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olasank [31]
4 years ago
5

Use substitution to show that 9+ 6(10-7x) is equivalent to 69-42x.

Mathematics
2 answers:
larisa86 [58]4 years ago
6 0

Answer: 9 + 6(10- 7x) = 69 - 42x

Step-by-step explanation:

9 + 6(10- 7x)

we open the bracket first

9 + 60 - 42x

69 - 42x

Therefore the two equations are equivalent

we can also check by substituting a number, lets say x = 1

9 + 6[10 - 7(1)] = 69 - 42(1)

9 + 18 = 69 - 42

27 = 27

OverLord2011 [107]4 years ago
5 0
9 + 60 -42x
9+60 = 69
= 69- 42x
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For the equations given below, which statement is true? -2x=14. 6x=-42​
Dmitriy789 [7]

Answer:

-2x=14

x = -7

6x = -42

x = -7

7 0
3 years ago
The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less
sergij07 [2.7K]

Answer: Raul is 15

Step-by-step explanation:

Start of the great depression: 1929

The first presidential election of Richard Nixon: 1969

Difference: 40 years + 6 years= 46 years

46 years/3= 15.3

8 0
3 years ago
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The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that
ICE Princess25 [194]

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

4 0
3 years ago
What is the slope of the line through (2,5) and (-1,2)?
Luden [163]

Answer:

The slope of the line is m = 1

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m = y2-y1 / x2-x1

m = 2 - 5 / -1 - 2

m = -3 / -3

m = 1

X1 is 2

Y1 is 5

X2 is -1

Y2 is 2

6 0
3 years ago
James deposited $575 into a bank account that earned 5.5% simple interest each year. If no money was deposited into or withdrawn
Basile [38]
The answer is $654.06.
5.5% of $575 is $31.63.  575 x 0.055 = 31.63
This means that in one year he earns $31.63. In two years it will be $63.25 (31.63 x 2 = 63.25)
Then in half a year it will be $15.81 (31.63/2 = 15.81)
Finally add 15.81 and 63.25 to get $79.06 which you then add to the initial $575 to get the total amount earned in 2 1/2 years which is $654.06.
6 0
3 years ago
Read 2 more answers
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