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3 years ago

How do i solve this equation 5x-3y=12 for y

1 answer:

6 0

We have such equation
5x-3y=12 /-5x (subtract 5x both sides)
5x-5x-3y=12-5x
-3y=-5x+12 /:3 divide both sides by 3
-y= $\frac{-5x+12}{3}$ /*(-1) multiply both sides by -1
y=- $\frac{-5x+12}{3}$
y= $\frac{5x-12}{3}$ - its the answer

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Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

2 years ago

A video game randomly chooses your car color and type. The probability of getting a red car is 0.25, and the probability of gett

EleoNora [17]

In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then $P(A\&B)=P(A)\times P(B)$ . For our two events in this problem we have that $P(A)=0.25$ and $P(B)=0.40$ . If these two events are independent, then we should have that,

$P(A\&B)=P(A)\times P(B)\\P(A\times B)=0.25\times 0.4=0.1.$

.A and B are independent events if the probability of A and B is 0.1

6 0

3 years ago

Read 2 more answers

A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}$

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0

2 years ago

Reflect polygon P using line L

Maurinko [17]

Answer:

Just align it on the other side.

Step-by-step explanation:

Top right point, count how many units it is from the reflective line. Then count that many units on the other side and place the point. So on so forth.

5 0

2 years ago

Please see the image and help with this homework problem. thank you!

dimulka [17.4K]

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