In which town does the total number have meaning

Mathematics

1 answer:

olganol [36]3 years ago

5 0

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a fence is 702 m long. it is cut into three parts. two parts are the same length and the third is 27 m longer than either of the

AURORKA [14]

Answer:

225, 225 and 252 meters

Step-by-step explanation:

Let length of the 2 equal parts be each x m, then:-

2x + x + 27 = 702

3x = 702 - 27 = 675

x = 675/3

x = 225

So lengths of each parts are 225, 225, 252

4 0

3 years ago

Solve and graph the compound inequalities. (You don’t need to graph it on a line plot but if you could that would be great!)

lidiya [134]

Part A

$-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x < 15\\\\-10/5 < 5x/5 < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x < 3\\\\$

To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.

See figure 1 below.

===============================================

Part B

Solve the first inequality to get

$3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\$

Now solve the second inequality

$2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\$

We have $x < -3 \ \text{ or } \ x \ge 1$

The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.

See figure 2 below.