MATHEMATICS HIGH SCHOOL

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds using percentages how much better was her second lap when comapared to her first lap

Answers

Answer 1

Answer:

Answer:

Her second lap was 8% better when compared to her first lap.

Step-by-step explanation:

Given:

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.

Now, to find how much better was her second lap when compared to her first lap.

Emily ran her first lap in 75 seconds.

Emily ran her second lap in 69 seconds.

So, we get the difference in seconds:

$75-69=6\ seconds.$

Thus, in her second lap she was 6 seconds better than first.

Now, to get the percentage of her first lap better than second:

$(6)/(75)* 100$

$=0.08* 100$

$=8\%.$

Therefore, her second lap was 8% better when compared to her first lap.

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2x + 4y = 123x - 5y = 10
A. Write the equations in slope-intercept form. (Show your work.)
B. Graph the pair of linear equations.
C. Use the graph to estimate the solution to the system of equations.
Help??

Answers

A. The first equation in slope-intercept form is y = -0.5x + 3. The second equation in slope-intercept form is y = 0.6x - 2.

B. The graph of the two equations is attached below.

C. The solution of the system of equation is (4.545,0.727)

A. To write the equations in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to isolate "y" on one side of each equation.

1. 2x + 4y = 12

First, isolate "y" by subtracting 2x from both sides:

4y = -2x + 12

Next, divide both sides by 4 to get "y" by itself:

y = (-2x + 12) / 4

Simplify the equation:

y = -0.5x + 3

So, the first equation in slope-intercept form is y = -0.5x + 3.

2. 3x - 5y = 10

First, isolate "y" by subtracting 3x from both sides:

-5y = -3x + 10

Next, divide both sides by -5 to get "y" by itself:

y = (-3x + 10) / -5

Simplify the equation:

y = 0.6x - 2

So, the second equation in slope-intercept form is y = 0.6x - 2.

B. To graph the pair of linear equations, plot the y-intercept (where x = 0) and use the slope to find other points.

1. Graph the equation y = -0.5x + 3:

Plot the y-intercept at (0, 3).

Use the slope -0.5 to find another point; for example, if x = 2, then y = -0.5(2) + 3 = 2.

2. Graph the equation y = 0.6x - 2:

Plot the y-intercept at (0, -2).

Use the slope 0.6 to find another point; for example, if x = 3, then y = 0.6(3) - 2 = 0.

C. To estimate the solution to the system of equations, look for the point where the two lines intersect. This point represents the x and y values that satisfy both equations simultaneously. From the graph, we can interpret that the solution of the system of equation is (4.545,0.727)

To know more about equation:

brainly.com/question/29116504

#SPJ6

1) This format that the two equations are in is called Standard Form, and it's formula is Ax+By=C. Slope-Intercept Form is another form in which linear equations can be written. It's expressed as y=mx+b. See how in SIF (Slope intercept form), the "y" is isolated? All you have to do is isolate the "y" in both equations given to you.

2x+4y=12
-2x -2x
4y=-2x+12
/4 /4
y=-1/2x+3

3x-5y=10
-3x -3x
-5y=-3x+10
/-5 /-5
y=3/5x-2

2) To graph SIF, you need to know what each aspect of the equation is. The formula is y=mx+b.

m stands for slope. A great way to remember it is rise/run (rise over run). Basically, the numerator in "m" is how far up you go to graph each point, and the denominator is how far left or right you go (remember, left is negative, right is positive). Let me give you an example. y=3/5x. In this formula, to graph each point, on the line, you'd go up 3, and to the right 5, then plot a point, then up 3, right 5, plot another one... you get it. What if the equation was y=3x though? The slope would be 3/1, or up 3, right one.

You know how to plot the points, but what coordinate do you startat? That's where the Y-Intercept comes into play. The Y-Intercept is basically where the line crosses the Y-axis. The b in the SIF formula is the y-intercept, and where you plot your very first coordinate on the line. If the SIF equation was y=1x+3, your first coordinate would be on the y axis, at an elevation of 3. Since the y-axis is at x=0, the coordinate would be (0,3).

3) Look at the graph now. Where do the lines cross? The x should be somewhere between 4 and 5, and the y is somewhere between 1.5 and 2. Therefor, your "estimation" should be something like (4.5,1.75)

I really hoped this helped you! It took a while to write so I'd appreciate if you'd choose the Brainliest answer -- thanks!

How do I identify the lines of symmetry in a conic section?

Answers

lines of symmetry in a conic section : x = 0; y =0

Edgar buys a apples, b bananas, and ccantaloupes at the farmer's market. The prices
at the market are shown in the table.
Fruit
Price Each
Apples
$0.50
Bananas
$0.20
Cantaloupes
$1.50
Edgar has a coupon for a free apple. If he gets
5 apples, 4 bananas, and 2 cantaloupes, how
much money does he spend? TEKS A5(A)
A.1(E)
$2.20
$4.50
$5.80
$6.30