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svetoff [14.1K]
3 years ago
10

Someone anybody please help

Mathematics
1 answer:
babymother [125]3 years ago
3 0
This is a system of equations problem that can be solved using one of three methods: <span>graphing, substitution, or <span>elimination. I'll be using substitution.

In substitution:
1) S</span></span><span>olve one equation for either variable. I'll use the first equation because its easier to solve for one of the variables. I'll be solving for y because that will allow us to solve for the value of x faster.
</span>x+y=60
y=60-x

2) Substitute what you get into the other equation:
20x + 5y = 600
20x + 5(60-x) = 600

3) Solve your new equation in step 2 for the variable, x.
20x + 5(60-x) = 600
20x + 300-5x = 600
15x + 300 = 600
15x = 300 
x=20

There are D) 20 $20 bills in her drawer. 

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Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


6 0
3 years ago
Find the radical equivalent of 27^2/3
Leno4ka [110]

Answer:

Step-by-step explanation:

Rewrite this expression as   (27^(1/3) )².  this is equivalent to:

( ∛27 )² or (∛27)(∛27).

If you wish to evaluate this expression, it is ( 3 )( 3 ) = 9.

6 0
3 years ago
Read 2 more answers
What is the average speed that robin mus drive to reach her friend's house 170 miles away in 2 1/2 hr
Tamiku [17]

68 miles / hour

Average speed = distance / time

distance = 170 and time = 5/2 ( as an improper fraction)

speed = 170 ÷ \frac{5}{2} = 170 × \frac{2}{5} = \frac{340}{5} = 68

4 0
3 years ago
Read 2 more answers
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. F
laila [671]

Answer:

For blue its 3/12 = 1/4 = 25%

For red it's 6/12= 1/2= 50%

For green 2/12= 1/6= 17%

For black 1/12= 8%

Step-by-step explanation:

All you have to do is add up all the marbles 3 + 6 + 2 + 1 = 12 and then you put the number of marbles for each color and divide it by 12 which gives you those percentages. I don't know if you wanted the answers in percentages or fractions so I gave you both . Good luck!!

4 0
3 years ago
the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?
max2010maxim [7]

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

  8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

:)

8 0
4 years ago
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