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Lapatulllka [165]
3 years ago
11

How do I evaluate (1/9)^3

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

1/729

Step-by-step explanation:

(1/9)^3

1/9×1/9×1/9

1/729

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Solve the following simultaneous equations.<br> 5x – 3y = 6<br> 3x + 4y= 21
ehidna [41]

Answer:

y  = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

  • y = 3

  • x = (6 + 3(3))/5 = 3
3 0
2 years ago
12. Currently, there are 350 students in the seventh grade at Winchester
sweet [91]

Answer:

Winchester Heights Middle School plan to have 385 students in the  upcoming school year.

Step-by-step explanation:

Total number of students in the seventh grade at Winchester  Heights Middle School = 350

For the upcoming school year, they are planning to  increase the number of seventh graders by 10%.

Rate of increase = r = 10% = 0.1

Formula :N(t)=N_0(1+r)^t

Where N_0= initial population = 350

r = rate of increase =0.1

N(t)=Population after t years

t = time in years

So, Population after 1 year = 350(1+0.1)^1 =385

Hence  Winchester Heights Middle School plan to have 385 students in the  upcoming school year.

5 0
3 years ago
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
3 years ago
What is the FDP of 0.3
exis [7]

Answer:

  0.3 = 3/10 = 30%

Step-by-step explanation:

The reading of the number as "three tenths" tells you how to write the fraction:

  0.3 = 3/10

You can also express the same value in hundredths. Of course /100 is just a long way to write %, so ...

  0.3 = 0.30 = 30/100 = 30%

0.3 = 3/10 = 30%

8 0
3 years ago
Find the equation of the line in slope-intercept form. m=− 4 7 through (14, 3)
fomenos
I think your answer is y=-4/7x+5
7 0
3 years ago
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