Imagine that points A, B, C and D are collinear and appears in that order from the left to the right. You want to find the measure of the first line segment AB. First, let's find the value of x.
BD = BC
5x + 26 = 2x + 1
5x - 2x = 1 - 26
3x = -25
x = -8.33
2(-8.33) + 1 = -15.67
So, BD=BC= -15.67
To find AB, the solution is as follows:
AC = AB + BC
43 = AB + (-15.67)
AB = 58.67
Answer:
Step-by-step explanation:
The inequality must be the absolute value of the difference between real mass and ideal mass less or equal to 0.08 ounces. That is to say:
There are two extreme cases:
and 
and 
Range of chocolate masses must be:
Answer:
sheesh focus on class next time
Step-by-step explanation:
smh ugh
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream
Equation1 ---- x + y = 50 (the sum of all the ice creams they sell)
Equation 2 ---- 3x + 5y = 180 Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides. (I could have done subtracted x - it did not matter). Now we have x= ₋ y +50 (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50
3 (-y +50) + 5y = 180
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1 is x+y=50 we can replace y with 15
x + 15 = 50 Now subtract 15 from both sides x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5 = + <u>75
</u> $180
