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Mathematics

1 answer:

Diano4ka-milaya [45]4 years ago

6 0

First part:

65 cats divided by the ratio of 5 = 13.

13 x ratio of 7 dogs = 91 dogs are at the show.

Second part:

65 cats + 91 dogs = 156 pets are at the show.

Third part: I think the ratio is 7:12. I found the lowest common multiple, which is 13.

91 dogs divided by 13 is 7.

156 pets overall divided by 13 is 12.

Thus, the answer of 7:12.

Hope this helps! Make sure you show your work, for example the addition, multiplication, and division parts of it. :) It shouldn't be too hard, unless you want me to do that as well.

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2x + 8 - 3x = 3 Solve for x and Show All work

Marianna [84]

First, combine the like terms:

-x+8=3

Then, isolate x:

-x=-5

Then, divide by -1:

x=5

6 0

3 years ago

Rate of change y=5x+10

frozen [14]

Answer:

Step-by-step explanation:

The equation $y=5x+10$ is given in slope-intercept form. Slope-intercept form is a way of writing the equation of a line in the format $y=mx+b$ , such that the coefficient of the parameter (x) is the slope, and constant (b) is the y-intercept. What that essentially means is,

$y = mx + b\\\\m=slope\\b = y-intercept.$

The slope of a line is its rate of change, and the y-intercept is where the graph of the line intersects the y-axis. One can apply this knowledge here by saying that, the equation $y=5x+10$ is given in the slope-intercept form, and the coefficient ( $m$ ) equals ( $5$ ), therefore the slope is ( $5$ ).