First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames...
L=h and R=10-1.5h where h is in hours....
The two flames meet when L=R so we can say:
h=10-1.5h add 1.5h to both sides
2.5h=10 divide both sides by 2.5
h=4
So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h..
L=4
So the position of the flames is 4" from the end. The questions ask how far this point is from the center so:
5-4=1"
So the flames meet 1 inch from the center.
Answer:
Peter should join <u>Lab thinkers</u> to receive a better deal.
Science buddies costs <u>190$</u> for six months.
Lab thinkers costs <u>170$</u> for six months.
Step-by-step explanation:
The equations are...
Science buddies: 10+30x -> 10+30(6)=190
Lab thinkers: 45+25x -> 45+25(6)=170
Peter saves 20$ if he chooses lab thinkers.
Sorry for my mistake, this is my new edit.
Answer:
5/4f i think
Step-by-step explanation:
300 parents
3/4 = x/400, and we are trying to find x.
Multiply the numerator and denominator of 3/4 each by 100 to make the denominator equal 400. This gives 300/400. So, 300/400 = x/400.
Multiply both sides of the equation by 400 to cancel out the division. This gives you 300 = x, so 300 parents said yes to the survey.
Answer:
0.88
Step-by-step explanation:
P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)
P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05
P(x≥2) = 0.88
Or, you can calculate it as:
P(x≥2) = 1 - P(x=1) - P(x=0)
P(x≥2) = 1 - 0.09 - 0.03
P(x≥2) = 0.88
