What is the value of a? a–2=3+6a over/divided by 3

Answers

Answer 1

Answer: A= -3

Step 1: Simplify both sides of the equation.

a−2=

3+6a

3

a+−2=2a+1(Distribute)

a−2=2a+1

Step 2: Subtract 2a from both sides.

a−2−2a=2a+1−2a

−a−2=1

Step 3: Add 2 to both sides.

−a−2+2=1+2

−a=3

Step 4: Divide both sides by -1.

−a

−1

=

3

−1

a=−3


Related Questions

the clock loses 12 minutes every hour. it shows the correct time right now which is 3. when will the clock show the correct time again

Answers

10:00 will show trhe corect tiem

Trevor plans on buying a car. Four banks offer the annual interest rates shown.

Which list shows these interest rates in order from greatest to least


3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%

Answers

Solution

In order to find  greatest to least number, we have to convert the given fractions into decimals.

3 [tex]\frac{1}{10}[/tex] % = 3 + 1/10 = 3 + 0.10 = 3.10%

3 [tex]\frac{2}{5}[/tex]% = 3 + 2/5 = 3 + 0.40 = 3.40%

3 [tex]\frac{1}{4}[/tex] %= 3 + 0.25 = 3.25%

3 [tex]\frac{1}{3}[/tex]% = 3 + 0.33 = 3.33%

Now we can easily, compare the numbers and write from greatest to least.

3.40%, 3.33%, 3.25%, 3.10%

Greatest to least  = 3 2/5%, 3 1/3%3, 3 1/4%,  1/10%,

Thank you :)

Answer:

3 2/5%, 3 1/3%, 3 1/4%, 3 1/10%

Step-by-step explanation:

help algebra. one question.

Answers

Jenny's total earnings:

total earnings = (hours worked on design)*40 + (hours worked on maintenance)*35

average earnings = total earnings / hours worked

So far she has

total earnings = 18*40 + 20*35 = $1420

which is an average per hour = $1420/38hr = $37.37

How many more hours on webdesign: x

so that

($1420+x*$40)/(38+x)=38

Now solve for x - this I let you do. My results is x=12 (you can verify by plugging it iback into the equation).

The answer is Jenny needs to work 12 more hours to claim an average earnings of $38/hr. Lmk if you have questions.



Which is the correct formula to find the distance between two points (a, b) and (c, d)? Please Answer quickly! Thank you!

Answers

Answer:

Use the distance formula.  Result:  sqrt [ (a-c)^2 + (b-d)^2 ]


Step-by-step explanation:

distance = d = sqrt [ (a-c)^2 + (b-d)^2 ]


Answer:

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Step-by-step explanation:

We are given two points (a, b) and (c, d)

We need to find the distance between two points.

It is coordinate of two points. Using coordinate formula of distance.

[tex]d=\sqtt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where,

[tex]x_2\rightarrow c[/tex]

[tex]x_1\rightarrow a[/tex]

[tex]y_2\rightarrow d[/tex]

[tex]y_1\rightarrow b[/tex]

Substitute into formula

Distance between two points is

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Hence, The formula of distance between two points  (a, b) and (c, d) is [tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Raphael is twice as old as his sister is. The sum of their ages is less than 30. What is the greatest age Raphael’s sister can be?

The greatest age Raphael's sister can be is 9 years old.
The greatest age Raphael's sister can be is 11 years old.
The greatest age Raphael's sister can be is 20 years old.
The greatest age Raphael's sister can be is 10 years old.

Answers

Lets solve each one :

 If she is 9 :

9 times 2 = 18 + 9 = 27

If she is 11 :

11 times 2 = 22 + 11 = 33

If she is 20 :

20 times 2 = 40 + 20 = 60

If she is 10 :

10 times 2 = 20 + 10 = 30

You pick your answer :)

I hope this helped!

Have a great day!!!

The greatest age Raphael's sister can be is 10 years old.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, Raphael is twice as old as his sister is. The sum of their ages is less than 30.

Let the age of Raphael's sister be x,

2x + x = 30

3x = 30

x = 10

Hence, The greatest age Raphael's sister can be is 10 years old.

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How many two-thirds are in four-thirds

Answers

2 two-thirds are in four-thirds because 4 divided by 2 is 2

Which diagram BEST represents the line of best fit for the scatterplot?

A)



B)



C)



D)

Answers

Answer:  C looks like the best fit.


Answer:

C

Step-by-step explanation:

A scatterplot best fit line looks as thought the distance of the points above the line are the same as the points below the line in this case. See the comment under d for more.

A

All the points are above the line

B

Only a very few points come close to the line. Left right is more at work here rather than up and down.

C Answer

D

The average of those above the line might be the same as below the line, but the symmetry is a left right symmetry; all the downs are on the left and all the ups are on the right.. They might average out to be 0 but it is not what is meant. The x and y values both have something to do with the answer. D is the second best answer.


A real estate agent spends $1,500 on advertising for three months to sell an average house. If the house sells in three months, the agent earns $9,000. Otherwise, he loses the listing and earns nothing. If there is a 40% chance that the house will sell in three months, what is the expected revenue for the real estate agent?
$2,000
$2,100
$3,200
$3,600

Answers

Ok so if the agent spend 1,500$ on advertising then thats -1,500 for his wallet eg.

WALLET:

-1,500$

Now if the house sells in 3 months that's 9,000 in wallet but since there is only a 40% chance then we need to work out 40% of 9000 we can do that by doing 9000 x 0.40 which = 3,600 so 3,600 in wallet on average

-1,500

+3,600

now if we combine these we get 2,100 so the answer is on average 2,100

Answer:

B edge

Step-by-step explanation:

Use the partial quotient to solve 673÷5

Answers

Our answer would be 134.6

Someone please help me with this!!

Answers

PEMDAS tells us to use multiplication and division before addition and subtraction.

-5(8) ÷ 10 - 14 ÷ 7 - (-2)(3)

-40  ÷ 10 -     2    -   -6

     -4       -    2     + 6    two negatives make a positive so - - 6  = + 6

            -6              +6

                      0

Answer: 0


the cost of 500000 worth of 30 year term life insurance for Edna is $121.04 per month if Edna's employer covers 80% of this cost how much is deducted from Edna's gross income per year for life insurance?

Answers

121.04×.80=96.83
96.83×12=1161.96
Ednas employer pays 1161.96
121.04-96.83=24.21
24.21×12=290.52
Edna pays $290.52 of her gross income

Answer:

$290.50

Step-by-step explanation:

121.04 * 80% = 96.832

121.04 - 96.832 = 24.208

24.208 * 12 = 290.496 ~ 290.50

Does 7/14 and 3/6 form a proportion

Answers

Quick Answer: Yes

If you reduce both to their lowest terms each becomes 1/2

Divide the numerator and denominator by 7 for the first one

(7 ÷ 7)/(14 ÷ 7) = 1/2

And numerator and denominator by 3 for the second one

(3 ÷ 3)/ (6 ÷ 3) = 1/2

will a rectangular piece of wrapping paper that is 20 in. by 15 in cover a shirt gift box that is 12inches long, 8in wide, and 3inches. Deep Explain?

Answers

First

Multiply 20in. by 15in.


Second

Multiply 12 by 8


Third

Multiply the sum of 8 and 12 to 3


The answer would be yes because the sum of 12, 8, and 3 is 288 and 20 by 15 is 300 so you'd have some left over.

Final answer:

Yes, the rectangular piece of wrapping paper can cover the shirt gift box.

Explanation:

To determine if the rectangular piece of wrapping paper can cover the shirt gift box, we need to compare the dimensions of the paper to the dimensions of the box.

The dimensions of the paper are 20 in. by 15 in. The dimensions of the box are 12 in. long, 8 in. wide, and 3 in. deep.

To cover the box completely, the paper needs to have enough surface area to cover the top and all four sides of the box.

Since the dimensions of the paper are greater than or equal to the corresponding dimensions of the box, the rectangular piece of wrapping paper can cover the shirt gift box.

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What type of number is 67

Answers

it is an odd number. it is also a prime number . ie only divisible by one and  itself.

It’s an odd number and it’s the 19th prime number

Darcy and Leah are looking at some fabric selections in a store. All of the selections are marked the same price, and the amount, in yards, of each fabric is written as an improper fraction. Which amount is the greatest?
A. 43⁄5
B. 78⁄9
C. 33⁄4
D. 22⁄3

Answers

B)

A= 8.6

B=8.66666...

C=8.25

D=7.33333...

B is your answer because you want to find the lowest denominator and the highest numerator

Evaluate the expression. Drag the answer into the box to match the expression. 2⋅(36⋅3−5)

A. 2/3
B.3
C.6
D.18

Answers

Final answer:

The correct evaluation for the expression 2⋅(36⋅3−5) under the order of operations is 206, which is not one of the provided options A: 2/3, B:3, C:6, D:18.

Explanation:

The subject is Mathematics and the question belongs to the Middle School grade. The problem given is to evaluate the expression: 2⋅(36⋅3−5). Here, we will use the order of operations, also known as BIDMAS or PEMDAS, which stands for Brackets, Indices (or exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

First, we evaluate the operation in the parentheses: 36 times 3 minus 5, which simplifies to 108-5 = 103. Next, this value is multiplied by 2 according to the expression, resulting in a final answer of 2*103= 206. Hence, the correct evaluation of the expression 2⋅(36⋅3−5) is 206. The options provided in the question A: 2/3, B:3, C:6, D:18 do not match the correct answer.

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write an equation for each translation of y = x 6 units left

Answers

[tex]<b><i>HEY THERE!![/tex]

F(x)= x+6 that should be the answer.

HOPE IT HELPED YOU.

Hi the answer is:

y = IxI + 6


Greta uses 6 ounces of pasta to make 6 /7 of a serving of pasta. How many ounces of pasta are there per serving?

Answers

Answer:

7

Step-by-step explanation:

We know that since 6 ounces creates 6/7 of a serving, that basically says that 1/7 of a serving is created with 1 ounce of pasta. So if there were 7 ounces of pasta, that would make 7/7 servings and that would be 1 serving

A play is performed for a crowd of 400 people. Adult tickets cost $22 each, student tickets cost $15 each, and tickets for children cost $13.50 each. The revenue for the concert is $7840. There are 40 more children at the concert than students. How many of each type of ticket are sold?

Answers

Answer:

280 adult tickets, 40 student tickets and 80 children tickets were sold.

Step-by-step explanation:

To solve this problem let's call:

x = number of tickets for adults

y = number of tickets for students

z = number of tickets for children

The income for the concert is $ 7840

Then we can raise the following equations according to the given conditions:

[tex]x+y+z = 400[/tex]   (i)

[tex]22x+15y +13.50z = 7840[/tex] (ii)

 There are 40 more children in the concert than students:

So:

[tex]z=40+y[/tex]  (iii)

We then have 3 equations and 3 unknowns:

To solve the system we multiply the equation (i) by -22 and add it to the equation (ii)

So:

[tex]-22x-22y-22z=-8800[/tex]

       +

[tex]22x+15y +13.5z =7840 [/tex]

[tex]-7y-8.5z = -960[/tex] (iv)

 Now we multiply (iii) by 7 and add it to (iv)

[tex]7y-7z = -280 [/tex]

   +

[tex]-7y-8.5z = -960[/tex]    

[tex]-15.5z = -1240 [/tex]

[tex]z = 80[/tex] (v)

We substitute (v) in (iv) and we have

[tex]y = 40[/tex] (vi)

We substitute (v) and (vi) into (i) and we have:

[tex]x =280[/tex]

280 adult tickets, 40 student tickets and 80 children tickets were sold.

Original cost of a shirt: $54 ; markup by 50%, then markdown by 25%

Answers

54 x .50 = $27

54 x .25 = 13.5


50% = $27.00

25% = $13.50

Please Help if you can! There are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 3 pieces of butterscotch candy and 2 pieces of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a red gumdrop and a piece of butterscotch candy? The Answer choices are 6/25, 1/2, 4/25, or 1/5! Thank you!

Answers

I think it would be 6/25 because you have 2/5 chance and a 3/5 chance,
2 × 3 = 6
--- --- ---
5 × 5 = 25

I hope this helps ♡ chyna

The probability of drawing a red gumdrop is [tex]\( \frac{2}{5} \)[/tex] and butterscotch candy is [tex]\( \frac{3}{5} \)[/tex]. Combined, it's [tex]\( \frac{6}{25} \)[/tex]. Answer: A.

To find the probability that Craig will draw a red gumdrop and a piece of butterscotch candy, we need to find the probability of each event separately and then multiply them together because the events are independent.

1. Probability of drawing a red gumdrop:

[tex]\[ P(\text{red gumdrop}) = \frac{\text{number of red gumdrops}}{\text{total number of gumdrops}} \][/tex]

[tex]\[ P(\text{red gumdrop}) = \frac{2}{2 + 3} = \frac{2}{5} \][/tex]

2. Probability of drawing a piece of butterscotch candy:

[tex]\[ P(\text{butterscotch candy}) = \frac{\text{number of butterscotch candies}}{\text{total number of candies}} \][/tex]

[tex]\[ P(\text{butterscotch candy}) = \frac{3}{3 + 2} = \frac{3}{5} \][/tex]

Now, multiply the probabilities together:

[tex]\[ P(\text{red gumdrop and butterscotch candy}) = P(\text{red gumdrop}) \times P(\text{butterscotch candy}) \][/tex]

[tex]\[ P(\text{red gumdrop and butterscotch candy}) = \frac{2}{5} \times \frac{3}{5} \][/tex]

[tex]\[ P(\text{red gumdrop and butterscotch candy}) = \frac{6}{25} \][/tex]

So, the probability that Craig will get a red gumdrop and a piece of butterscotch candy is [tex]\(\frac{6}{25}\)[/tex], which corresponds to option A.

The correct question is:

Here are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 3 pieces of butterscotch candy and 2 pieces of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a red gumdrop and a piece of butterscotch candy? The Answer choices are

A. 6/25

B. 1/2

C. 4/25

D. 1/5

Use the photo to answer the question

Answers

D. the final one, the one you currently have answered is the correct one, this is because a parallelogram, like this one, requires that the triangles on either side must be congruent in order for this to be true.

Triangles BPA and DPC are congruent, which implies that opposite sides AB and CD are parallel, thus making quadrilateral ABCD a parallelogram.

The statement Triangles BPA and DPC are congruent is used to prove that quadrilateral ABCD is a parallelogram.

Given that diagonals AC and BD bisect each other, we have:

[tex]$\angle BAP = \angle CDP$[/tex]  (vertically opposite angles)

[tex]$AP = CP$[/tex] and BP = DP  (given)

Therefore, triangles BPA and DPC are congruent by SAS (side-angle-side) congruence. This means that [tex]$\angle ABP = \angle CDP$[/tex] and [tex]\angle BPA = \angle DPC$.[/tex]

Since [tex]$\angle ABP$[/tex] and [tex]$\angle CDP$[/tex]  are alternate interior angles formed by transversal BD intersecting parallel lines AB and CD, we have:

AB \parallel CD

Similarly, since [tex]$\angle BPA$[/tex]  and [tex]$\angle DPC$[/tex] are alternate interior angles formed by transversal AC intersecting parallel lines AB and CD, we have:

AB \parallel CD

Therefore, quadrilateral ABCD is a parallelogram.

Proof:**

1. Given:[tex]$\angle BAP = \angle CDP$ and $AP = CP$ and $BP = DP$[/tex]

2. Prove:[tex]$AB \parallel CD$[/tex]

SAS Congruence**

1.[tex]$\triangle BAP \cong \triangle DPC$ (SAS)[/tex]

Alternate Interior Angles**

2. [tex]$\angle ABP = \angle CDP$[/tex](alternate interior angles)

3. [tex]$\angle BPA = \angle DPC$[/tex] (alternate interior angles)

Therefore, $AB \parallel CD.

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13_,644 130,000 this # was rounded to nearest ten thousand list the possible digits that could go in the thousands place to make this statement correct

Answers

We have two rules in case of rounding off digits,

Rule 1:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

Rule 2:

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

We are given the number 13_,644 which rounds off to 130,000.

Now as we can see the number is rounded down, so we can apply rule number 2 here.

If we place the digit 0, 1, 2, 3 or 4 then the number will round off to 130,000.

Answer: The possible digits that can go in thousands place are 0, 1, 2, 3 or 4.

A box o 25 light bulbo is shipped to a hardware store when it arrives four of the bulbs are broken predict the number of broken Light bulbs in an order of 125 bulds

Answers

Well if its 4/25 and you multiply both numbers by 5 you get 20/125

Can anyone help me? I would really appreciate it. Thanks in advance.

Answers

∠AKJ ≅ AIH  because they are corresponding angles

  60° = AIH   by substitution

ΔAIH

∠A + ∠I + ∠H = 180°   per the triangle angle sum theorem

 x  + 60 + 56 = 180    substituted known values

 x +       116     = 180   added like terms

                    x = 64     subtracted 116 from both sides  

Answer: 64°  


Zach has 3/4 hour play video games. It takes him 1/12 hour to set up the stystem. Each round of his favorite game takes 1/6 hour. How many rounds can he play.

Answers

He can play 4 rounds. If you find a common denominator, it would end up with 9/12 of an hour to play and then you subtract the 1/12 it took to set it up. this leaves you with 8/12. but, it takes 2/12 of an hour to play each round. so 8 divided by 2 is 4. Which is where the 4 rounds is from!

What are the angle measure of x and y

Answers

Assuming these two lines are parallel, x=106 as they are corresponding angles, and y=180-106, so y=74.

Y=74 hope this helps

The some of three consecutive integers is 33 more than the least of the integers. Find the integers

Answers

Let the smallest number = x

The next higher number would be x +1

The 3rd number would be x +2


The sum of the 3 numbers: x + x+1 + x+2

33 more than the smallest number is written as x+33


Now you have:

x + x+1 + x+2 = x+33

Simplify the left side:

3x +3 = x +33

Subtract 3 from each side:

3x = x +30

Subtract 1x from each side:

2x = 30

Divide both sides by 2:

X = 30/2

x = 15


The three numbers are 15, 16 and 17

(10 points) State the relationship between segments MA and TH. Explain.

Answers

Find the totals of both Angle s A and T by adding the 2 angles in each corner:


Angle A = 58 + 32 = 90 degrees

Angle T =  46 + 44 = 90 degrees.


Becuase both these angles are 90 degrees Lines AM and TH are parallel.

The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the function
Part A: if a club needs 8 t-shirts then it will cost...
Part B: if c(12) then...
T shirts will cost...

Answers

For this case we have:

Cost of manufactures of T-shirts [tex]C(x)=10.5x[/tex]

where x represents the number of T-shirts

Part A:

Substituting [tex]x = 8[/tex] in the total cost equation you have to:

[tex]C (8) = (10.5) (8)\\\\C (8) = 84\\[/tex]

Thus, the cost of 8 shirts will be [tex]C (8) = 84\\[/tex]

Part B:

If [tex]x = 12[/tex] then

[tex]C (12) = (10.5) (12)\\\\C (12) = 126\\[/tex]

Thus, the cost of 12 shirts will be [tex]C (12) = 126\\[/tex]

Answer:

[tex]C (8) = 84\\\\C (12) = 126\\\\[/tex]


Final answer:

The cost function c(x) = 10.5x, when applied for 8 and 12 t-shirts, indicates that 8 t-shirts will cost $84 and 12 t-shirts will cost $126.

Explanation:

The function c(x) = 10.5x represents the cost to manufacture t-shirts, where x is the number of t-shirts.

Part A: If a club needs 8 t-shirts, we substitute x=8 into the function. Therefore, c(8) = 10.5*8 = 84. Thus, it will cost $84 to manufacture 8 t-shirts.

Part B: If c(12), we substitute x=12 into the function. Therefore, c(12) = 10.5*12 = 126. This means that 12 t-shirts will cost $126.

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Tell the numbers that are odd and prime 2,14,23,24,25,31,45 how does the role of film in society help us understand more about other cultures The original Constitution protected the right to trial by jury. Please select the best answer from the choices provided T F Read the sentence from Barrio Boy by Ernesto Galarza. I pushed a chair under it and after some instruction from my mother proceeded to create lightning in the room by turning the switch as fast as I could. The author uses figurative language to form a picture of flashing light. compare himself to his mother. give human qualities to the light. imagine what the chair looks like. please help its for graduatig!!!!!!!!!!!! Now let's look at an example in a plant cell from a leaf. Use the slider to examine a plant cell before and after the plant was watered with very salty water. After watering with salt water, the plant wilted. Propose an explanation as to why the plant wilted using evidence from the cell diagrams The flag shown represents Quebec's Independence Movement. Who would MOST LIKELY support this movement?A) the Governor of Saskatchewan B) a businessman from San Francisco C) the fisherman living on the coast in Nova Scotia D) a French speaking Catholic member of the Parti Qubcois (can't put the link bc it says it is a swear word) In act III of Hamlet, why did Hamlet choose not to kill Claudius when he was praying? Hamlet felt sorry for Claudius as he heard him pray. Hamlet was unsure whether he could kill Claudius on his own. Hamlet reconsidered making his mother a widow a second time. Hamlet did not want Claudius to go to heaven with a clean soul. Hamlet chose to forgive Claudius after hearing him pray. Which of the following is not a possible value for a probability what is the difference between a round worm and a true worm The ____ identifies an element What did Union General George Meade do that enabled his forces to win at Gettysburg on the third day of battle? He attacked Confederate lines on all fronts. He hit Lee's forces with artillery. He guessed what Lee was going to do. He brought in unexpected reinforcements. .Which of the following is TRUE?It is never okay to disagree with your coach or an officialIt is okay for coaches to make a scene if they disagree with an official because they are in a leadership positionIt is not okay to act inappropriately, physically or vocally, because of a disagreementIt is okay to act out, physically or vocally, if you are in the right A scientist observes rock masses that have moved past each other in opposite horizontal directions. Which feature does the scientist observe? The publication of false and damaging information about a person is referred to as libel. civil disobedience. an infringement. symbolic speech. Determine whether the following number sentences are TRUE or FALSE. Justify your answer 7+5+3+ x = x + 3 + 12 Choose the equation that could be used to solve this problem. The product of a number and 3 is 87. What is the number? A) 3x = 87 B) x + 3 = 87 C) x 3 = 87 D) x 3 = 87 75.602 to nearest tenth Under the Great Compromise, how would the number of representatives in the Senate be determined?A) The number would be determined by the population of each state.B) Each state legislature would determine the number of representatives.C) Each state would be given equal representation..D) The number would be chosen by state governors. what kind of problems need two operations The structure that regulates what enters and leaves the cell is called