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borishaifa [10]
3 years ago
7

One number is four more than twice another. Their sum is 34. Find the numbers.

Mathematics
1 answer:
lianna [129]3 years ago
5 0

x = 15

2x + 4 = 34

     -4     -4

<u>2x</u>       = <u>30</u>

2             2

X         = 15

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A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
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Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

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Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

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Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.
Elis [28]
Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

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Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
x = 6y - 3

Add 3.
x + 3 = 6y

Switch sides.
6y = x + 3

Divide both sides by 6.
y =  \frac{1}{6}  x+  \frac{3}{6}  \\ y =  \frac{1}{6} x +  \frac{1}{2}

Hence, the answer is y = 1/6x + 1/2.
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The -3/7 would be slope because it is also the one with the x
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2 years ago
John’s gross pay for the week is $500. He pays 1.45 percent in Medicare tax, 6.2 percent in Social Security tax, 2 percent in st
olchik [2.2K]
Gross pay = 500

deductions :
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