Find the sum of the geometric series if n=6, r= 1/4, a = 2.

Trina, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead the group, and

Llana [10]

Answer:

1/3

Step-by-step explanation:

1/2 James' fraction of Michael

2/3 Trina's fraction of James

1/2 x 2/3 = 1/3

5 0

3 years ago

Which two numbers add up to be 8 and multiply to be -84

Kisachek [45]

Righ, so negative times positive=negative
negative+positive=positive
thereofr
positive>negative

factor -84 where the negative is smaller ex -12 and 13, not -14 and 10 so

-2 and 42 nope
fast forward
-6 and 14 yes
-6+14=8
so the numbers are -6 and 14

6 0

3 years ago

Which is the solution to (8.5 x 103)(2 x 105) expressed in scientific notation?

kenny6666 [7]

We have been given an expression $(8.5\times 10^3)(2\times 10^5)$ . We are asked to find the solution to our given expression expressed as scientific notation.

Let us simplify our given expression.

Using exponent property $a^m\cdot a^n=a^{m+n}$ , we will get:

$8.5\times 2\times 10^3\times 10^5$

$17\times 10^{3+5}$

$17\times 10^{8}$

Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:

$1.7\times 10\times 10^{8}$

$1.7\times 10^{1+8}$

$1.7\times 10^{9}$

Therefore, our required solution would be $1.7\times 10^{9}$ .

8 0

3 years ago

Tickets for a concert are $40 for main-floor seats and $25 for upper level seats. A total of 2000 concert tickets were sold. The

Tems11 [23]

Step-by-step explanation:

to show how many tickets were sold:

x = upper floor tickets

y = main floor tickets

x + y = 2000

to show total amount of revenue:

25x + 40y = 62,000

Finding answer using both equations:

x + y = 2000

multiply each side by 25

25x + 25y = 2000 × 25

25x + 25y = 50,000

25x + 40y = 62,000

-

25x + 25y = 50,000

-----------------------------------

15y = 12,000

^ this is column subtraction

^ this column subtraction is done to isolate y so we can work with one value rather than 2

15y = 12,000

divide each side by 15

12,000 ÷ 15 = 800

y = 800

x + y = 2000

x + 800 = 2000

x = 1200

Therefore 1200 upper-level tickets were sold

800 main floor tickets were sold

4 0

3 years ago

Preston has calculated that his drink coaster has an area of 78.5 square centimeters.What is the coaster’s radius? Use 3.14 for

Alexandra [31]

Answer:

The coaster’s radius is 5 cm

Step-by-step explanation:

Drink Coaster has a circular shape.

Area of a circle = π*r²

so, area of the drink coaster = π x (Radius of the drink coaster)²

Given that Area of the drink coaster is 78.5 cm²

∴ 78.5 cm² = π*r²

Also we are to use 3.14 for π

∴ 78.5 cm² = 3.14*r²

r² = 78.5 cm² / 3.14

r² = 25 cm²

r = $\sqrt{25}$ cm

r = 5 cm

Hence, the coaster’s radius is 5 cm

4 0

3 years ago