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2 years ago

9

Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many mor

e miles can lucas run per hour with his new rate

1 answer:

Finger [1]2 years ago

5 0

Answer:

He can run more 4.5 miles [total 13.5 miles in one hour]

Step-by-step explanation:

check the attachment for explanation

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Juan unloads 29 bags of pine mulch from each of his fathers 2 trucks. Together, the truck holds 2,262 pounds of pine mulch. What

Tamiku [17]

I think the weight is 78 pounds for each bag. I could be wrong.. I'm not sure. I did 2,262 divided by 29.

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3 years ago

Which is the graph of f(x) = (x + 3)(x - 2)?<br> 4

tangare [24]

Answer:

The line will cross through - 3, - 6 and 2

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3 years ago

Is 124 a whole number

Svet_ta [14]

Answer:

yes, fractions are like 1/2 or 3/6 but a whole number is not a part or a fraction such as 124.

Step-by-step explanation:

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3 years ago

Read 2 more answers

X - 4 is ≥ to 6. Whats the Answer?

MissTica

<span> x≥10
you add 4 to both sides</span>

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3 years ago

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago