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Oxana [17]
2 years ago
7

The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units

Mathematics
1 answer:
zavuch27 [327]2 years ago
5 0

Answer:

Idont now the answer

Just eodjeibrndldidjrorjf

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The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio
8090 [49]

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

8,861 : 9,495

Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

6 0
2 years ago
Read 2 more answers
The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Substituting the value of y in equation 1 we get;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
Read 2 more answers
Mike earns $6.50 per hour plus 4% of his sales enter an equation for mikes total earnings, e, when he works x hours and has a to
Cerrena [4.2K]
First identify what each variable means. since X is the amount of hours he works, and he makes $6.50 an hour, you know you need to multiply those two numbers together creating the 6.50x. You also know Y is his total sales, and he earns 4% of Y. To find 4% of Y you need to turn the percent into a decimal, and to do this you move the decimal two spaces to the left. Since 4 is a whole number, the decimal is after the 4 so you get .04 as your decimal. Then youd multiply .04 by Y getting .04y. Lastly you add 6.50x + .04y to get E, mikes total earnings. So your final equation is

6.50x + .04y = e

Hope this all makes sense 

3 0
2 years ago
Read 2 more answers
What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction? y = –2 y = –1 y = 0 y = 1
miv72 [106K]

Answer:

  y = -2

Step-by-step explanation:

Any asymptotes of a rational function will be described by the quotient of the numerator and denominator (excluding any remainder).

  f(x)=\dfrac{-2x}{x+1}=-2+\dfrac{2}{x+1}

The horizontal asymptote is ...

  y = -2

8 0
2 years ago
Read 2 more answers
If sin(2x + 7) = cos(4x - 7)º, what is the value of x?​
ella [17]

Answer:

x = 15°

Step-by-step explanation:

<u>We are given;</u>

sin(2x + 7) = cos(4x - 7)

We are required to solve for the value of x

  • We need to know that for complementary angles;

Sin θ = Cos (90-θ) where, θ  and 90-θ are complementary angles.

  • Complementary angles are angles that add to 90°
  • Therefore;

(2x +7) + (4x - 7) = 90

 6x = 90

   x = 15°

Therefore, the value of x is 15°

6 0
2 years ago
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