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3 years ago

The Haynes family is building an addition to their house that includes a new

Mathematics

1 answer:

elixir [45]3 years ago

6 0

Answer:

Part A

$A_{t}=22(12+w)$

Applying Distributive property: $A_{t}=264+22w$

Part B

$A_{t}=660\ ft^2$

Step-by-step explanation:

 Attached is the model that belongs to this exercise (The model was missing)

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Part A

Notice that the dimensions of the new bathroom are:

$l=22\ ft\\w=12\ ft$

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

$A_{t}=22(12+w)$

Applying Distributive property:

$A_{t}=264+22w$

Part B

If the width of the bedroom is 18 feet, you need to substitute this value into the expression $A_{t}=264+22w$ in order to find the total square footage of the two rooms:

$A_{t}=264+22w\\\\A_{t}=660\ ft^2$

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Describe how equality and democracy represent traditional American values,

user100 [1]

Answer:

The United States was founded on "equality". Our Declaration of Independence was created to ensure the rights given to us as American citizens and state what must be upheld to protect these rights. Equality comes from a very valued form of Government in America called Democracy. Americans are given the right to freedom of speech, and this represents traditional American values.

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3 years ago

You and your friend play a game. You answer 80% of the questions correctly and your friend answers 0.60 of the questions correct

bezimeni [28]

Answer:

Step-by-step explanation:

Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.

Let x be the number of questions, solving by trial and error:

$if\ x=2\\x*0.8=1.6\\x*0.6=1.2\\\\if\ x=3\\x*0.8=2.4\\x*0.6=1.8\\\\if\ x=4\\x*0.8=3.2\\x*0.6=2.4\\\\if\ x=5\\x*0.8=4\\x*0.6=3\\\\$

Therefore, the minimum number of questions in the game is 5.

5 0

3 years ago

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

Given:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

Value of x:

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

$(x+5) \ln (2)=2 x \ln (13)$

Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

$x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

Thus, the value of x is $x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

6 0

3 years ago

Robin wants to find out the number of salamanders by a pond near her house. She catches 45 of them, puts a leg band on each sala

Verdich [7]

Given:
1st week: caught 45 salamanders and put leg bands on them
2nd week: caught 50 salamanders and 3 have leg bands

3/50 = 0.06 of the salamander population have leg bands.

45 / 0.06 = 750 total number of salamanders

45/750 = 0.06 or 6% 

The reasonable estimate of the number of salamanders by the pond is 750 salamanders.

8 0

3 years ago

Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer

Doss [256]

Answer:
-9(5x+2)

Step by step explanation:

3 0

3 years ago