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stellarik [79]
4 years ago
11

HURRYYYYY PLEASE A teacher has 15 weeks in which to teach six chapters. Write an equation that represents the number of lessons

the teacher must teach per week if there is an average of 8.5 lessons per chapter. WRITE THE EQUATION I HAVE THE ANSWER ALREADY
Mathematics
1 answer:
zimovet [89]4 years ago
6 0

Answer:

3.4 lessons per week

Step-by-step explanation:

If the teacher has to teach 6 chapter in 15 weeks, and each chapter has around 8.5 lessons. it means that the teacher has to teach in 15 weeks a total amount of lessons of 6*8.5= 51.

so 15 weeks---51 lessons

    1 week------x

From the above relation we have= 51/15= 3,4 lessons per week

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The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal numbe
Slav-nsk [51]

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

5 0
3 years ago
Read 2 more answers
An equilateral triangle has a perimeter of
Allushta [10]

Answer:

4y + 3

Step-by-step explanation:

An equilateral triangle has three sides of equal length.

The length of each side is 1/3 of the perimeter.

(12y + 9)/3 = 12y/3 + 9/3 = 4y + 3

Answer: 4y + 3

6 0
2 years ago
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
solmaris [256]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(x) = 5x - 4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(2a) = 5(2a) - 4

f(2a) = 10a - 4

156 = 10a - 4

10a - 4 = 156

Add sides 4

10a - 4 + 4 = 156 + 4

10a = 160

Divide sides by 10

\frac{10a}{10}  =  \frac{160}{10}  \\

a = 16

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
3 years ago
Determine whether the following graph represents a function.
Nata [24]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
14 What are the solutions to the equation 3(x − 4)² = 27?
Marat540 [252]

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>
  • 3(x - 4)² = 27
  • (x - 4)² = 9
  • √(x - 4)² = √9
  • (x - 4) = ± 3
  • x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

4 0
2 years ago
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