PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!

Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 mil

nikklg [1K]

Answer:

562 = 85x +52

x is the number of days

Veronica traveled for 7 days

Step-by-step explanation:

562 = 85x + 52

510 = 85x Subtract 52 on both sides

6 = x Divide by 85 to isolate x

Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.

7 0

2 years ago

the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence

Crazy boy [7]

Answer:

The sequence is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms ( $S_{5}$ ) = 250

or, $\frac{n}{2} [{2a+(n-1)d}] = 250$

or, $\frac{5}{2} [2*10 + 4d]=250$

or, $\frac{5}{2} * 4[5+d]=250$

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0

3 years ago

The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received.

Readme [11.4K]

Answer:

Number of Ways = ₄P₄ = 24

Step-by-step explanation:

Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.

i.e

Number of Ways = ₄P₄ = 24

4 0

3 years ago

Please Help! will give Brainliest!

mixer [17]

1. The x-intercepts are x = 0 and x = 6. You can find these by looking for where the line crosses the x-axis. You can see here that it does so at 0 and 6.

2. The maximum value for this function is looking for the f(x) value at the highest point. In this case, you will see that f(x) at the highest point is 120. This happens at x = 3. Once again, this can be found just by looking for the highest point on the graph.

3. Since that is the absolute highest point, it is also the point where is goes from increasing to decreasing. As a result, we know the increasing interval is x<120 and the decreasing interval is x > 120.

4. Finally, the average rate of change between 3 and 5 is -30. You can find this by determining the amount of change in f(x) and dividing it by the amount of change in x. The basic formula is below.

$\frac{new f(x) - old f(x)}{new x - old x}$