You must drive more than 40 miles to make option A the cheaper plan
<em><u>Solution:</u></em>
Two payment options to rent a car
Let "x" be the number of miles driven in one day
<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>
25 cents is equal to 0.25 dollars
OPTION A : 20 + 0.25x
<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>
50 cents equal to 0.50 dollars
Option B: 10 + 0.50x
<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>
For option A to be cheaper, Option A must be less than option B
Option A < Option B
Solve the inequality
Add -0.50x on both sides
Add - 20 on both sides,
Divide both sides by 0.25
Thus you must drive more than 40 miles to make option A the cheaper plan
Answer:
y = 6 + 4x
After 4 years, the tree would be 22 ft tall.
Step-by-step explanation:
Hi there!
Let x = the number of years that pass
Let y = the height of the tree (ft)
We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.
Height of tree = 6 feet + 4 feet × number of years that pass
y = 6 + 4x
To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:
y = 6 + 4(4)
y = 6 + 16
y = 22
Therefore, the tree would be 22 ft tall.
I hope this helps!
The answer will be D 15m+2n
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
