1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr1967 [171]
3 years ago
12

An Arithmetic series has 20 terms. The first term is -81. The sum of all the terms is -480. Use the arithmetic sum formula to fi

nd the last term
Mathematics
1 answer:
timama [110]3 years ago
4 0

Answer:

The last term is 33.

Step-by-step explanation:

Sn = (n/2)(a1 + L)    where a1 = first term and L = the last.

So:

-480 = (20/2) ( -81 + L)

-480 = 10( L - 81)

L- 81 = -480 / 10 = -48

L = -48 + 81

L = 33.

You might be interested in
X=-4 +6+ (11 +4(-3))
lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

4 0
2 years ago
Anyone mind helping me out?
Igoryamba

Answer:

611 square miles

Step-by-step explanation:

Area of triangle = (1/2)*a*b*sinC (formula when u are not given the height of the triangle, but u are given with the angle.)

= (1/2)*30*47*sin(60°)

= 610.54 square miles (2 d.p)

≈611 square miles (rounded to nearest mile)

:)

4 0
3 years ago
Why do the probability of an event and the probability of its complement add up to 1
Ad libitum [116K]
<span>the probability of an event and the probability of its complement add up to 1 because the total events are the even it self and its compliment, so its probability equal to 1 because these are all the possible events that will occur. for example a coin toss, an event head will happen 0.5, and its complement is tails which will also happens 0.5</span>
5 0
3 years ago
What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20
HACTEHA [7]
Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0
1 year ago
Having some trouble with this...pls help (in fraction form)
Yuri [45]

Answer:

\frac{17}{6} or 2\frac{5}{6}

Step-by-step explanation:

1.Find the Least Common Denominator (LCD)

 LCD = 6

2.Make the denominators the same as the LCD.

   2+\frac{1*3}{2*3}  + \frac{1*2}{3*2}

3.Simplify. Denominators are now the same

   2+\frac{3}{6} + \frac{2}{6}

4. Join the denominators

   2+\frac{3+2}{6}

5.Simplify

   2\frac{5}{6} = \frac{17}{6}

4 0
3 years ago
Other questions:
  • Find f(2) and f(a+h) when f(x)=3x^2+2x+4
    8·1 answer
  • 1. A parachutist is 800 feet above the ground when she opens her parachute. She then falls at a constant rate of 5 feet per seco
    7·1 answer
  • Amelia and Elliott are collecting empty soda cans for recycling. Amelia has 13 less than 5 times the cans that Elliott has. Toge
    8·1 answer
  • 2 years, 28 years, 2 years, 20 years, 22 years
    13·1 answer
  • A football team carried out a report to see the impact of stretching on preventing injury. Of the
    13·1 answer
  • Rolling two number cubes and tossing one coin
    7·1 answer
  • Find the roots of the following function:<br><br> y = x2 − 7x − 30
    6·1 answer
  • What is the image of the point (-1,-3) after a rotation of 90 ∘ counterclockwise about the origin?
    7·1 answer
  • Terrence is learning how to play the piano. Each lesson costs $18.50, and he usually pays for a whole month in advance. If he ha
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%281-2%29%2B%5Csqrt%281%2B2%29%5C%5C" id="TexFormula1" title="\sqrt(1-2)+\sqrt(1+2)\\"
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!