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igor_vitrenko [27]

2 years ago

12

A catering company loses $110 as a result of a delay. The 5 owners of the company must share the loss equally. Which quotient re

presents each owner's share of the loss?

2 answers:

UkoKoshka [18]2 years ago

7 0

Answer: They all loss $22.00

Step-by-step explanation:

nasty-shy [4]2 years ago

6 0

They all loss $22.00

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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

2 years ago

Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Ilia_Sergeevich [38]

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points $(x_1,y_1)\text{ and }(x_2,y_2)$ , then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through (-3,-6) and (2,-2). So, the equation of line is

$y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))$

$y+6=\dfrac{-2+6}{2+3}(x+3)$

$y+6=\dfrac{4}{5}(x+3)$

$y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)$

Subtract 6 from both sides.

$y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6$

$y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}$

$y=\dfrac{4}{5}(x)+\dfrac{-18}{5}$

$y=\dfrac{4}{5}(x)-\dfrac{18}{5}$

Therefore, the equation of line is $y=\dfrac{4}{5}(x)-\dfrac{18}{5}$ .

3 0

2 years ago

Write 841,620 in three different ways.

Oxana [17]

841,620. 841.620. 841-620. 026,148

8 0

3 years ago

To bike rental companies have different pricing systems company a charges a flat fee of four dollars +2 dollars per mile Company

lukranit [14]

Answer: the charge would be the same after 5 miles

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be

4 + 2x

Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.

For the charge to be the same, the number of miles would be

2.8x = 4 + 2x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8

x = 5

5 0

2 years ago

Alvin is 14 years older than elga's The sum of their ages is 94 what is elga'ss age

Sonja [21]

Elga’s age is 40 and Alvin’s age is 54

8 0

2 years ago

Read 2 more answers