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nydimaria [60]
3 years ago
6

Y varies directly affects if y equals negative five when x equals 15 find X when y equals three

Mathematics
1 answer:
Anni [7]3 years ago
6 0
Well,

We are given a direct proportion problem.

x varies directly as y.

\frac{x}{y}

When y = -5, x = 15.
\frac{15}{-5} \ or\  \frac{3}{-1}

Now, we are told to find x when y = 3.

\frac{x}{3}

We just have to recognize that the complete case is equal to the incomplete case.  In other words, we set the -3 equal to the x/3.

\frac{3}{-1} =  \frac{x}{3}

Multiply both sides by the LCM.
LCM of -1 and 3 = 3

-9 = x

When y = 3, x = -9.
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What is the slope?<br>if possible can you explain?​
Mandarinka [93]

Answer:

m =  \frac{4}{5}

Step-by-step explanation:

The slope of a graph is also known as its gradient, which is the steepness of the graph.

If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.

m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).

6 0
3 years ago
Kylo begins to fill up a bathtub at a steady rate. When the bathtub reaches 50 gallons at 15 minutes, Kylo
attashe74 [19]

Answer:

Please find a visual representation of the scenario generated with MS Excel

Step-by-step explanation:

The given data on how Kylo fills up the bathtub with water are;

The time it takes to fill the bathtub with 50 gallons of water = 15 minutes

The time it takes to drain 30 gallons from the bathtub = 5 minutes

The time it takes to add 5 gallons of hot water = 2 minutes

The time it takes for all the water to drain out = 4 minutes

The given scenario can be represented visually on the coordinate plane, as follows;

The y-axis represents the amount of water in the bathtub in gallons

The x-axis represents the time from the when Kylo begins to fill the bathtub

The coordinates of points in the visual representation of the given scenario are therefore;

At the start, the bathtub is empty;

y = 0, x = 0

Then we have;

\begin{array}{ccc}The \ Number \  of  \ Gallons, \,  y &Time &Cumulative  \  Time, \, x\\0&0&0\\50&15&15\\20&5&20\\25&2&22\\0&4&26\end{array}

Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario

5 0
3 years ago
Evaluate 8-m/n+p^2 when m=8 and n=2 and p=7
Lynna [10]

Answer:

-45

Step-by-step explanation:

8 - 8 / 2 + 7^2

PEMDAS Parenthesis Exponents Multiplication Division Addition Subtraction

Exponents 7^2 = 49

8 - 8 / 2 + 49

Division 8 / 2 = 4

8 - 4 + 49

Addition 4 + 49 = 53

8 - 53

Subtraction 8 - 53 = -45

-45

6 0
4 years ago
Which situation would not be represented by the integer -9?
Aneli [31]
The correct answer would be

A football pass of 9 yards
6 0
3 years ago
Evaluate: log7 343 NOTE: the equation is base-7
g100num [7]
To evaluate the equation <span> log7 343 (with base 7) , we pattern this to its standard form log a b (with base a). this expression is equal to log b over log a. In this case, the expression given is equal to log 343 / log 7. The answer to this problem is 3. 3^7 is equal to 343.</span>
8 0
3 years ago
Read 2 more answers
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