/8
10 1/2 + 10 1/2= 21
45 3/4 - 21 = 24 3/4
24 ÷ 2 = 12
Change the 3/4 into 8ths = 6/8
Divide that in half which gives you 3/8
So the length is 12 3/8
Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.
Step-by-step explanation:
Let x represent the number of ounces that a small bottle holds.
Let y represent the number of ounces that a large bottle holds.
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that
2x + 2y = 76 - - - - - - - - - - - - 1
The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that
4x + y = 83 - - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
4x + 4y = 152
4x + y = 83
Subtracting, it becomes
3y = 69
y = 69/3 = 23 ounces
Substituting y = 23 into equation 1, it becomes
2x + 2 × 23 = 76
2x + 46 = 76
2x = 76 - 46 = 30
x = 30/2 = 15 ounces
Answer:
36
Step-by-step explanation:
x+4y=8+4(7)=8+28=36
The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
(5,y)(8,-1)
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt ((8 - 5)^2 + (-1 - y)^2)
d = sqrt (3^2 + (-1 - 3)^2
d = sqrt (9 + (-4^2)
d = sqrt (9 + 16)
d = sqrt 25
d = 5
so ur points are : (5,-3)(8,-1)
