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kirill115 [55]
2 years ago
14

10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of correspon

ding values of x and y? (A) 12 and 5 (B) 15 and 4 (C) 25 and 2.4 (D) 45 and 1.2
expain me
mods plz answer ​
Mathematics
1 answer:
elena55 [62]2 years ago
8 0

9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

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You randomly select k integers between 1 and 100, inclusive. What is the smallest k that guarantees that at least one pair of th
vredina [299]

Answer:

51

Step-by-step explanation:

The possible components to sum up to 101 can only be divided into 2 groups, 1 is larger than 50 and the other is less than or equals to 50

For example

50 + 51 = 101

52 + 49 = 101

60 + 41 = 101

...

99 + 2 = 101

100 + 1 = 101

Therefore, the worst case scenario is to pick all numbers from only 1 group, either all number less than or equal to 50, which there are 50 of them from 1 to 50, or greater than 50, which there are 50 of them from 51 to 100.

So k has to be at least 51 to guarantee that at least one pair of the selected integers will sum to 101

6 0
3 years ago
Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
gulaghasi [49]

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The  cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

4 0
3 years ago
explain how the distributive property helps us multiply the following polynomials and why and how the final product differ
stira [4]
What are the following polynomials
3 0
4 years ago
Read 2 more answers
What is 37+8x=4(7-x)
nadezda [96]
Simplifying
37 + 8x = 4(7 + -1x)
37 + 8x = (7 * 4 + -1x * 4)
37 + 8x = (28 + -4x)

Solving
37 + 8x = 28 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
37 + 8x + 4x = 28 + -4x + 4x

Combine like terms: 8x + 4x = 12x
37 + 12x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
37 + 12x = 28 + 0
37 + 12x = 28

Add '-37' to each side of the equation.
37 + -37 + 12x = 28 + -37

Combine like terms: 37 + -37 = 0
0 + 12x = 28 + -37
12x = 28 + -37

Combine like terms: 28 + -37 = -9
12x = -9

Divide each side by '12'.
x = -0.75

Simplifying
x = -0.75
7 0
3 years ago
Explain how you know the number of decimal places that should be in the product when you multiply two decimal numbers together.
Butoxors [25]
When you multiply a decimal with a decimal, you just multiply like you would with whole numbers. Then, you count the numbers to the right of the decimal for both multiplicand an multiplier. If the equation was 8.374 x 1.234, then you would put the decimal 6 spots to the left of the product. For the first step of solving this is just multiply like and decimal is not there. The answer would be 10333516. Then you count the number right of the multiplicand and the multiplier. In total there is 6 numbers, so you put the decimal 6 spots to the right. The end result would be 10.333516. Hope this helped!
4 0
3 years ago
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