Answer:
x=4
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the equation.
x+3x+5=21
First, combine like terms. x and 3x are both terms with variables, and can be combined.
(x+3x) + 5=21
4x + 5=21
5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
4x+5-5= 21-5
4x= 16
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4=16/4
x= 16/4
x=4
Let's check our solution. Plug 4 in for x and solve.
x+3x+5=21
4+3(4)+5=21
4+12+5=21
16+5=21
21=21
This solution checks out, so we know our answer is correct.
x is equal to 4, x=4.
Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = 
← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = 
( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = 
← equation of variation
when A = 10 and C = 1.5 , then
10 = 
( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
Distance southward = 6x = 400, so x=66.66
total distance = 7x+x=8x = 533.33m
The picture is blurry and I can't read this
Answer: 3.5 h
Step-by-step explanation:
<u>1. Data:</u>
a) s = 740 miles / h
b) d = 2,567 miles
c) t = ?
<u>2. Equation:</u>
<u>3. Solution:</u>
- Solve the equation for t:
s = d / t ⇒ t = d / s
t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h
