[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
find x please

Answers

Answer 1

Answer:

x=21/2

Step-by-step explanation:

5(x+3)=6(12+x/2)

Distribute the 5.

5x+15=6(12+x/2)

Reduce the numbers with the greatest common factor 2.

5x+15=3(12+x)

Distribute the 3.

5x+15=36+3x

Move the variable to the left-hand side and change the sign.

5x+15-3x=36

Collect like terms.

2x=36-15

2x=21

Divide 2 on both sides

x=21/2

Hope this helps :)

Answer 2

Answer:

x = 10.5

Step-by-step explanation:

5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides

5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )

2x + 15 = 36 ( subtract 15 from both sides )

2x = 21 ( divide both sides by 2 )

x = 10.5


Related Questions

The video suggests you consider these 4 things before deciding to take out a loan: Is it necessary? Do the monthly payments fit in your budget? Could you save instead of borrow? Is it worth the added interest?

1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, would that loan meet the requirements?

Answers

Answer:

The requirements for taking out a loan tend to be very strict, and therefore, an impressive internship program would not be something that can meet the requirements to obtain a loan of $6500.

Step-by-step explanation:

1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, that loan would not meet the requirements.

Is it necessary?

No, travelling can be done by other means.

Do the monthly payments fit in your budget?

Maybe

Could you save instead of borrow?

Yes saving for the whole year is better than borrow.

Is it worth the added interest?

No, its not worth the added interest.

All of the answers indicate that the loan does not meet the requirements.

Paying a huge amount of interest for something which is not that necessary is useless.

https://brainly.com/question/1658653

https://brainly.com/question/9302251

identify the proportional relationship.

1. y = x + 2
2. y = -x
3. x = 2
4. y = -2x - 1

Answers

Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.

(x^2+ 6x + 9) / (x-3)

Answers

Answer:

Simplify:

[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]

Factoring:

[tex] {x}^{2} + 6x + 9[/tex]

The first term is, x2 its coefficient is 1 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3

[tex] {x}^{2} + 3x + 3x + 9[/tex]

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

3 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x+3)

Which is the desired factorization.

Multiply (x+3) by (x+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]

and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]

The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]

A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.

Answers

Step-by-step explanation:

So we are given 2 coordinates.

so in a linear equation, we have the given function:

y=mx+b

thus we should have an x value and a y value.

So let's set x to be the hours and y be the cost

With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2

so with that being said,

7.75-5.5/7-4=m

2.25/3=m

.75=m

This is our slope.

Our formula will look like this: y=0.75x

Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked

y=0.75(3)

y=2.25

The cost to park for 3 hours will be $2.25

Hope This Helps :D

I need help on this pls

Answers

[1] Complementary means the angles will add up to 90 degrees

 () Blank one is BOC

 () Blank two is 90

 () Reason blank I am unsure as I do not know the wording that is being looked for, but it is either "given," "complementary angles" or something similar

[2] Since AOC is equal too BOC + 30, we can decide the following is true

 () First blank is BOC

 () Second blank is 30

[3] 30°

 () BOC + BOC + 30 = 90 [Given]

    2(BOC) = 60 [Subtract 30 from both sides & combine like terms]

    BOC = 30 [Divide by 2]

[4] 60°

 () 90 - 30 = 60

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Help I’ll give brainylist in return thank you

Answers

Answer:

They are similar by AA

Step-by-step explanation:

Angle B and C are similar as well as angle ABE and DCE are similar

A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?

Answers

Step-by-step explanation:

4 1/2 = 9/2

so, the calculation is simply how often 3/4 fits into 9/2.

and that is done by division :

9/2 / 3/4

and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.

so,

9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6

so, without any breaks the teacher can schedule 6 lessons each night.

A true/false test consists of 100 questions. A student knows the correct answer to 40 of the questions. She guesses each of the other answers independently based on the toss of a coin.

Answers

Answer:

whats the question

Step-by-step explanation:

just started algebra ​

Answers

Answer:

thats really great! its simple!

Great! How about your question?

6-2/3(x+5)=4x solve for x

Answers

Answer:

3x^2+15x-1=0

Step-by-step explanation:

4/(3x+15)=4x

4=12x^2+60x

12x^2+60x-4=0

3x^2+15x-1=0

Please solve after that, I cannot do everything for you

PLSSS HELP WIL REWARD BRAINLIEST!!

Answers

You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.

find the measure of the indicated angle that makes lines u and v parallel

Answers

Answer:

55 degrees

Step-by-step explanation:

if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55

Question.[Mathematics]

6³ + 6³ = ​

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex] = 432[/tex]

Step-by-step explanation:

[tex] {6}^{3} + {6}^{3} [/tex]

collect like terms

[tex]2 \times {6}^{3} [/tex]

evaluate the power

[tex]2 \times 216[/tex]

multiply the number

[tex] = 432[/tex]

hope it helps

[tex] \: \: \: \: \: \: [/tex]

6^3(6•6•6)=6•6=
36•6=216
6^3(6•6•6)=6•6=
36•6=216
216+216= 432

1. ) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

710

Step-by-step explanation:

81+74+72+66+67+72+66+66+72+65+71= 701

701 rounded to the nearest tenth is 710

Identify the errors in the image.
Mosquito Life Cycle
2021 Edmentum. All rights reserved. growth and development of organisms master test!!


A. the egg stage is missing


B. the mosquito transforms into a butterfly

C. the pupal stage should come after the larval stage

D. there is no metamorphosis

Answers

Answer:

B. the mosquito transforms into a butterfly

Step-by-step explanation:

Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.

I hope this was incredibly helpful! Tell me if you need any further assistance...

( :

2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast

Answers

Answer:

22.22%

Step-by-step explanation:

2/7 = 0.22222...

Convert to a percent - move decimal over by 2

22.22

Answer:

≈ 28.57%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , that is

[tex]\frac{2}{7}[/tex] × 100%

= [tex]\frac{2(100)}{7}[/tex]

= [tex]\frac{200}{7}[/tex]

≈ 28.57% ( to 2 dec. places )

if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)

Answers

Answer:

u = 20, v = 1

Step-by-step explanation:

Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.

Therefore:

[tex]v+23=u+4\\19v+41=2u+20[/tex]

Now, you can simply solve the system of equations for v and u.

I will solve by substitution:

[tex]v+23=u+4\\v=u-19[/tex]

Now, plug that into the other equation:

[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]

Finally, plug that back into the first equation:

[tex]v+23=20+4\\v+23=24\\v=1[/tex]

u = 20, v = 1

Which direction does the decimal point move in when you divide by powers of 10 greater than 0?

Answers

Answer:

the left side is the answer

the decimal point will move towards right

A closed circular cylinder has a diameter of 21 cm and height of 14.5 cm find it total surface area

Answers

Answer:

this is the correct answer happy


The company made $700,000 the first quarter and $343,000 the second
quarter. Which shows the change from the first quarter to the second
quarter?

a) –357,000
B) 357,000-
C) 357,000+
D) +357,000

Hi! i need help, can someone help me please

Answers

Answer:

b

Step-by-step explanation:

The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.

Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

The difference in money made by company from first quarter to second is

700,000-343,000

= +357,000

Therefore, the correct answer is option D.

Learn more about the subtraction here:

brainly.com/question/2346316.

#SPJ4

Maria’s monthly bank statement showed the following deposits and withdrawals:

-$25.20, $52.75, -$22.04, -$8.50, $94.11

If Maria’s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month?
Please do a step by step explanation

Answers

$47.86 - $25.20 = $22.66

$22.66 + $52.75 = $75.41

$75.41 - $22.04 = $53.37

$53.37 - $8.50 = $44.87

$44.87 + $94.11 = $138.98

answer is $138.98

Enter a digit in each box to complete the addition problem

Answers

Answer:

4.5 + 19.75 = 24.25

Find your missing digits with the equation above

HELPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer

If sin(0) > 0, then in which quadrants could 0 lie? Select all correct answers.

Select all that apply:

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

Which is the better buy in each problem??

Answers

Answer:

1 - quarts of juice for 5.82 (the first one)

2 - 9.84 for a 12 pack of batteries (the second one)

3 - 24-pack of pencils for 2.64 (the first one)

4 - $2.46 for a 12-ounce jar of jam (the first one)

Step-by-step explanation:

Have a nice day

3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?

Answers

The volume of the box is the amount of space in it.

The dimension of the postcard is:

[tex]\mathbf{Length = 10}[/tex]

[tex]\mathbf{Width = 18}[/tex]

Let x represents the length of the cut.

So, the dimension of the box is:

[tex]\mathbf{Length = 10 -2x}[/tex]

[tex]\mathbf{Width = 18 -2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

(a) The function that represents the volume of the box

This is calculated as:

[tex]\mathbf{V(x) = Length \times Width \times Height}[/tex]

So, we have:

[tex]\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}[/tex]

Expand

[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]

Hence, the volume function is: [tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]

(b) The dimension that maximizes the volume

We have:

[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]

Differentiate

[tex]\mathbf{V'(x) = 180- 112x + 12x^2}[/tex]

Set to 0

[tex]\mathbf{180- 112x + 12x^2 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{x = 7.3,2.1}[/tex]

The value x = 7.3 is greater than the dimension of the box.

So, we have:

[tex]\mathbf{x = 2.1}[/tex]

Recall that:

[tex]\mathbf{Length = 10 -2x}[/tex]

[tex]\mathbf{Width = 18 -2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, we have:

[tex]\mathbf{Length = 10 -2 \times 2.1 = 5.8}[/tex]

[tex]\mathbf{Width = 18 -2 \times 2.1 = 13.8}[/tex]

[tex]\mathbf{Height = 2.1}[/tex]

Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1

(c) The maximum volume

This is calculated as the product of the dimension of the box

So, we have:

[tex]\mathbf{Volume = 5.8 \times 13.8 \times 2.1}[/tex]

[tex]\mathbf{Volume = 168.1}[/tex]

Hence, the maximum volume of the box is 168.1 cubic inches

Read more about volumes at:

https://brainly.com/question/17056191

please give me the correct answer. T^T

Answers

Answer:

All pairs of corresponding sides are congruent

Step-by-step explanation:

∠A≅∠D

∠B≅∠E

∠C≅∠F

Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).

Answers

16-8=8

Step-by-step explanation:

16 - 8 = x
That what be the suitable answer, x standing for the pencils that stayed in the box

The area of a rectangle is 60 square inches.

The length is x – 3, and the width is x + 8.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

X=7 because 7-3 = 4, 7+8= 15,15x4=60.

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