Answer:
a +b = 2
Step-by-step explanation:
a +3 = 6
a = 6 -3
a = 3
Plugin a =3 in the equation,
a*b +5*a +3*b + 15 = 24
3b + 5*3 + 3b + 15 = 24
3b + 15 + 3b + 15 = 24 {combine like terms}
3b + 3b + 15 + 15 = 24
6b + 30 = 24 {Subtract 30 from both sides}
6b = 24 -30
6b = -6 {divide both sides by 6}
b = -6/6
b = -1
a + b = 3 + ( -1)
= 2
He would’ve ran 286 miles in total.
Answer:
Nope! these ratios do not form a proportion
Step-by-step explanation:
if you use a calculator to divide 10/9, you get 1.111 repeating.
if you use a calculator to divide 17/15, you get 1.133 repeating.
<em>since 1.111 does not equal 1.113, </em><em>these ratios are not proportional. </em>
18 divided by 60 = 0.3
0.3 x 100 = 30
18 is 30% of 60
The volume of a cuboid is given by length × width × height
We have:
Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x
Substituting these into the formula, we have:
7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6
Drawing the graph is one way of finding the solution (refer to the graph below):
We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8
Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft
Converting 0.8 ft into inches = 0.8 × 12 inches = 9.6 inches
Answer: x = 9.6 inches