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earnstyle [38]
3 years ago
14

Please help ASAP 30 pts + brainliest to right/best answer

Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer:

x = 3^11

Step-by-step explanation:

log3(x) =11

Raise each side to the power of 3

3^log3(x) =3^11

This eliminates the log

x = 3^11

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if the school day starts at 8:50am and ends at 3:15pm. There is a playtime break at 10:40am until 10:55am and a lunch break from
geniusboy [140]
Lets add together breaks and all day long:
all day: from 8:50 to 15:15: that is 6 hours and 25 minutes, that is in minutes:
all day = 6*60 + 25 = 385 minutes

breaks:
play: 10:40 to 10:55: that is 15 minutes
lunch: 12:00 to 1:05: that is one hour and 5 minutes, or 65 minutes
breaks = 15 + 65 = 80 minutes

So the school day of work is: 385 - 80 = 305 minutes
That is 5 hours and 5 minutes

Remember, an hour is 60 mins.

4 0
3 years ago
there were a total of 16 people. children tickets cost $6 and adult tickets cost $9. She sent a total of $129. How many adults w
lara [203]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0
3 years ago
Read 2 more answers
Taylor works at a garden shop that sells flower pots. One kind of flower pot has a rim height of 6 centimeters and a planting he
Tom [10]

Answer:

The simplified algebraic expression to represent the height, h, of a stack in cm of n flower pots is h = 6·n + 22

Step-by-step explanation:

The given information are;

The rim height of one kind of flower pot = 6 cm

The planting height of the flower pot = 22 cm

Therefore, the total height of the flower pot = 22 + 6 = 28 cm

Stacking the flower pots of a single kind will give a linear relationship of the form, y = m·x + c between the height of the stack and the number of flower pots in the stack

Where;

m = The slope or the rate of change of the height with the number of flower pots in a stack which can be found from two points in the given table of values

c = The y-intercept or height at the start of the first stack

From the table of  values, for the first and the last points, we have;

m = (52 - 28)/(5 - 1) = 24/4 = 6

Which gives;

h - 52 = 6×(n - 5)

h = 6·n - 30 + 52 = 6·n + 22

h = 6·n + 22

Where;

h = The height of stack in cm

n = The number of flower pots

Therefore, by comparing to the general form of the equation of a straight line, y = m·x + c, the y-intercept, c = 22

The simplified algebraic expression to represent the height of a stack of n flower pots is therefore given as h = 6·n + 22.

7 0
3 years ago
What are the x- and y-intercepts of y=-3x -9?
Lady_Fox [76]

Answer:

x-intercept (-3,0)

y-intercept  (0,-9)

Step-by-step explanation:

The x-intercepts can be found by setting y to 0 and solving for x.

y=-3x-9

0=-3x-9

Add 9 on both sides:

9=-3x

Divide both sides by -3:

9/-3=x

-3=x

The x-intercept is (-3,0).

The y-intercepts can be found by setting x to 0 and solving for y.

y=-3x-9

y=-3(0)-9

y=0-9

y=-9

The y-intercept is (0,-9).

8 0
3 years ago
Read 2 more answers
Find the surface area of the prism.
anygoal [31]

Answer:

220 I'm pretty sure because 6×5 is 30 times 2 is 60. Then do 6×10 equals 60. Then do 5 times 10 times 2 to get 100. Then you add it all up to get 220

3 0
3 years ago
Read 2 more answers
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