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3 years ago

13

Convert 7/6 as mixed fraction?

1 answer:

mina [271]3 years ago

6 0

Do you mean a mixed number? if you mean a mix number, you basically do this. divide 6 by the 7 and you get 1 and remainder 1 <span />

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What is 0.03 out of 1 as a percent?

BigorU [14]

When trying to find a percent, it is best to multiply everything by 100 (as a percentage is out of 100). 0.03*100= 3 and 1*100=100. Therefore, 0.03 as a percent is 3% Hope this helps :)

3 0

3 years ago

Read 2 more answers

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

3 years ago

What is the distance between these points: (3,-16) and (-10,-12)

Alex Ar [27]

Distance between points (3, -16) and (-10, -12) is 13.6015

8 0

2 years ago

Read 2 more answers

a cell phone company is giving a 20℅ discount on all phone accessories which expression can used to find the sale price of an it

Sholpan [36]

Answer:

The expression that can be used is 0.80x

Step-by-step explanation:

Let

x ----> original price of an item

Remember that

$100\%-20\%=80\%$

That means---> the sale price is 80% of the original price

To find out the sale price, determine the 80% of the original price

$80\%=80/100=0.80$ ----> percentage in decimal form

Multiply the original price by the percentage in decimal form to obtain the sale price

so

$0.80x$

6 0

3 years ago

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.

leva [86]

Let x= number of board games
<span>20x=10410+2.65x </span>
<span>-2.65 -2.65 </span>
<span>17.35x=10410 </span>
<span>/17.35 /17.35 </span>
<span>x=600 </span>
<span>You would need to sell at least 600 board games to break even</span>

3 0

3 years ago