Sarah has 12 bags of apples. Mikaela has 17 bags of apples. Each bag has the same amount of apples inside. Wrie an expression fo
1 answer:
The expression for the total amount of apples is 29x
<em><u>Solution:</u></em>
Given that,
Sarah has 12 bags of apples
Mikaela has 17 bags of apples
Each bag has the same amount of apples inside
Let "x" be the number of apples in each bag
Then,
Sarah has 12x apples
Mikaela has 17x apples
<em><u>Wrie an expression for the total amount of apples</u></em>
Total amount of apples = 12x + 17x
<em><u>Then simplify it using the distributive property to create an equivalent expression</u></em>
By distributive property,
a(b + c) = ab + bc
Therefore,
Thus expression for the total amount of apples is 29x
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Answer:
The inequality represented by the graph is y > x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
<em>To find the inequality represented by the graph, find at first the equation of the line</em>
∵ The line passes through points (0, -3) and (3, -2)
∴ x1 = 0 and y1 = -3
∴ x2 = 3 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m = =
=
∴ m =
→ Substitute it in the form of the equation above
∴ y = x + b
∵ b is the y-intercept ⇒ value y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation
∴ y = x + -3
∴ y = x - 3
→ Let us change it to inequality
∵ The line is dashed
∵ The shading area is above the line
∴ The sign of inequality should be >
∴ y > x - 3
∴ The inequality represented by the graph is y > x - 3