3x+25=90
-25=-25
3x=65
x=26.6666666666666666666666
I hope this helps!
Answer:
The equation of this line would be y = 11x - 48
Step-by-step explanation:
To get this equation, we first have to find the slope. We do that with the slope eqaution.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 7)/(4 - 5)
m = -11/-1
m = 11
Now we can use this slope and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
y - 7 = 11x - 55
y = 11x - 48
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
<h3>Answer:</h3>
The Slope is 
<h2>Explanation:</h2>
Notice that both the points,
and
, are on the line. So we can use those points to calculate the slope. Recall that that slope of the line
can be calculated by
if we have the points,
and
.
<h3>Calculating for the slope of the line:</h3>
Given:



To solve for the total amount that Alice paid for the 3 yards cloth, multiply the cost per yard with the additional 5% to number of yards. 5% of 93 is 4.65. The total cost per yard of cloth is 97.65. Multiplying the total cost with 3 will give 292.95. Thus, Alice paid 292.95 dollars in total.