Answer:
x=5
Step-by-step explanation:
for the work I use a website called symbolab.com and it does all the work and everything for you!
Answer:
1/4, 3/4
Step-by-step explanation:
First let's find how many marbles there are in total
6+10+8=24 marbles
Now we find the probability of drawing a blue marble
6/24=1/4 (There are 6 blue marbles)
The compliment is 3/4
Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
To find the area you multiply the length by the width.
W = the width, and you are told the length is 5 meters longer, so the length would be (W +5)
Now multiply those together to equal 20,000 square meters:
w(w+5) = 20,000
Answer:
Katie
Step-by-step explanation:
Use seconds as the standard unit to compare the speeds of the 4 runners
Tony is already in standard form and runs 12 ft/s
Katie:
450/30
15 ft/s
Frank:
1 mile = 5280 feet
5280/577
9.15 ft/s
Adam:
I minute = 60 seconds
880/60
14.67 ft/s