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
belka [17]
3 years ago
11

If the 10th of the 10 consecutive numbers is 10, what is their sum?

Mathematics
1 answer:
liq [111]3 years ago
7 0
Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number.  x+9 = 10, so x = 9.

Think of it this way:  there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55          (answer)
You might be interested in
7 2\3+ (5 1\6-1 5\9)
lorasvet [3.4K]
Start off with: 5 1/6 - 1 5/9
turn it into an entire fraction: 31/6 - 14/9
make a common denominator (which is 18): 93/18 - 28/18 = 93 - 28 = 65/18
65/18 + 7 2/3 is the new equation
7 2/3 = 23/3
23/3 = 138/18
65/18 + 138/18 = 203/18
Simplify: 203/18 = 11 5/18
Answer: 11 5/18  
3 0
2 years ago
Read 2 more answers
A formal garden has 3 sections of different colored tulips. Each section has 162 tulips.
Anettt [7]
486 if your looking for the total
3 0
2 years ago
Ecaluate 4 to the 3rd power​
ANEK [815]

Answer: 64

Step-by-step explanation: 4 to the 3rd means 4 times itself three times.

So we have 4 · 4 · 4 which is 64.

7 0
3 years ago
Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin
katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula A=P(1+\frac{r}{n})^{nt}

In this formula A = amount after time t

                        P = principal amount

                        r = rate of interest

                       n = number of times interest gets compounded in a year

                        t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 15000(1+.06)^{1}

= 15000(1.06) = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 20900(1+.06)^{1}

= 20900(1.06)=22154

So the final amount will be $22154.

3 0
2 years ago
Which area model can u use to fine * find 39 x73
sweet [91]
The area model you can use is D , cs 70 +3 & 30+9
3 0
2 years ago
Other questions:
  • I need help with slopes
    7·1 answer
  • Could someone by any chance help me with this problem?
    5·2 answers
  • Domain and range of (4,-4),(2,-3),(-5,1),(4,-1)
    7·1 answer
  • A shopper paid $51.93 including tax for an item marked $48.99. What would she pay for another item marked $75? Find the tax rate
    11·1 answer
  • Find the measure of angle AOB
    7·1 answer
  • Store A is offering four bottles of nail polish for $15. Store B is offering six bottles of polish $21. Find the cost per bottle
    14·1 answer
  • Which equation can be used to find 60 percent of 50?​
    12·2 answers
  • Given m||n, find the value of x.<br> +<br> (5x+2)<br> (4x+6)°
    7·1 answer
  • Which of the following are the Multiples of 6? *
    15·2 answers
  • ( −2 x^3) ^ 3 simplify
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!