Answer:
Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.
Step-by-step explanation:
Jamal's speed is of x mph.
Diego's speed is of (x + 7) mph.
Opposite directions.
This means that each hour, they will be x + x + 7 = 2x + 7 miles apart.
After 4 hours they are 68 miles apart, how fast is each traveling?
Using a rule of three.
1 hour - 2x + 7 miles apart.
4 hours - 68 miles apart.
Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.
Answer:
Step-by-step explanation:
Sting lights outlining the stage means that they will go around the perimeter, so we will need to find that. It gives us the area and the fact that the dimensions, length and width, will be whole numbers.
How do you find the area of a rectangle? you multiply length by width. So we need to find two numbers that multiply together to make 42. There re multiple pairs of numbers that do that, but the question is asking for what the least number of yards of string lights, so we need to find the values that make the perimeter the smallest.
Of course the perimeter is adding up all the sides. Since there are two lengths and two widths we can solve that like this
length + length + width + width
2* length + 2*width.
Now we just have to check all the options. What numbers multiply together to make 42?
2 and 21
6 and 7
14 and 3
Now we just have to check which gives the smallest perimeter
2*2 + 2*21 = 4 + 42 = 46
6*2 + 7*2 = 12 + 14 = 36
14*2 + 3*2 = 28 + 6 = 34
So the smallest perimeter is the second one, where one of the measurements is 6 yards and the other measurement is 7 yards. There's your answer.
There are 8 girls in the whole class.
32÷4= 8
1/4 = 8/32
We will call the number of tickets you sell and the number your friend sells . Given this, we can create the first equation, which is:
- This shows that the number of tickets you sold is equal to the number your friend sold + 14, which symbolizes that you sold 14 more tickets than your friend
We can also create the second equation:
- This shows that the number of tickets you sold along with the number of tickets your friend sold is equal to 58 tickets in total
Thus, our system would be: