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4 years ago

Multiply. Express your answer in simplest form. 1/8 × 5/6

Mathematics

2 answers:

liq [111]4 years ago

7 0

Answer:

$\large\boxed{\dfrac{5}{48}}$

Step-by-step explanation:

$\dfrac{1}{8}\times\dfrac{5}{6}=\dfrac{1\times5}{8\times6}=\dfrac{5}{48}\leftarrow\text{this is the simplest form}$

Vitek1552 [10]4 years ago

5 0

Answer:

5/48

Step-by-step explanation:

1x5=5

8x6=48

which give u

5/48

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A blue bowling ball, that has a mass of 2 kg and a diameter of 27 cm, rolls down a bowling alley at an average speed of 200 cm p

ElenaW [278]

Answer:

5 seconds

Step-by-step explanation:

1000 cm / 200 cm/s = 5 s

8 0

3 years ago

Arelli drank 2 3 liter of water Monday before going jogging. She drank 5 7 liter of water after her jog. How much water did Arel

bearhunter [10]

We have been that Arelli drank 2/3 liter of water Monday before going jogging. She drank 5/7 liter of water after her jog. We are asked to find the amount of water that Arelli drink altogether.

To find the amount of water that Arelli drink altogether, we will add amounts of water drank before going to jogging and after the jogging.

$\text{Amount of water that Arelli drink altogether}=\frac{2}{3}+\frac{5}{7}$

Let us make a common denominator.

$\text{Amount of water that Arelli drink altogether}=\frac{2\cdot 7}{3\cdot 7}+\frac{5\cdot 3}{7\cdot 3}$

$\text{Amount of water that Arelli drink altogether}=\frac{14}{21}+\frac{15}{21}$

Now we will combine numerators.

$\text{Amount of water that Arelli drink altogether}=\frac{14+15}{21}$

$\text{Amount of water that Arelli drink altogether}=\frac{29}{21}$

$\text{Amount of water that Arelli drink altogether}=1\frac{8}{21}$

Therefore, Arelli drank $1\frac{8}{21}$ liters of water altogether.

4 0

3 years ago

As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

3 years ago

A clothing store used the sign shown below advertise a discount on shirts buy two shirts get the third half off.ky buys three sh

harkovskaia [24]

It Should be A.$41.99

4 0

3 years ago

Read 2 more answers

31. The bus fare in a city is $1.25. People who use the bus

o-na [289]

Answer:

12 times

Step-by-step explanation:

Without the discount pass, the bus fare is $1.25. The monthly discount pass is $15.00. 15 ÷ 1.25 is 12. So, the bus would have to be used 12 times in a month so that the total monthly cost without the discount pass is the same as the total monthly cost with the discount pass.

7 0

3 years ago