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3 years ago

You had 250 minutes left on your cellphone and you talk an hour a week

Mathematics

1 answer:

hjlf3 years ago

3 0

Let w = the number of weeks you talked on your cell phone

60 min = 1 hr

60w + 250 = total number of minutes

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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

Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?

In-s [12.5K]

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

7 0

3 years ago

Which angle is a horizontal translation of the first angle?

grin007 [14]

Step-by-step explanation:

B becuase it keeps the same orientation and have the same distance from each point and they both produce rigid motion.

A is a reflection.

C is a dilation.

D is a rotation.

3 0

2 years ago

Find the value x ?<br> (2x -10degree) (3x +20degree)

slavikrds [6]

Answer:

If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2

(x^2)+24x+144=(9x^2)+120x+400

(8x^2)+96x+256=0

(x^2)+12x+32=0

(x+4)(x+8)=0

x= -4 or x= -8.

Else we have another method

x+12=3x+20

x+12–20=3x

x-8=3x,

Now square on both sides.

(x-8)^2=(3x)^2

x^2–16x+64=(9x^2)

(9x^2)-(x^2)+16x-64=0

(8x^2)+16x-64=0

(x^2)+2x-8=0

(x+4)(x-2)=0

x= -4 or x= 2.

But It Didn’t Satisfy for The Equation When

x=2 or x= -8,So The Value of x will be -4 which satisfies given question.

8 0

3 years ago

12 is what percent of 96

AysviL [449]

12.5
12=96x/100
x=(100*12)/96
x=1200/96
x=12.5

5 0

3 years ago