Fill in the common equivalents. 1.) 66 2/3%
= ?/?

Answers

Answer 1
Answer: well 66 is 66 and 2/3 is 66.6 repeating so 66 

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a school is buying jerseys for their baskett ball team that cost $35 each. how many jerseys were purchased if she school spent $560

Answers

Answer: 16

Step-by-step explanation:

560 divided by 35=16

560/35=16

16 jerseys would be purchased

Which binomial is a factor of 9x2 – 64?

Answers

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Find two consecutive number which add up to 89.
What are the steps.

Answers

let the first number be x
the second number is (x + 1)
according to the condition,
x+(x+1)=89
or, 2x+1=89
or, 2x=89-1
or, 2x=88
or, x=88/2
or, x = 44

therefore,
first number = 44
second number = 45
irst lets represent
x as first number and x+1 as ne t consecutive number

x+x+1=89
2x=88
x=44

therefore the consecutive numbers are 44 and 45

The graph of this quadratic function is a parabola. What is the equation of the axis of symmetry?y=x^2+-6x+5

Answers

Answer:

The answer to your question is x = 3

Step-by-step explanation:

Equation

                               y = x² + 6x + 5

Process

1.- Find the vertex

                              x² - 6x     = y - 5

                              x² - 6x + (3)² = y - 5 + (3)²

                              (x - 3)² = y - 5 + 9

                              (x - 3)² = y + 4                                

Vertex = (3, -4)

2.- It is vertical parabola and the axis of symmetry is parallel to the y-axis and crosses the point 3.

The equation of the axis of symmetry is   x = 3          

See the graph below (blue line)            

Darius took a road trip to their grandmother's house. They drove at a constant speed of 60 miles per hour for 2 hours. They took a break and then finished the rest of their trip driving at a constant speed of 50 miles per hour for 2 hours. What was the total distance, in miles, of Darius' trip?

Answers

Answer: 220 miles

Step-by-step explanation:

Distance travelled is calculated as:

= Speed × Time

Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:

= (60 × 2) + (50 × 2)

= 120 + 100

= 220 miles

Write a recursive formula for the sequence 7, 13, 19, 25, 31 then find the next term in the sequence?

Answers

Answer:

The recursive formula is

f(1)=7

f(n)=f(n-1)+6

and the next term is in the sequence is 37.

Step-by-step explanation:

We first have to find a pattern in the numbers we are given. We notice that each number is 6 greater than the previous; for example 13 is 7+6, 19 is 13+6 and so on. Mathematically we write this as

f(n)= f(n-1)+7

Where f(n) is the value of nth term of the sequence.

The sequence starts at 7, therefore the first term in the sequence is:

f(1)=7

Now the next term (it will be 6th term) of the sequence will be 6 greater than the previous term, and since the previous term is 31, we have:

f(6)=f(5)+6=31+6=37..

Thus the next term in the sequence is 37, and the recursive formula is

f(1)=7

f(n)=f(n-1)+6.

Answer:

recursive formula: a_n=a_(n-1)+6

next term in the sequence: a_1=7;37

hope this helps! :)