Answer: x ≤ 10
Step-by-step explanation:
20 + 13x ≤ 150
13x ≤ 150 - 20
13x ≤ 130
x ≤ 130 ÷ 13
x ≤ 10
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer: h= 5/g−3/2
Step-by-step explanation:
h= 5 over g minus 3 over 2
Answer:
5 3/4
Step-by-step explanation:
8 ounces is half (1/2) of a pound
1/2 is equivalent to 2/4
So I added 5 1/4 and 2/4
Which gives us 5 3/4
W - 2.76 = 6.7
isolate the W by adding 2.76 to both sides of the equal sign
W - 2.76 (+2.76) = 6.7 (+2.76)
W = 6.7 + 2.76
W = 9.46
9.46 is your answer
hope this helps
