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lisov135 [29]
2 years ago
7

What are the solutions to the system of equations graphed below?

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
6 0

Answer:

looking at the straight line, it touches the axis at (-2,0) and (6,0)

Step-by-step explanation:

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The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.
iren [92.7K]
X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
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5 0
3 years ago
Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

The volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = \frac{1}{2} diameter = \frac{1}{2} (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = \frac{1}{3} (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

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