Answer:
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
We can represent this inequality as:
5 + 3x ≤ 50
Step-by-step explanation:
Whenever we are dealing with inequalities, a good trick is to solve the problem using an "equals to" sign and change it to the "inequality" sign at the last minute.
Let us assume that she carries x books.
The weight of her suitcase + the weight of all the 3-pound books must not be more than 50 pounds.
We can represent this inequality as:
5 + 3x ≤ 50
having said this, to find the value of x, which is the maximum number of books she is allowed to carry.
To do this, we replace the inequality sign with the "equals to" sign
5 + 3x = 50
from this, we have that
3x = 45;
x = 45/3
x = 15 books
From this, we can see that Charlene is not allowed to carry more than 15 books.
i.e x ≤ 15
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
I can’t calculate the mean of this data set without a data set
Answer:
litrally I don't understand what you are telling
P = L + L + w + w
72 = 2(L) + 2(L-4)
Distribute
72 = 2(L) + 2(L) - 8
Add like terms
72 = 4(L) - 8
Subtract 8 from both sides
64 = 4(L)
Divide both sides by 4
16 = L
The length is 16. Now substitute that in the equation for finding w.
w = L - 4
w =
Answer :
The value of q for, the given quadratic equation is 40
Step-by-step explanation :
Given quadratic equation as :
x² - 14 x + q = 0
And , Difference between the roots of equation is 6
Let A , B be the roots of the equation
So, A - B = 6
The roots of the quadratic equation ax² + bx + c = 0 as can be find as :
x =
x =
or, x =
Or, x =
So , The roots are
A =
And B =
∵ The difference between the roots is 6
So, A - B = 6
Or, ( ) - ( ) = 6
Or, ( - 7 + 7 ) + 2 ( = 6
Or, 0 + 2 ( = 6
∴ 196 - 4 q = 36
or, 4 q = 196 - 36
or 4 q = 160
∴ q =
I.e q = 40
S0, The value of q = 40
Hence The value of q for, the given quadratic equation is 40 . Answer