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pickupchik [31]
3 years ago
9

Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions

Mathematics
1 answer:
choli [55]3 years ago
5 0
1/2 ÷ 1/2
= 1/2 ÷ 2/1
= 1/2 × 2/1
= 2/2
= 1
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Gallon of gas: $2.15, 15% markup
Irina18 [472]
The answer would be $2.47
3 0
3 years ago
Write an equation for the table 2 5 5.6 14 7 17.5 8 20
vova2212 [387]

The equation for the table is y = 2.5 x

Step-by-step explanation:

The table is:

  • x  →  2    :    5.6    :    7    :    8
  • y  →  5    :    14      :  17.5  :    20

Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates

∵ \frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5

∵ \frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5

∵ \frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5

∴ The rate of change between each two points is constant

∴ The table represent a linear equation

The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0

∵ m = 2.5

- Substitute it in the form of the equation

∴ y = 2.5 x + b

- To find b substitute x and y by the coordinates of any point

  in the table above

∵ x = 2 and y = 5

∴ 5 = 2.5(2) + b

∴ 5 = 5 + b

- Subtract 5 from both sides

∴ 0 = b

∴ y = 2.5 x

The equation for the table is y = 2.5 x

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

5 0
3 years ago
The scatter plot below shows the relationship between the length (x) in meters and mass f(x) in kg of a marine animal
Vlad [161]
F(x) = -9 + 10.3x probably.
It's definitely not the first or last option as they have negative gradients (i.e. negative x-coefficient) and so represent a negative correlation. The data given tells us there is a positive gradient and so a positive correlation.
It could be the second option as the second and third are not so vastly different but I would go for the third because it appears to most closely fit the data pattern.
6 0
3 years ago
Read 2 more answers
What percent of 1 3/5 is 0.2 and what percent of 2 is 0.2?
natulia [17]

Answer:

1 3/5 = 8

2 = 10

Step-by-step explanation:

1 3/5 is 1.60 in decimal form so divide 1.6/0.2

2 is 2 so divide that by 0.2

6 0
3 years ago
2x - 5y = 16<br> x - 2y = 5<br> elimination?
harina [27]

Answer:

Y = 6

X = 24

Step-by-step explanation:

2x -5y = 16

(x -2y =5)*2

_______________

2x -5y = 16

2x - 4y = 10

_______________

(2x -5y = 16) - (2x - 4y = 10)

_______________

0x -y = 6

_______________

y =6

_______________

Replacing in equation 1:

2x - 5(6) = 16

so, 2x = 16 + 30

2x = 48

x = 24

6 0
3 years ago
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