Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)


Here are a list of the properties-

Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation

Answer:

The answer is 35

Step-by-step explanation:

First of all, note that 56 is the same as 56/1 since 56 divided by 1 is 56. Therefore, start by setting up the problem like this:

Step 1: 56/1 x 8/5 =

Step 2: Multiply the numerators together (56 x 8 = 448) and multiply the denominators together (1 x 5 = 5) and make it into one fraction like so 448/5 Step 3: Convert the improper fraction above to a mixed number to get the answer: 89 3/5

That's it! Now you know how to calculate 56 times 8:5.

Answer:

35

Step-by-step explanation:

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = [tex]^{6}P_3[/tex]

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

Answer: 85 cents

Step-by-step explanation:

Answer:

$0.85 per banana

Step-by-step explanation:

if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25

Answer:

The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.

Step-by-step explanation:

Now that i wrote this passage you have to figure out which one it is

Answer:

6+y

Step-by-step explanation:

simple:)

Answer:

75 hamburgers per minute

Step-by-step explanation:

We’ll it’s 4500 per hour, or every 60 minutes, to find 1 min, you can divide by 60.

4500/60 = 75

Answer:

Step-by-step explanation:

Interest

Answer:

y=3x+4

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

36/something1 = 12/something2

36/12=3

to get from something1 to something2 you divide by 3

36/3x=12/x

Cross multiply

36x=12*3x

36x=36x

x=x

Since each side of the equation is equal, the solution is all real numbers

I hope this helps :)

Answer:

They still have to earn:

$750 - $182.9 = $567.1

and if they make $5.35 for every pizza sold:

$567.1 : $5.35 = 106

They must sell 106 pizzas more.  

Step-by-step explanation:

Answer:

119.76

8 days

0.5217

93

Step-by-step explanation:

Given that:

1)

Kim's time = 135.46 seconds

Tyron's time is 15.7s faster ;

Tyron's time = 135.46 - 15.7 = 119.76

Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?

(2 1/2 * 3) = 7.5 mL per day

60 mL / 7.5 = 8 days

3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?

Total bought = 23 of a kilo of meat

Amount cooked = 12 /23= 0.5217 kilo

4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.

Cost per meter :

813.75 / 8.75 = 93 per meter

5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?

Question 5 is Incomplete

Answer: 11 cents

Step-by-step explanation:

add 11.20 +5=16.20, then dived by 180, which equals .11

Answer:

42, 46, and 50.

Step-by-step explanation:

We need to plug in each x value to find the y values.

1) y = 4(3) + 30

y = 12 + 30

y = 42

2) y = 4(4) + 30

y = 16 + 30

y = 46

3) y = 4(5) + 30

y = 20 + 30

y = 50

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Answer:Add them up

Step-by-step explanation:

Answer (let x be the number):

5x - 40 = x + 8

I hope this helps!

The number in the equation 5n - 40 + 8 = n is 8.

A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.

We can also construct numerical expression form real life scenarios.

According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.

Let the number be 'n'.

∴ 5n - 40 + 8 = n

5n - n = 40 - 8.

4n = 32.

n = 32/4.

n = 8.

learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ2

Answer:

27.27% of the class was absent

Step-by-step explanation

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

The solution is option C.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

(-8)(-12)(2)

=96*2

=192

so. we get,

It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .

so, therefore your answer is c.

To learn more on multiplication click:

brainly.com/question/5992872

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Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Answer:

Step-by-step explanation:

To find it we will divide:

The first number is 10^10 times larger

Answer:

  1e+16 and 1000000 multiply it then divide...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define systems

x = y - 3

2x - 2y = -6

Step 2: Solve for y

Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.

Answer:

y = - x - 10

Step-by-step explanation:

y - (- 3) = - (x + 7)

y = - x - 10

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

Answer:

130°

Step-by-step explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

The answer is 2 pounds.

Each pound weighs 1/4, so you divide 8 by 1/4 and you get 2.