Kim and Cyndi are starting a business tutoring students in math. Kim rents an office for $350 per month and charges $20 per student. Cyndi rents an office for $400 per month and charges $15 per student. How many students do they have to teach per month in order to make the same amount of money?​

Answer:

c) 50

Step-by-step explanation:

Exterior angles equal the sum of opposite interior angles.

x + 55 = 105

       x = 105 - 55

       x = 50

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

Answer:

3 candy bars for 0.30

Step-by-step explanation:

The same amount of bars for less is the better buy

Answer:

3 candy bars for $0.30 each is the better buy

Step-by-step explanation:

We must do the math to find out how much 3 candy bars will cost for 30 cents each.

0.30 x 3 = 0.90

Therefore, three candy bars cost 90 cents. 90 cents is less than a dollar and 50 cents. Therefore, the 3 candy bars for $0.30 each is the better deal.

Answer:

See Below

Step-by-step explanation:

(g)

[tex]\\ {5}^{x} = 0.008 \\ \\ {5}^{x} = \frac{8}{1000} \\ \\ {5}^{x} = \frac{1}{125} \\ \\ {5}^{x} = \frac{1}{ {5}^{3} } \\ \\ {5}^{x} = {5}^{ - 3} \\ \\ \huge \red{x = - 3} \\ \\[/tex]

(j)

[tex]\bigg( \frac{1}{3} \bigg)^{3 - x} = \frac{1}{9} \\ \\ \bigg( \frac{1}{3} \bigg)^{3 - x} = \bigg(\frac{1}{3} \bigg)^{2} \\ \\ 3 - x = 2 \\ \\ 3 - 2 = x \\ \\ 1 = x \\ \\ \huge \purple {x = 1} \\ \\

[/tex]

(m)

[tex]\bigg( \sqrt{ \frac{5}{7} } \bigg)^{x - 1} = \bigg( \frac{125}{343} \bigg)^{ - 1} \\ \\ \bigg( { \frac{5}{7} } \bigg)^{ \frac{x - 1}{2} } = \bigg( \frac{5}{7} \bigg)^{ - 3} \\ \\ \frac{x - 1}{2} = - 3 \\ \\ x - 1 = - 6 \\ \\ x = - 6 + 1 \\ \\ \huge \orange{ x = - 5}[/tex]

Answer:

The two number are 10 and 12

Step-by-step explanation:

Two whole numbers have a least common multiple of 60.

We are told that:

-Each number is less than or equal to 12.

The first thing we know is that: one of that two number is 12

The next step would be to find the factors of 60

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 60 that is equal to or less than 12 is

1, 2, 3, 4, 5, 6, 10, 12

We would find which of these number that has the greatest common factor of 2 with 12

The factors of 10 are: 1, 2, 5, 10

The factors of 12 are: 1, 2, 3, 4, 6, 12

Then the greatest common factor is 2...

Also calculating the least common factor of 10 and 12

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

Therefore, two numbers with the least common multiple of 2 and greatest common factor of 60 is 10 and 12

• Sum of three numbers in an AP is -3

• Their product is 24.

• The numbers .

Let the numbers be .

• (a-d) , a , (a+d) .

A/Q ,

• Sum of numbers = -3

=> a-d + a + a+d = -3

=> 3a= -3

=> a = -1 .

Now ,

• Product of numbers = 24

=>( a-d)(a)(a+d)= 24

=> (a²- d²) (a) = 24

=> (1- d²)(-1)=24

=> -1+d²= 24

=> d²= 25

=> d = ±5.

If d = 5 the numbers are :

• a+d , a , a-d = 4 , -1 , -6

If d = -5 the numbers are :

• a+d , a , a -d = -6, -1 , 4 .

The numbers are :

4 , -1 , -6 and -6, -1,4

I hope it will help you.

Regards.

Answer:

162 because if you multiply all of them by 4 you get the answer

The teacher will give 162 note cards to the fifth student.

Students                       =  1    2    3    4    5
Number of handing     =   2   6   18   54   ?
out note cards

It is pattern of series, its ratio with preceding values remains equal.

Here,
First term(a) = 2
common ratio(r) = 3
Nth term = ar^(n-1)

5th term =  2 x 3^(5-1)
               =  2 x 3^4
               = 162

Thus, the teacher will give 162 note cards to the fifth student.

Learn more about geometric progression here: https://brainly.com/question/4853032

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Answer:

x = -113

y = 30

Step-by-step explanation:

110+10+2y=180

2y=180-110-10

=60

y=60/2

y=60/2 =30

-3x-10-2x+15+110+120+95=540

-3x-2x =540+10-15-110-120-95

-5x=210

x=210/-5

x=210/-5 = - 42

Step-by-step explanation:

Here,

110+2y+10=180°(being sum of angles in

a straight line)

y=180-120

y=60°,,

now,

to find the value of X,

120+95+110+3x-10+2x+15=540°(being sum of all angle of pentagon)

330+5x=540°

5x=540-330

5x=210

X=210/5

x=42°,,

Answer:

i think the answers are switched its supposed to be 4 1/10 is c and 10 1/4 is a and 0 is b and 4/41 is d and the correct answer is a

Step-by-step explanation: because it says inverse so it means the opposite so and it say additive inverse so remember that

Answer:

z=6

Step-by-step explanation:

2(2z−3)=18

Divide each term by 2 and simplify.

2z−3=9

Move all terms not containing z to the right side of the equation.

2z=12

Divide each term by 2 and simplify.

z=6

Hope this helps! :) Plz mark as brainliest!

Answer:

z =6

Step-by-step explanation:

so we simplify from both side.

2( 2z - 3)  = 18

   *2      *2

4z - 6  = 18

     + 6   +6

 4z  = 24

then we divide both sides from 4

4z / 4  =  24/ 4

z = 6

Answer:

44 minutes

Step-by-step explanation:

With regards to the above information, we can calculate the minutes in which Martina's call lasted as shown below;

We can make y represent the minutes

15 - 8y/100 = 11.48

15 - 0.08y = 11.48

15 - 11.48 = 0.08y

0.08y = 3.52

y = 3.52/0.08

y = 44

It therefore means that Martina's call lasted for 44 minutes.

Answer:

3,240°

Step-by-step explanation:

Sum of interior angles of n-sided polygon is given as (n - 2)180. Where n = number of sides of the polygon.

Sum of angles of a convex 20-gon = (20 - 2)180

= (18)180 = 3,240°

Sum of interior angles of a convex 20-gon = 3,240°

Answer:

3,240

Step-by-step explanation:

(n-2)180 n is the number of sides

Substitute 20 for n, then simplify

(20 - 2)180 = (18)180 = 3,240

Answer:

The answer is C.

Step-by-step explanation:

The truck can hold up to 22 boxes.

Answer:C

Step-by-step explanation:

Answer:

(A) 12

Step-by-step explanation:

This is actually very simple!

If Talia makes 2 mistakes every 3 minutes then the ratio is 2:3

Going along with that if you know how ratios work then that should be easy. But this is also the long way. You dont really need to know ratios you just need to know the steps but knowing ratios would be helpful.

You first divide

18 / 3  =  6

Then multiply

6 x 2  =  12

That's it!

Hope this helped!  :)

Answer:

I love among us it literally so fun and is perfect is ur a spy for the FBI like me (jk lol... or am I)

Step-by-step explanation:

Whats the code?

Answer:

Me

Step-by-step explanation:

how do I explain that lol

Answer:

yeah

Step-by-step explanation:

Answer: cross multiply and divide

Step-by-step explanation:

Answer:

wait is this a question?

Answer:

a., d

Step-by-step explanation:

An open circle on a number does not include the number that has the circle. A closed circle includes the number that has the circle.

An arrow pointing to the right includes numbers that are greater than the number that has the circle. An arrow pointing to the left includes numbers that are less than the number that has the circle.

The equation is x > 5.

That means that 5 is not included, and all numbers greater than 5 are included.

5 not included: Use an open circle.

Numbers greater than 5: arrow point to the right.

Answer; a., d

Answer:

[tex]3(x + 8) - 1 = 3x + 4 \\ 3x + 24 - 1 = 3x + 4 \\ 3x + 24 - 4 - 1 = 3x \\ 3x + 19 = 3x \\ 3x - 3x = 19 \\ 0 = 19[/tex]

Step-by-step explanation:

b) 0

Answer:

3.25 round to the nearest whole number is 3

Step-by-step explanation:

The solution of the 3.25 when rounded off to the nearest whole number according to the rule of rounding numbers is 3.

Rounding off numbers means adjusting a number simpler by adjusting it to its nearest place according to certain rules.

In rounding off numbers, the place value starts from tens place.

Rounding to the nearest whole number: Look at the digit immediately to the right of the decimal point. If it is 5 or greater, round the number up. If it is less than 5, round the number down.

As per the given question,

Rounding 3.25 to the nearest whole number we look at the digit immediately to the right of the decimal point though it is less than 5 so, the number gives 3, according to the rule of Rounding numbers.

The solution of the 3.25 when rounded off to the nearest whole number is 3.

Learn more about rounding numbers here:

https://brainly.com/question/13391706

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Answer:

298 rolls

Step-by-step explanation:

As per the above, we were given that Emma bought 17 packages of rolls.

We need to find the number of rolls in the packages that he bought, hence

Total rolls = 17 packages × 18 rolls per package

= 306 rolls

Furthermore, since we have 8 rolls leftover, then total number of rolls eaten would be;

Rolls eaten = Total number of rolls in the beginning - rolls leftover

= 306 - 8

= 298 rolls

It therefore means that 298 rolls were eaten by Emma.

Answer:

C = 12

Step-by-step explanation:

Answer:

a b e f

Step-by-step explanation:The Aztec created music using instruments like drums.

The Aztec used feathers and jewelry to identify social class.

The Aztec wrote complicated poems known as flower songs.

The Aztec expanded existing structures like the Temple of the Sun. i did it

Answer:

The Aztec created music using instruments like drums.

The Aztec used feathers and jewelry to identify social class.

The Aztec wrote complicated poems known as flower songs.

The Aztec expanded existing structures like the Temple of the Sun.

Step-by-step explanation:

Answer:

-4/3 or -1  1/3

Step-by-step explanation:

First you use distibutive property on the left side then you want to devide and multiple until x is by itself.  

Answer:

3x-12 = 12x

3x = 12x +12

-9x = 12

(divide by -9)

= 4/-3

Answer:

40 meters

Step-by-step explanation:

Radius = Diameter / 2

= 80/2

= 40 meters