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adelina 88 [10]
3 years ago
7

Gwen borrowed $20 from her mother to buy a scarf. Then, she went to her favorite department store and charged a pair of boots fo

r $120 and boot socks for $12. Which absolute value statement describe's Gwen's total debt?
A) |152|= 152
B) |-152| = $152
C) -|152| = -152
D) -|-152| = -152
Eliminate
What is another way to express 16?
A) 42
B) 23
C) 4 x 2
D) 14


Home Rentals

Greenville Decatur Fayetteville Centerpoint
$980 $1,020 $560 $875
$750 $850 $950 $560
$690 $550 $1,100 $695
$830 $660 $875 $1200
$885 $1,000 $750 $825
$830 $750 $650 $700

Maria is looking for a place to move. She has narrowed it down to 4 towns: Greenville, Decatur, Fayetteville, and Centerpoint. She wants to live where the median rental for a house is the lowest. Where should she live?
A) Centerpoint
B) Decatur
C) Fayetteville
D) Greenville

Where is the opposite of 8 located on a number line?
A) to the left of 0
B) to the right of 0
C) to the right of 8
D) to the right of 1

Divide:

34.65 ÷ 1.5
A) 2.31
B) 21.3
C) 23.1
D) 231

A florist has 66 carnations and 42 roses. What is the greatest number of identical bouquets that can be made without any flowers leftover?
A) 4
B) 5
C) 6
D) 7

The answer to the problem 5 x (4 + 1) is called a _____.
A) sum
B) difference
C) product
D) quotient

Penny is 6 inches taller than Claire. Claire's height can be represented by n. Write an expression to represent Penny's height.
A) 6n
B) n + 6
C) 6 - n
D) n - 6

At Store 1 I can buy 36 oz of baby formula for $26.62, and at Store 2 I can buy 28 oz of baby formula for $22.42. Which one is a better buy and by how much?
A) Store 1 by $0.74 an ounce.
B) Store 2 by $0.06 an ounce.
C) Store 2 by $0.80 an ounce.
Eliminate
D) Store 1 by $0.06 an ounce.
Mathematics
1 answer:
inessss [21]3 years ago
6 0
For the 5th question- A
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123.8

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nearest tenth is 7 and the sixes aftr it are over half of a full decimal, so they round to 123.8

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A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 and 1/2 cups of mixed nuts. the mixed nuts are shared evenly am
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2 1/3 cups for each hiker

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21. In 4 + In(4x - 15) = In(5x + 19)
Alexxx [7]

Answer:

x=-30;\quad \:I\ne \:0

Step-by-step explanation:

In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)

\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\

\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\

\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:

\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0

3 0
3 years ago
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