d =st
distance = speed * time
10 = 4.5 * t
divide each side by 4.5
10/4.5 = t
100/45 = t (can't have a decimal in a fraction so I multiply by 10/10)
divide top and bottom by 5
20/9
2 and 2/9 hours
to get minutes multiply 2/9 by 60
2/9 * 60
120/9
13 3/9
13 1/3 minutes
2 hours 13 1/3 minutes
to the nearest minutes
2 hours 13 minutes
Answer: m = 3/2, b = -5
Step-by-step explanation:
When we input these values into slope-intercept form y = mx + b, then we get y = 3/2x -5. When trying out different x values, we get the same points that are on the line such as (2, -2) also the y-intercept is -5, so we know it is a true statement and that the slope 3/2 and y-intercept -5 are the only correct answers for this line.
I know b is James, Olivia, Feng, Carmela
Answer:
75% of 352 children are boys
Step-by-step explanation:
If 5/6 of the people participaticipants to a concert are adults then 1 out of 6 prople are children so we may reach a number of 2112:6=352 children
if 25% of the children are girls then 75% are boys
88×3=264 boys
Answer:
83.3 g of 18-karat gold and 166.7 g of 12-karat gold
Step-by-step explanation:
24-karat gold is pure gold. The purity is 24/24 = 1 = 100% gold.
12-karat gold is 50% gold. The purity is 12/24 = 0.5 = 50% gold.
14-karat gold is 14/24 pure, so in 250 g of 14-karat gold the amount of pure gold is
14/24 * 250 g
The total weight of the bracelet is 250 g.
Let x = the weight of 18-karat gold.
Then the weight of 14-karat gold needed is 250 - x.
weight of pure gold from 14-karat gold + weight of pure gold from 18-karat gold = weight of pure gold in 14-karat gold bracelet
0.5 * (250 - x) + 0.75x = 14/24 * 250
125 - 0.5x + 0.75x = 7/12 * 250
125 + 0.25x = 7/12 * 250
1500 + 3x = 1750
3x = 250
x = 250/3
x = 83.3
250 - x = 250 - 83.3 = 166.7
Answer: 83.3 g of 18-karat gold and 166.7 g of 12-karat gold
