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MA_775_DIABLO [31]
3 years ago
12

Substiution method: y + 9 = 1/5x and

Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0
Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
<span>                                                             4x -5(1/5x-9)= -15 x
                                                             4x + x+45=-15x
                                                             5x +45 = -15x                                                                                                            45=-20x 
                                                              x=-45/20
                                                              x= -9/4
 
 y+9 =1/5x
   y      = 1/5(-9/4)-9
      y     = -189/20
  (-</span>9/4,-189/20)
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A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower
Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be x.

And the number of large mower be  y.

So, total number of mowers are:

x+y=30

x=30-y\ \ \ ....(1)

Now, the total sales of mowers are:

249.99(x)+329.99(y)=8379.70

Substituting the value of x from equation (1) we get:

249.99(30-y)+329.99y=8379.70

7499.7-249.99y+329.99y=8379.70

7499.7+80y=8379.70

<em>Subtracting both sides by 7499.7 we get:</em>

80y=880

<em>Dividing both sides by 80 we get:</em>

y=11.

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of y  in equation ( 1 ):

x=30-y\\x=30-11\\x=19.

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0
3 years ago
What is the solution to the system of equations below? y = -3X+5 and y=4x-2 (1, 2) (1, –18) (–1, 8) (–1, –6)
Maurinko [17]

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

y = 4x - 2 → (2)

Substitute y = 4x - 2 into (1)

4x - 2 = - 3x + 5 ( add 3x to both sides )

7x - 2 = 5 ( add 2 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = (4 × 1) - 2 = 4 - 2 = 2

Solution is (1, 2 )

4 0
3 years ago
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Solve for m and n<br> I been stuck on this question for an hour
Crazy boy [7]

Answer:

m = 10 , n = 5\sqrt{2}

Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = \frac{1}{\sqrt{2} } and tan45° = 1 , then

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tan45° = \frac{opposite}{adjacent} = \frac{n}{5\sqrt{2} } = 1 , then

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3 0
2 years ago
Which statement describes the definition of a function?
Tom [10]

Answer:

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Step-by-step explanation:

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2 years ago
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2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Talja [164]

Answer:

There are 171 members in the club

Number of boys = 38

Number of girls = 133

Step-by-step explanation:

Let

x = total members of the club

Boys = 2/9x

if there are 95 more girls than boys

Girls = 2/9x + 95

how many girls are there in club?

Total members in the club = boys + girls

x = 2/9x + 2/9x + 95

x = 2+2/9x + 95

x = 4/9x + 95

x - 4/9x = 95

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5/9x = 95

Divide both sides by 5/9

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boys = 2/9x

= 2/9 * 171

= 342 / 9

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Girls = 2/9x + 95

= 38 + 95

= 133

Total = 38 + 133

= 171

There are 171 members in the club

Number of boys = 38

Number of girls = 133

5 0
3 years ago
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