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QveST [7]
2 years ago
14

The total area of town C and town D is 120,000 square miles. The area of town C is 30,000 square miles more than that of town D.

Find the area land of each town.
Mathematics
1 answer:
UNO [17]2 years ago
4 0

Answer:

Find the area land of each town.

Let x be the area of town D

then, x+ 30000 is the area of town C

we know that,

the total area of town C and town D is 120,000 square miles.

x+x+30000=120000

2x= 90000

x=45000

Area of town D= 45000 square miles

Area of town C= 45000+30000= 75000 square miles.

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Given that a=3, b=-2 and c= -4, evaluate the following expression. <br> 2c-a/3c+b - 5a+4c/c-a
andrew-mc [135]

Given:

Consider the given expression is:

\dfrac{2c-a}{3c+b}-\dfrac{5a+4c}{c-a}

To find:

The value of the given expression for a=3, b=-2, c=-4.

Solution:

We have,

\dfrac{2c-a}{3c+b}-\dfrac{5a+4c}{c-a}

Substituting a=3, b=-2, c=-4, we get

\dfrac{2(-4)-(3)}{3(-4)+(-2)}-\dfrac{5(3)+4(-4)}{(-4)-(3)}

=\dfrac{-8-3}{-12-2}-\dfrac{15-16}{-4-3}

=\dfrac{-11}{-14}-\dfrac{-1}{-7}

=\dfrac{11}{14}-\dfrac{1}{7}

Taking LCM, we get

=\dfrac{11-2}{14}

=\dfrac{9}{14}

Therefore, the value of the given expression for a=3, b=-2, c=-4 is \dfrac{9}{14}.

5 0
3 years ago
Please help me I’ve been stuck for awhile
Paul [167]

Hey there! I'm happy to help you out!

Let's think of our original price ($P) as 100%. This is also the same thing as 1 because 100% is one whole thing.

Now, we see that he got a 15% off discount. Now, we just subtract 15% from 100% to see what percent he actually payed.

100%-15%=85%

This means that $R is 85% of $P (100%).

Answer A is not correct because 0.85% is less than 1%, which is not 85%.

Answer B is not correct either because 0.15% is also less than 1%.

Answer C is correct because $R is 85% of the original cost.

I hope that this helps! Have a wonderful day!

7 0
3 years ago
Which algebraic expression is a polynomial with a degree of 2?
uysha [10]
Given the question "<span>Which algebraic expression is a polynomial with a degree of 2?" and the options:
1). 4x^3-2x
2). 10x^2- \sqrt{x}
3). 8x^3+ \frac{5}{x} + 3
4). 6x^2-6x + 5

A polynomial </span><span>is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

</span><span>The degree of a polynomial is the highest exponent of the terms of the polynomial.

For option 1: </span><span>It contains no fractional or negative exponent, hence it is a polynomial. But the highest exponent of the terms is 3, hence it is not of degree 2.

For opton 2: It contains a fractional exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e. 10x^2- \sqrt{x} =10x^2- x^{ \frac{1}{2} }

For option 3: </span><span>It contains a negative exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e. 8x^3+ \frac{5}{x} + 3=8x^3+5x^{-1}+3

For option 4: It contains no fractional or negative exponent, hence it is a polynomial. Also, the highest exponent of the terms is 2, hence it is of degree 2.
</span>
Therefore, <span>6x^2-6x + 5 s a polynomial with a degree of 2. [option 4]</span>
6 0
3 years ago
Read 2 more answers
What is the probability that Sophie draws a heart and then rolls either a 4 or 6
jeka57 [31]

Answer:

Step-by-step explanation:

1/12

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3 years ago
12-5[2(8+5)-15]+2(7-10)³<br>show work!​
san4es73 [151]

Answer: -97

Step-by-step explanation:

3 0
2 years ago
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