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Paraphin [41]
3 years ago
11

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are

the cost, y, in dollars and the amount of yogurt, x, Proportional. Explain.
Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

<em>The cost in dollars and the amount of yogurt are proportional</em>

Step-by-step explanation:

<u>Proportions</u>

Two variables are proportional if the ratio or division between them is a constant value.

Kareem buys a 32-oz container of yogurt for $2.56. We can compute the ratio of the quantity of yogurt and price 32/2.56 and we get 12.5. Jonah buys a 6-oz container of yogurt for $0.48. The relation is now 6/0.48=12.5

Since both ratios are equal, we can say the amount of yogurt, and the cost in dollars are proportional variables

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The cube less the square of a number is twice the number. If x is a positive integer, what is its value
olga55 [171]

Answer:

2

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

3 0
2 years ago
What is between 3/8 in a number line
storchak [24]
Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.

There are 2 different equalities that I'm not sure which one you want.

so the first one would be
3 \leqslant x \leqslant 8
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.

If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
3 < x < 8
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.


If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
3 0
3 years ago
Explain how you can use a model to find 6x17
FromTheMoon [43]

Answer:

6*17

6*7=42

6*17=42

6*17=60

6*17=42+60

=102

Step-by-step explanation:


7 0
3 years ago
let f(x)=2x^2+7x-4/x^3-1 what is the domain,range,roots,end behavior and intersect the y-axis of f(X)
victus00 [196]
Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

<u>Domain</u>
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

<u>Range
</u>
<u />Resulting f(x) values: all Real Numbers<u>
</u>
<u>Roots
</u>
x = 1/2 & -4

<u>Axis interception points</u>
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

<u>Asymptotes</u>
Vertical: x = 1
Horizontal: y = 0
3 0
3 years ago
Rename 1/5 and 9/10 using the least common denominator
skad [1K]

Answer:

2/10

Step-by-step explanation:

you have to match the bottom number on both fractions then do what ever you did to the top number

so with this to get the 5 to a 10 you have to times it by 2

so you do the same to the 1

3 0
3 years ago
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