The tallest snowman everrecorded---really a snow woman named Olympia—was built by residents of Bethel,
Maine, and surrounding towns. Her body and head together made up her total
record height of 122ft. The body was 2ft longer than 14 times the height of the
head. What were the separate heights of Olympia’s head and body?

Answers

Answer 1
Answer: B=14H+2
B+H=122 so 14H+2+H=122 or 15H=120 or H=8 ft.
The head was 8 ft and the body 114 ft (do the difference 122-8).

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What is the solution of the equation? 3 = b + 3A. 0 B. 1 C. 9 D. 6
What is the final amount if 1885 is increased by 5% followed by a further 18% increase
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Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

-4t
4t
-10t
10t

Answers

The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)]  using PEMDAS rule is -4t.

Thus, option 1 is correct.

A method of reducing an expression, equation, or problem to a more concise or straightforward form is referred to as simplification.

Initially the small bracket then curly brackets and at last large brackets are required to solve according to the laws of simplification using PEMDAS rules.

The given expression can be simplified as:

5t + (t - 3) - [(7t + 5) - (8 - 3t)]

5t+t-3-[7t+5-8+3t]

5t+t -3-7t-5+8-3t

-4t

The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)] is -4t.

Thus, option 1 is correct.

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 5t + (t - 3) - [(7t + 5) - (8 - 3t)] 
=5t + (t - 3) - [(7t + 5) - (-3t + 8)] 
=5t + (t - 3) - [7t + 5 + 3t - 8] 
=5t + (t - 3) - [7t + 3t + 5 - 8] 
=5t + (t - 3) - [10t - 3] 
=5t + t - 3 - 10t + 3 
=5t + t - 10t - 3 + 3 
=-4t

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4represent the third integer.
Which equation can be used to find the first integer?
0 3x + 6 = 72
0 3х + 72 = 2х +6
03x = 2х +6
2x + 64 = 72

Answers

Answer:

3x + 6 = 72

Step-by-step explanation:

x + x + 2 + x + 4 = 72

Lesson 6: geometry A unit 3: reasoning and proof

Answers

Answer:

1. One way to show that a statement is not a good definition is to find a counterexample. A counterexample refers to an exception to the rule, if we deduct that exception is true, then the proposition is completely false. In this case, we have to find an exception to the definition, if the exception is true, then the definition is not true.

2. The option that show a true conditional is the fourth: If it's raining, then the humidity level is 100%. This shows the correct logical conditional, other options are not logical. In this case, the hypothesis is "if it's raining", and the conclusion is "the humidity is 100%". This is the right order, because humidity derive from raining, not the opposite.

The true conditional with a correctly identified hypothesis is:

If it is raining, then the humidity level is 100%.

Hypothesis: It is raining.

Conclusion: The humidity level is 100%.

1. One way to show that a statement isn't a good description is to find a counterexample.

A counterexample refers to an exception to the rule, if we abate that exception is true, also the proposition is fully false. In this case, we've to find an exception to the description, if the exception is true, also the description isn't true.

2. The option that show a true tentative is the fourth If it's raining, also the moisture position is 100.

This shows the correct logical tentative, other options aren't logical. In this case, the thesis is" if it's raining", and the conclusion is" the moisture is 100". This is the right order, because moisture decide from raining, not the contrary.

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Turn 2 1/2 into a percentage

Answers

Answer:

250%

Step-by-step explanation:

(2 1/2) × 100%

= 250%

= 2.5

Answer:

it is 250%.

Step-by-step explanation:

Good that the wrong answer was deleted

Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?

Answers

Givendecimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

What are rational numbers?

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminatingdecimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

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Answer:

Yes they are rational numbers

Step-by-step explanation:

What value of x will make 4x-1=4x+7 true ?

Answers

4x-1=4x+7 

-1=7    \ Cancel \ 4x \ on \ both\ sides. 

\ No \ Solution