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Dafna11 [192]
1 year ago
10

Slove equations with variables on both sides9 + 3f = 2f

Mathematics
1 answer:
Vera_Pavlovna [14]1 year ago
4 0

Given 9 + 3f = 2f

9 = 2f - 3f

9 = -f

f = -9

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julia-pushkina [17]
Divide the numerator by the denominator.
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(a/5) - (b/3) = (a/2) - (b/6), solve for a
Gnom [1K]

Answer:

a =  -  \frac{10}{17} b

Step-by-step explanation:

(a/5) - (b/3) = (a/2) - (b/6)

+(B/3) + (b/3)

NOTE: use property of equality to isolate <em>b</em> from <em>a</em>

(a/5) = (b/3) + (a/2) - (b/6)

-(a/2) - (a/2)

NOTE: continue to use property of equality to isolate <em>a</em><em> </em>from <em>b</em>

(a/5) - (a/2) = (b/3) - (b/6)

60((a/5) - (a/2)) = ((b/3) - (b/6))60

NOTE: 60 is a common multiple of 5, 2, 3, and 6

12a - 30a = 20b - 10b

NOTE: combine alike terms

-17a = 10b

-17a/-17 = 10b/-17

NOTE: decide by -16 to find what a is equal to

a =  -  \frac{10}{17} b

Final answer

5 0
3 years ago
What is the 22nd­ term of the arithmetic sequence ­­­ ­ ­ ­­ ­ ­ ­ ­­ 12 , 17 ,­ 22 , 27 , .... , .... , ....
11Alexandr11 [23.1K]

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

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The 22nd term is 117

5 0
3 years ago
What is a circumference of a smaller circle the raduis of a smaller circle 3inch and the the raduis of a larger is circle is 7so
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Answer:

18.85 inches.

Step-by-step explanation:

We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.

We know that circumference of a circle is equal to 2\pi r, where r represents radius of circle.

\text{Circumference of smaller circle}=2\pi (3\text{ inches})

\text{Circumference of smaller circle}=6\pi\text{ inches}

\text{Circumference of smaller circle}=18.84955592\text{ inches}

\text{Circumference of smaller circle}\approx 18.85\text{ inches}

Therefore, the circumference of smaller circle is approximately 18.85 inches.

8 0
3 years ago
At the beginning of year 1, Josie invests $400 at an annual compound interest
zvonat [6]

Answer:

The explicit formula that can be used is A=\$400(1.05)^{2}

The account's balance at the beginning of year 3 is A=\$441  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=2\ years\\ P=\$400\\ r=0.05\\n=1  

substitute in the formula above  

A=\$400(1+\frac{0.05}{1})^{1*2}  

A=\$400(1.05)^{2}

A=\$441  

3 0
3 years ago
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