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ozzi
3 years ago
8

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e

ach part? Show your work.
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.

Step-by-step explanation:

Given:

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.

Now, to find the length of each part of the stick.

Let the shorter part be x.

So, the longer part is x+20.

Total length of the stick = 70 cm.

Now, to get the length of each part we solve an equation:

(x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.

<em>The length of the shorter part is 25 cm.</em>

Now, substituting the value of x:

x+20\\\\=25+20\\\\=45\ cm.

<em>The length of longer part is 45 cm.</em>

Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.

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A construction company purchased some equipment costing $300,000. The value of the equipment depreciates
goldfiish [28.3K]

Answer:

11.9\ years  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$300,000\\r=14\%=14/100=0.14\\V=\$50,000

substitute the values and solve for x

50,000=300,000(1-0.14)^{x}  

(50,000/300,000)=(0.86)^{x}  

(5/30)=(0.86)^{x}  

Apply log both sides

log(5/30)=(x)log(0.86)  

x=log(5/30)/log(0.86)  

x=11.9\ years  

4 0
3 years ago
Read 2 more answers
A: 28, 23,30, 25, 27
Serggg [28]

Answer:

8

Step-by-step explanation:

mean of A=28+23+30+25+27/5 = 26.6

average of B=22+19+15+17+20/5 = 18.6

now,

difference= 26.6-18.6

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6 0
3 years ago
What is the range of possible values for x?
Talja [164]
The minimum value for 2x is 0 
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>

<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>

<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>

<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>

<span>sin 2x = 22 (sin 34°)/30 </span>

<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>

<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>

<span>0 < x < 12.1°</span>
7 0
3 years ago
If ab = c - d, which of the following is an expression for d in terms of a, b, and c?
horsena [70]
ANSWER

d =  - ab + c


EXPLANATION


The given expression is

ab = c - d

To find an expression for d in terms of a, b, and c, means we want to make d the subject of the relation.


This means that, we need to isolate d on one side of the equation while all other terms are on the other side.



We subtract from both sides of the equation to obtain,


ab - c = - d



We now divide through by -1, to get,



- ab  +  c = d


Or


d = - ab  +  c


The topic is change of subject
3 0
3 years ago
Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?
Degger [83]

Answer:

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Step-by-step explanation:

Take the final price and subtract the original price

513-475 = 38

Divide by the original price

38/475 =.08

Change to percent form

8%

The tax is 8%

8 0
2 years ago
Read 2 more answers
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