<u>Given</u>:
The given graph represents the cost of the Kayak's rental per hour.
The coordinates are (2,30) and (3,45)
We need to determine the unit rate of renting per hour.
<u>Unit rate of renting:</u>
The unit rate of renting can be determined using the formula,
Substituting the coordinates (2,30) and (3,45), we get;
Simplifying, we get;
Dividing, we get;
Thus, the unit rate for renting a Kayak is $15 per hour.
We begin with 100 mL of the 2% saline solution, and will add x mL of the 0.5% saline solution. The total volume of the mixture will be (100 + x) mL. The total mass of salt will be:
(100)(2%) + (x)(0.5%) = 2 + 0.005x
This would have to be 0.79% of the total volume:
(100+x)(0.79%) = 0.79 + 0.0079x
Equating:
x = 417.24 mL
Answer:
Return trip travel time: 7h
Step-by-step explanation:
Let d be the distance.
Index 1 refers to initial trip, index 2 refers to the return trip.
v1=70mi/h
v2=40mi/h
t2=t1+3h, or t1=t2-3h (travel times)
d=v1×t1=v2×t2
v1×(t2-3)=v2×t2
v1 t2 -3 v1=v2 t2
v1 t2 - v2 t2=3 v1
t2(v1-v2)=3v1
t2=3v1/(v1-v2)
Or
t2=3×70/(70-40)=3×70/30=7h
Answer: 7/12 of the beads are blue and green
Step-by-step explanation: To make both denominators of fraction 3/12 and 1/3 equal, you have to change both denominators to the lowest common denominator. Since the LCD (lowest common denominator) is 12 you have to multiply 1/3 by 4 to make the two denominators match.
1/3 x 4/4= 4/12
Then to find the total fraction of both green and blue beads on the necklace, you simply have to add the two fractions together.
4/12+3/12= 7/12
hope this helps :)
You can take any even number divisible by three and then double it for the denominator
