Question:
2/3 + y - 1/9 = 7/9
y = ?
Solution:
Find A Common Denominator For 2/3 Which Is 6/9
6/9 + 2/9 = 8/9
8/9 - 1/9 = 7/9
6/9 + 2/9 - 1/9 = 7/9
Final Answer:
y = 2/9
Hope This Helps!
-EliteAnswers-
Answer:
55,56,57
Step-by-step explanation:
Answer:
623
Step-by-step explanation: 62.3x10=623
Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is f(x).
The transformations are as follows:
- Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, .
- Reflection over the x-axis, hence the function is multiplied by -1, that is, .
- Shift down, hence a constant b is subtracted from the graph, that is, .
You can learn more about translation concepts at brainly.com/question/21197885
The price of one hat is $2 and one pair of mittens is $5
Step-by-step explanation:
Hats and mittens are on sale at the store!
- One woman was able to buy 5 hats and 4 pairs of mittens for $30
- Another woman purchased 3 pairs of mittens and 2 hats for $19
- The price of one hat is x
- The price of one pair of mittens is y
We need to find x and y
∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30
∵ The price of one hat is x
∵ The price of one pair of mittens is y
- Multiply 5 hats by x and 4 pairs of mittens by y and equate
their sum by 30
∴ 5x + 4y = 30 ⇒ (1)
∵ Another woman purchased 3 pairs of mittens and 2 hats for $19
- Multiply 2 hats by x and 3 pairs of mittens by y and equate
their sum by 19
∴ 2x + 3y = 19 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2 and equation (2) by 5 to eliminate x
∵ -10x - 8y = -60 ⇒ (3)
∵ 10x + 15y = 95 ⇒ (4)
- Add equations (3) and (4)
∴ 7y = 35
- Divide both sides by 7
∴ y = 5
Substitute the value of y in equation (1) or (2) to find x
∵ 2x + 3(5) = 19
∴ 2x + 15 = 19
- Subtract 15 from both sides
∴ 2x = 4
- Divide both sides by 2
∴ x = 2
The price of one hat is $2 and one pair of mittens is $5
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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