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stich3 [128]
3 years ago
8

Twice the difference of a number and 1 is 4 more than that number. Find the numbers using Polyas 4 step

Mathematics
1 answer:
const2013 [10]3 years ago
4 0

Answer:

6

Step-by-step explanation:

2 times the difference of a number and 1 = 4 plus that number

In other to express the word problem Mathematically ; let the number = x

2(x - 1) = 4 + x

Expand

2x - 2 = 4 + x

Collect like terms

2x - x = 4 + 2

x = 6

Hence, the number is 6

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Lee and his family are planning a hiking trip on the Appalachian Trail. They are packing food in 2-lb bundles. How many bundles
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36/2 is 18. 18 bundles.

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3 years ago
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Kiara downloaded 264 pictures from her cell phone to her computer. These pictures took up 528 megabytes of space on her computer
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Answer: 70

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4 years ago
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The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29, where x is the distance from the
Komok [63]

Answer:

the maximum height of the water is 7 ft

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have −4x^2 + 24x − 29.

Rewrite -4x^2 + 24x as -4(x^2 - 6x) and then complete the square of (x^2 - 6x).  We get:

(x^2 - 6x + 9 - 9), which is exactly equivalent to (x^2 - 6x).

Going back to the original equation:  −4x^2 + 24x − 29, or

−4(x^2 - 6x) − 29.

Now replace (x^2 - 6x) with (x^2 - 6x + 9 - 9):

-4(x^2 - 6x + 9 - 9) - 29, which simplifies to:

-4(x - 3)^2 + 36 - 29, or

-4(x - 3)^2 + 7, whose vertex is (3, 7).  Thus, the maximum height of the water is 7 ft.  

6 0
3 years ago
PLEASE HELP. like NOW i have no clue how to do this. you have to set it up using a proportion method.
ExtremeBDS [4]
The answer to number 16 is 20%.
5 0
4 years ago
Jaxon Rollison
faust18 [17]

Answer:

6200

Step-by-step explanation:

first find how much she would make purely based on hours worked:

8x40 = 320 dollars

next subtract this from total on her paycheck so 692-320 is 372

we know that 372 is 6% of a number so...

\frac{6}{100} x = 372

\frac{6x}{100} = 372

6x= 37200(100)

x=6200 $ divide by 6

so she sold $6200 worth of merchandise to earn $372 of commission

3 0
3 years ago
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