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patriot [66]
3 years ago
6

I make $4 per hour as a waiter, plus tips. This week, after

Mathematics
1 answer:
astraxan [27]3 years ago
8 0

34 hours

$332-$196= $136

136÷4=34 hrs

34×$4= $136

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The sum of two numbers is 33. Their difference is 23. Find the numbers.
Ipatiy [6.2K]

Answer: The numbers are 28 and 5

Step-by-step explanation: The question gives a set of clues. In the first instance, the addition of two numbers equals 33. Let us assume the two numbers are A and B. What that means is that

A + B = 33.

We shall call this equation 1.

The other clue is given as “their difference is 23.” This can be expressed as

A - B = 23.

We shall call this equation 2.

Now we have a pair of simultaneous equations as follows

A + B = 33 —————-(1)

A - B = 23 —————-(2)

We shall use the substitution method

From equation (1), if we make A the subject of the equation we shall move B to the other side and we’ll have

A = 33 - B

Substitute for the value of A in equation (2)

A - B = 23 now becomes

(33 - B) - B = 23

33 - B - B = 23

33 - 2B = 23

By collecting like terms we now have 33 - 23 = 2B

(Remember that when a positive value crosses to the other side of an equation, it becomes negative, and vice versa)

33 - 23 = 2B

10 = 2B

Divide both sides of the equation by 2

5 = B

If we calculate B as 5

We can substitute for this value into equation 1, which is

A + B = 33

A + 5 = 33

Subtract 5 from both sides of the equation

A + 5 - 5 = 33 - 5

A = 28.

Therefore the numbers are 28 and 5.

8 0
3 years ago
For quadrilateral ABCD, determine the most precise name for it. A(-2,3), B(9,3), C(5,6) and D(2,6). Show your work and explain.
horsena [70]
To solve this problem you must apply the proccedure shown below:

 1. You have the following points given in the problem above:

 A<span>(-2,3), B(9,3), C(5,6) and D(2,6)

 2. When you plot them, you obtain the figure shown in the graph attached. 

 3. Therefore, as you can see, the answer is:  the figure is a trapezoid, which is define as a quadrilateral with two parallel sides.</span>

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maks197457 [2]

Answer: 94x-1

Step-by-step explanation:

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Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2
EleoNora [17]

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

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