Solve the equation: 12(x + 8) = 11x - 5 What is the solution?

Answers

Answer 1

Answer:

We conclude that the solution is:

[tex]x = -101[/tex]

Step-by-step explanation:

Given the equation

[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]

Expand 12(x + 8):  12x + 96

[tex]12x+96=11x-5[/tex]

Subtract 96 from both sides

[tex]12x+96-96=11x-5-96[/tex]

Simplify

[tex]12x=11x-101[/tex]

Subtract 11x from both sides

[tex]12x-11x=11x-101-11x[/tex]

Simplify

[tex]x=-101[/tex]

Therefore, we conclude that the solution is:

[tex]x = -101[/tex]

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1ho 5 min å hull the​

Answers

yep yep yep yep yep yep

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info

Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm​

Answers

The area of the triangle ABC is 34.2 square centimeters

How to determine the triangle area?

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Solve for all values of c in simplest form.
|4-c| = 7

Answers

Answer:

Step-by-step explanation:

|4-c| = 7

4-c = ±7

c = 4 ∓ 7 = -3, 11

c=3
explanation: 4-3 is equal to -7 and those lines make the number positive

Solve:
3х + y =
5x-7
when , y = 5
Show
your work

Answers

Answer: x=6

Step-by-step explanation:

Hope this helps

can somebody help? marking brainliest:)

Answers

Answer:

23/16

Step-by-step explanation:

23/16+1/16=24/16=3/2

f (x) = 13[tex]\sqrt[3]{x}[/tex] power function yes or no
if yes where is k and p

Answers

Answer:

f =

x = 13 = x

k = x

p = x

Step-by-step explanation:

Please help 3/4
Solve the binomial
(2ab-3c)(2ab+3c)

Answers

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

Which net represents this solid figure?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Answer:

The second net.

Step-by-step explanation:

how do i find a slope

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

To the find slope in slope-intercept form (y=mx+b) you just find the m of the equation for example: y=4x+8 the 4 is the slope since it is replacing the m

To find the slope in two points (x1,y1) (x2,y2) follow this formula

y2-y1/x2-x1

For example: Find the slope of (4,9) and (9,19)

19-9/9-4 Which is 10/5 simplify: 2

The slope is 2

Step-by-step explanation:

HELPPPPPP!!!!! ASAPPPPP!!!!

Answers

Answer:

c.

Step-by-step explanation:

hopes this helps

I think it’s C not sure

Find (fxg)(a)?thanks !!

Answers

Answer:

12a^2+13a+3

explanation:

multiply:

(3a+1)(4a+3)=(fxg)

12a^2+13a+3

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
many people there are in total.

Answers

Answer:  72 people total

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

The people there are in total of 72 students

Let the ratio of boys to girls be 5x: 3x

The ratio of boys to girls in a group is 5:3.

What is the formula?

no. of boys = 18 + no. of girls

=> 5x = 18 + 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

x= 9

No. of boys = 5x

No. of boys= 5 × 9

No. of boys= 45

No. of girls = 3x

No. of girls= 3 × 9

No. of girls= 27

Total = 45 + 27

Total= 72

Hence, there are 72 students there.

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Tell me ASAP plz!! Btw Patsy’s Pasta house uses 3/4 of a cup of sauce for every 12 ounces of pasta...good luck

Answers

Answer:

4/6

Step-by-step explanation:

60 POINTS!!!!

Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?

Explanation would be appreciated!

Answers

Let r represents our age, m mother's age, f father's age. If mother is 25 years older than us, I+ 25 = m

If father is 3 years older than mother,

m +3 = f

The product of all three ages is 32130:

I-m.f = 32130

Substitute m with r+ 25:

m+3 =f r+ 25 + 3 = f r+ 28 = f

Substitute now f and m:

I- m.f = 32130 x(x+ 25)(x + 28) = 32130 (a2 + 25x)(x + 28) = 32130 3 + 28r2 + 25r + 700r = 32130 3 + 53r2 + 700r = 32130

Subtract 32130 from each side 3 + 53? + 700r – 32130 = 0

On the graph we can see that the only real solution is 17. > x = 17 m = 25 + 17 m = 42 f = m + 3 f = 42 + 3 f =|45

Our age is 17, Mother's age is 42 and father's age is 45.

Father’s age is 45

( sorry I know it’s too long but hope it helps )

My father is 42 years old as obtained from the cubic polynomial's real root.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

let my age be x years.

So, My mother is (x + 25) and my father is (x + 28) years.

{x(x + 25)(x + 28) = 32130.

(x² + 25x)(x + 28) = 32130.

x³ + 53x² + 700x = 32130.

x³ + 53x² + 700x - 32130 = 0.

Now solving this has only one real solution x = 17.

So, My father is (17 + 25) = 42 years old.

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Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.

Answers

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

The difference between a number and its square is 20. Find the
numbers.​

Answers

Answer:

-4 or 5

Step-by-step explanation:

let number be x

x²-x=20

Rearrange

x²-x-20=0

(x+4)(x-5)=0

Separate

x+4=0, x-5=0

x=-4 or 5

Write three hundred eighty-seven thousandths as a decimal number.

Answers

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

Tony made a scale drawing of his living room. The scale drawing has a length of 5 inches and a width of 3 inches. If the living room has an actual length of 12 feet, which equation could be used to determine w, the width of the living room?

Answers

Answer:5w=36

Step-by-step explanation:

what is 4x-7y=3
x-7y=-15

Answers

Answer:

0 i think if im wrong im sorry

Step-by-step explanation:

Answer:

The answer is x=6, y=3

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15

Simplify.

−4x+7y=−3x−7y=−15

Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18

Divide each term by −3 and simplify.

x = 6

Substitute the value found for x into one of the original equations, then solve for y.

y = 3

The solution to the independent system of equations can be represented as a point.(6,3)

The result can be shown in multiple forms.

Point Form: (6,3)

Equation Form: x=6, y=3

Please help!!! Thank you so much!!

Answers

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

51^7 -51^6 by 25
__*25

Answers

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?

Answers

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4

Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces​

Answers

Answer:

25

Step-by-step explanation:

Do 400 divided by 16 to convert to pounds

400/16=25

Hope this helped :)

Answer:

25 pounds

Step-by-step explanation:

1 Pound=16 ounces

? Pounds=400 ounces

400 divided by 16=25

25 pounds=400 ounces

3n + 8 = 53
I don’t understand how to find the n

Answers

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.

Answers

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

pls hurry will give brainliest

Answers

Answer:

Step-by-step explanation:

6(k + 2) + 1 = 13 (distribute 6 around the k+2)

6k + 12 + 1 = 13 (add 12 and 1)

6k + 13 = 13 (subtract 13 from both sides)

6k = 0 (divide by 6)

k = 0

Answer:

6( k + 2 ) + 1 = 13

6k + 12 + 1 = 13

6k + 13 = 13

6k = 0

k = 0/6

so it will 0

can someone help meeee

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

express in exponential form 200×75​

Answers

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

PLEASE HELP PLESAE!!!!!!
Evaluate the expression when b=6 and y =-7

-b+9y

Answers

Answer:

-69

Step-by-step explanation:

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