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Neporo4naja [7]
4 years ago
13

Need help with number 7

Mathematics
1 answer:
tatyana61 [14]4 years ago
8 0

Since she runs 6\frac{1}{2} miles each day and there 7 days per week, you will have to multiply 6\frac{1}{2} times 7.

But since you have to use distributive properties, multiply like this (6\frac{1}{2})(7)

6\frac{1}{2} is equal to \frac{13}{2}

Now turn 7 into a fraction, so its \frac{7}{1}

Now multipy (6\frac{1}{2})(\frac{7}{1})

Multiply the numerators, so its 7 * 13 which gives you 91 and multiply the denominators so its 1 * 2 which gives you 2.

Put that back into a fraction as \frac{91}{2}

Divde it to change it to a mixed number and the answer is 45\frac{1}{2}

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The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters
Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, z \propto x , z \propto \frac{1}{y}

then the equation is in the form: z = k\frac{x}{y} where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e V \propto T , V \propto \frac{1}{P}

by definition of joint variation:

V = k\frac{T}{P}  .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

10 = k\frac{300}{1.5}

Simplify:

10 = 200k

Divide by 200 both sides we have;

k = \frac{10}{200} =\frac{1}{20}

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4

Therefore, the Volume of a gas is, 4 liters


5 0
3 years ago
Help needed asap! Must be answered using interval notation!
Elina [12.6K]

In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:

[-1, 3).

<h3>How to write the interval of values in the graph using interval notation?</h3>

First, remember that the symbols ( and ) are used for ends that do not belong to the interval.

For example, if our interval is 1 < x < 2

1 and 2 do not belong to the solution interval, thus, the solution interval is (1, 2).

While [ and ] are used when the ends belong. For example, in:

1 ≤ x ≤ 2

The interval notation is [1,  2]

And in:

1 < x ≤ 2

(1, 2]

And so on.

On the number line, the notation is:

  • Colored dot: the point belongs to the interval.
  • White dot: the point does not belong to the interval.

In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:

[-1, 3).

If you want to learn more about interval notation.

brainly.com/question/26025356

#SPJ1

4 0
2 years ago
Find the values of the variables
kogti [31]
Well to find the values of the variables, you would have to use the Pythagorean Theorem. The Pythagorean Theorem states that a²+b²=c². A being one side of the triangle, b being the other side, and c being the hypotenuse. The hypotenuse is the slanted and the longest side of a right triangle. So let's find the the total amount of x and y. 5+7=12 Just plug in the numbers into the equation 12²+5²=c² C would equal 13. So we know that x+y=13. If we plug in 7 and 5 into the equation (solving for y) 7²+5²=c², C would equal 8.6. To find x just do 13-8.6 and we get 4.4. So we know that y=8.6 and x=4.4. Hope I helped!
4 0
4 years ago
Write the equation to represent the new function. Translated 2 units left and 9 units down.
slava [35]

Answer:

y= -2x-9

x would move left or right, and up and down is y

left or down are negative and up or right are positive

Step-by-step explanation:

how this helps if do mark brainllest pls! :)

8 0
2 years ago
AAA construction company increases their work force from 12 workers to 20 workers in a year. What is the approximate percent inc
Sonbull [250]

Answer:

66.67

Step-by-step explanation:

20-12=8

8/12=0.6666667

0.6666667x100=66.67

7 0
3 years ago
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