Answer:
x > 3
Step-by-step explanation:
Answer:
20 miles (Answer B)
Step-by-step explanation:
The northbound biker travels (4 mph)(4 hr) = 16 mi, and
the eastbound biker travels (3 mph)(4 hr) = 12 mi.
They travel at right angles to one another. Thus, the Pythagorean Theorem applies here. The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.
Answer B is correct.
Answer:
x=6 y=-9
Step-by-step explanation:
- Layer the equations on each other as you would in a subtraction problem:
8x + 2y=30
7x + 2y=24
- Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
- Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:
42+2y=24 then
2y=-18 then
y=-9
- Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
Answer:
B
Step-by-step explanation:
