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Studentka2010 [4]
3 years ago
11

3. Joe's mother had of an 1/3apple pie left. Joe cut the remaining pie into 4 equal pieces and ate one piece. What fraction of t

he whole pie did that
one piece equal?
Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

Step-by-step explanation:

1/3 *1/4= 1/12

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Is this linear relationship a direct variation?
Talja [164]

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Step-by-step explanation:

A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.

A relationship is direct variation if y=kx\,\,or\,\, \frac{y}{x} =k where k is the constant.

Now checking if the given data is having direct variation or not.

x       y

3       24

4       32

5       40

6       48

Now finding y/x

if y=24 and x = 3 then y/x = 24/3 = 8

if y=32 and x = 4 then y/x =32/4=8

if y=40 and x = 5 then y/x =40/5 =8

if y=48 and x = 6 then y/x =48/6= 8

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
  • brainly.com/question/2495851
  • brainly.com/question/5069437

#learnwithBrainly

5 0
3 years ago
A school contains students in grades 1, 2, 3, 4, 5, and 6. Grades 3, 4, 5, and 6 all contain the same number of students. There
3241004551 [841]

Answer:

Step-by-step explanation:

answer is 4

7 0
3 years ago
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
3 years ago
Read 2 more answers
How to graph a proportional relationship and calculate the unit rate.
poizon [28]

Answer:

The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.

7 0
3 years ago
Simplify completely****​
andreyandreev [35.5K]

Answer:

\displaystyle \frac{x + 7}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 + 12x + 35}{3x + 15}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                          \displaystyle \frac{(x + 5)(x + 7)}{3x + 15}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{x + 7}{3}
4 0
3 years ago
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