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nadezda [96]
4 years ago
6

What is the slope of the line 6x + 8y = 12?

Mathematics
1 answer:
Margaret [11]4 years ago
7 0

Answer:

The slope is -3/4

Step-by-step explanation:

6x + 8y = 12

Write the equation in slope intercept form  y = mx+b where m is the slope

Subtract 6x from each side

6x-6x + 8y = -6x+12

8y = -6x+12

Divide each side by 8

8y/8 = -6x/8 +12/8

y = -3/4x +3/2

The slope is -3/4

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Roger is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even}, and let B = {the sum of
____ [38]
The answer is A ∪ B = {2, 4, 5, 6, 8, 10, 12}

A = {2, 4, 6, 8, 10, 12}
B = {5, 10}

A ∪ B. The union of two sets is everything in both sets. So we will combine the outcomes in set A and set B. Since in set B 10 is an even number, we will just add number 5 in <span>A ∪ B.
</span>
A ∪ B = {2, 4, 5, 6, 8, 10, 12}
5 0
3 years ago
A professor has noticed that, even though attendance is not a component of the final grade for the class, students that attend r
andrew11 [14]

Answer:

A) 57%

B) 16%

C) 53%

D) 57%

Step-by-step explanation:

Let R1 be students that attend class regularly

R2 be students that don't attend class regularly

A be students that receives A's in class

A) From the question A/R1 =57%

P(A/R1) = 0.57

B) From the question students that receive As that does not attend lectures regularly =16%

C) P(R2) = 1 -0.57 = 0.43

P(A) = P(A/R1) × P(R1) + P(A/R2)×P(R2)

P(A) = (0.57× 0.81) + (0.16×0

43)

P(A) = 0.46 + 0.0688= 0.53

The overall percentage that recieved A's = 53%

D) 57% recieved A's given that they attend class regularly.

4 0
3 years ago
The repairs bill on your car includes $355 for parts $146 for labor and a sales tax of $40 what is the total amount you owed
marissa [1.9K]

Answer:

$541

Step-by-step explanation:

Given:

The repair bill includes $355 for parts $146 for labor and a sales tax of $40

Question asked :

what is the total amount we owed = ?

Solution:

Total cost of parts to repair = $355

Total cost of labor = $146

Sales tax =$40

By adding all the cost:

Total cost of repair = $355 + $146 + $40

                                = $541

Therefore, total amount we have to pay = $541

7 0
3 years ago
- Evaluate the expression<br> y - (Z - w) for y = -5,2 = 5 and w = -2
timurjin [86]

Answer: The correct answer is - 12

Step-by-step explanation:

y = -5, z = 5 and w = -2

Inputing the various terms

-5 - (5 - (-2))

Resolving using BODMAS

= - 5 - (5+2)

= -5 - 7

= -12

Hope this helps

6 0
4 years ago
For a map a scale of 2 inches to 70 miles is used. If the distance on the map measures 1.8 inches what is the actual distance
asambeis [7]

Answer:

63 miles

Step-by-step explanation:

2/70 = 1.8/x                           Cross multiply

2x = 70 * 1.8                          Combine

2x = 126                                Divide by 2

x = 126/2

x = 63

The actual distance is 63 miles.

3 0
3 years ago
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