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siniylev [52]
3 years ago
14

Choose the answer. 3. (1 pt) Which is an example of the distributive property? A. 9 • (t + 5) = 9t + 45 B. 9 • (t + 5) = (t + 5)

• 9 C. 9 • (t + 5) = (9 • t) + 5 D. 9 • (t + 5) = 9t + 5
Mathematics
2 answers:
saw5 [17]3 years ago
5 0
The answer is A. this is because your are multiplying by 9 throughout
Ronch [10]3 years ago
5 0

For this case, we have:

The generic definition of the distributive property is:

a (b + c) = ab + ac\\

Therefore, the option that fits the definition is given by:

9 (t + 5) = 9t + 45

where the property is verified.

Thus, the correct option is A.

Answer:

Option A

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Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )
Naya [18.7K]

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

5 0
3 years ago
A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far wil
Vikki [24]

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = \frac{distance}{time}

Given that: distance = 2 1/3 miles = \frac{7}{3} miles, time = 3 1/2 minutes = \frac{7}{2} minutes.

Then;

speed = \frac{7}{3} ÷ \frac{7}{2}

          = \frac{7}{3} x \frac{2}{7}

          = \frac{2}{3}

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

              = \frac{2}{3} x 24

              = 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

              = \frac{2}{3} x 60

              = 40

distance traveled is 40 miles.

5 0
3 years ago
Can someone please help me and explain
julia-pushkina [17]

Answer:  (x-2) inches.

The question asks for length in square inches.  There is no such thing.  It should read in inches.  Since it is a square frame, we can take the square root of (x^2-4x+4), which is (x-4).  This is in incnes

Step-by-step explanation:

(x-4)*(x-4) = x^2-4x+4

4 0
3 years ago
You want to pick two winning raffle tickets out of a hat and you are given two chances. Any blue
Fittoniya [83]

Answer:

20% chance

Step-by-step explanation:

20 is the whole

5 times 20 is 100

5% = 1 ticket

5% times 4 is 20%

7 0
3 years ago
A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of
djverab [1.8K]

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

7 0
3 years ago
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