Answer:
x=10, y = -20
Step-by-step explanation:
y = –5x + 30
x = 10
Substitute the second equation into the first
y = –5*10 + 30
y = -50 +30
y = -20
x=10, y = -20
Answer:
194 miles
Step-by-step explanation:
The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not. If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99. If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!). The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:
.92x + 15.99 = 194.47 and
.92x = 178.48 so
x = 194 miles driven
9514 1404 393
Answer:
1.63 cm (across the centerline from release)
Step-by-step explanation:
If we assume time starts counting when we release the weight from its fully-extended downward position, then the position at 1.15 seconds can be found from ...
h(t) = -7cos(2πt/4)
h(1.15) = -7cos(π·1.15/2) = -7(-0.233445) ≈ 1.63412 . . . cm
That is, 1.15 seconds after the weight is released from below the resting position, it will be 1.63 cm above the resting position.
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If it is released from <em>above</em> the resting position, it will be 1.63 cm <em>below</em> the resting position at t=1.15 seconds.
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Answer:
6 bracelets
Step-by-step explanation:
If she can make 3 in 15, just multiply by 2 to get 30 minutes. Therefore she can make 6 bracelets in 30 minutes.