Answer:
Step-by-step explanation:
Let's say that the time it took him to get to work in the morning is t hours. Then the time it took him to get home in the afternoon must be 1 - t hours. We know that for any trip, distance equals rate times time or d = rt . That means that the distance he drove to work is given by , but we also know that the distance he drove to get home must be the same distance, because he took the same route (and, presumably, no one picked up him house and moved it while he was at work) so for the trip home we can say d = 30 × (1 - t) and since the distances are equal, we can say:
45t = 30 × (1 - t)
45t = 30 - 30t
45t + 30t = 30
75t = 30
t = 30/75
t = 2 /5 hour to drive to work at 45mph
Since , d = rt
d = 45 ×(2/5) = 18miles
Answer:
actual answer is 77.32 !
Step-by-step explanation:
In order to determine the value of x, consider that one of the interior angles of the triangle is given by:
180 - (4x - 18)
= 180 - 4x + 18
= 198 - 4x
Next, consider that the sum of the interioir angles of a triangle is equal to 180:
(2x + 6) + 36 + (198 - 4x)
= 2x + 6 + 36 + 198 - 4x
= -2x + 240
this is equal to 180:
-2x + 240 = 180
-2x = 180 - 240
-2x = -60
x = 60/2
x = 30
Hence, the value of x is x = 30
Complete question :
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
65 + 28H < 250
Number of hours Anand can afford = 6 hours
Step-by-step explanation:
Given the following information :
Initial hourly rate = $65
Hourly rate = $28
Number of hours worked (whole number) = H
Maximum budgeted amount to spend = $250
Therefore ;
(Initial charge + total charge in hours) should not be more than $250
$65 + ($28*H) < $250
65 + 28H < 250
Number of hours Anand can afford :
65 + 28H < 250
28H < 250 - 65
28H < 185
H < (185 / 28)
H < 6.61
Sinve H is a whole number, the number of hours he can afford is 6 hours
The formula for this is m = 4a + 2c, where c = number of children; m = number of meatballs; a = number of adults.
m = (4 x 10) + (2 x 5)
simplify,
40 + 10 = 40
The answer to this is 40 meatballs.
