All categories

2 years ago

6 soccer balls for $150

Mathematics

2 answers:

eduard2 years ago

4 0

the cost of one soccer ball is 150/6 or 25 dollars.

dsp732 years ago

3 0

150 times 6b is the equation

You might be interested in

The mean of a list of 80 numbers is 230. If four numbers 145,156,210, and 255 are added, what is the mean of the list of numbers

anygoal [31]

Add 145, 156, 210. and 255 then divide by 4. The mean equals 184.

7 0

2 years ago

Read 2 more answers

The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat

Oliga [24]

A geometric series is written as $ar^n$ , where $a$ is the first term of the series and $r$ is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by $r$ .

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

$6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots$ .

Let's use the other information, since the last term is $4374 > 6$ , we know that $r>1$ , otherwise the terms would be bigger and bigger.

The information about the sum tells us that

$\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558$

We have a formula to compute the sum of the powers of a certain variable, namely

$\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}$

So, the equation becomes

$6\cfrac{r^{n+1}-1}{r-1} = 6558$

The only integer solution to this expression is $n=6, r=3$ .

If you want to check the result, we have

$6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558$

and the last term is

$6*3^6 = 4374$

7 0

2 years ago

Martin had 7 pounds of grapes left, and he gave away 2 5 of them. Explain how to use compatible numbers to estimate the amount o

nalin [4]

Compatible numbers are numbers which are easy to do mental calculation. For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.

First, we know that: 7 pounds=5 pounds + 2 pounds

or 7=5+2

In mathematics, the word “of” means to multiply. So:

grapes given away = 7 * (2/5)

Replacing 7 with 5 and 2:

= (5+2)*(2/5)

Using the distribution principle:

=5*(2/5) + 2*(2/5)

=2+ 4/5

=2 4/5

So grapes given away is 2 4/5 pounds.

3 0

2 years ago

Read 2 more answers

Select all the expressions that are equivalent to –25(15 – 20d + 5c).

lbvjy [14]

Are there any choices to this problem?

5 0

2 years ago

A bank manager is interested in the average length of time that customers are willing to wait in line before they give up

romanna [79]

Note. The original question with options given on the bottom

Answer:

F - 1, B -2, A - 3, D - 4, C - 5, E - 6

Step-by-step explanation:

F. Sample

The 25 customers that the manager observed leave

B. Population

All of the bank's customers

A. Statistic

The average length of time that the 25 customers waited before leaving the bank

D. Parameter

The average length of time that all customers will wait before leaving the bank

C. Data

The list of times for the 25 customers who left the bank

E. Variable

The length of time a customer waits before leaving the bank

========================================================

Question

A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.

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

1. The 25 customers that the manager observed leave

2. All of the bank's customers

3. The average length of time that the 25 customers waited before leaving the bank

4. The average length of time that all customers will wait before leaving the bank

5. The list of times for the 25 customers who left the bank

6. The length of time a customer waits before leaving the bank

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

A. Statistic
B. Population
C. Data
D. Param eter
E. Variable
F. Sample

3 0

2 years ago