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3 Two-Step Inequality Word Problems 93 POINTS

horsena [70]

Problem 1: Joann can add 3 books or less.

The package weighs 9.5 ounces.

You can represent this in an inequality, where Joann wants the package to weigh less than or equal to 32 ounces:

$7.5b + 9.5 \leq 32$ , where B = the number of books she adds.

You can then simplify this equation:

$7.5b \leq 22.5$

Joann can add 3 books or less.

Problem 2: Kierra can get less than 12 questions wrong.

Kierra needs more than an 82 to make her goal.

You can represent this in an inequality, where Kierra can only get a certain amount of questions wrong:

$100 - 1.5q > 82$ , where Q = the questions Kierra gets wrong.

You can then simplify this equation:

$-1.5q > -18\\$

Kierra can get 12 questions wrong to get an 82, but needs LESS than 12 wrong to get above an 82.

Problem 3: Hunter must walk 11.7 miles per day or more to finish.

Hunter is hiking 52 miles over 4 days, and wants to make sure they can finish the hike after walking 28.6 in 2 days.

You can represent this in an inequality, where Hunter wants to walk the remainder of the hike in 2 days:

$28.6 + 2m > 52$ , where M = the number of miles Hunter walks per day.

You can then simplify this equation:

$2m \geq 23.4\\m \geq 11.7$

Hunter must walk 11.7 miles or more to finish the trail.

6 0

3 years ago

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Zigmanuir [339]

Answer:

Step-by-step explanation:

1). Since, two sides of the given triangle are equal in measure, triangle is an isosceles triangle.

2). By Pythagoras theorem,

(Hypotenuse)² = (leg 1)²+ (leg 2)²

(15.6)² = (14.4)² + (6)²

243.36 = 207.36 + 36

243.36 = 243.36

Therefore, given triangle is a right triangle.

3). Since, one angle is 123° which is greater than 90°, given triangle is an Obtuse triangle.

4). All interior angles and all sides of the triangle are equal in measure.

Therefore, given triangle is an equilateral triangle.

5). One angle of the triangle is a right angle.

Therefore, given triangle is a right triangle.

6). Since, all interior angles and sides of the given triangle are different in measure, it's a scalene triangle.

7). All angles and sides of the triangle are equal in measure,

Therefore, it's an equilateral triangle.

8). One angle of the triangle is measuring 106° which is greater than 90°.

Therefore, it's an obtuse angle.

6 0

3 years ago

The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphe

JulsSmile [24]

Remember that the formula for the surface area of a sphere is $SA=4 \pi r ^{2}$ . Substitute the given surface area to solve: $663,267=4 \pi r ^{2}$ . Divide by 4 on both sides: $165,816.75= \pi r ^{2}$ . Divide by pi on both sides: $52781.11= r ^{2}$ . Square root on both sides to find the radius: $229.741= r$