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belka [17]
3 years ago
8

A library expansion begun in 2002, was expected to cost $107 million. By 2006 library officials estimated the cost would be $34

million over budget. By what percent did the actual cost exceed the initial estimate?
Mathematics
1 answer:
Alla [95]3 years ago
5 0
This problem is quite easy if you didregard the years. Percent increase is known as
(Final-initial)/(Final)
In this case final would be 107 million +34 million=141 million. Initial would be 107 million.

(142-107)/142=37/142 which is around 26%.
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Which of the following statements is TRUE about the relationship between the numerical values?
Gwar [14]

Answer:

D is the answer

Step-by-step explanation:

-15 Is the same as 15 its just negative but they have the same distance.

7 0
3 years ago
A train travels from Washington DC to new york(225 miles). The train departs at 4:55 PM and arrives in New York at 7:55 PM. What
mylen [45]

Answer:

The average speed is:

\var{v}=75\: miles/h

Step-by-step explanation:

The average speed equation is given by:

\var{v}=\frac{\Delta x}{\Delta t}

Were:

  • Δx is the displacement (225 miles)
  • Δt is the change in time (3 hours)

Then we have:

\var{v}=\frac{225}{3}

\var{v}=75\: miles/h

I hope it helps you!

4 0
3 years ago
A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minute
xxMikexx [17]
Let x = the minutes that Tom has remaining before exceeding 500 minutes.

Because he has already used 230 minutes, the total minutes he has is
x + 230
We want this total to be less than or equal to 500 minutes.
Therefore
x + 230 ≤ 500

Answer:  x + 230 ≤ 500

3 0
3 years ago
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What is 18.390 centimeters converted to millimeters
bogdanovich [222]
183.9 millimeters is the answer
7 0
3 years ago
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The sum of two numbers is 86, and their difference is 20. Find the two numbers
sp2606 [1]

Answer:

x = 53, y = 33

Step-by-step explanation:

Let one of the numbers = x, & the other = y. Set the equations:

x + y = 86

x - y = 20

This is a system of equation, in which the variables must be true for both of them.

First, choose a equation to use. In this case, I will choose x + y = 86. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract y from both sides.

x + y = 86

x + y (-y) = 86 (-y)

x = 86 - y

Now, note the other equation: x - y = 20. You now know that x = 86 - y. Plug in 86 - y for x in the "other" equation:

x - y = 20

(86 - y) - y = 20

Simplify. Combine like terms:

86 - y - y = 20

86 - 2y = 20

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction):

First, subtract 86 from both sides:

86 (-86) - 2y = 20 (-86)

-2y = 20 - 86

-2y = -66

Isolate the variable, y. Divide -2 from both sides:

(-2y)/-2 = (-66)/-2

<em>Note: Before we go any further, I want to remind you of division & multiplication rules. There are 3 kinds, when you are multiplying two positive numbers (+/+), when you are multiplying a positive number with a negative number (+/-), and when you are multiplying a two negative numbers (-/-)</em>. <em>Note the "table" in the bottom</em>:

________________________________________________________

(+/+) : Two positive numbers multiplied/divided with each other will always result in a positive answer:

Examples:

10/5 = 2

20/10 = 2

(+/-) : One positive number and one negative number multiplied/divided with each other will always result in a negative answer:

Examples:

20 x -5 = -100

50 x -3 = -150

(-/-) : Two negative numbers multiplied/divided with each other will always result in a positive answer:

Examples:

-30 x -5 = 150

-200/-10 = 20

________________________________________________________

Now, solve the equation:

(-2y)/-2 = (-66)/-2

y = -66/-2

Divide.

y = 33

One of your numbers (y) is 33. Plug in 33 for y in one of the equations:

x + y = 86

x + (33) = 86

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 33 from both sides.

x + 33 (-33) = 86 (-33)

x = 86 - 33

x = 53

Your answers: x = 53, y = 33.

Check: Plug in 53 for x, 33 for y in the equations:

<u>x + y = 86:</u>

(53) + (33) = 86

86 = 86 (True)

<u>x - y = 20</u>:

(53) - (33) = 20

20 = 20 (True)

Your answers: x = 53, y = 33

~

<u />

7 0
3 years ago
Read 2 more answers
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