This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

$S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}$

6 0

3 years ago

You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 minutes to set up the game

Luba_88 [7]

Answer:

I think the equation is 7l +5=60

Step-by-step explanation:

7 0

3 years ago

Mr. Watson uses 10.5 gallons of gasoline to drive the first 313 miles of the trip. How many gallons of gasoline would he need to

adelina 88 [10]

450/313*10.5 = 15.09.... which is approx is 15

7 0

3 years ago

Solve the equation. x2 18x 81 = 25<br> a. 14, 4<br> b. –4, –14<br> c. 14, –14<br> d. –4, 4

Snowcat [4.5K]

Answer:

The answer is the option B

$-4,-14$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+18x+81=25$

$x^{2}+18x+56=0$

$a=1\\b=18\\c=56$

substitute in the formula

$x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(56)}} {2(1)}$

$x=\frac{-18(+/-)\sqrt{100}} {2}$

$x=\frac{-18(+/-)10} {2}$

$x1=\frac{-18+10} {2}=-4$

$x2=\frac{-18-10} {2}=-14$

7 0

3 years ago

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