The inequality for the given situation is $1.75 + $0.25x ≤ $15; x ≤ 53 miles. Therefore, option A is the correct answer.
Given that, a cab charges $1.75 for the flat fee and $0.25 for each mile.
We need to write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.
Inequalities are mathematical expressions in which both sides are notequal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now, number of miles = (15-1.75)/0.25
=53 miles
According to the given question, the inequality is 1.75 + 0.25x ≤ 15 and x ≤ 53.
The inequality for the given situation is $1.75 + $0.25x ≤ $15; x ≤ 53 miles. Therefore, option A is the correct answer.
To learn more about inequality visit:
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Answer:
A
Step-by-step explanation:
= 4x - 11
x is the input, y is the output.
So if you want to know what input is needed to get an output of 10, set y to 10 and solve for x:
10 = 4x - 11
21 = 4x
x = 21/4
b) –2 – i
c) 2 + i
d) 2 – i
Answer
d) 2 – i
Explanation
f(x) = x³ – 2x²
When x = i, we proceed as follows.
Note: i =
i² =(√-1)(√-1) = -1
i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i
f(x) = x³ – 2x²
f(i) = i³ – 2i²
= -i – 2(-1)
= -i + 2
= 2 – i
Answer:
f(i)=2-i
d is the correct option.
Step-by-step explanation:
The given function is
Substitute x = i, to find f(i)
We can rewrite this as
Now, we know that. Thus, we have
On simplifying, we get
d is the correct option.
Answer:
Taking 2a common from the two terms of the equation
To factorize 6a + 10ab fully, we can factor out 2a from both terms, resulting in 2a(3 + 5b).
To fully factorize the expression 6a + 10ab, we can start by finding the greatest common factor (GCF) of the two terms. The GCF here is 2a, so we can factor out 2a from both terms:
6a + 10ab = 2a(3 + 5b)
Therefore, the fully factored form of 6a + 10ab is 2a(3 + 5b).
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The total track lap time of the runner is 2 2/5 minutes or 2.4 minutes.
The total track lap time of the runner can be calculated by summing up the individual time spent at each pace (run, jog, walk). Each pace's time is first multiplied by the fraction of the lap completed at that pace.
For the run, the calculation is 2/5 of 1 minute which is 2/5 minute.
For the jog, the calculation is 1/2 of 5 minutes which is 5/2 = 2 1/2 minutes or 2.5 minutes in decimal form.
For the walk, the calculation is 1/10 of 7 minutes which is 7/10 = 0.7 minutes.
Adding these times together gives a total of (2/5) + (5/2) + (7/10) = 12/5 = 2 2/5 minutes or 2.4 minutes in decimal form.
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