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nlexa [21]
1 year ago
7

Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. ty 150 1501 ofy y 디

120 120 90 90 Total Cost ($) Total Cost ($) O Total Cost ($) 60 60 60 30 30 30 4 1 4 5 4 5 2 3 Lessons 2 3 Lessons 2 Lessons

Mathematics
1 answer:
Angelina_Jolie [31]1 year ago
3 0

Since we are asked for tge graph that represent the total cost for the x numbers of lesson, it will be helpful to illustrate it first this way

for each lesson it will cost $30 dollars

1 lesson $30

2 lessons $60

3 lessons $90

4 lessons $120

5 lessons $150

So from this set of numbers , it is apparent that the grqph in letter c represents the total costs for x numbers of lessonsseethati

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How many solutions does the system have? y = -2x-4 \\\\ y = 3x+3
lakkis [162]

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

x = -\frac{7}{5}

And

y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}

Replacing in the other equation we should get the same result.

y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}

So the system has one solution.

3 0
3 years ago
A _[blank 1]_ is a number whose only factors are 1 and itself. If a number has other factors besides 1 and itself, it is called
kykrilka [37]

Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has  factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

We are required to fill the blank with appropriate options.

We have to fill "prime numbers" in the first blank.

We have to fill "composite numbers" in the second blank.

We have to fill "the sieve of Eratosthenes" in the third blank.

Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Learn more about prime numbers at brainly.com/question/145452

#SPJ1

3 0
1 year ago
If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)
Dafna1 [17]
F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4
3 0
3 years ago
Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way
Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student =^{10}C_1=\frac{10!}{1!9!}=10\\

Now left student = 10 -1 = 9

So number of ways to assigned double student =^{9}C_2=\frac{9!}{2!7!}=36

Now left student = 9-2 = 7

So number of ways to assigned triple student =^{7}C_3=\frac{7!}{2!4!}==70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student =^{4}C_4=\frac{4!}{4!0!}=1

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

6 0
3 years ago
Muffy, Carlos, Doug and Shay are flying kites.
Morgarella [4.7K]
Muffy = 175 feet
Carlos = 100 feet
Dough = 125 feet
Shay = 50 feet

Hope I helped.
7 0
3 years ago
Read 2 more answers
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