Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
Answer:
94 pizzas will be sold
Step-by-step explanation:
We have to use the equation and replace 15 with x.
x=15
y=3.4x + 43
y=3.4(15) + 43
y=51 + 43
y=94
(15,94)
There will be 94 pizzas sold nightly if 15 coupons were issued.
Answer:
C. 2
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)
= (1-(-5)) / (4-1)
= (1+5) / 3
= 6/3
= 2
Answer:
5x + 100
Step-by-step explanation:
(2x + 6) x 2 = 4x + 12
14x + 8 - 4x + 12 =
10x + 20 / 2 =
5x + 100
Hope that helps!
Answer:
1) 2 1/4 inches (2.25)
2) 5.3 millimeters
3) X=10 and YZ=60
Step-by-step explanation:
Number 1, you just add the measurements because n and q is the start and end of the line segment.
Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.
Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.
