To solve his equation start by finding how many gallons of gas you need to purchase for the total trip.
Set up an expression that divides the total distance of the trip by the miles received per gallon.
This gives you:
400 / 35
Divide to get 11.43 gallons.
To find the cost of this, multiply the total number of gallons needed to cover the trip by the cost of each gallon.
Set this up in another expression.
This results in:
11.43 x 3.30
Multiply the values to find the total cost.
This leaves you with:
37.72
So, the total cost for gas for a 400 mile trip on 35 miles per gallon is $37.72.
I hope this is correct and helps you! :)
Answers:
Step-by-step explanation:
<em>We must simplify each option to see if they are equivalent to 
.</em>
<em>Lets try A.</em>
can be simplified to by dividing both the numerator and denominator by 3.
÷ 
A is correct!
<em>Lets try B</em>
simplifies to 
. However, because this answer is not negative, it is not equivalent.
<em>Lets try C</em>
There is a negative in the numerator, making this fraction negative. So yes, 
.
- Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive
C is correct!
<em>Lastly, Lets try D</em>
There is a negative in the denominator, so this fraction is negative. 
can be simplified by dividing by 3 to .
÷3 =
D is correct!
<em />
Answer:
x ≥ 1
Step-by-step explanation:
Solve the inequality by solving for x.
Solve:
-4(2x + 1) ≤ 3(x - 5)
Use the distributive property.
-8x - 4 ≤ 3(x - 5)
-8x - 4 ≤ 3x - 15
Subtract 3x from both sides.
-11x - 4 ≤ -15
Add 4 to both sides.
-11x ≤ -11
Divide both sides by -11, also flip the inequality since you're dividing by a negative number.
x ≥ 1
Your final answer would be x ≥ 1
To simplify 4/(2+7i), we multiply it by a fraction equal to one that removes the i value in the denominator. The best value to do this is the complex conjugate divided by itself, so we have 4(2-7i)/((2+7i)(2-7i)). Simplifying, we have (8-28i)/(4-(-49))=(8-28i)/53, which is a completely simplified fraction since 8 and 53 are relatively prime (or coprime), and there are no radicals in the denominator.
Answer:
A
Step-by-step explanation:
you have to times the number number of discs a box holds by the number of boxes
