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stealth61 [152]

4 years ago

13

A fourth of the quantity 8 less than 12 times a number y is greater than 22.

1 answer:

Masteriza [31]4 years ago

8 0

This is written like this: 1/4(12y-8)>22. Hope this helps.

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A TV and Washing machine were purchased for Rs 15000 each. If together, they are sold at Rs 35000, What is Profit and Profit%

Citrus2011 [14]

Given:

A TV and Washing machine were purchased for Rs 15000 each.

Together, they are sold at Rs 35000.

To find:

The profit and profit%.

Solution:

A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is

$C.P.=15000+15000$

$C.P.=30000$

Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.

Now,

$Profit=S.P.-C.P.$

$Profit=35000-30000$

$Profit=5000$

And,

$Profit\%=\dfrac{Profit}{C.P.}\times 100$

$Profit\%=\dfrac{5000}{30000}\times 100$

$Profit\%=\dfrac{50}{3}$

$Profit\%\approx 16.67$

Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.

5 0

3 years ago

What is the measure of side V’W’?

laiz [17]

Hello I have to right 24 characters but I need some more questions lol but 24

6 0

3 years ago

8. Scott drank 3.5 bottles of water yesterday. Each bottle contained 1.2 pints of water. What was the number of pints of water S

antiseptic1488 [7]

Answer:

4.2 pints

Step-by-step explanation:

3.5 × 1.2 = 4.2

Answer: 4.2 pints

3 0

2 years ago

X = 16 is a solution for the equation 17 + x = 33 true or false

lilavasa [31]

$\begin{gathered} 17+x=33 \\ 17+x-17=33-17 \\ x=16 \end{gathered}$

its true

4 0

1 year ago

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

as

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

as

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

so

$=1860-330$

$=1530$

7 0

4 years ago