Answer:
(5, 9)
Step-by-step explanation:
The distance between A and B is 1/3 the distance between A and C.
x coordinates:
3 − 2 = 1/3 (x − 2)
1 = 1/3 (x − 2)
3 = x − 2
x = 5
y coordinates:
-1 − (-6) = 1/3 (y − (-6))
5 = 1/3 (y + 6)
15 = y + 6
y = 9
The coordinates of point C are (5, 9).
Answer:
$
725.40
Step-by-step explanation:
Since, every day she works from 6:15am to 4:15pm
this will put her working to 10 hrs a day and subtracting 1 hr break, the total working period would be 9 hrs a day.
And, total working hours per week would be (9*5) hrs = 45 hrs
thus, her total salary per week would be $(45*16.12) = $725.40
Answer:
Each Caramel Macchiato is $5.60
Step-by-step explanation:
You could write the equation 5x+7=35
x stands for the price of each macchiato
the +7 is the $7 left-over after getting 5 macchiatos.
Then solve the equation.
1) subtract 7 on both sides
5x=28
2) divide by 5 on both sides
x=5.60
1) 2a = 9b ⇒ 2:9
2) a + b = 3b ⇒ a = 2b ⇒ 1:2
Answers: 2:9 and 1:2
Answer: Jacob's second jump was 6 1/3 feet
Step-by-step explanation:
On his first jump, he jumped 7 2/3
feet. We would convert each mixed fraction to improper fraction
to enable easy addition and subtraction. Converting 7 2/3 feet to improper fraction, it becomes 23/3 feet.
His second jump was 1 1/3 feet shorter. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet.
Therefore, the distance that Jacob covered on his second jump would be
23/3 - 4/3 = 19/3 feet
Converting 19/3 feet back to mixed fraction, it becomes
6 1/3 feet
