All Answers 356060 Answers

30 % of 100 books is     30 books   at 10 dollars each =  $300

70%  of 100 books is      70 books  at 15 dollars each =  $1050

Total sales = 300 + 1050 = $1350

Total cost   =                         1250

________________________________

Profit = 1350 - 1250        = $  100

19 if you are serious

8-|9-14|

= 8-|-5|

= 8 - 5

= 3

A.

You have to substitute the values into each of the functions.

\((x+ay)(x+ay)\\=x(x+ay)+ay(x+ay)\\=x^2+axy+axy+a^2y^2\\=x^2+2axy+a^2y^2\)

\(\pi \text{ is irrational and cannot be represented by a fraction or a decimal. }\\\text{A good approximation:}\dfrac{22}{7}\text{ or }3.14\text{.}\)

-3 - 5 = -8

\(8\dfrac{1}{3}\div x = 2\dfrac{1}{3}\div 8.1\\ \dfrac{25}{3}\times 8.1 = \dfrac{7}3 \times x\\ 25 \times 8.1 = 7x\\ x= 25 \times 8.1 \times \dfrac{1}{7}\\x=\frac{405}{14}=28\dfrac{13}{14}\)

Total profit = 30% x 100 x 10 + (1-30%) x 100 x 15 - 1250

                  = 300 + 1050 - 1250

                  = $100 

30% of 100 books are sold for $10 : 30% x 100 x 10

The rest(100% - 30%) of 100 books are sold for $15 : (1-30%) x 100 x 15

\(\text{Base length}=2\times\sqrt{13^3-12^2}\\ \;\;\qquad\qquad\;\;=2\times 5 \\\;\;\qquad\qquad\;\;= 10\)

\(\text{Surface area}=\text{Base length}^2+2\times \text{Base length}\times \text{Slant height}\\\qquad\qquad\quad\;=10^2+2\times 10 \times 12\\\qquad\qquad\quad\;=340 \text{cm}^2\)

233.44

Calculators are your best friends remember :D

\(2\sqrt2\times2\sqrt2\\=2\times2\times{\sqrt2}^2\\=2\times2\times2\\=8\)

-3 - (+5) = - 8

Solve for x:
25/(3 x) = 0.288066

0.288066 = 70/243:
25/(3 x) = 70/243

Take the reciprocal of both sides:
(3 x)/25 = 243/70

Multiply both sides by 25/3:
Answer: |  x = 405/14=28 + 13/14

Simplify the following:
2 sqrt(2)×2 sqrt(2)

2 sqrt(2)×2 sqrt(2) = 2^(1+1/2+1+1/2):
2^(1+1/2+1+1/2)

Put 1+1/2+1+1/2 over the common denominator 2. 1+1/2+1+1/2  =  2/2+1/2+2/2+1/2:
2^2/2+1/2+2/2+1/2

2/2+1/2+2/2+1/2  =  (2+1+2+1)/2:
2^(2+1+2+1)/2

2+1+2+1 = 6:
2^(6/2)

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
2^3

2^3 = 2×2^2:
2×2^2

2^2 = 4:
2×4

2×4  =  8:
Answer: |  8

Use the calculator here!.

Simplify the following:
8-abs(9-14)

9-14 = -5:
8-abs(-5)

Since -5<=0, then abs(-5) = 5:
8-5

8-5 = 3:
Answer: | 3

What is 1e+110=1 x 10^110

Expand the following:
(x+a y) (x+a y)

(x+a y) (x+a y) = (x+a y)^2:
(x+a y)^2

(a y+x) (a y+x) = (a y) (a y) + (a y) (x) + (x) (a y) + (x) (x):
a y a y+a y x+x a y+x x

a y a y = a^2 y^2:
a^2 y^2+a y x+x a y+x x

x x = x^2:
Answer: |  a^2y^2 + 2ayx + x^2

First you work with the operation in brackets 9 - 14. This comes out to be -5. When two minus signs are together ( 8 - - 5) they turn into a plus sign. So 8 - - 5 is actually 8 + 5 which equals 13.

Hope I could help!

Here's an even easier way to find the area, based on Alan's graph.....

Draw a line segment  connecting  (2,3) and (5,3)

This splits the larger triangle up into two smaller triangles, each with a base of 3 and a height of 2.....thus.....the area of the larger triangle =  2 * (1/2)(3 * 2)   =  6 units^2

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