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egoroff_w [7]
3 years ago
11

What’s the percent of change of 100 acres to 140 acres

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
It is a 40% increase.
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The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
vovikov84 [41]

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
8 0
3 years ago
A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and
emmasim [6.3K]
It is decreased by a factor of 3. You can determine this by realizing that one inch original equals 3.3 feet, but the equals 1.1 feet, and 3.3/1.1 = 3.
7 0
3 years ago
Read 2 more answers
-2x+4y=5x-5y solve for y
Lubov Fominskaja [6]

Answer:

y = 7x / 9

Step-by-step explanation:

3 0
3 years ago
The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.
Tresset [83]

Answer:

length = 2x = 2(9) = 18 yds

Step-by-step explanation:

Let width = x

Let length = 2x

Area = 162 yd2

 

length × width = Area

 

2x(x) = 162

2x2 = 162

 

Divide by 2 on both sides of equation.

 

x2 = 81

 

Square-root both sides of equation to undo the exponent.

 

x = √(81)

x = 9

 

Substitute this x value into the initial variables.

 

width = x = 9 yds

length = 2x = 2(9) = 18 yds

6 0
3 years ago
The GCF (Greatest Common Factor) of 45 and 75. Show your work too. Thanks for your help!
Studentka2010 [4]
45=3 \cdot 3 \cdot 5 \\
75=3 \cdot 5 \cdot 5

The GCF is 3\cdot 5 =15.
4 0
4 years ago
Read 2 more answers
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