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3 years ago

If (5n^5)^3÷(n^2)^7=875, then n is equal to ....

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Step-by-step explanation:

$\frac{(5 {n}^{5} ) ^{3} }{( {n}^{2} ) ^{7} } = 875$

$\frac{5 {n}^{15} }{ {n}^{14} } = 875$

$5 {n}^{15 - 14} = 875$

$5n \: = 875$

$n \: = \frac{875}{5}$

Therefore n = 175

Hope it will help :)❤

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In Angle FGH, the measures of angles F, G, and

matrenka [14]

Answer:

40 40 100°

Step-by-step explanation:

Is that TRIANGLE FGH?

the angles add to 180

180 / ( 4 + 4 + 10 ) = 10

then each angle is 4 x10 4 x 10 and 10 x10

6 0

2 years ago

4/5 equivalent to 5/6

USPshnik [31]

It cannot be equivalent unless you can divide 5/6 into 4/5 and multiply 4/5 into 5/6, but you can't. You can only add both by one which doesn't make it equivalent in any way

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3 years ago

(2 − 3)(1 − ) − (3 − )(3 + )

Lostsunrise [7]

Answer:

your equation is wrong!! the answer is $10$

Step-by-step explanation:

the correct order of the equation is:

$(2-3)(-1)-(-3)(3)$

first, solve in the parentheses from left to right:

$(2-3)(-1)-(-3)(3)=\\(-1)(-1)-(-3)(3)=\\1-(-3)(3)=\\$

If we have 2 negative signs then we will change them to positive :

$1-(-3)(3)=\\1+3(3)\\$

now we have an equation with parentheses, we will multiply $3(3)\\$ because the parentheses go first.

$1+3(3)=\\1+9=10$

4 0

2 years ago

Write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28

Fittoniya [83]

The equivalent fraction is 1/4 = 7/28
the multiplier or divisor for the equation is 7
if we divide to each pair of equation with 7 equation we get the same answer
like when we 7 is divisor in 1 / 4 we get the answer 1/ 28
and with 7/ 28, we also get the answer 1 / 28
and the when we multiply 7 with 1/4 we get the answer 7/4 and with 7 /28, also the answer is 7/4.

3 0

3 years ago

Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.

amm1812

Answers:

(a) 73440
(b) 3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

18 choices for slot A
17 choices for slot B
16 choices for slot C
15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

$_nP_r = \frac{n!}{(n-r)!}$

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

$_nC_r = \frac{n!}{r!(n-r)!}$

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

$_nC_r = \frac{_nP_r}{r!}$

which can be rearranged into

$_nP_r = r!*\left( _nC_r \right)$

these formulas are handy to help us go back and forth between nCr or nPr.

8 0

3 years ago