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professor190 [17]
2 years ago
10

Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 20 options: A) Distributive pr

operty, subtraction property of equality, and multiplication property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and division property of equality D) Addition property of equality and multiplication property of equality
Mathematics
1 answer:
Luda [366]2 years ago
5 0

Answer:

C) Addition property of equality and division property of equality

Step-by-step explanation:

To find the answer, let's first solve the equation for x...

3x-6=12

Add 6 to both sides (Addition property of equality)

3x=6

Divide both sides by 3 (Division property of equality)

x=2

We used both the addition property of equality and the division property of equality therefore the answer is C

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A die was rolled 75 times with the following resulted: It landed on one-18 times, two-10 times, four-11 times, five-14 times, an
RoseWind [281]

Answer: 15 Times

Step-by-step explanation: It's 15 Times because if you add all of the other rolled times together you'll get 60 and 75-60=15.

7 0
2 years ago
The park is 6 mi due east of Freeport High School, and the library is 4 mi due west of the school. The police department is loca
AURORKA [14]
The answer is 6.7 mi.

Since the right triangle is present, to calculate this we will use the Pythagorean theorem. According to the Pythagorean theorem, the square of the hypotenuse (c²) is equal to the sum of the squares of two other sides (a² + b²)<span>:
c</span>² = a² + b²<span>

First, we need to express symbols:
b - side of the right triangle (distance </span><span>between police department and Freeport High School).
a1 - </span>side of the first right triangle (distance between library and Freeport High School).<span>
a2 - </span><span>side of the second right triangle (distance between park and Freeport High School).
c1 - hypotenuse of the first triangle (distance between </span>police<span> department and library).
c2 - </span>hypotenuse of the second triangle (distance between police<span> department and park).

Therefore, we need to calculate c2.
It is given:
a2 = 6 mi
a1 = 4 mi
c1 = 5 mi

First, let's calculate b, which is a common side for two triangles:
</span>c1<span>² = a1² + b²
</span>b² = c1<span>² - a1²
</span>b² = 5<span>² - 4²
</span>b² = 25<span> - 16
</span>b² = 9
√b² = √9
b = 3.

We know b, now we can calculate c2:
c2<span>² = a2² + b²
</span>c2<span>² = 6² + 3²
</span>c2<span>² = 36 + 9
</span>c2<span>² = 45
</span>√c2<span>² = </span>√45
c2 = 6.7

The distance between police department and park is 6.7 miles.

3 0
3 years ago
Simplify. 5^-1(3^-2)
wariber [46]
The answer is zero hope that helps
4 0
2 years ago
Read 2 more answers
Express 2/8 as a decimal
Bingel [31]

hello good evening, so you what to know what is 2/8 as a decimal,

so firstly we divide now 2 by 8 what we write down as 2/8 and we get 0.25

so the answer of 2/8 as a decimal would equal 0.25.

hope that helps :) have a wonderful day!

3 0
2 years ago
Read 2 more answers
Alligators captured in Florida are found to have a mean length of 2 meters and a standard deviation of 0.35 meters. The lengths
STALIN [3.7K]

Answer:

The correct option is (d). 2.15 meters.

Step-by-step explanation:

According to the given scenario, the approximate length of an alligator at the 67th percentile is as follows:

The length of an alligator is X \sim N(2,0.35) .

Let us assume the P_{67} be the 67th percentile

P(X

\frac{P_{67 - 2 }}{0.35} = 0.44\\\\P_{67} = 2.154

Hence, the correct option is (d). 2.15 meters

5 0
3 years ago
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