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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)
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What is the Bill of Rights?
defon

Answer:

The list of laws that people of the United Stated needed to follow

Step-by-step explanation:

7 0
2 years ago
The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana sp
Nataliya [291]

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

4 0
3 years ago
Select all the correct equations.
Naya [18.7K]

Answer:

You did not post the options, but i will try to answer this in a general way.

Because we have two solutions, i know that we are talking about quadratic equations, of the form of:

0 = a*x^2 + b*x + c.

There are two easy ways to see if the solutions of this equation are real or not.

1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).

2) look at the determinant.

The determinant of a quadratic equation is:

D = b^2 - 4*a*c.

if D > 0, we have two real solutions.

if D = 0, we have one real solution (or two real solutions that are equal)

if D < 0, we have two complex solutions.

3 0
3 years ago
If A = 8! and B = 8P8, then which one of the following is true:
meriva

Answer:

A. A = B

Step-by-step explanation:

Given

A = 8!

B = ^8P_8

Required

Which of the options is true

We start by simplifying B = ^8P_8

Permutation is calculated as follows

^nP_r = \frac{n!}{(n - r)!}

So.

^8P_8 =\frac{8!}{(8 - 8)!}

^8P_8 =\frac{8!}{0!}

0! = 1; So

^8P_8 =\frac{8!}{1}

^8P_8 =8!

Hence. B! = P!

<em>This implies that </em>A = B = 8!<em />

4 0
3 years ago
Page
Marizza181 [45]
0.4 kilometers each week.
4 0
4 years ago
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