9.
Which of these is a simplified form of the equation 6y + 4 = 8 + 2y + 2y? (5 points)

6y = 8
10y = 12
2y = 4
4y = 12
10.
The work of a student to solve the equation 2(3x – 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x – 4) = 8 + 2x + 4

Step 2: 5x – 6 = 12 + 2x

Step 3: 5x – 2x = 12 + 6

Step 4: 3x = 18

Step 5: x = 6

In which step did the student first make an error and what is the correct step? (5 points)

Step 2; 6x – 6 = 2(6 + x + 2)
Step 2; 6x – 8 = 12 + 2x
Step 3; 5x – 2x = 12 – 6
Step 3; 5x + 2x = 12 + 6

Answers

Answer 1

9.
6y+4=8+2y+2y
Combine like terms
6y+4=8+4y
Get like terms on the same side, subtract 4 from both sides to get
6y=4+4y
Subtract 4y from both sides to get
2y=4 IS the answer (even though it can be simplified further, that answer isn't one of the choices so 2y=4 is the equation simplified.)

10.
Step 2 was the mistake when you distribute a number you don't add (which is what they did to get 5x) you multiply to get 6x. So the correct step 2 would be
6x-8=12+2x
Becuase of the distributive property.

Hope this helped!

Answer 2

Question 9:

6y + 4 = 8 + 2y + 2y

6y + 4 = 8 + 4y

6y - 4y = 8 - 4

2y = 4

y = [tex] \frac{4}{2} [/tex]

y = 2

Hence, the answer is C.

Question 10:

2(3x – 4) = 8 + 2x + 4

6x - 8 = 12 + 2x

6x - 2x = 12 + 8

4x = 20

x = [tex] \frac{20}{4} [/tex]

x = 5

Hence, the answer is B.

Related Questions

Evaluate a + b for a =34 and b =-6

Answers

I believe the answer is 28

34- 6=28
28 is your answer

PLEASE HELP ON 25! ASAP!!

Answers

??????????????????????????????????????????

yoshi bought two pairs of shoes. the regular price of each pair was $108. with the purchase of one pair of shoes at regular price, the second pair was half price. how much did yoshi pay altogether for the two pairs of shoes?

Answers

The second shoe will cost 54 dollars. Alltogether (108+54), Yoshi will spend 162 dollars

Another way is simply by doing

108/2 is 54 this would be the half price pair of shoes

So

$108 + $54 = $162

how to divide double digits

Answers

Look at just the first digit of the larger number. ...Look at the first two digits. ...Use a little guesswork. ...Write the answer above the last digit you used. ...Multiply your answer by the smaller number. ...Subtract the two numbers. ...Bring down the next digit. ...Solve the next division problem.

Hope this helps

The fifth power of the product of the product p and q

Answers

Since the fifth power means something to the power of 5, and we have to find the fifth power of p*q, we have (p*q)^5

Arrange these from smallest to largest, 1/6,0.29,23%,3/5,0.027

Answers

1/6 = 0.166
0.29
23% = 0.23
3/5 = 0.6
0.027

Ans: 0.027, 1/6, 23%, 0.29, 3/5

Final answer:

To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, convert them to decimals and then compare. The order from smallest to largest is: 0.027, 1/6 (0.166...), 23% (0.23), 0.29, and 3/5 (0.6).

Explanation:

To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, we first need to convert them all to the same format. We can convert percentages to decimals by dividing by 100 and fractions to decimals by division. Here are the conversions:

1/6 = 0.166...0.29 (already a decimal)23% = 0.233/5 = 0.60.027 (already a decimal)

Now that they are all in decimal form, we can easily compare them:

0.027 (smallest)1/6 (or 0.166...)23% (or 0.23)0.293/5 (or 0.6, largest)

Leo and Robyn have received projects' funding of $39 655. They decide to share the funding in the ratio of 2:3 (Leo:Robyn) for their own research. How much does each person receive?

can you please help me to solve this?

Answers

the ratio 2:3 Leo:Robyn means that Leo gets 2/5 ( 2 / (2+3) of the funding and Robyn gets 3/5.

Leo gets 2/5 * $39655 = $15,862

RobYn gets 3/5 * 39655 = $23,793

Leo and Robyn receive $15,862 and $23,793 respectively.

What is the difference between a ratio and a proportion?

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

Total funding= $39655.

Funding in the ratio = 2:3

If x is the part by which one person receive;

The equation is found as;

2x+3x=$39655.

5x=$39655.

x=7931

Leo gets;

2x=2×$7931= $15,862

Robyn gets;

3x=3×$7931== $23,793

Hence,Leo and Robyn receive $15,862 and $23,793 respectively.

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Alaina sugar cookie recipe calls for 2 1/4 cups of flour per batch if she wants to make 2 /3 a batch of cookies how much flour should she use

Answers

If we have 2+1/4 for a batch and want 2/3rds of that, we multiply (2+1/4) by 1/3 to get 2/3+1/12 (we can just multiply the denominator by 3 to divide by 1/3) = 8/12+1/12=9/12=3/4 ( we get 8/12 by figuring out that 12/3 =4 so we multiply 2/3 by 4/4). Since we need 2/3rds, we then multiply 3/4 by 2 to get 6/3 or 3/2.

Answer:

Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.

Step-by-step explanation:

We are given the following information in the question:

Amount of flour required per batch of cookies =

[tex]2\displaystyle\frac{1}{4}\text{ cups}[/tex]

Number of batches of cookies Alaina wants to make = [tex]\displaystyle\frac{2}{3}[/tex]

Formula:

[tex]\text{Flour required} = \text{Flour required to make 1 batch of cookies}\times \text{Number of batches}\\\\=2 \displaystyle\frac{1}{4}\times \frac{2}{3}\\\\= \frac{9}{4}\times \frac{2}{3} = \frac{3}{2} = 1.5\text{ cups of flour}[/tex]

Hence, Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.

Maggie’s brother is 6 years younger than three times her age. The sum of their ages is 42. How old is Maggie?

Answers

x = Maggie's age

y = The brother's age

x + y = 42

y = 3x - 6

Using the substitution property, we can replace y in the first equation with the 3x - 6 in the second equation like so:

x + (3x - 6) = 42

Then solve this equation for x like so:

x + (3x - 6) = 42

x + 3x = 48 (Add 6 to both sides)

4x = 48 (Simplify)

x = 12 (Divide both sides by 4)

This shows that Maggie's is 12 years old. In order to prove this, you must check your work. In order to do this, first plug your answer back into the original equation like so:

x + y = 42

12 + y = 42. (Plug in answer)

y = 30 (Subtract both sides by 12)

This shows that Maggie's brother is 30 years old. The final step to proving this is to plug both of your answers into the second equation to make sure that your answers are within the constraints set by the problem. Do this like so:

y = 3x - 6

30 = 3(12) - 6 (Plug in answers)

30 = 36 - 6 (Simplify)

30 = 30 (Simplify)

Because the equation is balanced, your answers are correct. So, to answer your question, Maggie is 12 years old.

(n-5) (7n-3) simplified

Answers

First, outside, inside last

so your answer is

7n²-3n-35n+15

Simplified = 7n² - 38n + 15

Answer = 7n² - 38n + 15

hope this helps

for what values of x will the result of 5x be greater than 1

Answers

Anything greater than (1/5) that is positive

Ex. (1/4), (1/3), (1/2), 1, 2, 3, 4, 5

A restaurant took 1/10 of an hour to use 1/6 of a package of napkins at this rate how many hours would it take to use the entire package

Answers

36 minutes is how long it would take to use a package of napkins

1/10 of an hour is 6 minutes. So if they used 1/6 of a package in 6 minutes, then 6/6 of the package, or the entire package would be used up in 36 minutes (6*6)

the average cost of regular gasoline in north carolina increased by 73% from 2006 to 2007. If the average cost of a gallon of gas in 2006 was %2.069, what was the average cost in 2007?

Answers

you would need to do 2.069+73% which would get you 3.57937

Final answer:

The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.

Explanation:

The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,

First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.

Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $

3.57937

.

So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).

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Rachel’s phone company limits her monthly data usage to 3 gigabytes. She has already used 2,645 megabytes. How many gigabytes of data does she have left this month?

Answers

It would be .355 gigabytes because 3 gigabytes =3000 megabytes so 3000 minus 2,645 = 355 megabytes and 355 megabytes as gigabytes =.355 gigabytes

There are 1,000 megabytes per every one gigabyte. So 3 gygabites times 1,000 is equal to 3,000 megabytes. So, 3,000 megabytes minus 2,645 megabytes is equal to 355 megabytes. She has 0.355 gigabytes left this month.

To find the value of an expression is to _______________.

variable

squared

algebra

evaluate

Answers

evaluate , I've had this question before and I got it right

Express 152 as a product of prime factors in index form

Answers

Google it. Sorry I don't know

76x2
38x2
19x2
Answer: 2x2x2x19

A town received 2 3/4 inches of rain one day and 5 2/5 inches the next day .How many of inches of rain fell in the town over the two days

Answers

2 3/4 + 5 2/5 = 2.75 + 5.4 = 8.15
⇒ 8.15 inches of rain fell in the town over the two days.

You have a stuck of Pennies. Without counting the pennies, how can you know if there is an odd or even number of them?

Answers

Okay if this is for a math class my answer may not be acceptable but look at your pennies its a 50/50 chance odd or even so it depend on how big the stack is.

round 76,912 to the nearest ten thousand

Answers

80,000 i hoped this helped

80000 can be the nearest ten thousand of 76912

hope this helps you

If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?

Answers

Answer:

Step-by-step explanation:

The person weighs 560 more on Mars than on the moon.

On comparing the weight of the individual on Earth, Mars and Moon, we concluded -

W[Earth] > W[Mars] > W[Moon]

What is Weight ?

Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -

W = m x g

where -

[m] is the mass of object

[g] is acceleration due to gravity

Given is a person who weighs 240 pounds on Earth.

The weight of the individual in kg m/s² (Newtons) on earth would be -

W[Earth] = 240 x 0.45359237 x 9.8 = 1066.84 N

The weight of the same individual on mars would be -

W[Mars] = 240 x 0.45359237 x 3.11 = 333.56 N

The weight of the same individual on moon would be -

W[Moon] = 240 x 0.45359237 x 1.625 = 176.90 N

Therefore, we can conclude that W[Earth] > W[Mars] > W[Moon].

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Can any three side lengths make a triangle? Explain your reasoning.

Answers

In most cases its possible, but if the 2 of the shortest side lengths are added together and the sum is greater than the 3rd side length, than making a triangle is not possible.

What is 12.1 rounded to the nearest whole number

Answers

Number in ones place: 2
Number in tenths place: 1

Since 1 is less than 5, the number rounds down,
Final answer: 12

Well it would still just be 12

HELP ME THANKSSSS :)

Answers

Point M for this triangle is called the Centroid.

consider the function t(x)=x/8+2x find t(16)

Answers

t(x) = x/8 + 2x
t(16) = 16/8 + 2(16)
t(16) = 2 + 32
t(16) = 34

Hope this helps!

Give one real world example where you would use absolute value.

Answers

Distance measurements

One example of absolute value in the real world is subtraction.
For example, you have 17_____ and your friend has 62_____.
if you want to see how many more _____ your friend has, you want to make sure that the answer will be positive. The way that you do this is you subtract |17 - 62| = 45
(I know.... You could just do 62 - 17, but absolute value can be used so you can subtract |a - b| and |b - a|, and they will turn out the same.)

Explain how to find the LCM.

Answers

Example
2,4,8,10
4,8,12
It's 4 because it's the least common multiple.

A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)

Answers

Final answer:

A 6-pound bag of sugar can make 14 whole batches of muffins and the cost for sugar per each batch is approximately $0.32.

Explanation:

The subject of this question is in the field of Mathematics, specifically dealing with ratios and proportions. To determine the number of whole batches of muffins a bag of sugar can make, you will first need to find the number of cups in the bag. Given that 1 cup is equivalent to 48 teaspoons and the 6-pound bag of sugar contains 681 teaspoons, divide 681 by 48 to get roughly 14.1875. Since we cannot make a fraction of a batch, round down to 14, which is the number of whole batches we can make.

To find the cost per batch, divide the total cost ($4.49) by the number of batches (14) to get a per-batch cost of roughly $0.32.

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The area of a circle is 78.5 cm2. What is the diameter of the circle?

Answers

Your answer is 157, i'm pretty sure

hello :
The area of a circle is : A = π × r²
r² = A/π
r² = 78.5/3.14
r² = 25
r = 5
but : d = 2r ... r : ridus and d : the diameter
so : d= 10

The temperature at noon is 75 Fahrenheit. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.

Answers

75 - 3 every half hour so minus 6 every hour,
between noon and 4pm, there are 4 hours
4*6 = 24
75 - 24 = 51

Noon is 12 pm.

Temperature drops by 3° every 30 minutes.

There are 240 minutes in 4 hours.

So, in 4 hours or 240 minutes, the temperature dropped by 24°.

By 4 pm, the temperature is 51°F.

Is y=9x-8 a function

Answers

yes, it is a function

Yes it is a function

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