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3 years ago

30 out of 600=____ %

Mathematics

1 answer:

sasho [114]3 years ago

3 0

Step-by-step explanation:

let % be X

30 = x% of 600

30 = x × 600 / 100

x = 30 × 100 /60

x = 5

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Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensio

galben [10]

Hey!
So when there is a scale factor you would always multiply it with the original dimensions, even if it wasn't a fraction.
so 4 time 1/5 is 0.8
and 6 times 1/5 is 1.2
so the dimensions of the model bed is 0.8 foot by 1.2 feet
Your answer is A!
Hope this helps!

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3 years ago

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kotegsom [21]

Answer:

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3 years ago

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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3 years ago

The waiting time to ride a roller coaster is 20 minutes one 150 people in line. How long is the waiting time when 1200 people ar

Serjik [45]

I’m not *completely* sure if this would be right, but it could possibly be:
160
how i got this:
20 = 150
/(divide) 150
0.13(recurring) = 1
x1200
160 = 1200

if you need me to explain anything in detail, please feel free to message! have a nice day:)<3

6 0

3 years ago

Find the value of using identities 996^2

Svetlanka [38]

Answer:

992,016

Step-by-step explanation:

${996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\$

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3 years ago