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3 years ago

Assume that y varies inversely with x. If y=12 when x=5, find y when x=3

1 answer:

7 0

Inversely variation means xy = c, where c is a constant

Since when y = 12 x = 5, then c = 12*5 = 60

So xy = 60

Now when x = 3, y = 60/3 = 20

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Unlike fractions find the sum 2/8+1/3=

chubhunter [2.5K]

Answer:

7/12

Step-by-step explanation:

Find the common denominator 24 so fraction would change to 6/24 + 8/24

that equals 14/24 and simplified that 7/12

7 0

3 years ago

Solve each equation <br> -10=-14v+14v

Vinvika [58]

Answer:

No solution.

Step-by-step explanation:

Simplify. Combine like terms:

-10 = -14v + 14v

-10 = (-14v + 14v)

-10 = (0)

-10 ≠ 0 ∴ no solution is your answer.

3 0

3 years ago

You invest $15,000 in a savings account with an annual interest rate of 2.5% in

almond37 [142]

Answer:

$\$16,990.62$

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

$t=5\ years\\ P=\$15,000\\ r=2.5\%=2.5/100=0.025\\n=4$

substitute in the formula above

$A=15,000(1+\frac{0.025}{4})^{4*5}$

$A=15,000(1.00625)^{20}$

$A=\$16,990.62$

5 0

3 years ago

If the mean of 25, 28, a, 30 and 32 is 27, then find the value of a.

Anna11 [10]

Answer:

a = 20

Step-by-step explanation:

The mean is calculated as

mean = $\frac{sum}{count}$

= $\frac{25+28+a+30+32}{5}$ = $\frac{115+a}{5}$

Then

$\frac{115+a}{5}$ = 27 ( multiply both sides by 5 to clear the fraction )

115 + a = 135 ( subtract 115 from both sides )

a = 20

6 0

3 years ago

A certain slot machine has three identical independent wheels, each with 13 symbols as follows: 1 bar, 2 lemons, 2 bells, 2 plum

kari74 [83]

Answer:

Step-by-step explanation:

Given

there are 13 symbols in slot machines i.e. 1 bar , 2 lemons , 2 bells ,2 plums ,3 cherries , 3 oranges

there are Total of 3 machines

Probability of getting bar in machine is $\frac{1}{13}$

Probability of getting 3 bar on 3 machine $=\frac{1}{13} \times\frac{1}{13}\times \frac{1}{13}=\frac{1}{2197}=0.0004$

Probability of getting an orange $=\frac{3}{13}$

Probability of getting 3 oranges on 3 machine $=\frac{3}{13} \times\frac{3}{13}\times \frac{3}{13}=\frac{27}{2197}=0.0122$

Probability of getting a Plum $=\frac{2}{13}$

Probability of getting 3 Plums on 3 machine $=\frac{2}{13} \times\frac{2}{13}\times \frac{2}{13}=\frac{8}{2197}=0.0036$

5 0

3 years ago