Felipe and Makayla each tried to solve the same equation for x.

Original equation: 2x + 6= 3x - 8

The result of Makayla’s first
step was 6 = x - 8

Describe the first step Makayla made to the equation.

Answer:

2x = x+1 + 18

---

x = 19

-----------

x+1 = 20

Step-by-step explanation:

The smaller of the two consecutive even integers is 20, and the larger is 22.

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols.

Let's call the smaller of the two consecutive even integers "x".

Since the integers are consecutive and even, we know that the larger integer must be 2 more than the smaller integer. Therefore, we can represent the larger integer as "x + 2".

According to the problem statement, two times the smaller integer (2x) is 18 more than the larger integer (x + 2). We can express this algebraically as:

2x = x + 2 + 18

Simplifying this equation, we can combine like terms on the right-hand side:

2x = x + 20

Subtracting x from both sides, we get:

x = 20

Therefore, the smaller of the two consecutive even integers is 20, and the larger is 22 (since 20 + 2 = 22).

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Answer:

You would need 18 litres more of white paint to create Citron Green paint.

Step-by-step explanation:

Given the Green Apple paint contains 24 litres of green paint in a 2:1 ratio with white paint, we can conclude the mixture contains 12 litres of white paint because 24 / 2 = 12.

In a Citron Green paint mixture, the current paint mixture would contain 24 litres of green paint in a 4:5 ratio with white paint. This would mean there are 30 litres of white paint in this mixture.

24 / 4 = 6

5 x 6 = 30

To make Citron Green paint, you would need 18 litres more of white paint.

30 - 12 = 18

The amount of white paint that needs to be added is required.

He needs to add 75 liters of white paint.

Let x be amount of green paint

y be amount of white paint.

Amount of apple green paint is 90 L, so

[tex]x+y=90[/tex]

The ratio of green to white paint is 2:1, so

[tex]\dfrac{x}{y}=\dfrac{2}{1}[/tex]

Rearranging the equation

[tex]x=2y[/tex]

Substituting in the first equation

[tex]2y+y=90\\\Rightarrow y=\dfrac{90}{3}\\\Rightarrow y=30\ \text{L}[/tex]

Amount of white paint is 30 L.

Amount of green paint is [tex]x=2y=2\times 30=60\ \text{L}[/tex]

Amount of green paint added to the apple green paint is 24 L.

Amount of green paint in the mixture is 60+24 = 84 L.

Let the amount of white paint to be added in the mixture be y.

This will be added to the 30 L of white paint in the original mixture.

The ratio of green:white = 4:5, so

[tex]\dfrac{84}{y+30}=\dfrac{4}{5}\\\Rightarrow \dfrac{84\times 5}{4}=y+30\\\Rightarrow 105=y+30\\\Rightarrow y=105-30=75[/tex]

The amount of white paint to be added is 75 L.

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Answer:

Ray AD is the anserw

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer: Ben completes 3/10 of his book report  per hour

Step-by-step explanation:

Ben completes 1/4 of his book report in 5/6 of an hour

5/6 of an hour =  5/ 6 x 60 = 50 minutes

Therefore in 1 hour, which is = 60 minutes  he  completes

(1/4 x 60 minutes)/ 50 minutes

= 15/ 50

= 3/10 of his book report.

Answer:

3, 6, 9, 12, 15

Step-by-step explanation:

just took quiz

Answer:

2.33

Explanation:

First find the mean:

1 + 10 + 7 + 6 + 4 + 8 = 36

36 / 6 ( there are 6 total numbers) = the mean is 6

Then subtract the mean from each number:

1 - 6 = -5

10 - 6 = 4

7 - 6 = 1

6 - 6 = 0

4 - 6 = -2

8 - 6 = 2

(don't worry about the negatives)

5 + 4 + 1 + 0 + 2 + 2 = 14

14 / 6 ( again, there are 6 total numbers) = 2.33

Step-by-step explanation:

step 1. 1-12/20 = 1.6

step 2. 1.6 = 160%.

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B. 100°

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9514 1404 393

Answer:

  (a)  A'(-2, 1), B'(-4, -3), C'(-7, 0)

Step-by-step explanation:

If X is the center of rotation, the coordinates of point P are transformed like this:

  P' = -(P -X) +X

  P' = 2X -P

  (x, y) ⇒ (2(-5) -x, 2(3) -y)

  (x, y) ⇒ (-10-x, 6-y)

__

Your points are transformed to ...

  A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)

  B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)

  C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)

These coordinates match the first choice.

Answer:

the perimeter is 960

Step-by-step explanation:

The computation of the perimeter is shown below;

If we assume

= (24 × 2) + (6 × 2)

= 48 + 12

= 60

And, the area is 16 times to that of original So

= 60 × 16

Hence, the perimeter is 960

Answer:

The answer is 365

Step-by-step explanation:

just do 73 times 5 and you get your answer

Answer:

Step-by-step explanation:

Answer:

michelle is 56 years old

Step-by-step explanation:

start with madeline you know she's 7, move on to fiona we know she is twice as old as madeline so we mulitply 7 times 2, we get 14. now we know fiona is 14 and in order to find michelles age we multiply times 4 because shes four time fionas age. 14x4=56.

First find fionas age

Fiona is 2x as old as madeline

madeline is 7

mulitply 7*2 which gives you 14

that means fiona is 14

multiply 14 by 4 which gives you 56

michelle is 56

Answer:y= -5

X=-6

-5/6

Step-by-step explanation:

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given

Important Tip:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

In our case,

Step 1 of 2

Determine the y-intercept b

substitute m = -1/2 and (x, y) = (6, -4) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]-4\:=-\:\frac{1}{2}\left(6\right)+b[/tex]

switch sides

[tex]-\frac{1}{2}\left(6\right)+b=-4[/tex]

[tex]-3+b=-4[/tex]

Add 3 to both sides

[tex]-3+b+3=-4+3[/tex]

simplify

[tex]b=-1[/tex]

Thus, the y-intercept b = -1

Step 2 of 2

substitute the values

substitute b = -1 and m = 1/2 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y=-\frac{1}{2}x+\left(-1\right)[/tex]

[tex]\:y=-\frac{x}{2}-1[/tex]

Conclusion:

Therefore, the equation in the slope-intercept form will be:

[tex]\:y=-\frac{x}{2}-1[/tex]

The graph of the line equation is also attached.

Answer:

Step-by-step explanation:

number of ways=6×5×4=120

Answer:

THanks

Step-by-step explanation:

Answer:

What is the question??

Step-by-step explanation:

Answer:

The answer would be 3

3x3x3 equals 27 you times it three times because its cube root of 27

Answer:

125

Step-by-step explanation:

cubed root of 27

"The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125"

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

$175 at 5.45% for 36 months

First, we need to determine the monthly interest:

Monthly interest= 0.0545/12= 0.004542

Now, we will calculate the interest earned using both simple and compound interest:

Simple interest:

I= P*r*t

I= 175*0.004542*36

I= $28.61

Compound interest:

I= PV*(1+i)^n - PV

I= 175*(1.004542^36) - 175

I= $31.01

Answer:

1.5

Step-by-step explanation:

2+3.3x-1.7=5.25

=> 3.3x = 5.25 +1.7 -2

=> 3.3x = 6.95 - 2

=> 3.3x = 4.95

[tex] = > x = \frac{4.95}{3.3} [/tex]

[tex] = > x = \frac{49.5}{33} [/tex]

=> x = 1.5 (Ans)

Answer:

D

Step-by-step explanation:

to find the next term multiply by 3

Answer:

$1,065

Step-by-step explanation:

Simple interest equation: A=P(1+rt)

P (principal amount) = 750, r (rate) = 3.5%, t (time) = 12 years

A=750(1+(3.5)(12))

A=1065

The amount of an investment to be worth after 12 years should be considered as the $1,065

Since

The deposited amount is $750

The rate of interest is 3.5% per year.

And, the time period is 12

So,

A=750(1+(3.5)(12))

A=1065

Hence, The amount of an investment to be worth after 12 years should be considered as the $1,065

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Answer:

Move all terms not containing the variable from the center section of the inequality.

−1<x<5

Answer:

120

Step-by-step explanation:

Answer: 120

Step-by-step explanation: hope this helps

Answer:

The first one

Step-by-step explanation:

Answer:

<h to <g

Step-by-step explanation: