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romanna [79]
1 year ago
5

Evaluate the expression if a = 2, b = −3, c = −4, h = 6, y = 4, and z = −1. 5+|2b|

Mathematics
1 answer:
Minchanka [31]1 year ago
5 0

Answer:

11

Step-by-step explanation:

5+|2b| \\ \\ =5+|(2)(-3)| \\ \\ =5+|-6| \\ \\ =5+6 \\ \\ =11

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How many flowers, spaced every 6 in are needed to surround a circular garden with a 150 ft radius.Use 3.14 for pie
kvv77 [185]

Answer:

1884 flowers

Step-by-step explanation:

Radius of the garden=150 ft

To determine the number of flowers needed to surround the circular garden, we first find the perimeter.

\text{Perimeter of a circle=}2\pi r\\\text{Perimeter of the garden=}2X3.14X150=942$ Feet

Since the flowers are spaced every 6 in, we need to convert from inch to feet because we cannot divide different units.

Now, 12 Inch =1 Feet

Therefore, 6 Inch =0.5 feet

To determine the number of flowers, we simply divide the perimeter by 0.5 ft.

Number of flowers=942/0.5

=1884 flowers

5 0
3 years ago
Complete the square to form a true equation;<br> x^2-2x+__=(x-__)^2
erica [24]

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )² to x² - 2x

x² + 2(- 1)x + 1

(x² - 2x + 1 = (x - 1)²

6 0
3 years ago
The sum of two numbers is 357 and the difference is 41
dmitriy555 [2]

Answer:

x=199 and y=158

Step-by-step

Let x and y be two numbers

Given that the sum of the two numbers is 357, it may be written as

x+y=357\hfill (1)

difference of the two numbers is 41, it may be written as

x-y=41\hfill (2)

Now adding (1) and (2), we get

x+y=357

x-y=41

_______________________________________

2x=398

_______________________________________

x=\frac{398}{2}                      (Where y is in alternative signs so it may be cancelled)

Therefore

x=199

now substituting x=199 in (1) we get

199+y=357

y=357-199

Therefore

y=158

4 0
3 years ago
Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much d
Softa [21]
All you need to do is multiply 2 by 5 and you'll get the answer of 10
6 0
3 years ago
Oggie had $12,000 saved.
Dovator [93]
It increased by 417%

Percentage of increase = |12000 - 62000|/12000 = 50000/12000 = 4.1666666666667
6 0
4 years ago
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