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2 years ago

6

on Monday camila spent 4 2/6 hours studying on Tuesday spent another 3 5/6 hours studying what is the combined length of the tim

e she spent studying

1 answer:

erastova [34]2 years ago

5 0

She spent 8 1/6 hours studying

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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

I need help on this one.

Flura [38]

Answer:

1) 180 is a straight line, so 180 - 118 = <em>62</em>

2) 180 degrees are in a triangle, so 180 - (62) - 73 = <em>45</em>

3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = <em>86</em>

4 0

2 years ago

$850 flat fee for 31 to 50 guests

AlladinOne [14]

Answer:

gdhcskjsopqdw0fi9sdahjqa

Step-by-step explanation:

you stupio person you told on me your deab

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2 years ago

Find the non permissible replacement for y in this expression. y^2/ -3y+9

Lilit [14]

Answer:

Step-by-step explanation:

You have a fraction, so a non permited value is one which will create a 0 in the denominator.

-3y + 9 = 0

y = 3

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2 years ago

One third of the students in mes. Monroe’s class have pets. One half of these pets are dogs. What part of the students have dogs

Daniel [21]

Answer:

1/6

Step-by-step explanation:

1/3 times 1/2 = 1/6

6 0

3 years ago