Solve the following equation:
12(b+2)+3b=−1
Enter your answer as a fraction.
Answer: -5/3
Step-by-step explanation:
12(b + 2) + 3b = -1
12b + 24 + 3b = -1
15b + 24 = -1
15b = -1-24
b = -25/15 = -5/3
The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.
What is the solution to the given equation?Given the equation in the question:
12( b + 2 ) + 3b = -1
To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.
Distribute the 12 across the terms inside the parentheses:
12( b + 2 ) + 3b = -1
12×b + 12×2 + 3b = -1
Simplifying, we get:
12b + 24 + 3b = -1
Collect and combine the like terms on the left side of the equation:
12b + 3b + 24 = -1
15b + 24 = -1
Subtract 24 from both sides of the equation:
15b + 24 - 24 = -1 - 24
15b = -1 - 24
15b = -25
Divide both sides by 15:
b = -25/15
Simplify
b = -5/3
Therefore, the value of b is -5/3.
Learn more about equations here: brainly.com/question/14686792
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I need help with this please ASAP!!!
Answer:
11.3
Step-by-step explanation:
i used the theorem of Pythagoras
Answer:
11.3
Step-by-step explanation:
In a right angled triangle: the square of the hypotenuse is equal to
the sum of the squares of the other two sides.
[tex]8^{2} + 8^{2} = x^{2}[/tex] (x is the hypotenuse)
64 + 64 = [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 128
=> x = [tex]\sqrt{128}[/tex] = 11.3137085 = 11.3
Jaira is having pizza for her birthday party. She can make two small pizzas, each with a radius of 6 inches, or one large pizza with a radius of 12 inches. Which option will give her more square inches of pizza?
Answer: One large pizza with a radius of 12 inches
Step-by-step explanation:
Hi, to answer this question we have to calculate the area of each option.
Area of a circle: π r^2
Option 1: two small pizzas, each with a radius of 6 inches.A = π r^2 = π 6^2 = 113.1 in2
Since there are 2 small pizzas we have to multiply the area by 2:
113.2 x 2 = 226.2 in2
Option2 = one large pizza with a radius of 12 inchesA = π r^2 = π 12^2 = 452.38 in2
Since 452.38 in2 > 113.1 in2
Option 2 (one large pizza) will give her more square inches of pizza
Feel free to ask for more if needed or if you did not understand something.
What is the twentieth term of the arithmetic sequence described by the
equation an= 3n - 10?
Answer:
The twentieth term is 50.
Step-by-step explanation:
The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:
a1 = 3*1 - 10
a1 = -7
Therefore to find the twentieth term we need to make n equal to 20. This is done below:
a20 = 3*20 - 10
a20 = 60 - 10
a20 = 50
The twentieth term is 50.
HURRY PLEASE!! WILL MARK THE BRAINLIEST
Which of the following are factors of the
polynomial?
Answer:
All of the above
Step-by-step explanation:
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.
Sorry if its blurry im on my laptop
Answer:
Step-by-step explanation:
1 in=2 ft
Bedroom 1
scale
17.5 in ×12.5in
actual
(17.5×2)×(12.5×2)
or
35 ft×25 ft
Living Room
scale
17.5 in×17.5 in
actual
35 ft×35 ft
Bathroom 1
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Kitchen
scale
17.5 in ×12.5 in
actual
35 ft×35 ft
Bedroom2
scale
12.5 in ×12.5 in
actual
25 ft×25 ft
Entryway
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Bathroom 2
scale
12.5 in×5 in
actual
25 ft×10 ft
which of the following means the same as 2 (3x - 4)
1. 5x - 8
2. 5x - 4
3. 6x - 8
4. 6x - 4
Answer:
6x -8
Step-by-step explanation:
2 (3x - 4)
Distribute
2*3x - 2*4
6x -8
A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?
A. 2/25
B. 1/5
C. 1/4
D. 2/5
Answer:
b. 1/5
Step-by-step explanation:
10/50 = 1/5
PLS HELP!! AND HURRY!! Find an expression for the nth term (tn) in each of the following sequence:
2, 6, 10, 14, 18…
Answer:
For the expression they are adding by 4.
Step-by-step explanation:
2+4=6, 6+4=10, 10+4=14, 14+4=18, 18+4=22, and it goes on and on.
Math question down below
Answer:
c.
Step-by-step explanation:
10.98/2=5.49
16.19/3=5.40
21.15/4=5.29
26.85/5=5.37
If p stands for "this meal is delicious
Answer:
I don't understand.......
Choose the appropriate plan letter for each question
Plan____ has the lowest range
Plan____ has the highest y intercept
Plan___ is the plane that is the best value
c is the lowest range
a has the highest y incerpt
d is the best value
An in-ground swimming pool is meters long, meters wide, and meters deep. The water-resistant paint needed for the pool costs $ per square meter. Step by step.
1. How many sides of the pool do you have to paint?
2. How much paint (in square meters) do you need to paint the pool?
3. How much will it cost to paint the pool?
4. How much water will the pool hold?
Answer:
Step-by-step explanation:
I'm going to assume you meant to put numbers in the question, but I will answer in terms of x, y, and z, for length, width, and depth, respectively.
1. You need to pain 4 walls as well as the floor, so 5 surfaces total.
2. This question is asking for the surface area of the pool. There is 1 floor, 2 long walls and 2 wide walls.
Surface Area = 2 (wide) + 2 (long) + 1 (floor)
= 2(x*z) + 2(y*z) + 1(x*y)
*remember to answer in meters squared*
3. Total Cost = (surface area) * (cost per square meter)
*remember this is in dollars*
4. This question is asking about the volume of the pool:
Volume = x*y*z
Arun’s restaurant bill is $58, and he wants to leave the waiter an 18 percent tip. What will Arun’s total bill be? $10.44 $47.56 $68.44 $76.00
Answer:
$68.44 will be the total bill.
Step-by-step explanation:
18/100 = .18
58 x .18 = 10.44
58 + 10.44 = 68.44
:)
Answer:
It would be 68.44
Step-by-step explanation:
What you do is you multiply 58 by .18. it should come out to 10.44. Once you do that, you add the $58 dollar check with the 10.44 tip and the answer is 68.44!!
Math question down below
Answer:
6 and 3/4
Step-by-step explanation:
add all of the ones before 2 1/2
12. Use the graph of f(x) to find the solutions to the equation f(x)=0 (1 point)
two solutions: r= -10,2
two solutions: x = 10.-2
one solution: x= 10
no solutions
will the answer to 3 × 6 be even or odd?
Calculate the volume of the figure. Use 3.14 for π.
Enter your answer as the number of m3, rounded to the nearest hundredth if necessary, like this: 42.53
Answer:
[tex]586.13\,\,m^3[/tex]
Step-by-step explanation:
Given: Figure
To find: Volume of the figure
Solution:
The given figure is composed of two shapes:cylinder and hemisphere
Radius of cylinder = 4 m
Height of cylinder = 9 m
Volume of cylinder = [tex]\pi (radius)^2height=\pi (4)^2(9)=3.14(16)(9)=452.16\,\,m^3[/tex]
Volume of hemisphere = [tex]\frac{2}{3}\pi (radius)^3=\frac{2}{3}(3.14)(4)^3= \frac{2}{3}(3.14)(64)=133.9733\,\,m^3[/tex]
So,
total volume of the figure = Volume of cylinder + Volume of hemisphere = 452.16 + 133.97 =586.1333 [tex]m^3[/tex]
If 586.1333 is rounded to the nearest hundredth, it becomes 586.13 [tex]m^3[/tex]
Answer:
586.13 is the answer
Step-by-step explanation:
Find the slope of this line: y=2x+7
Answer:
The slope is 2
Step-by-step explanation:
Y = mx+b y = mx+b is the shape of the slope-intercept where m is the slope.
Answer:
Slope = 2
Step-by-step explanation:
y=mx+b, in which m is the slope. Whatever number is paired with x is the slope.
DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?
130,000
131,404
128,000
399,876
Answer:
c
Step-by-step explanation:
Answer:
399,876
Step-by-step explanation:
So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.
What is the solution to Negative 1 minus 7? A number line going from negative 10 to positive 10. –8 –6 6 8
Answer:
-8
Step-by-step explanation:
plug it into a calculator. its taking 7 away from an already negative number.
Answer:
-8 correct me if im wrong
Step-by-step explanation:
What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?
Answer:
24 cm²
Step-by-step explanation:
The area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is
A = 0.5 × 6 × 8 = 24 cm²
V2 is between what two consecutive integers?
0 and 1
1 and 2
2 and 3
4 and 5
Answer:
0 & 1.
Step-by-step explanation:
√2 = 1.41421356237
help please!
-x - (-15) + -3.5x + 15
Answer: -4.5x + 30
Step-by-step explanation:
Simplify.
-x- (-15) - 3.5x +15
Remove parentheses.
-x + 15 -3.5x + 15
Collect like terms.
(−x−3.5x)+(15+15)
Simplify.
-4.5x + 30
Which of the following equations is never true?
A. a^2 = -25
B. x^2 = 16
C. y + 4 = 10
D. 2x = 7
Answer: A. a² = -25
Step-by-step explanation:
The square of a number can never be negative and as such a² ≠ - 25.
Proof of this is that the √-25 = 5i (aka an imaginary number).
Which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6, __________
Answer:
36h6
Step-by-step explanation:
Answer:
48h^5
Step-by-step explanation:
what is the volume of the square pyramid ?
A. 2530 cubic feet
B. 10,240 cubic feet
C. 11,605.3 cubic feet
D. 30,720 cubic feet
(50 points)
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The volume of a square pyramid is [tex]\frac{a^2h}{3}[/tex], where a is the base edge and h is the height. Substituting in these values we get 10240.
Which function has a domain of x>3?
Answer:
The answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Function (c) has a domain of x ≥ 3. (Your " >3" does not match the problem statement.)
Justification: for x ≥ 3, the quantity under the radical sign is ≥ 0, as it must be.
Show the Euler-Descartes formula holds for the Great Pyramid of Cheops
Answer:
For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula
Step-by-step explanation:
The great pyramid of Cheops is a square based pyramid therefore we have;
V + F = E + 2
Where:
V = Vertices
F = Faces
E = Edges
Hence, we have for a square pyramid;
V = 5 vertices (One at the peak, and four at the base edges)
F = 5 faces (The four lateral or side faces and the base)
E = 8 edges ( The four lateral edges and the four base edges)
Hence;
5 + 5 = 8 + 2 which proves Euler-Descartes formula.
solve for X, will give you brainliest and a like
Answer
Step-by-step explanation:
One solution :
x = -1/3 = -0.333
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-5*(3*x+1)+4*x-(10*x+2)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((0 - 5 • (3x + 1)) + 4x) - (10x + 2) = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-21x - 7 = -7 • (3x + 1)
Equation at the end of step 3 :
-7 • (3x + 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : -7 = 0
