The solution of the equation 3(x + 3) = 12 is ?

Answers

Answer 1

Step-by-step explanation:

Hello there!

Solve for x using the distruibutive property:

3(x+3)=12

3x+9=12

3x=3

x=1

:)

Answer 2

Answer:

x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

3x=3

x=1


Related Questions

Find the volume of the triangular prism 3cm 4 cm 5cm 11cm

Answers

Answer:

82.5cm²

Step-by-step explanation:

The volume of a triangular prism is : V = 1/2 * a * c * h

V = 1/2 * 3 * 5 * 11

= 165/2

= 82.5cm²

What is 12:36 written as a ratio in lowest term?

Answers

Answer:

1:3

Step-by-step explanation:

you just need to simplify it

Mr. Parsons wants to build a new banister for the stair case shown. If the
rise of the stairs of a building is 5 ft and the run is 12 ft. What will be the
length of the new banister? *

Answers

Answer:

I think the answer is 13 feet.

9x^2 + 6x -1 =0 (Round to the nearest hundredth)

Answers

9x^2 + 6x = 1
Factor out 3x
3x (3x +2)=1
Use the zero product property
3x=1
3x+2 = 1
X= +1/3 and -1/3


An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
system decreases by about 32%. How much ibuprofen is left after 5 hours?

Answers

Answer:

116.31468544 mg ibuprofen left

Step-by-step explanation:

Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen

After 1 hour

→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left

After 2 hours

→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left

After 3 hours

→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left

After 4 hours

→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left

After 5 hours

→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left

To find the amount of ibuprofen left after 5 hours, the initial 800 mg is multiplied by 0.68 raised to the 5th power, resulting in approximately 115.28 mg remaining.

To calculate the amount of ibuprofen left after 5 hours, we can use the exponential decay formula. Since the amount decreases by 32% each hour, we can represent this as a decay rate of 68% (100% - 32%) remaining each hour. Therefore, the amount of ibuprofen after one hour is 68% of the initial amount, and we can represent this as a multiplication by 0.68 for each passing hour.

The formula to find the amount of ibuprofen left after 5 hours is:

Final amount = initial amount × (0.68)⁵

Using the initial amount of 800 mg and raising 0.68 to the 5th power:

Final amount = 800 mg × 0.68⁵

Final amount = 800 mg × 0.1441

Final amount ≈ 115.28 mg

So, approximately 115.28 mg of ibuprofen is left in the adult's system after 5 hours.

Write an equivalent expression using the distributive property and combining like terms.

5(3x – 2) + x =

Answers

Using the distributive property, you get 16x-10

The table shows whether pupils in a class have school dinners

Boys who have school dinners 6 boys who don't 4

Girls who have school dinners 7 girls who don't 3

What percentage of boys have school dinners=


What percentage of pupils in this class have school dinners

Answers

Answer:

Percentage of boys have school dinners: 60%

Percentage of pupils in this class have school dinners: 65%

Step-by-step explanation:

1. There are: 6+4 = 10 boys in the class ->  corresponding to 100 %

1 boy is corresponding to 100% :10 = 10%

6 in 10 have school dinners -> 10% x 6 = 60%

2. There are 10( boys) + 7 (girls) + 3 (girls) = 20 pupils in the class -> corresponding to 100%

1 pupil is corresponding to 100% : 20 = 5%

There are : 6 + 7 = 13 pupils who have school dinners

13 in 20 have school dinners -> 5% x 13 = 65%

The solution is :

Percentage of boys have school dinners: 60%

Percentage of pupils in this class have school dinners: 65%

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

Boys who have school dinners 6 boys who don't 4

Girls who have school dinners 7 girls who don't 3

so, we get,

1. There are: 6+4 = 10 boys in the class ->  corresponding to 100 %

1 boy is corresponding to 100% :10 = 10%

6 in 10 have school dinners -> 10% x 6 = 60%

2. There are 10( boys) + 7 (girls) + 3 (girls) = 20 pupils in the class -> corresponding to 100%

1 pupil is corresponding to 100% : 20 = 5%

There are : 6 + 7 = 13 pupils who have school dinners

13 in 20 have school dinners -> 5% x 13 = 65%

Hence, The solution is :

Percentage of boys have school dinners: 60%

Percentage of pupils in this class have school dinners: 65%

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A boat leaves the dock and travels 5 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
5 mi
Boat
12 mi

Answers

Answer:

Step-by-step explanation: 13 miles from doc

Answer:

13 miles

Step-by-step explanation:

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

13 = x

Which is 0.54 converted to a simplified fraction?
Ο27/50
Ο54/100
Ο8/11
Ο54/99

Answers

Answer:

27/50

Step-by-step explanation:

0.54 =54/100, 54 and 100 have a common factor of 2, so you can divide by each by 2 and get 27/50

graph the circle (x-1)2+(y-8)2=4

Answers

Answer:

Use desmos graphing calculator

Step-by-step explanation:

Answer:

radius: (1,8)

distance: 2

Step-by-step explanation:

What is 3,828 estimated?

Answers

nearest tenth : 3,830

nearest hundredth: 3,800

nearest thousandth: 4,000

Answer-

Nearest Hundred: 3,828

Nearest Thousand: 4,000
It is close to 4,000.

I hope this helps you!!!!

8. Kane has 4 pieces of wood available to build a triangle-shaped garden.
Which pieces of wood can he use? Select all that apply*
2ft, 3ft, 4ft
2ft, 3ft, 5ft
2ft, 4ft, 5ft
3ft, 4ft, 5ft

Answers

I think is the last one :;:;;::::::)

Using the Triangle Inequality Theorem, we can conclude that the pieces of wood measuring 2ft, 3ft, 4ft, and 3ft, 4ft, 5ft can be used to build a triangle-shaped garden.

To determine which pieces of wood can be used to build a triangle-shaped garden, we need to apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will check each set of wood pieces to see if they fit this criterion.

2ft, 3ft, 4ft: Do these lengths satisfy the Triangle Inequality Theorem? Yes, because 2 + 3 > 4, 2 + 4 > 3, and 3 + 4 > 2.2ft, 3ft, 5ft: Do these lengths satisfy the theorem? No, because 2 + 3 is not greater than 5. Therefore, these cannot form a triangle.2ft, 4ft, 5ft: Do these lengths satisfy the theorem? No, because 2 + 4 is not greater than 5. Therefore, these cannot form a triangle.3ft, 4ft, 5ft: Do these lengths satisfy the theorem? Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Therefore, the pieces of wood that can be used to build a triangle-shaped garden are the ones measuring 2ft, 3ft, 4ft and 3ft, 4ft, 5ft.

The electrical charge on a metal plate is given
by the function below, where t is the time in
seconds. What is the charge after 10 seconds?
C (t) = 12e +15

Answers

Answer:

after 10 seconds  the charge  is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given  by the function below, where t is the time in  seconds. What is the charge after 10 seconds?

C (t) = 12[tex]e^{\frac{-t}{5} }[/tex]

My answer:

Given the information:

C (t) = 12[tex]e^{\frac{-t}{5} }[/tex]  

when t =10 we have:

C (10) = 12[tex]e^{\frac{-10}{5} }[/tex]

<=>  C (10) = 12[tex]e^{-2}[/tex]

<=>  C (10) = 12[tex]\frac{1}{e^{2} }[/tex]

<=> C (10) = 12 * 0.1353

<=>  C (10) = 1.624

Hence, after 10 seconds  the charge  is 1.624

Solve the System of Equations

Problem: You have a small ranch with chickens and goats. There are 80 heads and 216 legs. Find the number of both chickens and goats.

Write 2 equations

Solve the System ( use the substitution method )

Graph both equations (use Desmos or graph by hand)

Answers

Answer:

Equations: [tex]x+y=80\,,\,2x+4y=216\,\,[/tex]

number of chickens = 52

number of goats = 28

Step-by-step explanation:

Given: A small ranch has chickens and goats

Total number of heads = 80

Total number of legs = 216

To find: number of chickens and goats

To draw: the graph

Solution:

Let x denotes number of chickens and y denotes number of goats.

According to the question,

[tex]x+y=80\,\,(i)\\2x+4y=216\,\,(ii)[/tex]

From (i), put [tex]x=80-y[/tex] in (ii)

[tex]2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28[/tex]

Put [tex]y=28[/tex] in equation (i)

[tex]x+28=80\\x=80-28=52[/tex]

So,

number of chickens = 52

number of goats = 28

What does percent mean?

Answers

Answer: A part or other object per hundred. Where a ratio second term is 100.

a part of a object per 100 where the ratio second is 100 also

List the angles in order from smallest to largest.
A) ∠A < ∠B < ∠C
B) ∠B < ∠A < ∠C
C) ∠C < ∠A < ∠B
D) ∠A < ∠C < ∠B

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

C) ∠C < ∠A < ∠B

Step-by-step explanation:

What is the product of 5.61 and 0.15

Answers

Answer:

0.8415 :)

Step-by-step explanation:

Final answer:

To find the product of 5.61 and 0.15, multiply the two numbers to get 2805 and then place the decimal to account for a total of four decimal places in both numbers, resulting in a product of 0.8415.

Explanation:

The product of 5.61 and 0.15 is calculated by simply multiplying the two numbers together. To do this, you can line up the numbers as you would in any multiplication problem, making sure to pay attention to the decimal places:

 5.61
x 0.15
------
2805  (561 * 15)
------

Since there are two decimal places in each number we are multiplying (two in 5.61 and two in 0.15), we need to have a total of four decimal places in the answer. Taking the raw multiplication result of 2805 and inserting the decimal correctly, we get the final answer:

 0.8415

Therefore, the product of 5.61 and 0.15 is 0.8415.

Mr.Samuel planted 40 pepper plants when he began his garden in 2005. Each year the number of pepper plants doubled. The number of plants,f(x),after x years is modeled with an exponential function

Answers

Answer:

[tex]f(x)=40*2^x[/tex]

Step-by-step explanation:

Mr Samuel Planted 40 pepper plants in 2005.

Therefore:

f(0)=40

Each year the number of pepper plants doubled.

In 2006, f(1)=40*2

In 2007, f(2)=40*2*2[tex]=40*2^2[/tex]

In 2008, f(3)=40*2*2*2[tex]=40*2^3[/tex]

If we continue in like manner. The number of pepper plants after x years will be given by the exponential function:

[tex]f(x)=40*2^x[/tex]

where 40 is the initial number and 2 is the growth factor.

Can someone give me the answer

Answers

Answer:

C

Step-by-step explanation:

The T shape is composed of 2 rectangles.

Area of top rectangle = 20 × 4 = 80 cm²

Area of upright triangle = 16 × 6 = 96 cm²

Total area = 80 + 96 = 176 cm² → C

Roy has a bag containing green, blue, red, brown, and black marbles. He randomly picks a marble and replaces it. He repeats this experiment 60 times and records the results in this table.

Answers

Answer:

Green: 0.3

Blue: 0.1

Red: 0.35

Brown: 0.15

Black: 0.1

cannot

Step-by-step explanation:

Hi, thank you for posting your question here in Brainly.

To find the probability of an event, you have to divide the number of trials of that event that succeeded to the total number of trials. Based on that definition, the probability would be 18/60=0.3, 6/60=0.1, 21/60=0.35, 9/60=0.15, 6/60=0.1

I hope i helped you out and helped you learn something new :)

Answer:

0.3

0.1

0.35

0.15

0.1

Cannot

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

I Did The Test <3

Determine the weight for each animal and their total combined weight?

Answers

Answer:

Cat-5

Bunny-5

Dog-16

Step-by-step explanation:

Also doggo is de cutest :3

Also dats mah guess I tried mah best Im sorry if I got it wrong :(

But can I PLEASE get brainliest????

Final answer:

To determine the weight for each animal and their total combined weight, you would need to know the weight of each individual animal. Let's say we have three animals: a lion weighing 200 pounds, a zebra weighing 300 pounds, and a giraffe weighing 500 pounds. To find their total combined weight, you simply add up their weights: 200 + 300 + 500 = 1000 pounds.

Explanation:

To determine the weight for each animal and their total combined weight, you would need to know the weight of each individual animal. Let's say we have three animals: a lion weighing 200 pounds, a zebra weighing 300 pounds, and a giraffe weighing 500 pounds.

To find their total combined weight, you simply add up their weights: 200 + 300 + 500 = 1000 pounds.

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A total of 330 tickets were sold for the school play. They were adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

223 tickets were sold

Answer:

there were 110 adult tickets sold and 220 students tickets sold

Step-by-step explanation:

a+s=330

2a=s

a+2a=330

3a=330

330/3=a

110=a

330-110=s

s=220

1, 1/5, 1/25,1/125 what’s the next number

Answers

Answer:

1/625

Step-by-step explanation:

As you can tell, the order is going by 1/5 times the number of how many times it was done

Answer:

1/625

Step-by-step explanation:

1/5(5) =1/25(25)=1/125(125)=1/625

You roll a six-sided die twice. What is the probability of rolling a number divisible by 2 and then a number divisible by 3?

Answers

If I am rolling a single dice what is the probability of rolling a number that is divisible by 2 and 3? The only number divisible by 2 and 3 is 6. So, would the answer be 1 out 6 or 1/6

Answer:

1/6

Step-by-step explanation:

A school district is conducting a survey regarding the effectiveness of its teachers. A random sample of 100 students from the district
are chosen to complete the survey.
Identify the population
A. The population is all teachers employed by the school district.
B. The population is all students enrolled in the school district.
C. The population is the administration
D. The population is all teachers employed by the school district and all students enrolled in the district.
E. The population is the 100 randomly selected students.

Answers

Answer:

Step-by-step explanation:

the population is all students enrolled in the school district

Answer:

the population is all students enrolled in the school district

Step-by-step explanation:

One student solved the inequality −4 > x −7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.

Answers

Answer:

Yes they are both correct

Step-by-step explanation:

Answer:

Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently. In each case, the variable, x, is by itself. Both solutions say that x is the larger expression.

Step-by-step explanation:

that was the sample response

Solve for x. Assume that lines which appear to be tangent are tangent.

Answers

Answer:

C. 2

Step-by-step explanation:

8x-1=7x+1

subtract 7x from both sides

x-1=1

add 1 to both sides

x=2

Answer:

C. 2

Step-by-step explanation:

8x-1=7x+1

subtract 7x from both sides

x-1=1

add 1 to both sides

x=2

A cone and a cylinder have the same base and height, as shown below.
The volume of the cylinder is 84 sin? What can be concluded about the volume of the cone? Check all that apply
The volume of the cone is
the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder

Answers

Answer:

The volume of the cone is less than the volume of the cylinder .

Cone volume is 1/3 the volume of cylinder volume

Step-by-step explanation:

We can see from the volume formulas:

for cone volume V = (1/3)*(pi)*(r^2)*h

for cylinder volume C = (pi)*(r^2)*h

for equal base and height,  C = 3*V

The volume of the cone is less than the volume of the cylinder .

Cone volume is 1/3 the volume of cylinder volume

The correct answers are:

A) The volume of the cone is 1/3 the volume of the cylinder.

C) The volume of the cone is less than the volume of the cylinder.

 D) The expression 84(pi)/3 finds the volume of the cone.

I just took the quiz on edge

Julio says, "If you subtract 19 from my number and multiply the difference by -6, the result is -30." What is Julio's number?

Answers

the answer is 24

explanation:

x - 19 = y

-6y = -30
y = -30 ÷ -6 = 5

by substituting in the first equation
x -19 = y
x - 19 = 5
x = 5 + 19 = 24

helppppppppppppppppppppppppppppp

Answers

Answer:

942 cm³.

Step-by-step explanation:

To find the volume of the cone, we will need to use the formula: [tex]\frac{1}{3}[/tex]bh.

To find the base, we simply need to find the area of the circle. This is done by using: [tex]\pi r[/tex]².

From this, we get a base area of ≈314 cm².

Now, to find the volume of the cone, we, multiply by the height giving us:

314×9= 2826.

Finally, the last step is to multiply this by [tex]\frac{1}{3}[/tex], resulting in:

2826×[tex]\frac{1}{3}[/tex]= 942.

Therefore,  942 cm³ is the correct answer.

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