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4 years ago

11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600

Mathematics

1 answer:

iragen [17]4 years ago

7 0

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.

If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

$Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}$

applying the formula:

$Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}$

So, the average after rounding off to nearest 1000 is 2000.

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Solve each equation for the indicated variable <br><br> g = c + x solve for x

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Step-by-step explanation:

g = c + x |<em>subtract c from both sides</em>

g - c = c - c + x

g - c = x → x = g - c

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3 years ago

Elsie would like to take snowboarding lessons at powder mountain. She has saved $550 for lessons and a junior season pass that c

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So, she has 550 dollars saved. If the junior season pass costs 315, you subtract that from 550. You should then have 235 dollars. Next, you divide 235 by 45 dollars per lesson, and you should get 5.22. You can't buy half a lesson, so she only has enough for 5 lessons.

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4 years ago

Read 2 more answers

Question 6 of 10

klemol [59]

Answer:

The correct option is C.

Step-by-step explanation:

The quadratic parent function is

$f(x)=x^2$

The translation is defined as

$g(x)=k(x+a)^2+b$ .... (1)

Where, k is vertical stretch, a is horizontal shift and b is vertical shift.

If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed vertically by factor |k|. Negative k represents the reflection across x axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5

Substitute a=-1 and k=5 in equation (1).

$g(x)=-5(x+(-1))^2+(0)$

$g(x)=-5(x-1)^2$

Therefore the correct option is C.

3 0

2 years ago

Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and

Aleonysh [2.5K]

Bunny Hill Ski
10x+35

Diamond Ski
5x+40

To find when both resorts cost the same prices set them equal to each other

10x+35= 5x+40
Minus 35 over
10x = 5x +5
Minus 5x over
5x = 5
X= 1

When x= 1 both of the resorts will cost the same price. You can check by substitute x with 1. Hope this helps!

5 0

4 years ago

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ

wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get $a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.

Log with base 10 is written as $\log(x)$ simply.

The equation given is:

$\log_3(x+5) = 2$

By using the definition of log, which says $a^b = c \leftrightarrow \log_a(c) = b$ , we get:

$(x+5) = 2^3$ or $2^3 = x+5$

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

Learn more about logarithm here:

brainly.com/question/20835449

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2 years ago