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Mathematics

2 answers:

vichka [17]2 years ago

8 0

Answer:

4/3

Step-by-step explanation:

multiply (top) numerator x numerator and (bottom) denominator x denominator

2 x 10 = 20 and 5 x 3 = 15 or 20/15

So, 2/5 x 10/3 = 20/15

reduce 20/15 to simplest terms, both are divisible by 5

divide both numerator and denominator by 5 and get:

20/15 = 4/3
So, 2/5 x 10/3 = 4/3

MrRissso [65]2 years ago

7 0

Answer:

1 1/3

Step-by-step explanation:

2/5 x 10/3

Multiply across - 

10 x 2 = 20

5 x 3 = 15

20/15

Simplify - 

20/15 to 4/3

Divide 4 by 3

You get 1 1/3

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Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain

Blizzard [7]

No, it does not.

In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect
4lw + 4lh + 4wh

No, it is not doubled.

4 0

3 years ago

Using the variables 'x' and 'y', write an equation for the situation. Your school sold adult and student tickets for a high scho

tiny-mole [99]

X+y=782

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5 0

3 years ago

Read 2 more answers

1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba

Pavel [41]

Answer:

Step-by-step explanation:

The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b) The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.