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Gennadij [26K]
3 years ago
8

Simplify: 5(6h – 1) – 5h A. h – 1 B. h – 5 C. 25h – 5 D. 35h – 5

Mathematics
2 answers:
sleet_krkn [62]3 years ago
5 0

5(6h - 1) - 5h    Distribute 5 into (6h - 1)

(5)6h - (5)1 - 5h

30h - 5 - 5h      Combine like terms (terms that have the same variable and power/exponent), which are 30h and -5h because they have the same variable "h" and power/exponent of 1

25h - 5    Your answer is C

pickupchik [31]3 years ago
4 0

Answer:

C. 25h – 5

Step-by-step explanation:

5(6h - 1) - 5h = 30h - 5 - 5h = 25h - 5

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Given: D is the midpoint of AB; E is the midpoint of AC.
Thepotemich [5.8K]

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

Slope, \, m =\dfrac{c - c}{a + b-b} = 0

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

Slope, \, m =\dfrac{0 - 0}{2a-0} = 0

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

5 0
3 years ago
Read 2 more answers
Dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success
hram777 [196]

The probability of a success on each roll of the coin that is filipped by Dion is 0.5.

<h3>What is the probability?</h3>

Probability is the likelihood that a stated event would occur. The odds the event occurs is 1 and the odds that the event does not happen is 0. If a coin is flipped, there is 50% chance of getting either a head or a tail.

To learn more about probability, please check: brainly.com/question/13234031

#SPJ4

4 0
1 year ago
Which of the following is the standard form of 36 / 24​
RSB [31]

Answer:

15 x 10^-1

Step-by-step explanation:

36÷24=1.5

In this case I'm considering 15 as the base of my standard form.

To make 15 a 1.5, you'll have to move from right to left one unit and on the number line moving from the right to left gives you a negative number of units moved

8 0
3 years ago
10. When a rubber ball is dropped from a height, h cm on to a flat concrete floor, it rebounds to 3 5 h cm a height of Given a r
Xelga [282]

Step-by-step explanation:

Let the height above which the ball is released be H

This problem can be tackled using geometric progression.

The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is

To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H

a=2H..........r=3/4

However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H

Therefore the total distance travel up to the Nth bounce is

For N=3 one obtains

D=3.625H

7 0
2 years ago
Find the value of 5.8 divided by 1.2
Katena32 [7]
It is easier to do if we get rid of the decimals, so lets multiply both numbers by 10:
5.8/1.2 = 58/12
and reduce the fraction:
= 29/6
then operate:
= 4.83
7 0
3 years ago
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