Answer:
number of laps = 5/2 = 2.5 laps
Explanation:
First, we will need to convert the minutes to seconds.
5 minutes = 5 * 60 = 300 seconds
Now, we know that she can run 1/3 of a lap in 40 seconds. To know the number of laps that she can run in 300 seconds, all we have to do is cross multiplication as follows:
40 seconds .................> 1/3 laps
300 seconds ................> ?? laps
number of laps = (300 * 1/3) / 40
number of laps = (100) / 40
number of laps = 5/2 = 2.5 laps
Hope this helps :)
Answer:
Step-by-step explanation:
Each parrot gets 2 grapes in one day
In total: Lena gives her parrots(ALL FIVE OF THEM) 10 grapes all together
Answer:
with wut XD
Step-by-step explanation:
Answer:
He needs to gain more than 26 yards in order to break his record
Step-by-step explanation:
Let y stand for the number of yards he’ll have to gain. The sum of y plus the number of yards he already has (203) must be greater than 229 in order for him to break the record.
203 + y > 229 Set up the inequality.
203 − 203 + y > 229 − 203 Subtract 203 from both sides of the inequality.
y > 26
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
