Answer:
b=-1
Step-by-step explanation:
3(b+2)+2(b-3)=-5
3b+6+2b-6=-5
5b=-5
b=-1
Because 1/2 ≠ 1/6.
We know that 1/6 < 1/2, so we can set up an equation to see how many copies are needed for them to be equal.
(1/6)x = 1/2
[(1/6)x] × 6 = [1/2] × 6
x = 6/2 = 3
This equation shows that 1/6 × 3 = 1/2, therefore we need 3 copies of 1/6 to equal 1 copy of 1/2.
Answer:
312 miles
Step-by-step explanation:
Shannon’s motorcycle gets 26 miles per gallon.
We need to find m, the number of miles she can travel on 12 gallons of gas.
It means,
In 1 gallon = 26 miles
In 12 gallon = (26 × 12) miles
= 312 miles
Hence, it will travel 312 miles on 12 gallon of gas.
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the 
1. 
2. 
is common to both the triangles.
3. Two angles are common, so the third angle 
is also equal to 
.
All the three angles in the 
are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = 
units
Side AD = AE + ED
So, AD = 
Using the ratio:
So, AE = 43.2 units
Y varies directly with x means
y=kx or
y/x=k
see if that's true for all of them, if they all have same k value, it is direct variation
24/32=3/4
8/16=1/2
6/8=3/4
no
D is answer
