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leva [86]
3 years ago
15

in the month of November a dance troupe had 150 members. In December there was a 20% decrease in the members. In January there w

as a 20% increase from the month before. How many members were in January?
Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
Hello!
When I do something with percentages I always look at it as if it was a fraction. When there is a decrease of 20%, it means that you keep 80 percent of the 100 percent, so 80/100. To calculate this, we devide 150 by 100 (1.5) and then multiply by 80 (120)

We do the same thing for January, only this is an increase, so 120 percent. the fraction is 120/100. 120 (where we left off) divided by 100 (1.2) times 120 is 144 members, this is your answer!

Hope this helped you!
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liq [111]
Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number.  x+9 = 10, so x = 9.

Think of it this way:  there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55          (answer)
7 0
3 years ago
What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?
Alika [10]
<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u>y + 3 = \frac{2}{3}(x -5)<u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

Given that,

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Substitute m = 2/3 and (x_1, y_1) = (5, -3) in point slope form

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8 0
3 years ago
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melisa1 [442]

Answer:

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Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

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You can also factor the numbers and see what the common factors are.

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In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

8 0
2 years ago
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motikmotik

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8 0
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3 0
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