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jeka57 [31]
3 years ago
14

What is -7k-9=8k-129

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

k = 8

Step-by-step explanation:

-7k - 9 = 8k - 129

-7k - 8k = -129 + 9

-15k = -120

k = -120/-15

k = 8

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What is the value of the expression 5x − y when x = 3 and y = 1?<br> 14<br> 10<br> 7<br> 0
tester [92]
5x-y = 14            l|l|l|l|l|l
8 0
3 years ago
Read 2 more answers
Radius: 3.5 units, Center (0,3.5)
vlabodo [156]

Step-by-step explanation:

General equation of circle:

(x - a)² + (y - b)² = r².

Therefore we have x² + (y - 3.5)² = 12.25.

5 0
2 years ago
A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th
NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

A = a + (A \cap B)

In which a is the probability that he wins the first race but not the second and A \cap B is the probability that he wins both these races.

By the same logic, we have that:

B = b + (A \cap B)

The probability that he wins both races is 0.5.

This means that A \cap B = 0.5

The probability that he wins the second race is 0.6

This means that B = 0.6

B = b + (A \cap B)

0.6 = b + 0.5

b = 0.1

The probability that he wins the first race is 0.7.

This means that A = 0.6

A = a + (A \cap B)

0.7 = a + 0.5

a = 0.2

A) he wins at least one race.

This is

P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

P = a + b = 0.2 + 0.1 = 0.3

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

6 0
3 years ago
The length of a rectangle is 10 yards more than the width. If the perimeter is 68 yards, what are the length and width?
quester [9]

Divide the perimeter by 2, this will give you the sum of one length and one width.

68/2 = 34 yards

Now the length is  10 yards more, so subtract 10 from the 34 and divide by 2 again:

34 - 10 = 24

24 /2 = 12

The width is 12 yards.

The length is 12 + 10 = 22 yards.

5 0
3 years ago
Help needed pleaseee
ohaa [14]

Answer:

A

Step-by-step explanation:

Since we're dealing with perpendicular lines, we take the recipricol of the m value of the original equation.

So the slope we're dealing with is 1/2.

And the equation we have so far is

y = 1/2x + b

Now we solve for b by plugging in the point (4,2).

2 = 1/2(4) + b

2 = 2 + b

b = 0

So the final equation is

y = 1/2x

8 0
3 years ago
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