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Alex787 [66]
4 years ago
10

The table shows a proportional relationship between the number of meals and the cans of food used to prepare the meals. What is

the constant of proportionality for meals to cans?
Cans of Food 2 4 6
Number of Meals 4 8 12


A. 2
B. 4
C. 8
D. 32
Mathematics
1 answer:
forsale [732]4 years ago
5 0
It's A. cause for every 2 cans you get the double number of meals
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JulijaS [17]
The answer you need is C)
7 0
4 years ago
If G is the centroid of triangle ACE, AG = 26, BC = 44, DG = 12, find each missing measure
hram777 [196]

Answer:

Part a) G.F=13\ units

Part b) A.F=39\ units

Part c) F.C=22\ units

Part d) G.B=24\ units

Part e) D.B=36\ units

Step-by-step explanation:

we know that

The centroid of a triangle is the point where the three median.s coincide.

The centroid is located two thirds of the distance from any vertex of the triangle.

step 1

<em>Find the value of A.F.</em>

we know that

A.G=\frac{2}{3} A.F

we have

A.G=26\ units

substitute

26=\frac{2}{3} A.F

Solve for A.F.

A.F=26(3)/2

A.F=39\ units

step 2

<em>Find the value of G.F.</em>

G.F=\frac{1}{3} A.F

substitute the value of A.F

G.F=\frac{1}{3} (39)=13\ units

step 3

<em>Find the value of F.C. </em>

Remember that a median of a triangle is a line segment from one vertex to the mid-point on the opposite side of the triangle

so

F.C=\frac{1}{2}B.C

we have

B.C=44\ units

substitute

F.C=\frac{1}{2}(44)

F.C=22\ units

step 4

<em>Find the value of D.B.</em>

D.G=\frac{1}{3} D.B

we have

D.G=12\ units

substitute

12=\frac{1}{3} D.B

D.B=12(3)=36\ units

step 5

<em>Find the value of G.B</em>

G.B=\frac{2}{3} D.B

substitute the value of D.B.

G.B=\frac{2}{3} (36)

G.B=24\ units

7 0
4 years ago
Gina Wilson unit 6 homework 4
Margaret [11]

Answer:

  • 10) 57.6
  • 11) 27.3
  • 12) 12.75
  • 13) 10
  • 14) 14
  • 15) 5

Step-by-step explanation:

  • <em>If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.</em>

<u>Using the above we find the value of x</u>

10.

  • x/48 = 30/25
  • x/48 = 6/5
  • x = 48*1.2
  • x = 57.6

11.

  • x/ (49 - 28) = 36.4/28
  • x/21 = 9.1/7
  • x = 21*9.1/7
  • x = 27.3

12.

  • (2x + 6)/36 = 52.5/60
  • (x + 3)/18 = 7/8
  • x + 3 = 18*7/8
  • x + 3 = 15.75
  • x = 12.75

13.

  • (x - 3)/21 = (x - 1)/27
  • 9(x - 3) = 7(x - 1)
  • 9x - 27 = 7x - 7
  • 9x - 7x = 27 - 7
  • 2x = 20
  • x = 10

14.

  • (2x + 5)/22 = (x + 10)/16
  • 8(2x + 5) = 11(x + 10)
  • 16x + 40 = 11x + 110
  • 16x - 11x = 110 - 40
  • 5x = 70
  • x = 14

15.

  • (7x - 11)/(4x - 2) = 20/(35 - 20)
  • (7x - 11)/(4x - 2) = 4/3
  • 3(7x - 11) = 4(4x - 2)
  • 21x - 33 = 16x - 8
  • 21x - 16x = 33 - 8
  • 5x = 25
  • x = 5

5 0
3 years ago
Which function corresponds with the table?
masha68 [24]

Answer:

Answer:

Answer:

It's B

7 0
3 years ago
Meg has a 7/8 jug of orange juice. How many 1/2 jug servings can Meg get from that jug?
Nadusha1986 [10]

Answer:

She can get one 1/2 jug of orange juice

Step-by-step explanation:

1/2 = 4/8

7/8 - 4/8 = 3/8

3/8 is less than 1/2 so she can only get one 1/2.

5 0
4 years ago
Read 2 more answers
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