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3 years ago

50+30x=250+10x Help!!!!!

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

x = 10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

50 + 30x = 250 + 10x

Step 2: Solve for x

Subtract 10x on both sides: 50 + 20x = 250
Subtract 50 on both sides: 20x = 200
Divide both sides by 20: x = 10

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 50 + 30(10) = 250 + 10(10)
Multiply: 50 + 300 = 250 + 100
Add: 350 = 350

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One of the three economic questions deals with deciding what goods and services must be produced from available resources.

Here are the Three Main Economic Questions
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3) How should goods and services be produced in society?

These questions are very important because it deals on how available resources are allocated to produce essential goods and services demanded by consumer

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3 years ago

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3 years ago

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms

Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: $a_n=a_1r^{n-1}$

We have a₁=26 and r = 0.5 n=10

$a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051$

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: $S_n=\frac{a(1-r^n)}{1-r}$

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

$S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48$

So, sum of first 18 terms of given sequence is 51.48

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3 years ago

A bird catches a fish, flies 100 yards upward in a straight line, and then drops the fish. The fish lands at a spot that is 50 y

Marina CMI [18]

You can solve this using trigonometric functions.

The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°

The height of the bird before it dropped the fish is already given, which is 100 yards.

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3 years ago

LM = 9, NR = 16, SR = 8. Find the perimeter of triangle LRN.

sweet [91]

<h2>D. 50 units</h2>

Hi, I’m Lena and I will be answering your question to the best of my ability. If you have any further questions after my answer, do not hesitate to ask me! ツ

♡ Let’s look at the main important thing(s) that will lead you in the correct path.

♥ The perimeter is the outside, it is around the figure. When you see those inner triangles, do not pay attention to them! They are just there to make your overthink the question.

♡ Let's solve!

♥ To begin, let's take LM. It already gives you half the segment, so all you need to do is double the number. 9*2=18.

♥ Now, let's take a look at NR. They already give you the segment as a whole, so you do not need to worry about it!

♥ Look at SR. You do the same thing as you did to LM, double the number. 8*2=16.

Now, we add all the numbers to get our final answer.

18+16+16=50.

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3 years ago