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kramer
3 years ago
11

Write 18z − 7 (−3 + 2z) in simplest form. Select True or False for each statement.

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

Simplest form = 4<em>z </em>+ 21

Case 1: True, Case II: false and Case III: true

Step-by-step explanation:

18<em>z </em>- 7( -3 + 2z)

= 18<em>z</em> + 21 - 14z

= 18<em>z</em> -14z + 21

= 4<em>z </em>+ 21

So, in the above expression we have two terms. First term is 4z and second term is 21.

So the first case is true. As the expression has two terms.

The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.

The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.

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The ammunition storage room has 10 feet between the floor and the ceiling. Each box of ammunition is 10 feet tall. Each crate of
KIM [24]

Answer:

the maximum number of crates that can be stacked between the floor and ceiling

\frac{height \hspace{0.1cm} of  \hspace{0.1cm} ammunition \hspace{0.1cm} box}{height \hspace{0.1cm} of  \hspace{0.1cm} each \hspace{0.1cm} crate}  = \frac{10 \hspace{0.1cm}  feet}{12 \hspace{0.1cm}  inches}  =  \frac{10 \times 12  \hspace{0.1cm} inches }{12  \hspace{0.1cm} inches}  = 10 \hspace{0.1cm}  crates

where 1 foot  = 12 inches. SO the answer is that a maximum of 10 crates can be stacked from floor to ceiling.

Step-by-step explanation:

i) the maximum number of crates that can be stacked between the floor and ceiling

\frac{height \hspace{0.1cm} of  \hspace{0.1cm} ammunition \hspace{0.1cm} box}{height \hspace{0.1cm} of  \hspace{0.1cm} each \hspace{0.1cm} crate}  = \frac{10 \hspace{0.1cm}  feet}{12 \hspace{0.1cm}  inches}  =  \frac{10 \times 12  \hspace{0.1cm} inches }{12  \hspace{0.1cm} inches}  = 10 \hspace{0.1cm}  crates

where 1 foot  = 12 inches

3 0
3 years ago
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vaieri [72.5K]

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7 0
3 years ago
Anjali paid $8 for a salad. She now has<br> $37. With how much money did she start?
sleet_krkn [62]

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

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3 years ago
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What is the 6th term of the geometric sequence 4, −20, 100, ...?
shtirl [24]
Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
<u />a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500<u />
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3 years ago
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Answer:

8.0%

Step-by-step explanation:

<u>.8</u> * 5,000 = 400

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3 years ago
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