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3 years ago

Nina ran 12 4/5 laps in 1/4 of an hour. At this rate, how many laps could she run in an hour? (Simplify your answer completely)

Mathematics

1 answer:

kozerog [31]3 years ago

5 0

i think the answer is 42 but i don’t know how to get in into its smallest form but i hope this helps

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Create an equivalent system of equations using the sum of the system and the first equation.

True [87]

Answer:

Step-by-step explanation:

x+4y=8

4x+y=2

add

5x+5y=10

so system is

x+4y=8

5x+5y=10

6 0

2 years ago

Select the correct answer. Which number has a repeating decimal form? A. 15 B. 11/25 C. 3/20 D. 2/6

ivanzaharov [21]

Answer:

Step-by-step explanation: im pretty sure that its b so there you go

4 0

2 years ago

Read 2 more answers

Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8

Gekata [30.6K]

First, let $(x,y)$ be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:
$\sqrt{(x-0)^{2}+(y-8)^{2}}$

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix, $y=c$ , is: $|y-c|$ . Since our directrix is y=-8, the distance to our point will be:
$|y-(-8)|$
$|y+8|$

Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
$\sqrt{(x-0)^{2}+(y-8)^{2}}=|y+8|$
$(\sqrt{(x-0)^{2}+(y-8)^{2}})^{2}=|y+8|^{2}$
$(x-0)^{2}+(y-8)^{2}=y+8$

Finally, we can expand and solve for $y$ :
$x^2+y^2-16y+64=y^2+16y+64$
$x^{2}-16y=16y$
$32y=x^{2}$
$y= \frac{1}{32} x^2$

We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span> $y= \frac{1}{32} x^{2}$

3 0

2 years ago

Charisse is buying two different types of cereals from the bulk bins at the store. Granola costs $2.29 per pound and muesli cost

valentina_108 [34]

Even though im not giving you grapahs, I can explain you the situation and I can shed you light inot this. Pay attention. Giveen the data we are going to use it like this <span>2.29x + 3.75y <= 7.00. Remember, you can't spend more money than 7.00, so whatever you buy has to be within 7.00$ or equal 7.00$. Since you're buying in pounds, and the amount varies, you have a variable there to indicate the price of each product depending on how many pounds of it you buy. Now, what you need to do is use this equation to graph and also solving part b by substituting in that value for y. I hope this can help you</span>

6 0

3 years ago

You mow the lawn to earn your allowance. Each time you mow the lawn you earn \$12$12dollar sign, 12. Write an equation for the n

horrorfan [7]

For this case, the first thing we must do is define variables.
m: number of times you cut the grass
d: amount of dollars you earn.
We now write the linear equation that models the problem:
d = 12m
The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
Answer:
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
d = 12m

6 0

3 years ago