Answer:
x = -8
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That is the correct answer
Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
Answer:
answer for what...there isnt a question...
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
