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Olegator [25]
3 years ago
11

Sophie can type 128 words in 3 minutes. How many minutes will it take her to type 576 words

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

13. 5 minutes

Step-by-step explanation:

This is a simple proportion problem. Make two fractions where one item is always on the top and the other on the bottom.

\frac{3 min}{128 words} = \frac{x min}{ 576 words}

Now, cross multiply (multiply the two numbers diagonal from each other and divide  the diagonal with the x value)

576 x 3 = 1, 728

1, 728 / 128 = 13.5

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Answer:

Graph y≤150−x (shading down)

Graph y≥120− 7/11x (shading up)

Step-by-step explanation:

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3 years ago
What is the correct graph
zvonat [6]

Answer:

the first one. with two shaded dots and a line between them

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3 years ago
Please show me the steps of doing this question if you know how, ty.
dolphi86 [110]

The arc length is the product of the angle measure in radians and the radius.

... s = r·θ

So, the angle in radians is the ratio of arc length to radius.

... θ = s/r

To convert from radians to degrees, multiply by the conversion factor 180°/(π radians).

... y = s/r·(180°/π)

Then the angle is between

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and

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3 years ago
You treat your friend to lunch. The food bill was $30.24. A 7% sales tax will be added and you want to leave a 20% tip.
KiRa [710]

Answer:

a. $2.12

b. $6.45

c. $38.81

Step-by-step explanation:

a.

I'll convert 30.24 and 7% into fractions.

756/25 * 7/100

<em>Cross cancel 756 and 100 (GCF is 4)</em>

189/25 * 7/25

<em>Convert above into a single fraction</em>

(189 * 7)/(25 * 25)

<em>Multiply 189 by 7, then 25 by 25.</em>

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<em>Divide, then round to the nearest cent</em>

$2.1168 ≈ $2.12 in sales tax

b.

Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.

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<em>Multiply 50 by 5.</em>

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<em>Divide, then round to the nearest cent.</em>

$6.452 ≈ $6.45 in tip money

c.

This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.

$30.24 + $2.12 + $6.45

$32.36 + $6.45

You pay a total of $38.81 for lunch.

6 0
3 years ago
Pia built a rectangular prism with cubes. The base of her prism has 12 cm cubes. If the prism was built with 120 cm cubes, what
kotykmax [81]

Answer:

120 divided by 12 = 10

Step-by-step explanation:

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