4r+3=r+21
How do I do this?
What can be used as a reason in a two-column proof?
Select each correct answer.
conjecture
postulate
definition
premise
Answer:
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The reason column will typically include "given", vocabulary definitions, and theorems.
Therefore, what can be used as a reason in a two-column proof are:
Postulates
Definitions
A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n + 1 C=2n2 + 6n – 1 D=3n2 + 5
Answer:
B
Step-by-step explanation:
What is the answer to the problem below?
Solve the system of equations graphically.
x=3
y=4
How do you figure out what 1/10 of 1,7000.000 km squared is?
steps to solve this equation 25 1/7- 12 5/7=
To solve the equation 25 1/7 - 12 5/7, subtract the whole numbers and fractions separately, and combine them back into a mixed number to get the solution, which is 12 3/7
To solve the equation 25 1/7 - 12 5/7, follow these steps:
First, break the mixed numbers into whole numbers and fractions: (25 + 1/7) - (12 + 5/7).Next, subtract the whole numbers: 25 - 12 = 13.Subtract the fractions: 1/7 - 5/7. Since the denominators are the same, simply subtract the numerators: 1 - 5 = -4. This gives us -4/7, but since we can't have a negative fraction in this context, we'll take 1 away from the whole number 13 and convert it to 7/7, to make the equation easier to solve.Now you have 12 (since we took 1 from 13) and 7/7 - 4/7, which equals 3/7.Add the whole number and the fraction: 12 + 3/7 = 12 3/7.The solution to the equation is 12 3/7
Simplify each expression (combine like terms)
17x+12-13x
-35+17-3w+12w
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches.
A) 36π in. ^ 3
B) 48π in. ^ 3
C) 52π in. ^ 3
D) 64π in. ^ 3
Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 players on the team now. The expression below represents the percent of experienced players on the team after the coach adds x experienced players.
100(x+4)/x+10
What is:
a. Original ratio of experienced to total players
b. Final ratio of experienced to total players
c. Final total number of players
Choices
4/10
x+10
4
10
x+4/x+10
Can I have help on number 16 and please explain how you got the answer
what 5x(4+gy) if x= 1 g= 20 Y=14
please show work
Alan sells custom made kites online. He makes a flat profit of $20 per kite, but he pays $20 per day for his website. Write an inequality that gives the number of kites Alan needs to sell to make at least $900 per week?
Profit on each kite that Allan sells= $ 20 per kite
Amount paid by Allan for his Website = $ 20 per day
Let number of kites sold by Allan per day = x
In 7 days , number of kites sold = 7 x
Amount paid by Allan for his Website in 7 seven days = 20 × 7=$140
We have to make an equality describing number of kites Alan needs to sell to make at least $900 per week.
The Inequality is
→20×7 x -140 ≥ 900
→ 140 x ≥ 900 + 140
→ 140 x ≥1040
→ 7 x ≥ 52 (Minimum number of kites that allan should sell in a week)
Dividing both sides by 140,we get
→ x ≥ [tex]\frac{1040}{140}=7.43[/tex]= 8 kites in a day(approx)
DOES ANYONE HAVE A WORD PROBLEM FOR [5+10] DIVIDED BY 5 this is 5th grade math by the way
2005 months = how many liters
If the radius of a circle measures 2 inches, what is the measure of its diameter?
What's 24.67 to one significant figure?
The number of gallons of coffee a mathematician drinks on any given day is inversely proportional to how much sleep he gets the night before. On Monday, he got 9 hours of sleep and drank 2 gallons of coffee. On Tuesday, he got 6 hours of sleep. How many gallons of coffee did he drink?
"unable to determine because x can't take on the value 5.5"
Start at 5. Create a pattern that multiplies each number by 3 and subtracts 2. Stop when you have 5 numbers.
Answer: The required pattern is 13, 37, 109, 325, 973
Step-by-step explanation:
Since, each number in the sequence follows the following rule,
2 less than the 3 times of the previous number.
If we start from 5,
Then first number of the sequence = 3×5 - 2 = 15 - 2 = 13
Second number = 3× 13 - 2 = 39 - 2 = 37
Third number = 3× 37 - 2 = 111 - 2 = 109
Fourth number = 3×109 - 2 = 327 - 2 = 325
Fifth number = 3× 325 - 2 = 975 - 2 = 973
Hence, The required sequence is,
13, 37, 109, 325, 973
What is the completely factored form of x3 – 64x? x(x – 8)(x – 8) (x-4)(x2+4x+16) x(x – 8)(x + 8) (x – 4)(x + 4)(x + 4)
After factoring x from both terms, you can factor the difference of two squares.
= x(x² -64)
= x(x -8)(x +8)
_____
It is worth remembering the "speciall form" that is the difference of two squares:
... a² - b² = (a -b)(a +b)
Answer:
x(x -8)(x +8)
Step-by-step explanation:
Every two years, a manufacturer's total yearly sales decline 20%. She sells 400 total units in her first year. Rounded to the nearest unit, how many total units will she sell her ninth year?
146.54 units are the total units will she sell her ninth year.
Here, we have,
periodic exponential decay is:
[tex]A = I(1-r)^{t/p}[/tex]
where,
A = amount
I = initial amount
r = rate
t = time
p = period
we know, the first year she sold 400 units,
thus year 0, 400 units, t = 0, A = 400.
so, we get,
periodic exponential decay is:
[tex]A = I(1-r)^{t/p}[/tex]
=> 400 = I × 1
=> 400 = I
therefore then, when, rate = 20 %
we get,
periodic exponential decay is:
[tex]A = I(1-r)^{t/p}[/tex]
[tex]= > A = 400(1-0.2)^{t/2}[/tex]
now, how many units will it had decreased by the 9th year? t = 9
so, we get,
[tex]= > A = 400(1-0.2)^{9/2}[/tex]
=> A = 146.54
Learn more about exponential function here:
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605 mi in 11 hours at the same rate how many miles would he drive in 13 hours
a certain game involves tossing 3 fair coins. it pays 28 cents for 3 heads, 16 cents for 2 heads, and 4 cents for 1 head. what is a fair price to play this game?
Final answer:
The fair price to play this game is 10.5 cents.
Explanation:
To find the fair price to play this game, we need to calculate the expected value. The expected value is calculated by multiplying each outcome by its probability and summing them up.
Let's calculate the expected value:
Probability of getting 3 heads: 1/8 (since there are 8 possible outcomes)Payout for 3 heads: 28 centsProbability of getting 2 heads: 3/8Payout for 2 heads: 16 centsProbability of getting 1 head: 3/8Payout for 1 head: 4 centsNow, we calculate the expected value:
(1/8) * 28 + (3/8) * 16 + (3/8) * 4 = 3.5 + 6 + 1 = 10.5 cents
Therefore, the fair price to play this game is 10.5 cents.
Dan earns $8.25 an hour and works 20 hours a week. How much will he earn in three weeks?
Answer:
Step-by-step explanation:
Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
(2x² +3x -4) + (8 -3x) + (-5x² +2)
= x²(2 -5) +x(3 -3) +(-4 +8 +2)
= -3x² +6
_____
The process here is called "collecting terms", which means you add the coefficients of "like" terms. Terms are "like terms" when they have the same constellation of variables. Here, there are three different kinds of like terms:
• x² terms
• x terms
• constants
This process is an application of the distributive property, as you can see on the second line of the solution above.
D is the midpoint of CE.E has coordinates (-3,-2), and D has coordinates (2 1/2, 1). Find the coordinate of C.
The coordinate of point C on line CE will be (8, 4).
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
D is the midpoint of CE.
E has coordinates (-3,-2), and D has coordinates (2 1/2, 1).
Now, By the definition of midpoint;
Let the coordinate of point C = (x, y)
Then,
((x + (-3))/2 , (y + (-2))/2) = (2 1/2, 1)
By comparison we get;
x + (-3) / 2= 2 1/2
x - 3 = 2 (5/2)
x - 3 = 5
x = 3 + 5
x = 8
And, (y + (-2))/2 = 1
y - 2 = 2
y = 2 + 2
y = 4
Thus, The coordinate of point C = (x, y) = (8, 4)
So, The coordinate of point C on line CE will be (8, 4).
Learn more about the midpoint visit:
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Find the parabola of the form y = ax2 + b which best fits the points (1, 0), (3, 2), (4, 4) by minimizing the sum of squares, s, given by
What is the expanded notation for 2.918?
$185 DVD player 6% markup
Rochelle found the quotient of an integer, x, and 13. Is her quotient a rational number