Answer:
Step-by-step explanation:
Hello!
To find the total length when it is 18 feet 3 inches, we must add both lengths:
18ft 3in + 18ft 3in = 36ft 6in
For the width, add: 10ft 8in + 10ft 8in = 20ft 16in, which converts to 21ft 4in
Therefore, l + w = 57ft 10in
I hope this is helpful:)
Answer:
Her age is 40 years
Step-by-step explanation:
Let Jerry's age be represented as j
Let Marjorie's age be denoted as m
The first part of the question states:
j = 4 + m/2
For the second equation:
m = 3j - 32
Multiply the first equation by 2 to get:
2j = 8 + m
Leading to m = 2j - 8
Set both equations for m equal to each other:
2j - 8 = 3j - 32
By simplifying, we get:
3j - 2j = 32 - 8
Therefore, j = 24
Now substituting back:
m = 2j - 8
m = 2(24) - 8
Thus, m = 48 - 8
Final result: m = 40
Answer: 11, 13
Explanation:
We need to identify two consecutive integers whose product is 143. If we let x represent the larger of the two integers, the smaller integer can be expressed as (x-2). Their product equals 143, which gives us
By solving the equation:
this results in a second-order equation with two real roots: x=13 and x=-11. We disregard the negative outcome, leaving us with x=13. Hence, the two numbers are
x=13
x=13-2=11
2(3x - 1) ≥ 4x - 6 | Initial equation
6x - 2 ≥ 4x - 6 | Distributing 2 across the parentheses
2x - 2 ≥ -6 | Removing 4x from both sides
2x ≥ -4 | Adding -2 to both sides of the equation
x ≥ -2 | Dividing each side by 2
Thus, x must be at least -2 for inclusion in the solution set.
