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romanna [79]
3 years ago
14

A 1400 sq ft house is advertised for sale at a price of $125,000. What is the cost per square foot?

Mathematics
2 answers:
Alja [10]3 years ago
8 0
The cost is roughly $89 per square foot.

12500÷1400=89.28571429
mash [69]3 years ago
5 0
$89 per square foot, pretty simple all you do is just divide 125,00 by 1400.
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One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
Alekssandra [29.7K]

Answer: a = 3∛2

<u>Step-by-step explanation:</u>

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

5 0
3 years ago
Where is a major league ballpark in which the distance from home plate to the center-field fence and the height of the center fi
jonny [76]
Given:

A height of 2 feet above the ground and angle of elevation of 86 degrees. 

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is

2/sin 4 = x / sin 86

solve for x

x = 28.60 feet
  <span />
8 0
3 years ago
What is 1/5 times 5/6 use a fraction modelto to help you solve.
lara [203]

Answer:

\frac{1}{6}

Step-by-step explanation:

4 0
2 years ago
What is the linear function equation represented by the graph?
SVETLANKA909090 [29]

Answer:

y=\frac{1}{3}x -4

Step-by-step explanation:

To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.

\frac{-3--4}{3-0}=\frac{-3+4}{3} =\frac{1}{3}

Input 1/3 and b=-4 into y=mx+b.

y=\frac{1}{3}x -4

4 0
3 years ago
A line passes through the points (-3, 5) and (2, 3). What is the slope of this line
vfiekz [6]

Answer:

slope is -2/5

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-5/2-(-3))

m=-2/2+3

m=-2/5

8 0
3 years ago
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