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Elden [556K]
3 years ago
15

A recipe calls for 1 part beans to 1½ parts rice. if 1½ parts of beans are used, how much rice should be used?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0
1 \text{ part beans} \longrightarrow  1\dfrac{1}{2}  \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  1\dfrac{1}{2}  \times 1 \dfrac{1}{2}  \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  \dfrac{3}{2}  \times \dfrac{3}{2}  \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  \dfrac{9}{4} \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  2\dfrac{1}{4} \text{ parts rice}
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vampirchik [111]

The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2

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An equation is an expression that shows the relationship between two or more numbers and variables.

From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2

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2 years ago
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
Anna [14]
C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

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3 years ago
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

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∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

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- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

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Simplify it to 6v=12
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