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kow [346]
3 years ago
6

write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the an

swer.
Mathematics
2 answers:
dmitriy555 [2]3 years ago
5 0

Answer:

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers

<h3>here</h3>

the other number = x + 9

Let the number be x. 

Sum of two numbers = 25

According to question, x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x = 25 - 9

⇒ 2x = 16

⇒ 2x/2 = 16/2

⇒ x = 8

Therefore, x + 9 = 8 + 9 = 17

Therefore, the two numbers are 8 and 17.

ivann1987 [24]3 years ago
5 0

Fritz wants to get a job to save up money for college, he has two options:

Mr. Smith's Bakery or Samantha's  Ice Cream Shop

Mr. Smith's Bakery is close to Fritz's house so he can walk to it, it pays $8.00 per hour.  Samantha's  Ice Cream Shop is a bit farther away so Fritz has to pay $4 for bus fare every day, the pay is $10.00 per hour.

How long would Fritz have to work at Samantha's Ice Cream Shop to get the same amount at Mr. Smith's Bakery?

In this system, x is the number of hours worked and y is the total amount earned.

Bakery: y = 8x

Ice Cream: y = 10x-4

Solve for x using substitution

8x=10x-4

2x=4

x=2,  This means that it will take 2 hours of work to get the same amount of pay.

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List the first 5 terms of the sequence -3n -2.<br>​
katrin2010 [14]

Answer:

-5,-8,-11,-14,-17

Step-by-step explanation:

-3n -2

n=1   -3(1) -2 = -3-2 = -5

n=2   -3(2) -2 = -6-2 = -8

n=3   -3(3) -2 = -9-2 = -11

n=4   -3(4) -2 = -12-2 = -14

n=5   -3(5) -2 = -15-2 = -17

7 0
3 years ago
Read 2 more answers
Solve the system of equations by elimination <br> 3x+4y=31<br> 2x-4y=-6
ANEK [815]
3x + 4y = 31
2x - 4y = -6

*The +4 and -4 in the center of the equation cancel out because 4-4 = 0*

3x = 31
2x = -6
------------

*add like terms*

3x + 2x = 5x

31 - 6 = 25

So now you should have this written on your paper ... > 5x = 25

*Divide by 5 on each side*

5x = 25
_      _
5      5

x = 5
5 0
2 years ago
Read 2 more answers
_______square feet? I need the square feet to​
Daniel [21]

Answer:

60 ft²

Step-by-step explanation:

The reason being that you take the height of 8 and multiply it by the width of 15. 8×15=120 Then since a triangle is half of a square you would halve it. 120÷2=60 Which would then give you your answer.

5 0
2 years ago
Again. Did I solve the Matrices correctly. By the way it's multiplying matrices.
liberstina [14]
I just used my Ti 84

it is correct except for 3rd number

should be
-3
-6
-16
8
3 0
3 years ago
Read 2 more answers
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
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