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Mademuasel [1]
3 years ago
10

Which situation can be represented by the equation 20x = 9x + 25? *

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0

Answer:

The answer is D: Max hasn't planted any but he says he can plant 20 flowers per hour. Reagan has planted 9 plants per hour in her mother's flower garden. Max says he will  finish planting the other 25.

Step-by-step explanation:

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Write the standard form of a line that passes through (1, 1) and (3, 4)
Sophie [7]

Answer:

3x - 2y = 1

Step-by-step explanation:

Step 1:   Find the slope

slope m = (y2 - y1)(/x2 - x1)

 m = (4 - 1)/(3 - 1) = 3/2

Step 1:  Use the formula y = mx + b to solve

This is slope-intercept form of a line.  We have a slope of 3/2, and a point (x, y), which is (1, 1).  Plug those values into the equation above and solve for b (the only variable we are missing

1 = (3/2)(1) + b

   1 = 3/2 + b  

          1 - 3/2 = b

             2/2 - 3/2 = b

                  -1/2 = b

Step 2: Rewrite the formula using the slope and the b value we just calculated

 y = (3/2)x - 1/2

Step 3:  Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.  

y = (3/2)x - 1/2

 -(3/2)x + y = -1/2     (subtract (3/2)x from both sides)

 

      -3x + 2y = -1       (multiply by 2 to get rid of the fraction on x)

           3x - 2y = 1     (multiply by -1 so a becomes positive)    

3 0
3 years ago
Perform the operation <br> 8/r^3 s^2 ÷ 6/rs^4
pentagon [3]

Answer:

4 s^2 / 3 r^2

Step-by-step explanation:

8 / r^3 s^2 / 6/ r s^4

          8             r s^4             4 s^2

=      ---------   *    -------    =      ----------

       r^3 s^2           6               3 r^2

4 0
3 years ago
Mrs.Flores’ rectangular garden has a length of 20 meters and width of 15 meters. Her neighbor, Mr.Sosa, has a similar garden in
natima [27]

180 m

Step-by-step explanation:

Information given:

  • length of Mrs. Flores' garden= 20 m
  • width of Mrs. Flores' garden = 15 m
  • Scale factor = 3

Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,

  • length of Mr. Sosa's garden= 3×20= 60 m
  • width of Mr. Sosa's garden= 3×15= 45 m

 Diagonal of a rectangle = √length²+width²

Let Diagonal = D,

D= √60²+45²

=√3600+2025

=√5625

=75 m

If Mr. Sosa cut his garden diagonally,

perimeter= length+width+diagonal

=60+45+75=180 m

7 0
3 years ago
Re-write the linear function in slope- intercept form -6x+ 9y=24
sukhopar [10]

Answer:

y=2/3x+8/3

Step-by-step explanation:

Here ya go!!

4 0
3 years ago
What is the justification for each step in the solution of the equation?
Luden [163]
The second one i think would be x > -6
5 0
3 years ago
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