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Liula [17]
3 years ago
5

Please help I suck at fractions

Mathematics
2 answers:
Elza [17]3 years ago
6 0

Answer:

185/9

Step-by-step explanation:

20\frac{5}{9} \\\\20+\frac{5}{9}\\\\\frac{20*9}{9}+\frac{5}{9}\\\\\frac{180}{9}+\frac{5}{9}\\\\\frac{180+5}{9}\\\\\frac{185}{9}

Dmitry [639]3 years ago
6 0

Answer:

185/9

Step-by-step explanation:

20  5/9

Change to an improper fraction

Multiply the denominator by the whole number

20 *9 = 180

Add the numerator

180 + 5 = 185

Put this over the denominator

185/9

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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0
3 years ago
From a deck of 52 cards, one card is drawn at random. Match the following subsets with their correct probabilities.
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3 years ago
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Paladinen [302]

Answer:

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Step-by-step explanation:

If the delivery charge is $10 for any number of board feet ordered.

If the delivery charge is $10 for each board feet ordered, the function would

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3 years ago
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marin [14]
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

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To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
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k = 17280

Thus, at P = 87 cmHg 
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A parallelogram in a circumscribed circle must be a
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Hi!

//gm circumscribed by a circle must be a cyclic quadrilateral.
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