The equation has one solution.
A value of x that makes the equation true is 6 which when substituted into the equation and simplified makes the equation turn into x = 0.
A value of x that makes the equation false is 8 which when substituted into the equation and simplified makes the equation turn into x = 2.
How to evaluate the equation?From the information provided, we have the following equation:
x - 6 = 6 - x
Rearranging the equation by collecting like terms, we have the following solution:
x + x = 6 + 6
2x = 12
x = 12/2
x = 6
Substituting the value "6" into the equation, we have the following solution;
x - 6 = 6 - 6
x - 6 = 0
Assuming x = 8, we have the following solution;
x - 6 = 8 - 6
x - 6 = 2
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Complete Question:
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.
x - 6 = 6 - x
The equation has _____.
A value of x that makes the equation true is ___ which when substituted into the equation and simplified makes the equation turn into ____.
A value of x that makes the equation false is ___ which when substituted into the equation and simplified makes the equation turn into ___.
Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an
additional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.
for what amount of driving to the two plans cost the same amount?
What is the cost when the two plans cost the same?
Answer:
I don't know
Step-by-step explanation:
i don't know
multiply the sum by the difference of 19 and 57
Answer:2009#73
Step-by-step explanation:
3939+373
Ie,ek
which expressions are equivalent to 2(-6c + 3) + 4c
A. -8c + 6
B. 3(-4c + 2)+4c
C. None of the Above
Answer:
A and B
Step-by-step explanation:
2(-6c + 3) + 4c
According to PEMDAS, we should evaluate the parentheses first.
However, the parentheses are already simplified completely.
Now we look for exponents. However, there are no exponents.
Next is multiplication. We can see there is a 2 directly outside of the parentheses. Distribute the 2 across each term in the parentheses.
-12c + 6 + 4c
Now combine like terms with addition.
-8c + 6
We can see that A. -8c + 6 is an answer choice.
Let's look at B. 3(-4c + 2) + 4c
Following the same steps, we will move on to multiplication.
-12c + 6 + 4c
Combine like terms with addition.
-8c + 6
This is also an answer choice.
Hope this helps!
Question
Enter a linear equation that models the situation.
A drugstore sells pens for $1.40 each and notebooks for $2 each. The owner would like to sell $40 of these
items each day. Use p for the number of pens and n for the number of notebooks.
A linear equation that models the situation is
= 40.
Answer:
1.40p+2n=40
Step-by-step explanation:
The Barker family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barker family that for the next 6 months, Lucky would grow at an average rate of 9 pounds per month. Currently, Lucky is 2 months old and weighs 3 pounds. Age, in months 2 3 4 5 6 7 8 Weight, in pounds 3 at 2 months old Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months. Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points. Part C: Create a linear model that represents the Lucky's current weight, in pounds, as a function of his age, in months. Part D: If Lucky continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Lucky weigh by the time he is one year old?
The table is given below.
The graph is given below.
The linear model that represents lucky's current weight in pounds as a function of his age in months is
f(x) = 9x - 15.
Lucky's weight in one year is 93 pounds.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Lucky current age and weight = 2 months and 3 pounds.
The growth rate of lucky per month = 9 pounds.
Table of age and weight of lucky.
Age (months) Weight (pounds)
2 3
3 12
4 21
5 30
6 39
7 48
8 57
Now,
The coordinates on the graph from the table are:
(2, 3), (3, 12), (4, 21), (5, 30), (6, 39), (7, 48), and (8, 57).
The graph of the table is given below.
Now,
The function for the weight of the lucky in x months.
f(x) = mx + c
m = 9
(2, 3) = (x, f(x))
So,
3 = 9 x 2 + c
c = 3 - 18
c = -15
So,
f(x) = 9x - 15
Where x is the number of months.
Now,
The weight of lucky in one year i.e 12 months.
This means,
x = 12 months
f(12) = 9 x 12 - 15 = 108 - 15 = 93
Thus,
The table is given above.
The graph is given below.
The function for lucky weight in x months is f(x) = 9x - 15.
The weight of lucky in one year is 93 pounds.
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Find the length of a using the Pythagorean theorem
Answer:
a = 12
Step-by-step explanation:
a² + 9² = 15²
a² = 15² - 9²
a² = 225 - 81
a² = 144
take the square root of both sides
a = 12
Answer:
[tex] {a }^{2} + {9}^{2} = {15}^{2} \\ {a}^{2} = - 81 + 225 \\ {a}^{2} = 144 \\ a = \sqrt{144 \: } \\ a = 12[/tex]
Jake has a floor that is 64 square feet. He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet. The tiles may be cut as needed. What is the fewest number of tiles required to fill the space while also requiring the fewest tiles to be cut? Show a diagram of the completed floor.
The number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .
What is area ?
Area can be defined as the total space taken by a 2-dimensional surface or shape of an object.
Given
Jake has a floor that is 64 square feet.
He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet.
The area of 3 feet by 5 feet could be = 3 * 5 = 15 square meters.
number of tiles required to fill the space could be = 64 / 15
that is 4.3 (approx )
Hence , the number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .
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Identify and write down the keywords in the word problem. (1.) Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3. Evaluate the expression 2g + 3a when g = 4 and a = 8 to find the cost of buying 4 cartons of grape juice and 8 cartons of apple juice. What is the difference in price Missy and Jared paid? Show your work.
The cost of the 4 cartons of grape juice and 8 cartons of apple juice will be $32 and the difference is $12.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.
The cost of 4 grapes and 8 apples will be,
Cost = 2g + 3a
Cost = ( 2 x 4 ) + ( 3 x 8 )
Cost = 8 + 24
Cost = $32
The difference in the price Missy and Jared paid is,
Difference = $32 - $ 20
Difference = $12
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NEED HELP LOL
if i have an 80% in a class for the first semester and a 90% in a class for the second semester, what is my grade for the year?
9. A bag contains 40 slips of paper, numbered 1-40. If one slip is chosen at random, what is the
probability of not choosing a multiple of 10?
Answer:
The probability is 0.9
Step-by-step explanation:
Suppose that we have a bag with N outcomes (such that these N outcomes have the same probability of being randomly drawn from the bag, we can suppose that the outcomes are given elements, like marbles or something like that.)
Suppose now that there are K of these elements with a given property.
The probability of randomly drawn one of these K elements is equal to the quotient between the number of these elements in the set (K) and the total number of elements in the bag (N)
The probability is: P = K/N
In this case, we know that there are 40 slips of paper, numbered from 1 to 40.
We want to find the probability of NOT choosing a multiple of 10.
The multiples of 10 in that range are:
10*1 = 10
10*2 = 20
10*3 = 30
10*4 = 40
So we have 4 multiples of 10, then we have 36 non-multiples of 10.
The probability of drawing at random a number that is not a multiple of 10, is equal to the quotient between the number of slips of papers with numbers that are not multiples of 10 (36) and the total number of slips of paper (40)
P = 36/40 = 0.9
The probability is 0.9
Do you know how to do this
Answer:
B
C
E
Step-by-step explanation:
Billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet.
Billy noticed that several of his carrots had been eaten by some mischievous rabbits. Billy wants to build a fence around his circular garden to keep the rabbits out. How much fence would Billy need? Explain how you determined your answer. Show all your work.
Billy decides that next year he will make his garden a raised-bed garden. He plans to make a short wall of paving bricks all the way around the garden, then fill the space inside with fresh soil. If he makes the wall 1 foot high, what volume of soil will he have to purchase in order to fill the circle to the top of the bricks?
Answer:
Step-by-step explanation:
area=πr^2
so we need to find the area then divide by 8
so
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
8. Using the formula C= id, find the circumference of a circle with a
diameter of 9 cm.
A. 28.26 cm B. 28.26 m C. 29.26 cm D. 29.26 m
Answer:
Circumference of a circle, C
[tex]C=\pi d= \pi 9=28.26cm\\Option \ A[/tex]
A woman bought a number of items for $24. She realized that if she had bought 4 more items for
the same money, she would have pald $8 less per Item. How many Items did she buy?
Answer:
The woman bought 2 items at $12 each.
Step-by-step explanation:
Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:
X = 24
X + 4 = 24
24/2 = 12
24/6 = 4
12 - 4 = 8
Therefore, the woman bought 2 items.
a(n)=6+(n-1)(-2) what its the fourth sixth and thirteenth terms
Answer:
4th term = 0
6th term = -4
13th term = -18
Step-by-step explanation:
a(n) = 6 + -2(n-1)
a(4) = 6 + (-2)(3) which is 6-6
a(6) = 6 + (-2)(5) which is 6-10
a(13) = 6 + (-2)(12) which is 6-24
Find the equation of the exponential function represented by the table below: 1 4 16 64
A new business borrows $320,000 at a yearly simple interest rate of 7%.
The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan? Pls help Mee!!
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}[/tex]
For the geometric sequence, the common ratio is 2 and the 12th term is a12 =6144. What is the first term?
A. a1=2
B.a1=3
C.a1=4
D.a1=5
Answer:
B. a1 = 3
Step-by-step explanation:
Since we have the comon ratio and 12th term, we could just divide the 12th term (6144) by 2 11 times until we get to the 1st term:
[tex]6144 /2/2/2/2/2/2/2/2/2/2/2 = 3[/tex]
For a better understanding of the question, let's use the formula for geometric equations:
a(r)^(n-1)
1. Let's plug in the values we know
r = common ratio = 2 n = 12a(2)^(12-1)
2. Set equation equal to 6144 (Since we use n = 12) and solve for a
a = 6144/ (2^11) a = 3To confirm this, let's use the formula for geometric equations again:
a(r)^(n-1)
a = first term = 3
r = common ratio = 2
3(2)^(12-1) = 6144
Therefore, a1 = 3
6029-5817 is the correct answer 45
the answer is 212 .... not sure where 45 came from
Is (2, 3) a solution for the equation 2x + 3y = 6?
Answer:
No
Step-by-step explanation:
Input the values and see if the equation is true.
2x + 3y = 6
(2, 3) x = 2, y = 3
2(2) + 3(3) = 6
4 + 9 = 6
13 ≠ 6
rewrite the rectangular equation x^2+y^2-8y=0 as a polar equation
Answer:
We'll use the following identities:
r = √(x2 + y2), from which we also have r2 = x2 + y2
y = r*sinθ
First, let's re-write your equation:
r = 8*sin(θ). Multiply both sides by r:
r2 = 8r sin(θ)
Now, we'll use substitute using the identities:
x2 + y2 = 8y
Re-arrange and complete the square:
x2 + y2 - 8y = 0
x2 + (y-4)2 - 16 = 0
x2 + (y-4)2 = 16
This represents a circle with center (0,4), and radius 4.
Step-by-step explanation:
sorry if it wrong
explain step by step please thank you! Paco drives an average of 55 miles per hour. Their destination is 274 miles away. wants to arrive at 4:00 p.m. and allow an extra hour for stops. What time should he go out?
Answer:
11:01 am
Step-by-step explanation:
If paco drives 55 miles per hour you must divide 274 by 55 to find the amount of time it will take for him to reach his destination:
274÷55=4.981818...
Now we have 4 hours plus 0.981818.. hours which the latter we multiply by 60 to find out how many minutes are 0.981818 hours:
60×0.981818...=58.9090...
which I will round to 59 as clocks show an hour and a minute so rounding it so it's accurate to the second is unnecassary, this means it will take him 4 hours 59 minutes to reach his destination so we subtract this from 4:00 pm:
4:00 pm-4 hours 59 minutes= 11:01 am
So our answer is 11:01 am
A survey where political groups try to collect information about what voters think is called a * Ballot initiative Public opinion poll Electoral College Acondidate is chosen to run for office is called
Answer:
Step-by-step explanation:
A person selected by others to run for office is the nominee.
Let x^2+10x=6.
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x^2+10x+___=___
Answer:
x² + 10x + 25 = 31
Step-by-step explanation:
To complete the square use half the x coefficent (10/2 = 5)
and square it (5² = 25)
Then add it to both sides
x² + 10x + 25 = 6 + 25
x² + 10x + 25 = 31
Answer:
x^2 + 10x + 25 = 31
Step-by-step explanation:
x^2 + 10x + (10/2)^2 = 6 + 25
x^2 + 10x + 25 = 6 + 25
x^2 + 10x + 25 = 31
The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it
1/2 10 = 5
5 squared = 25
That number must be added to the right side to maintain equality.
39➗(2+1) - 2x (4+1)
5/7 - Exit Ticket
Answer:
13 - 10x
= -3x
hope it helps
A recipe for punch requires 20 grams of drink mix for 5 liters.
How many grams of drink mix are needed per liter of water?
Using elimination, what is the solution to the following system?
x+3y= 26
x+y= 14
Answer:
x=8, y=6. (8, 6).
Step-by-step explanation:
x+3y=26
x+y=14
------------
x+3y=26
-(x+y)=-14
-----------------
x+3y=26
-x-y=-14
---------------
2y=12
y=12/2
y=6
x+3(6)=26
x+18=26
x=26-18
x=8
Which set of lengths CAN form a triangle?
6, 9, 12
3, 3 ,7
1, 2, 3
6, 9, 15
whats 2+2 pls i have a test tomorrow i need to pass it
The solid below is made of eight rectangular prisms, each with dimensions of 14 inches (in.) by 9 inches by 10 inches.
What is the volume, in cubic inches, of the object?
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest.
Answer:
D
Step-by-step explanation:
Volume of one prism
V = base x width x height = 14 x 9 x 10 = 1260 in^3
Volume of the solid
V = volume of one prims x 8 = 1260 x 8 = 10,080 in^3