Explain how you solve this: -7 = -1 + x/3
1 answer:
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Given:
A table of values of a linear function.
To find:
The slope, y-intercept and equation of the function.
Solution:
Take any two points on the table.
Let the points are (-1, -3) and (0, -6).
Slope of the line:
m = -3
Slope of the function = -3
y-intercept of the function is the point where x = 0.
In the table y = -6 when x = 0
y-intercept = -6
Equation of a line:
y = mx + c
where m is the slope and c is the y-intercept
y = -3x + (-6)
y = -3x - 6
Equation of a function is y = -3x - 6.
Answer:
2.625 cups or 21 ounces
Step-by-step explanation:
Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.
She has 28 ounces of white paint. But, you have to convert ounces to cups.
1 cup = 8 ounces
28 ounces ÷ 8 ounces/cup = 3.5 cups
Now set up a ratio.
X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)
Cross multiply and divide.
x = 0.75 × 3.5
x = 2.625 cups
To convert to ounces, multiply by 8.
2.625 cups × 8 ounces = 21 ounces
Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.
Hope that helps.