Distance<-------------300--------------><-------------------x----------------->
⊕---------------------------------⊕--------------------------------------⊕ Express Freight Overtaking point
Speed 55 speed 30
Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:
Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:
Time (freight) = x/30 and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;
55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.
268 / 28 = 9.57
9.57 x 21 = 201
Therefore, the answer is 201.
A:
Table 1:
f(x) = 8x
X= cups so
ounces =
8* # of cups
Table 2:
f(x) =16x
X= pints so
ounces =
16*# of pints
Table 3:
f(x)= 32x
X= quarts so
ounces=
32*# of quarts
Note: another way instead of f(x)=kx is y=kx
B:
Depending on the slope we can easily find which is the steepest slope by easily comparing the slopes and seeing which is greater.
T1: 8
T2: 16
T3: 32
So, looking at our slopes, table 3 has the greatest slope because it has the greater slope out of the other two.
C:
The phrase, "rate of change" is another way to say the slope. To list again,
T1: 8
T2: 16
T3: 32
The table with the smallest slope would be table 1 since it is less than the other two tables.
I hope that helps, if you need any more assistance or you have any questions, please feel free to ask!!
Pls help or ill fail
BRAINLIST REWARD
1) Adrianna wants to purchase GoodLife membership.When she visits the website, shedecides she wants to purchase a plan that charges $25 per month and has an initial cost of $90.What is the linear equation that represents how much Adrianna has to pay GoodLife
2) Anthony wants to purchase a Disney+ subscription.He visits the website anddecides to sign up for a plan that charges $17 per month. If the plan has no initial cost, what isthe linear equation? How much will he spend after 5 months?
3) :Sebastian wants to purchase a Premium Spotify subscription to listen to musicoffline and without ads. The plan that he chose is $10 per month and costs $15 up front. Write alinear equation to represent the cost. How much will Sebastian spend after 1 year?
Answer: It's 3.8
Step-by-step explanation:
