James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.

(x-4)(x-4) should fit in the grid

9514 1404 393

Answer:

  x = -15

Step-by-step explanation:

It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.

  10 = LK = x+25

Subtracting 25 from the equation, we have ...

  -15 = x

(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)

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Alternate (more sensible) interpretation

If the bottom line is intended to represent LJ, then we have ...

  10 +(2x+27) = (x +25) . . . . LK +KJ = LJ

  x +37 = 25 . . . . subtract x

  x = -12 . . . . . . .  subtract 37

With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.

Answer:

y = -.3x + 1.5

Step-by-step explanation:

See attached Screenshot using Desmos to write equation.

Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

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