In this problem situation:
- the independent quantity is <em><u>the money</u></em> Angela's grandfather gave her
- the dependent quantity is the <em><u>number of raffle ticket</u></em> Angela will buy.
An independent quantity is the quantity that affects or brings a change in a dependent quantity.
The dependent quantity is affected by the independent quantity. If the independent quantity changes, the dependent quantity will change.
The dependent quantity is dependent on the independent quantity.
<em><u>Let's relate it to the </u></em><em><u>problem situation</u></em><em><u>:</u></em>
- The amount of money Angela's grandfather gave her is unknown, therefore, the number of raffle tickets Angela can buy cannot be ascertain.
- If we know <em>how much Angela's grandfather gave her</em>, we can determine <em>how many </em><em>raffle tickets </em>Angela can buy.
- This implies that the number of raffle ticket Angela will buy is dependent on how much money her grandfather gave her.
Therefore, in this problem situation:
- the independent quantity is <em><u>the money</u></em> Angela's grandfather gave her
- the dependent quantity is the <em><u>number of raffle ticket</u></em> Angela will buy.
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brainly.com/question/19967540
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.
Answer:
5, 2, 1, 2, 5
Step-by-step explanation:
Answer: 4
Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.
Answer:
390
Step-by-step explanation:
