Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3 - 2x = -1.5x
Step 2: Solve for x
Add 2x on both sides: 3 = 0.5xDivide 0.5 on both sides: 6 = xRewrite: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3 - 2(6) = -1.5(6)Multiply: 3 - 12 = -9Subtract: -9 = -9Here we see that -9 does indeed equal -9.
∴ x = 6 is the solution to the equation.
Answer:
x= 6
Step-by-step explanation:
3-2x= -1.5x
-3 -3
-2x= -1.5x - 3
+1.5x +1.5x
-.5x= -3
divide both sides by -.5
x = 6
The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 2000 the population had grown to 18400. Predict the population of rabbits in the year 2009, to the nearest whole number.
Answer:
49243
Step-by-step explanation:
Given that the population of rabbits on an island is growing exponentially.
Let the population, [tex]P=P_0e^{bt}[/tex]
where, [tex]P_0[/tex] and b are constants, t=(Current year -1994) is the time in years from 1994.
In 1994, t=0, the population of rabbit, P=9600, so
[tex]9600=P_0e^{b\times 0}[/tex]
So, [tex]P_0=9600[/tex]
and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400
[tex]18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\[/tex]
[tex]\ln(23/12}=6b \\\\[/tex]
[tex]b = \frac{\ln{1.92}}{6} \\\\[/tex]
b=0.109
On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is
[tex]P=9600 \times e^{0.109\times t}[/tex]
In 2009, t= 2009-1994=15 years,
So, the population of the rabbit in 2009
[tex]P=9600 \times e^{0.109\times 15}=49243[/tex]
Hence, the population of the rabbit in 2009 is 49243.
84x + 12y = 9,612
1126x + 21y = 13,643
{126
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X=
Y=
Answer:
Hello you are a b**ch
Step-by-step explanation:
I just want some points thanks.
Part A: The x-intercepts of the graph are (-2, 0) and (2.5, 0). 2x² - x - 10 = 0 2x² - 5x + 4x - 10 = 0 x(2x - 5) + 2(2x - 5) = 0 (x + 2)(2x - 5) = 0 x = -2, 5/2 or 2.5 Part B: The vertex is going to be the minimum of the function. The coordinates are (0.25, -10.125). Vertex = (h,k) h = midpoint of the x-intercepts (because of symmetry) h = (-2 + 5/2) = 1/4 k = f(1/4) k = 2(1/4)² - 1/4 - 10 = -81/8 Vertex: (0.25, -10.125). y-intercept: when x = 0 2(0)² - 0 - 10 = -10 Part C: To graph f(x), I would draw a line connecting the x-intercepts, vertex and the y-intercept using the points (-2,0), (0,-10), (0.25, -10.125) and (2.5,0). These points are the answers from part A and B and that is why I can use them to draw the graph.
Answer:
um thats an awnser.....?
Step-by-step explanation:
How many solutions does the following equation have?
4(5 - 2v) =4 - 8(v-2)
2)
(A) 1 solution
(B) No solutions
(C) Infinite Solutions
A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.
Answer:
so it 15
Step-by-step explanation:
I need help with this question. Thank you so much!
Answer:
D. -5
Step-by-step explanation:
helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee
Answer: I think the answer is x = 4
Step-by-step explanation: 28 = 7x
/7 /7
4 = x
Pls help someone my brain is about to explode
Answer:
It has to be the third option.
Happy to help :)
Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....
Answer: The last choice, 2x + 3y = 10
Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.
A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is
By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.
The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.
How to find the type of triangle?
By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,
For a triangle to be right angle triangle,[tex]c^2=a^2+b^2[/tex]
By this law it is observed that,
For a triangle to be acute angle triangle,[tex]c^2<(a^2+b^2)[/tex]
For a triangle to be obtuse angle triangle,[tex]c^2>(a^2+b^2)[/tex]
The sides of the given triangle are 3.8 cm ,3.7 cm, and 5 cm.
Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,
[tex]c^2=5^2\\c^2=25[/tex]
Other two sides,
[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]
Therefore,
[tex]25<28.13\\[/tex]
Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.
Learn more about the type of triangle here;
https://brainly.com/question/2644832
PLZZ HELPP IM FAILLING THIS CLASS
Answer:
Hope this helps!!! :)
Step-by-step explanation:
#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4
#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5
#3: the second one. $4.5 < $8.4
#4: 45 times 12 = $54
If segment RT bisects ∡QRS, m∡QRT = 5x – 9 and m∡SRT = 2x + 33, find m∡SR
Answer:
61 degrees
Step-by-step explanation:
m∡QRT=m∡SRT
5x – 9=2x + 33
3x=42
x=14
∡SRT=2x+33
∡SRT=2(14)+33
∡SRT=28+33
∡SRT = 61
please help me so i dont fail
The length of a rectangular pool is 50 yards, and the width of the pool is 16 yards. What is the approximate length of the diagonal of the pool
Answer:
52.5
Step-by-step explanation:
You would use the Pythagorean theorem to solve this. Using the formula,
a^2 + b^2 = ^2
You would have an equation of 50^2 + 16^2 = c ^2.
50^2 is 2500, and 16^2 is 256.
There, you have 2500+256 = c^2
add those together, and you have 2756.
Now, you have to find the square root of 2756 (to solve 2756 = c^2)
which leaves you with 52.4976189936 . Rounded to the nearest tenth, you end up with 52.5.
The relationships for Paul's and Steve's height with respect to Theresa's height are described above. First you will write expressions for Paul's height and for Steve's height. Then you will relate the expressions.
Answer:
They are tall, im not sure
What is the value of x in the figure shown below?
Answer: 100 degress
Step-by-step explanation:
35+65=100
180-100
Angle = 80 degrees
x=100
HELPPP!!!!! what is the value of x ♀️
Answer-
B) 40
Step By Step Intrustions-
First Step-
Gather your important numbers; 60, 3.75, & 2.5
Second Step [ Divide ]-
Divide your numbers for the same side;
60 ÷ 3.75 = 16
Final Step [ Multiply ]-
16 × 2.5 = 40
40 is your final answer of the enlarged side. Hope this helps!
-♡ Aslina ♡
-77.4=9a
I need to solve for a. Can someone help me?
Cody's Cafe uses 1 7/10 bags of coffee every day. How many days will 6 4/5 bags of coffee last?
Answer:
64/5 bags=128/17 days
Step-by-step explanation:
soln:
given,
17/10 bags=1 day
64/5 bags= ?
we know,
1 bag=10/15 day
so,
64/5 bags=10/15*64/5
•°•64/5 bags=128/17 days
James wants to buy some CDs that cost $14 each and a DVD that costs $23. He has $65. Write an equation (in the Show your work area) and solve to find how many CDs he can buy. Include "CD" in your answer.
Answer:
3
Step-by-step explanation:
65-23= 42
42/14= 3
Answer:
14x+23 =65 x=3CDs
Step-by-step explanation:
So for any question where you need to write your own equation, it is first necessary that you determine what each number in the problem means in order to determine where they should go. James has $65 so the equation needs to be set equal to 65. The problem says he wants to buy a DVD for $23 so that would be a constant $23 spent regardsless of how many CDs he buys. We are trying to use the equation to determine how many CDs James can buy so the number of CDs is the x value at $14 each which would be 14x in the equation. so the equation would be the 14x for the unknown number of CDs, plus 23 for the constant DVD that James would buy set equal to the $65 he can use to buy everything.
To solve the equation, you must now isolate for x. To start, cancel out the +23 on the left side by subtracting 23 from both sides. This will leave 14x=42. You must then cancel the 14 by dividing both sides by 14 leaving your answer of x=3CDs.
I hope this helps.
Whats a good nickname for my friend David?
Don't say "Dave" , Dav, or any other like couple names/NO plz
Give me a nickname for just friends
Answer:
My causins name is David but we also call him davy
In a theater showing a cartoon movie, 13 out of 17 people watching are children. How many children would you predict are watching the movie if there are 204 people in the theater?
Answer:
102 childs
Step-by-step explanation:
HELP HELP HELP HELP
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer: -7
Step-by-step explanation: .........................
Pls, it’s for a test , ;< . I Wanna actually Get a good grade. PLS HELP you will get 20 points
Solve y3 = 27.
A. y = 5.2
B. y = 9
C. y = 3
D. y = 3 y= 3
Answer:
The answer is y=3
PLEASE HELP! Which graph has an absolute max at x=2
Answer:
C)
Step-by-step explanation:
The highest point on the graph for c) is in the first quadrant (where x=2 would be).
If you had an equation, you would be able to find critical points on the function by setting the numerator and denominator equal of f'(x)=0 and solve. You'd have to evaluate f(x) at these critical points and end points to figure that out. This is, if you're in calculus and you would ever need assistance otherwise!
If OB= 2x+1 and
BR = 3x-10 then OR=
1/10 of blank is 8. PLEASE HELP ASAP!!! WILL MARK BRAINILEST
Answer:
80
Step-by-step explanation:
Reverse it too, 8 divided by 1/10, which is 80.
Solve the equation. Check your solution. - 6y + 5 = 29y - 2
Answer:
y = 0.2
Step-by-step explanation:
Simplifying
-6y + 5 = 29y + -2
Reorder the terms:
5 + -6y = 29y + -2
Reorder the terms:
5 + -6y = -2 + 29y
Solving
5 + -6y = -2 + 29y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-29y' to each side of the equation.
5 + -6y + -29y = -2 + 29y + -29y
Combine like terms: -6y + -29y = -35y
5 + -35y = -2 + 29y + -29y
Combine like terms: 29y + -29y = 0
5 + -35y = -2 + 0
5 + -35y = -2
Add '-5' to each side of the equation.
5 + -5 + -35y = -2 + -5
Combine like terms: 5 + -5 = 0
0 + -35y = -2 + -5
-35y = -2 + -5
Combine like terms: -2 + -5 = -7
-35y = -7
Divide each side by '-35'.
y = 0.2
Simplifying
y = 0.2
Answer:
y=0.20
Step-by-step explanation:
-6y+5=29y-2 Carry the -6 over to the 29.
5=35y-2 Carry the -2 over to the 5.
7=35y
y=0.20
CHECK: -6(0.20)+5=29(0.20)-2
-1.2+5= 5.8-2
3.8=3.8
If you have any questions feel free to ask
What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??
Answer:
Mean is 3, median is 1, and range is 6
Step-by-step explanation:
Im a smart dude with a great attitude
Y-3 = -(x-2)
in slope intercept form. Please show work.