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Mkey [24]
3 years ago
9

BUILDING PLANS In a scale drawing of a school's floor plan, 6 inches represents 100 feet If the

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

10.5

Step-by-step explanation:

You just divide 175/100, and then multiply it by 6 to get 10.5

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Mr and Mrs Carlton are taking John and Mrs carltons parents kn a 3 day colorado ski trip. They will travel 1,000 miles in Me. Ca
Rashid [163]

Answer:

33.33 gallons

Step-by-step explanation:

1000 miles divided by 30 miles per gallon.

5 0
3 years ago
Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5​
stellarik [79]

Answer:

The line passes through (4, -7) and (5, -10).

Step-by-step explanation:

When x = 4, y = 5 - 3(4), or 5 - 12, or -7.  Thus the point (4, -7) lies on the graph.  Similarly y = 5 - 3(5) = -10 when x  = 5.  Thus, the line also goes through (5, -10).  Plot these two points and draw a line through them.  Doing this will result in the desired graph.

6 0
2 years ago
The area of a rectangle is expressed as x4 - 9y2. What are the possible dimensions of the rectangle?
AnnyKZ [126]

This is a stupid question.  The teacher who asked this needs to go back to school.

A = x⁴ - 9y²

That's going to be a number.  As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L.   So the correct answer is the dimensions are L by  (x⁴ - 9y²)/L.

They don't want the correct answer.  They want you to factor this expression.  We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.

We use the difference of two squares, a²-b² = (a+b)(a-b)

A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)

Answer: x²+3y  by  x²-3y

5 0
3 years ago
When Debbie babysits she charges 5$ to go to the house plus 8$ for every hour she is the true expression 5+8h gives the amount s
VladimirAG [237]

Answer:45$


Step-by-step explanation:5 + 8(5)

5 + 40= 45


7 0
2 years ago
A sample of Iron-59 contains 50 mg. One hundred days later, the sample contains 10.75 mg. What is the half-life of iron-59, in d
exis [7]

Answer:

t_{1/2}=45.09 d    

Step-by-step explanation:

We can use the decay equation:

M=M_{0}e^{-\lambda t}

  • M(0) is the initial mass
  • M is the mass after t (1000 days) time
  • λ is the decay constant

But:

\lambda = ln(2)/t_{1/2}

  • t(1/2) is the half-life.

So, we can rewrite the initial equation:

M=M_{0}e^{-\frac{ln(2)}{t_{1/2}}t}

Now, we just need to solve it for t(1/2):

ln(\frac{M}{M_{0}})=-\frac{ln(2)}{t_{1/2}}t

t_{1/2}=-\frac{ln(2)}{ln(\frac{M}{M_{0}})}t

t_{1/2}=-\frac{ln(2)}{ln(\frac{10.75}{50})}100                

t_{1/2}=45.09 d    

I hope it helps you!

5 0
3 years ago
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