Select the property that allows the left member of the equation to be changed to the right member . A(b+c)=ab+ac

carol spends 17 hours in a 2 week peiod practicing her culinary skills how many hours does she pratice in 5 weeks?

NNADVOKAT [17]

17/2 = 8.5 hours per week

8.5 x 5 = 42.5 hours in 5 weeks

7 0

3 years ago

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

(c)43 times

Step-by-step explanation:

Part A

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

Part B

$g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$

Part C

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0

3 years ago

There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co

artcher [175]

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

$x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2$

From equation 1:

$x = 740-y$

Putting in equation 2

$9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50$

Subtracting 7030 from both sides

$7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5$

Dividing both sides by -1.5

$\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365$

Putting y = 365 in equation 1

$x+365 = 740\\x = 740 - 365\\x = 375$

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

How do you solve 25n=70

alisha [4.7K]

You want to do to one side the same thing you do to the other side.

In order to get the n by itself you divide the 25n by 25. But in order to not change the answer you need to do the same to the 70.

$\frac{25n}{25} = \frac{70}{25}$

so n= $\frac{70}{25}$ which can be reduced to $\frac{14}{5}$

so n= $\frac{14}{5}$

5 0

3 years ago

Definition qualitative graph

kirza4 [7]

Answer:

Qualitative data is information about qualities; information that can't actually be measured. Some other aspects to consider about qualitative data:

Represented through pictures that explore the data in a visual way

Visual representations focus on the themes found in the data

Can tell a story

Can also be displayed graphically as a pie chart or bar graph, the same as quantitative data, however, this can be tricky and can be done incorrectly easily

3 0

3 years ago