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seropon [69]
4 years ago
6

pls help fooood At dinner time in RSM Summer Camp, David noticed that he had three choices of soups, four choices of salads, two

choices of sandwiches, and a choice between tea and juice. If David wanted to select one item from each category including one drink, how many different orders could he make?
Mathematics
1 answer:
prohojiy [21]4 years ago
8 0

Answer:

48

Step-by-step explanation:

To figure this out, we need to multiply the option together.

3*4*2*2=48

There are 48 different orders

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Arturiano [62]

Answer:

Yes

Step-by-step explanation:

If you draw a vertical line through it, no x value has more than one y values.

7 0
3 years ago
Solve 5x^2 - 7x + 2 = 0 by completing the square.
Reika [66]

Answer:  The correct option is (c) \dfrac{49}{100}.

Step-by-step explanation:  We are given to solve the following quadratic equation by the method of completing the square:

5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.

So,

x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.

Thus, the required solution is x=1,~-\dfrac{2}{5}. and the value of the constant added is \dfrac{49}{100}.

Option (c) is correct.

3 0
3 years ago
Which polynomial is represented by the algebra tiles?
aev [14]

Answer:

2x^2-4x-6

Step-by-step explanation:

I don't know what kind of math this is, but simply add up all of the like-terms.

There are 2 +x^2 --> 2x^2

There are 4 -x --> -4x

There are 6 - --> -6

7 0
3 years ago
Read 2 more answers
What is 6(5x-3) ??? I dont know what it is
aalyn [17]

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

<em>Distribute the 6 to both monomials.</em>

6 * 5x = 30x

6 * -3 = -18

<em>Combine both final monomials.</em>

30x - 18

8 0
3 years ago
Geometry question. Parallel lines. “Find value of x that will make A||B”
Natali5045456 [20]

Answer:

x = 11

Step-by-step explanation:

These angles are alternate exterior angles which means they are equal to each other:

5x + 9 = 6x - 2

5x - 6x = -2 - 9

-x = -11

x = 11

8 0
3 years ago
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