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3 years ago

A recipe that serves 8 people requires 4 1/2 cups of flour.

Mathematics

2 answers:

Degger [83]3 years ago

8 0

Answer:

6 cups

Step-by-step explanation:

3 times 4 1/2=6

masya89 [10]3 years ago

4 0

Well, if 8 people requires 4 1/2 cups of flour and 24 is three times 8 then you have to multiply 4 1/2 by 3. Hope this helps!

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8÷1000=0.0008

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4 years ago

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6 plates were not used

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3 years ago

Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

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3 years ago

What is the pobability that a number cube with six

Snowcat [4.5K]

Answer: $\dfrac{1}{6}$

Step-by-step explanation:

We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6

Given : Favorable outcome = 5

i.e. Number of favorable outcomes =1

We know that the formula to find the probability for each event is given by :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

Then, the probability that the six faces cube will land with the number 5 face up will be :_

$\dfrac{1}{6}$

Hence, the required probability = $\dfrac{1}{6}$

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3 years ago