Alright, lets get started.
Suppose total number of dancers in school = x
We have given in question, 42 % of total dancers are ballet dancers.
So, we could find number of ballet dancers by finding 42 % of total dancers.
Number of ballet dancers = x * 42 %
Number of ballet dancers = x * 42/100 = 0.42 x
As per given in question, there are 63 ballet dancers in school.
Which means 0.42 x = 63
Dividing 0.42 from both sides
0.42 x / 0.42 = 63 / 0.42
x = 150
Hence number of total dancers in school = 150 : Answer
Hope it will help :)
Answer:
d- m<1 = 58
Step-by-step explanation:
To find this answer we have to do multiple steps.
So we know that vertical angles are congruent by the definition of vertical angles, <u><em>look at the picture</em></u>
So, we also know that a triangle =180 degrees
therefore we can add 32 and 90 to find the 3rd angle measure
32+90=122, then 180(because that's the total of the triangle)-122=58
So, m<1=58 degrees
Write out the expression 2 - (2x-7)^2. That's it.
But if you want to go further and remove the parentheses, first expand (2x-7)^2: (2x-7)^2 = 4x^2 - 28x + 49,
and then subtract this result from 2:
2 - (4x^2 - 28x + 49) (It's important to use parentheses here)
Now, following the distributive property of multiplication, remove the parentheses:
2 - 4x^2 + 28x - 49
Combining the constants, we get the final answer: - 4x^2 + 28x - 47
Answer:
x(x+2)(x-2)(x+1)(x-1)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,]a^{2} - b^{2} = (a+b)(a-b), where a = x and b = 2.
Step-by-step explanation:
Jupiter's
Jupiter's menagerie of moons includes the largest in the solar system (Ganymede), an ocean moon (Europa) and a volcanic moon (Io). Many of Jupiter's outer moons have highly elliptical orbits and orbit backwards (opposite to the spin of the planet).
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