Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.


Me: $14.89
Friend 1: $7.27
Friend 2: $25.67
Friend 3: $11.59

Answer:47

Step-by-step explanation:

Make a hypothesis that the number is X, so X-14=20+13

X=20+13+14, eventually, you'll get that X=47

But I'm not sure if you mean 13 times more than 20, or just 13 more than 20

Answer:

[tex]s^2+11s+15[/tex]

Step-by-step explanation:

Let side length of pool=s

According to question

Length of rectangular deck , l=2s+5

Width of rectangular deck, b=3+s

We have to find the area of deck in terms of s.

We know that

Area of square=[tex](side)^2[/tex]

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of pool=[tex]s^2[/tex]

Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]

Now,

Area of rectangular deck

=[tex](2s+5)(3+s)-s^2[/tex]

[tex]=6s+2s^2+15+5s-s^2[/tex]

=[tex]s^2+11s+15[/tex]

Answer:

use for formula a^2+b^2=c^2 to execture

*" ^ "  means square or to the power of two

Step-by-step explanation:

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

Answer:

this is a scalene triangle. we can see that none of the side lengths and none of the angles are equivalent to each other. that's why it's scalene.

Answer:

ACTUA,LY ITS

Step-by-step explanation:

2222

Step-by-step explanation:

angle 3 = 180-20-57 =103

angle 4 = 180 - 103 = 77

Answer: 80%

Step-by-step explanation:

100% chance is normally the most so 100 is our whole. 100-20=80. That being the % makes 80% as the answer. Hope i helped!

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

Answer:

Step-by-step explanation:

Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:

Al realizar la sumatoria se obtiene:

 +300.000 - 120.000 - 95.000 + 80.000 = + 165.000

En la semana Santiago obtiene en su cuenta bancaria $165.000

Answer:

50%

Step-by-step explanation:

2 divided by 4 is .5

.5 ×100 =50

if you simplify in fraction form it would be 2/4 equals 1/2 which would still give you the same answer

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

Answer:

[tex]33[/tex]

Step-by-step explanation:

[tex]6^2-3[/tex]

First we do 6^2:

[tex]6^2\\6*6=36[/tex]

Now we have to subtract by 3:

[tex]36-3=33[/tex]

33 is your final answer.

6^2-3

Start by doing the power

6^2 = 36

Now subtract by the number 3 to get our answer

36-3=33  (Answer)

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Step-by-step explanation:

let the ratio be x

now,

3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)

30x=360°

x=360/30

x=12°

then,

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°

so,the angles of quadrilateral are 36°,60°,108°& 156°

hope it helps.

Answer:

70°

Step-by-step explanation:

2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }

3x + 150° = 360°

3x = 360° - 150°

3x = 210°

x = 70°

Hope it will help :)

Answer:

70

Step-by-step explanation:

Since sum of all angles in a quadrilateral is 360°

angle P+ angle Q + angle R + angle S= 360°

80+70+x+2x=360

3x= 360-150

3x = 210

x = 210/3

x= 70

Answer:

x = 135

Step-by-step explanation:

parallelograms have supplementary angles

180 - 45 = 135

Answer:

x = 135 degrees

Step-by-step explanation:

Because this is a parallelogram, the opposite sides are parallel

45 and x = 180 because they are corresponding congruent angles

180-45=135

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

                                = 12 + 16 + 20

                                = 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

Answer:

-1/3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

7c=84

c=84/7

c=12

Answer:

2

Step-by-step explanation:

You need division and multiplication (division for 84/7 and multiplication to identify 7c = 7 x c), which means 2.

Hope that helps!

Answer:

595 pairs of tyres are defective.

Step-by-step explanation:

4.25×28000

____

100

0.0425×28000

1190 Total no. of defective tyres

1190 divide total tyres by 2 to get the exact pairs of defective tyres.

____

  2  

595 tyresof shoes are defective.

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24

Answer:

but

Step-by-step explanation:

moreover is more of a transition that means "also"

furthermore is used as a conclusion

Answer:

But

Step-by-step explanation:

Im pretty sure is the right answer is but it could be while to but is not an option so im a 100% sure is A-But

Answer:

I believe your answer would be y=1.

Step-by-step explanation:

The circle is located with its point on 1 of the x axis, and the cross section would be pulled straight from that term. So the cross section would need to be revolved around y = 1, instead.

This is just my best guess, so I hope it helps!

To get a sphere, we need to do a revolution around the line x = 1.

The line that we must use must be a line that divides the circle in two equal parts, so it must pass through its center.

We know that the center of our circle is the point (1, 0).

With that in mind, the two lines that we know that will divide the circle in two equal parts are:

(There are more lines, the above two are the simplest ones).

The only one that appears on the options is x = 1, so that is the correct option.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Answer:

7/30

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

A,G

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Answer:

[tex]A' = (0,0)[/tex]

[tex]B'= (9,18)[/tex]

[tex]C'= (21,12)[/tex]

Step-by-step explanation:

Given

[tex]A= (0,0)[/tex]

[tex]B= (3,6)[/tex]

[tex]C= (7,4)[/tex]

[tex]k = 3[/tex] -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A *3[/tex]

[tex]A' = (0,0) *3[/tex]

[tex]A' = (0,0)[/tex]

[tex]B' = B * 3[/tex]

[tex]B'= (3,6)*3[/tex]

[tex]B'= (3*3,6*3)[/tex]

[tex]B'= (9,18)[/tex]

and

[tex]C' = C * 3[/tex]

[tex]C'= (7,4)*3[/tex]

[tex]C'= (7*3,4*3)[/tex]

[tex]C'= (21,12)[/tex]

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

Answer:

1/

2 3 15 2 31 12

2 1 14 -12 43

__________________

2 1 14 -12 43 -31

so the answer is r=-31

Answer:

remainder = 60

Step-by-step explanation:

Given f(x) divided by (x - h) then the remainder is f(h)

f(x) = 2x³ + 15x² + 31x + 12 , then

f(1) = 2(1)³ + 15(1)² + 31(1) + 12

     = 2 + 15 + 31 + 12 = 60 ← remainder

Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work

He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work

The remaining work = [tex]$1 -\frac{4}{5}$[/tex]

                                 [tex]$=\frac{5-4}{5}$[/tex]

                                 [tex]$=\frac{1}{5}$[/tex]

∴  Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours

                           So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours

                                                                 [tex]$=\frac{10}{12}$[/tex] hours

Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{40+10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{50}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{2}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{1}{6}$[/tex] hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.