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3 years ago

5x +12=27 Solving a 2-step equation

Mathematics

2 answers:

Vikentia [17]3 years ago

3 0

Answer:

x = 3

Work below

Step-by-step explanation:

5x + 12 = 27

-12. -12

5x = 15

/5 /5

x = 3

Hope this helps!!

Olegator [25]3 years ago

3 0

Answer:

Step-by-step explanation:

5x+12=27

subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3

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Before she went on a diet, Jenna’s waist measured 32.45 inches. After the diet, it measured 26.97 inches. How many inches did Je

mash [69]

Answer:

5.48

Step-by-step explanation:

big number - little number

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4 years ago

Read 2 more answers

Brian can get to class by taking either a Commuter North bus, a Bursley Baits bus, or a Northwood Express bus. If he takes Commu

jolli1 [7]

Answer:

a) P(C/L) = 0.6668

b) P(C/L') = 0.1875

Step-by-step explanation:

Let's call C the event that Brian takes Commuter North, B the event that Brian takes Bursley Baits, N the event that Brian takes Northwood Express, L the event that Brian is late and L' the event that Brian is not late.

First, there is equal probability of taking any given bus so, P(C)=P(B)=P(N)=1/3

Now, the probability P(C/L') that Brian took a Commuter North bus given that he is late is calculated as:

P(C/L) = P(C∩L)/P(L)

Where P(L) = P(C∩L) + P(B∩L) + P(N∩L)

Then, the probability P(C∩L) that Brian takes a Commuter North bus and it is late is calculated as:

P(C∩L)= (1/3)*(0.5) = 0.1667

Because, there is a probability of 1/3 to takes Commuter North Bus and if Brian takes Commuter North there is a 0.5 chance to be late.

At the same way, we get:

P(B∩L) = (1/3)(0.2) = 0.0667

P(N∩L) = (1/3)(0.05) = 0.0167

So, P(L) and P(C/L) are equal to:

P(L) = 0.1667 + 0.0667 + 0.0167 = 0.25

P(C/L) = 0.1667/0.25 = 0.6668

For part b, the probabilities of C, B and N changes and are equal to:

P(C) = 0.3

P(B) = 0.1

P(N) = 0.6

Then, the probability P(C/L') that he took a Commuter North bus given that Brian was not late to class is calculated as:

P(C/L') = P(C∩L')/P(L')

Where P(L') = P(C∩L') + P(B∩L') + P(N∩L')

So, P(C∩L'), P(B∩L') and P(N∩L') are equal to:

P(C∩L') = 0.3*(0.5) = 0.15

P(B∩L') = 0.1*(0.8) = 0.08

P(N∩L') = 0.6*(0.95) = 0.57

It means that P(L') and P(C/L') are equal to:

P(L') = 0.15 + 0.08 + 0.57 = 0.8

P(C/L') = 0.15/0.8 = 0.1875

5 0

3 years ago

Read 2 more answers

What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.

nikitadnepr [17]

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

$Perimeter=UV+VW+WX+XY+YZ+ZU$

$Perimeter=9+2+3+3+6+5$

$Perimeter=28$

Therefore, the perimeter of UVWXYZ is 28 units.

6 0

3 years ago

I need some help with the question

vagabundo [1.1K]

To solve this you first need to turn your mixed numbers into improper fractions. to do this for $9 \frac{4}{5}$ you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction $\frac{49}{5}$ .

You repeat this process with $3\frac{1}{2}$ to get $\frac{7}{2}$ .

Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so $\frac{49}{5} * \frac{2}{7}$