The graph shows the amount of money earned by a teacher for running an after-school homework help session. How much does the teacher earn per hour?

Answer: The factors of 14 are 14, 7, 2, 1.

             The factors of 55 are 55, 11, 5, 1.

The common factors of 14 and 55 are 1, intersecting the two sets above.

In the intersection factors of 14 factors of 55 the greatest element is 1.

Therefore, the greatest common factor of 14 and 55 is 1.

Step-by-step explanation:

The greatest common factor of 14 and 55 is 1.

To find the greatest common factor of 14 and 55.

First write the factor of 14.

14 × 1 = 14, 7 × 2 = 14, 2 × 7 = 14, 1 × 14 = 14.

Which are 14, 7, 2 and 1.

Now, write the factor of 55.

55 × 1 = 55, 11 × 5 = 55, 5 × 11 = 55, 1 × 55 = 55

Which are 55, 11, 5 and 1

Therefore, the common factor of 14 and 55 is 1.

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Answer:

..........................

Answer:

Step-by-step explanation:

(x-2)(x-1)

You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.

You get x^2-x-2x+2 then combine terms.

x^2-3x+2

Answer:

x² - 3x + 2

Step-by-step explanation:

(x-2)(x-1)

xx - x - 2x + 2

x² - 3x + 2

The two clowns charge the same amount of money at 16.66 hours.

Payment for work based on hours worked (or sometimes per day or per amount of work done).

Here, let the duration of birthday party be x hours.

For Clown A,

Initial fee = $ 105

Additional charge = $ 9 per hour

Total amount of clown A = $ (9x + 105)   ...........(i)

For Clown B,

Initial fee = $ 155

Additional charge = $ 6 per hour

Total amount of clown B = $ (6x + 155)   ...........(i)

Now, according to question

9x + 105 = 6x + 155

9x - 6x = 155 - 105

3x = 50

x = 50/3

x = 16.66 hours

Thus, the two clowns charge the same amount of money at 16.66 hours.

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Answer:

D. i think

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

[tex]63.709feet[/tex]

Step-by-step explanation:

Rosa is closer to fossil exhibit than shelter house.

The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is

PQ = √c-a )² + (d-b)²

The distance from Rosa to shelter house

d= √(-2-1)² + (-4 +1)²

d =√9 + 9

d = √18

d = 4.24

and, the distance from Rosa to fossil exhibit

d= √(3-1)² + (2+1)²

d =√4 + 9

d= √13

d= 3.6

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Answer:

y = x + 2.5 or y = x + 5/2

Step-by-step explanation:

Multiply both sides by 2 so that they are not fractions anymore.

[tex](2)\frac{2y}{2} = \frac{2x}{2} + \frac{5}{2} (2)\\[/tex] This gives you...

2y = 2x + 5 (divide both sides by 2 to get the y alone.)

y = x + 2.5

Hope this helps ya!!

Answer:

[tex]\frac{108}{125}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}[/tex]*[tex]\frac{25}{24}[/tex]= [tex]\frac{72}{125}[/tex]

[tex]\frac{72}{125}[/tex]÷[tex]\frac{2}{3}[/tex]=[tex]\frac{108}{125}[/tex]

Hope this helps you!

Answer:

(See below)

Step-by-step explanation:

m<1 = 180-130= 50 degrees

because <1 and the 130 degree angle are a linear pair so they are supplementary

m<2 = 50 degrees

because <1 and <2 are alternate interior angles so they are congruent

Answer:

The answer should be B

Step-by-step explanation:

to find the net change you need to do final minus initial. So the final would be Jakarta and the initial would be Hong Kong. so just subtract Jakarta's latitude from Hong Kong's and the same for longitude

Answer:

B also, I am this account. Im back guys. Gonna give away more points when I have enough points

Step-by-step explanation:

Answer:

We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x

1

,y

1

) and B(x

2

,y

2

) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates

P=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x

2

,y

2

) in the ratio 3:2, then using section formula we get,

C=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

⇒(1,1)=(

3+2

3x

2

+(2×−2)

,

3+2

3y

2

+(2×7)

)

⇒(1,1)=(

5

3x

2

−4

,

5

3y

2

+14

)

⇒1=

5

3x

2

−4

,1=

5

3y

2

+14

⇒5=3x

2

−4,5=3y

2

+14

⇒3x

2

=5+4,3y

2

=5−14

⇒3x

2

=9,3y

2

=−9

⇒x

2

=

3

9

,y

2

=−

3

9

⇒x

2

=3,y

2

=−3

Hence, the point B(x

2

,y

2

) is B(3,−3).

Answer:

x < 10

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

2(x - 4) < 12

Step 2: Solve for x

Here we see that any number x smaller than 10 would work as a solution of x.

Answer:

40 is the answer

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

15x is money for the people who have 3 course meals

12(10-x) =  120-12x is money for the people who have 2 courses.

15x+120-12x = 141

3x+120 = 141

3x = 21

x = 7

7 three course meals

comment if you need further explanation. I am here to help.

Answer:

y=-2/3x+108

Step-by-step explanation:

If you look at the graph for "perfect points"(that's what I call them) you can get rise over run aka slope. In this case, it's -2/3. As for the y-intercept, following the graph's pattern, the y-intercept is 108. Just substitute the values into y=mx+b.

Answer:

Length of DE = 2.90 (Approx)

Step-by-step explanation:

Given:

AE = 7[tex]\frac{5}{8}[/tex]cm = 61 / 8 cm = 7.625 cm

AB = BC

CD = 1/2 cm = 0.5 cm

DE is 3/8 more than AB

Find:

Length of DE

Computation:

Assume;

AB = BC = x

So,

DE = x + 3/8(x) = [11 / 8]x = [1.375]x cm

AE = AB + BC + CD + DE

7.625 = x + x + 0.5 + [1.375]x

7.125 = 3.375 x

x = 2.1111 (Approx)

Length of DE = [1.375][2.111]

Length of DE = 2.90 (Approx)

Answer:

20

Step-by-step explanation:

5-1=4×5=20 that's why

Answer:

x = 20

Step-by-step explanation:

[tex]\frac{x}{5} + 1 = 5[/tex]

isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides

[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]

[tex]\frac{x}{5} = 4[/tex]

then isolate the x by multiplying both sides by 5

[tex]\frac{x}{5} * 5 = 4 * 5[/tex]

[tex]x = 4 *5 = 20[/tex]

so

[tex]x = 20[/tex]

hope this helps :))

Step-by-step explanation:

1 t=16/21

2.m=2

3.n=13/7

4.a=2

5.x=6/17

6.x=15

7.s=21/4

8. t=7/3

9. s=1

10. s=6/61

11. x=1/3

12. r=27/16

13. c=−1

14.m=9/5n

15. j=−117/58

Answer:

C.

Step-by-step explanation:

The sales tax is ≈ 12.74

The total of $93 - (12.74 + 73.89)  = 6.37

$6.37 is approximatley 20%

The description of the service they received is

They left a 20% tip, so the service was probably above average.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

let the amount of tax be x.

So, 100% of x = 73.89 x 5.8%

x = 428.562/100

x= 4.285

Now, the tip amount would be

= 93 - 73.89 4.28

= $14.83

Now, the amount of tip in percent is

73.89 / 100 = 14.83 / x

x = 14.83 /0.7389

x= 20.07

x= 20%

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Step-by-step explanation:

597 rounding would be 600 while 52 would be 50.

So 600 x 50

= 30,000

Answer:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Step-by-step explanation:

Hope this helps!!!!!

:)

Answer:

Its either A or C

Step-by-step explanation: times the 45.00 x 0.15 and then try 45.00 x 1.14 it will give you the answer :D

Answer:

5i√10

Step-by-step explanation:

hope this answers your question

:)

Answer:

5√10

Step-by-step explanation: