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bixtya [17]
3 years ago
10

What is an rational number and irrational number between 7.7 and 7.9

Mathematics
1 answer:
avanturin [10]3 years ago
4 0
Rational number is 7.8 irrational numbers is 7.7 and 7.9
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A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers
Vera_Pavlovna [14]

Answer:

a) 15 is the largest number of groups that can be made.

b) There would 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

Number of sixth-grade students = 90

Number of seventh-grade students = 75

a) What is the largest number of groups that could be formed?

Since the music director wants to make groups with the same combination of sixth and seventh grade students in each group,

The greatest common factor (GCF) of the number of sixth and seventh grade students would give us the required combination.

Factor of 90 = 2*45 = 2*3*15 = 2*3*3*5

Factor of 75 = 3*25 = 3*5*5

The greatest common factors are 3 and 5

GCF = 3*5 = 15

Therefore, 15 is the largest number of groups that can be made.

b. If that many groups are formed, how many students of each grade level would be in each group?

Sixth grade = 90/15 = 6

Seventh grade = 75/15 = 5

Therefore, there would 6 sixth grade students and 5 seventh grade students in each group.

7 0
3 years ago
Write the equation in standard form for the circle with center (-5,8) and radius 4
Anon25 [30]

Answer:

(x+5)^2+(y-8)^2=4^2

Step-by-step explanation:

I used a website called desmos.

8 0
2 years ago
Read 2 more answers
2: find the slop and the y-intercept of the line represented by the equation.
yarga [219]
The\ slope-intercept\ form:y=mx+b\\\\m\ is\ the slope\\b\ is\ y-intercept\\\\7x+y=8\\\\y=-7x+8\\\\the\ slope:m=-7\\y-intercept:b=8
7 0
3 years ago
Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
nikitadnepr [17]

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

  • Same slopes
  • Different y-intercepts

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

#LearnwithBrainly

5 0
3 years ago
Select all that are equivalent to the repeating decimal
Brrunno [24]

Answer:

8/24

Step-by-step explanation:

8/24 = 1/3 = 0.33333333...

8 0
2 years ago
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