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krok68 [10]
3 years ago
6

Suppose you first want to eliminate the fraction in 4n=1/2(2n-12). What would your first step be? Is -2 still the solution when

you start by eliminating the fraction first? Explain
​
Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Recognize that the (1/2) in  4n=1/2(2n-12)  is a coefficient, the coefficient of the (2n - 12) term.

Thus, multiply both sides of this equation 4n=1/2(2n-12) by 2, to obtain:

8n = 2n - 12

Combining like terms, we get 6n = -12, so that n = -2.  

Multiplying both sides of the equation by a constant does not in any way affect your ability to find a solution and does not change the solution.

You might be interested in
A shelter in the city house birds and dogs . There are 25% more dogs then birds. If there are 50 birds how many dogs are there?
AfilCa [17]

Answer:

They have 83 dogs and 50 birds.

There are 133 animals in total in the shelter.

Step-by-step explanation:

So let's call the dogs D and the birds B.

D = 25% + B

What ever the amount of animals, the total for D must always be 25% more than B.

To get 100% of the animals, B must equal 37.5% and D must equal 62.5%.

The way I worked this out was:

100% - 25%= 75%

75% divided by 2= 37.5%

37.5% + 25%= 62.5%

And just to check

37.5% + 62.5% = 100%

So to work out 100%:

37.5% = 50

divide both by 37.5 to get 1%

1% = 1.333333

time both by 62.5 to get 62.5%

62.5% = 83.333313

We'll round that answer because I'm pretty sure they don't have a .333313th of a dog.

So D = 62.5% = 83

They have 83 dogs and 50 birds.

Phew! That was the hard part. Now onto something wayyy easier.

To get the total number of animals in the shelter we just do 83 + 50, which is 133.

There are 133 animals in total in the shelter.

Hope this helps you :)

7 0
2 years ago
What are the intercepts to the line
Roman55 [17]
The x-intercept is 8 because it passes through the horizontal line (x) at point 8.
The y-intercept is -4 because it passes through the vertical line a (y) at point -4.
The correct answer is B.
Hope this helps!
5 0
3 years ago
Expand and simplify 9a+3(8-2a).
olchik [2.2K]
Hi there

9a + 3(8-2a)
9a + 24 - 6a
(9a -6a) +24
3x + 24


I hope that's help ! 

3 0
3 years ago
Read 2 more answers
Select the correct answer. what is this series written in sigma notation? 2.5 2.5(1.2) 2.5(1.2)2 ⋯ 2.5(1.2)87 a. ∑ k = 1 87 2.5
Marat540 [252]

<u> ∑ k = 1 88 2.5 ⁢ ( 1.2 ) k</u><u>  is this series written in </u><u>sigma notation. </u>

What is the series written in sigma notation?

  • A series can be represented in a compact form, called summation or sigma notation.
  • The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .
  • The expression is read as the sum of 4n as n goes from 1 to 6 .

Given:

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

If we look at the power it is always one less the term i.e., for first term the value of k=0.

So, the series in the form of summation can be written as

∑ k = 1 88 2.5 ⁢ ( 1.2 ) k

Learn more about sigma notation

brainly.com/question/16701078

#SPJ4

8 0
1 year ago
Find the volume of a right circular cone that has a height of 2.5 m and a base with a diameter of 18.6 m. Round your answer to t
dem82 [27]

Answer:

226.4 m³.

Step-by-step explanation:

The volume of a right cone with a circular base is:

\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h,

where

  • V is the volume of the cone,
  • r is the radius of the cone,
  • and h is the height of the cone.

The radius of the circular base is one-half its diameter.

\displaystyle r= \frac{1}{2}h=9.3\;\text{m}.

\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h = \frac{1}{3} \pi \times 9.3^{2} \times 2.5 \approx 226.4\;\text{m}^{3}.

5 0
3 years ago
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