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alina1380 [7]
2 years ago
9

The difference between 3 times a number and 5 is 7. What is the number?

Mathematics
1 answer:
Vesna [10]2 years ago
8 0

Answer:

4

Step-by-step explanation)

n(3) - 5 = 7

n(3)= 7 + 5

n(3)= 12

n3/3 = 12/3

n =4

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Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the poi
Misha Larkins [42]

Answer:

  • 8x + 3y = 57
  • y = -8/3x + 19
  • y + 5 = -8/3(x - 9)

Step-by-step explanation:

<u>Given function</u>

  • 8x+3y=11

<u>Line parallel to the given has the same slope and passes through the point </u>

  • (9, -5)

<u>Determining the equation</u>

  • 8x + 3y = c
  • 8*9 + 3*(-5) = c
  • c=72 - 15
  • c = 57

<u>So the function is in </u><u>standard</u><u> form</u>

  • 8x + 3y = 57

<u>Converting to </u><u>slope-intercept</u><u> form</u>

  • y = mx + b
  • 3y = -8x + 57
  • y = -8/3x + 573
  • y = -8/3x + 19

<u>Point-slope</u><u> form, using the given point</u>

  • y - y1 = m(x - x1)
  • y - (-5) = -8/3(x - 9)
  • y + 5 = -8/3(x - 9)

6 0
2 years ago
3/4 of a class are girls. 1/3 of the girls wear bows in their hair. What fraction of the class are girls with bows in her hair
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

1/3 * 3/4 = 1/4

7 0
3 years ago
Please Help me it would mean the world to me​
alexdok [17]

Answer:

I Can't read it

Step-by-step explanation:

7 0
2 years ago
The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a
Kitty [74]

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

8 0
2 years ago
What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?
telo118 [61]

Step-by-step explanation:

The solution is one-solution

.3(12x-16)=.4(12-3x) (you do the distributive property)

3.6x-4.8=4.8-.12x (you add 1.2 to both sides)

3.6x-3.6=4.8 (You add 3.6 to both sides)

3.6x=8.4 ( You divide 3.6 both numbers)

x=0.4285...

Its a one-solution

5 0
2 years ago
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