For this case we have that by definition, a linear equation is of the form:
[tex]ax + b = 0[/tex]
The variable (s) involved in the equation always have exponent 1.
Some examples of linear equations are:
[tex]x + 5 = 3y\\y + 6 = 3x\\y = 2x + 2[/tex]
Answer:
In a linear equation the variables have exponent 1.
[tex]y = 2x + 2[/tex]
Help me on my midterm.!
Last Option: "The division property is used to create step 4" is the correct answer
Step-by-step explanation:
Given equation is:
[tex]6(3x-4)-26 = 40[/tex]
Step 1: Distributive property
[tex]18x-24-26 = 40\\[/tex]
Step 2: Simplifying
[tex]18x-50 = 40[/tex]
Step 3: Addition Property of Equality
[tex]18x-50+50 = 40+50\\18x = 90[/tex]
Step 4: Division Property of Equality
[tex]\frac{18x}{18} = \frac{90}{18}\\x = 5[/tex]
Hence,
Last Option: "The division property is used to create step 4" is the correct answer
Keywords: Linear equation, variables
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What is the product? (x + 3)(2 x minus 1)
Answer:
Your final answer will be 2x^2 + 5x -3
Step-by-step explanation:
PLEASE HELP!
The function f(x) = Three-fourths(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?
(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
(2, negative StartFraction 3 Over 400 StartFraction)
(3, –750)
Answer:
The actual answer is C) 2, -3/400
Step-by-step explanation:
I hope this can help, I checked for the answer after the quiz.
A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.
f(x) = Left-bracket StartFraction x Over 10 EndFraction right-bracket
Which describes the meaning of f(x)?
Answer:
A customer earns one free night per 10 nights stayed.
Step-by-step explanation:
A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.
Here, [tex]f(x) = \frac{x}{10}[/tex] ........... (1)
In the above equation if we put x = 10 nights then f(10) = 1 night.
From, the equation (1) we get that a customer earns one free night per 10 nights stayed. (Answer)
The correct option is A. a customer will earn 1 free night per 10 night stayed.
Given,
[tex]f(x)=\dfrac{x}{10}[/tex]..........equation (1) .
Since the hotel offers a reward program based on the number of nights stayed. The function [tex]f(x)[/tex] represents the number of free nights earned as a function of [tex]x[/tex], the number of nights stayed.
From equation (1), it is clear that f(x) is the one- tenth times of x. it means the customer will earn 1 free night per 10 night stayed.
Hence the correct option is A. a customer will earn 1 free night per 10 night stayed.
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What is 980 divided by 41
Answer:
23.902
Step-by-step explanation:
Can you help me make a Word problem
Answer:hey
Step-by-step explanation:
w+2/3=2 5/6 what is w
Answer:
13/6
Step-by-step explanation:
2 5/6=17/6
w+2/3=17/6
w=17/6-2/3
w=17/6-4/6
w=13/6
HELP!! If over A few weeks Carla saw 15 mayflies how many flying insects did she see
Step-by-step explanation:
Given expression
Number of insect Number of mayflies
x [tex]\frac{3}{14}x[/tex]
According to problem
[tex]\frac{3}{14}x[/tex][tex]=15[/tex]
⇔[tex]x = \frac{15 \times 14}{3}[/tex]
⇔[tex]x = 70[/tex]
Number of insect = 70
A gardener makes a new circular flower bed. The bed is fourteen feet in diameter. Calculate the circumference and the area of the circular flower bed.
A. circumference= 14pi feet, area = 196pi square feet
B.circumference = 14
feet, area = 14pi
square feet
C.circumference = 14pi
feet, area = 49pi
square feet
D.circumference = 7pi feet,area= 49pi square feet
The circumference and the area of the circular flower bed is 14π feet
Circumference of a circleThe formula for calculating the circumference of a circle is expressed as:
C = 2πr
Given the following parameeters
diamter = 14ft
radius = 14/2 = 7ft
Susbtitute
C = 2π(7)
C = 14π feet
A = π(7)^2
A = 49 π square feet
Hence the circumference and the area of the circular flower bed is 14π feet
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Which polygon is irregular?
Answer:
The irregular polygon is D.
Step-by-step explanation:
An irregular polygon is a shape that doesn't have all congruent sides.
Answer:
D
Step-by-step explanation:
7x + 2y = -1
3x – 4y = 19
Answer: Y = - 4 & x = 1
Step-by-step explanation:
Systems of linear equations: We will solve this using substitution but you can use 2 more ways.
7x + 2y = -1
2x - 4y = 19
Leave X alone first: -------------------
10x - 2y = 18
10x/10 = 18 + 2y/10
x = 9/5 + y/5
Solve for y:
7(9/5 + y/5) + 2y = -1
63/5 + 7y/5 + 2y - 1
63/5 + 7y/5 = 10y/5 = -1
63/5 + 17y/5 = -1 (-5/5)
17y/5 = -68/5 (cancel the 5)
y = -68/17
y = - 4 (Your Answer)
7x + 2(- 4) = -1
7x + (-8) = -1
7x = 7
x = 1
CHECK=
7(1) + 2(-4) = -1
7+ (-8) = -1.
-1=-1
Answer:
(1, -4).
(x = 1, y = -4).
Step-by-step explanation:
7x + 2y = -1
3x – 4y = 19 Multiply the first equation by 2:
14x + 4y = -2 Adding:
17x = 17
x = 1.
Plug this into the second equation:
3(1) - 4y = 19
-4y = 19 - 3 = 16
y = -4.
Select the answer with the correct number of significant figures for each calculation. (6.022 × 10^23) × 2.58 = 1.55 × 10^24 1.554 × 10^24 1.5537 × 10^24
Answer:
1.55 × 10^24
Step-by-step explanation:
The answer is A aka 1.55 x 10 to the power of 24
Approximately how many ounces are equivalent to 1 kilogram?
Answer: 35.27 oz
The answer is: The change of 1 kg ( kilogram ) unit for a weight and mass measure equals = into 35.27 oz ( ounce ) as per its equivalent weight and mass unit type measure often used.
Approximately, 1 kilogram is equivalent to 35.3 ounces. This calculation is achieved by starting with the knowledge that 1 kilogram is 1000 grams, then converting this measurement to ounces knowing that 1 gram equals 0.0353 ounces.
Explanation:The topic at hand is the conversion between weight metrics, specifically how many ounces are approximately equivalent to a kilogram. It's important to note that 1 kilogram is approximately equivalent to 35.274 ounces. Here's why:
We understand from the given information that 1 ounce is produced by a mass of 28.35 grams (abbreviated as g). Given that 1 kilogram (kg) is equal to 1000 grams, to find the equivalent of a kilogram in ounces, we need to convert 1000 grams to ounces:
Step-by-Step Calculation
Start with 1 kilogram, which is equivalent to 1000 grams.Knowing that 1g equals to 0.0353 ounces, multiply 1000 grams by 0.0353 oz/g. This gives us 35.3 ounces.So, 1 kilogram is approximately equivalent to 35.3 ounces.
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What is the slope for 4y-2x=8
Answer:
1/2
Step-by-step explanation:
The answer would be x-2y= -4 I hope this helped!
- the line through (3, 7) and (-1, 4) --
Answer:
[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]
Step-by-step explanation:
We have to get the equation of the straight line through the points (3,7) and (-1,4).
Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by
[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].
So, in our case, the equation of the straight line will be
[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]
⇒ 4(y - 7) = 3(x - 3)
⇒ 4y - 28 = 3x - 9
⇒ 4y = 3x + 19
⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)
There are 3,200 students at our school. If 52% of them are boys, then how many boys are enrolled at our school?
Answer:
1664 boys
Step-by-step explanation:
3200×0.52=1664 boys
Answer:
1664
Step-by-step explanation:
Multiply 3200 by the 52% as a decimal, which is 0.52, and 3200 times 0.52 gives you the answer 1664.
Solve the systems of equations using the substitution method.
5y-6=x
Y=-x
Answer:
x=-1, y=1. (-1, 1).
Step-by-step explanation:
5y-6=x
y=-x
-----------
5(-x)-6=x
-5x-6=x
-5x-x=6
-6x=6
x=6/-6
x=-1
y=-(-1)=1
When x=8 and y=20. Find y when x=68
Answer:
[tex]8(68) + 20[/tex]
[tex]8 \times 68 + 20[/tex]
[tex]544 + 20[/tex]
[tex]x = 564[/tex]
Answer:
170
Step-by-step explanation:
8/20=x/y
simplify. 2/5
2/5=68/y
68*5/2=y
68*5=340
340/2=170
y=170
There are 27/9 and I don’t know the answer
Answer:i8lil
Step-by-step explanation:
loo;;o;o;oo;
Answer:
you Go up to who ever teaches you cuz it’s 8 and u should know This
From 2003 onward, the number of daily visitors to a website increased by 200% every two years. So, for example, the number of visitors in 2011 was 200% more than the number of visitors in 2009.
In what year was the number of daily visitors $800\%$ more than the number of daily visitors in 2003?
It takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003
Solution:
Let the number of visitors in 2003 be 100
From 2003 onward, the number of daily visitors to a website increased by 200% every two years
Therefore, Number of visitors in 2005 is given as:
Visitors in 2005 = 100 + 200 % of 100
[tex]Visitors\ in\ 2005 = 100 + \frac{200}{100} \times 100\\[/tex]
Visitors in 2005 is 300
Similarly, in 2007, the number of visitors is given as:
Visitors in 2007 = 300 + 200 % of 300
Visitors in 2007 = 300 + 600
Visitors in 2007 = 900
Now find the percentgae increase from 2003 to 2007
[tex]\text { Percentage increase }=\frac{\text {visitors in } 2007-\text {visitors in } 2003}{\text {visitors in } 2003} \times 100[/tex]
[tex]\text{percentgae increase} = \frac{900 - 100}{100} \times 100\\\\\text{percentgae increase} = 800[/tex]
Thus it is a 800 % increase
Number of years = 2007 - 2003 = 4 years
Thus it takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003
If a number increases by $200\%$, then this means that $2$ times the number is added to the original number. The result is $3$ times the original number. So, the information given in the problem means that the number of daily visitors to the website tripled every two years.
For the number of daily visitors to increase by $800\%$, it must become $9$ times its original value (that's $8$ times the original number added onto the original number). This is equivalent to tripling and then tripling again.
Relative to its value in $2003$, the number of daily visitors to the website tripled by $2005$, then tripled again by $2007$. So, $\boxed{2007}$ is the year in which this number reached $800\%$ more than its value in $2003$.
What is the answer to 20g + 24h?
Answer: 64g
Step-by-step explanation: added 20 by 20 and then add the 4.
Answer:it stays the same
Step-by-step explanation: because if it different letters it can’t combine
There are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. What is the tire’s weight in pounds?
Answer:
The tire's weight in 1.146 pounds.
Step-by-step explanation:
Given:
There are 453.592 grams in one pound.
A semi-slick, Kevlar tire weighs about 520 grams.
Now, to find the tire's weight in pounds.
As, given 1 pound is 453.592 grams.
The weight of tire = 520 grams.
So, to get the tire's weight in pounds by using conversion factor:
1 pound = 453.592 grams.
Thus, 520 grams is:
[tex]\frac{520}{453.592}[/tex]
[tex]=1.146\ pounds.[/tex]
Therefore, the tire's weight in 1.146 pounds.
John is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admission tickets are $70 and the VIP tickets are $105. If she knows he sold a total of 33 tickets and made $2730, how many of each type did she sell?
Answer:
The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12
Step-by-step explanation:
Let
x ----> the number of general admission tickets sold
y ----> the number of VIP tickets sold
we know that
[tex]x+y=33[/tex] ---> equation A
[tex]70x+105y=2,730[/tex] ----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both lines
using a graphing tool
The solution is the point (21,12)
see the attached figure
therefore
The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12
Final answer:
To solve how many general admission and VIP tickets John sold, a system of equations is formed and solved, revealing that John sold 21 general admission tickets and 12 VIP tickets.
Explanation:
John is selling tickets to an event with two different pricing options, general admission tickets at $70 and VIP tickets at $105. He sold a total of 33 tickets resulting in revenue of $2730. To determine how many of each type of ticket he sold, we will use a system of equations.
Let x represent the number of general admission tickets sold and y represent the number of VIP tickets sold. We can then form the following two equations based on the information provided:
x + y = 33 (equation 1: total number of tickets sold)
70x + 105y = 2730 (equation 2: total revenue from ticket sales)
To solve this system, we can use the method of substitution or elimination. Here, we'll use substitution for simplicity. First, solve equation 1 for x:
x = 33 - y
Substitute this expression for x in equation 2:
70(33 - y) + 105y = 2730
Simplify and solve for y:
2310 - 70y + 105y = 2730
35y = 420
y = 12
Since y = 12, substitute y back into equation 1 to find x:
x = 33 - 12 = 21
Therefore, John sold 21 general admission tickets and 12 VIP tickets.
What is the distance ?
Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²
= √(7 - (-3))² + (-1 - 5)²
= √10² + -6²
= √100 + 36
= √136
≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).
Best of Luck!
Divide 20/100
To find two equivalent fractions
Two equivalent fractions for 20/100 are 1/5 and 2/10. These are found by simplifying the fraction 20/100 by dividing by 20 and 10, respectively. Setting up proportions in different contexts often uses the principle that multiplication and division are related through reciprocals.
Explanation:To find two equivalent fractions for 20/100, we can simplify the fraction by dividing the numerator and the denominator by the same number. Since both 20 and 100 are divisible by 20, we can divide them both by 20 to get the first equivalent fraction, which is 1/5. To find a second equivalent fraction, we might choose another common divisor, like 10, which gives us 2/10 as another equivalent fraction to 20/100.
Converting percents to fractions involves writing the percentage as a fraction with a denominator of 100 and then simplifying. For instance, 20% would become 20/100 which simplifies to 1/5. To set up a proportion in other contexts, you could follow examples like setting scales in drawings or units in ratios equal to one another, and in doing so, you're often utilizing the concept that multiplication and division are related through the use of reciprocals.
What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
Answer:
x is greater than StartFraction 1 Over 6 EndFraction.
Step-by-step explanation:
–2(8x – 4) < 2x + 5
⇌ –16x + 8 < 2x + 5
⇌ 3 < 18x
⇌ 1/6 < x
⇌ x > 1/6
Answer:
A
Step-by-step explanation:
an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.
Answer:
85.44 miles apart
Step-by-step explanation:
According to the question;
The airplane flew 80 miles west and 30 miles northWe are supposed to determine how far apart are the airports.
The shortest distance will be the displacement from the initial point.We are going to use the Pythagoras theorem;a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;That is;
c² = 80² + 30²
= 6400 + 900
= 7300
c = √7300
= 85.44
Thus, the airports are 85.44 miles apart
sharon is planning a cookout for 42 people. each guest will get 1 veggie burger. sharona will put one slice of cheese on half of the burgers. cheese slices come in packs of 8. write and solve an equation to find the number of packs of cheese, p, that sharon needs to buy.
Answer:
3
Step-by-step explanation:
42 divided by 2 equals 21
21 divided by 8 equals 2.625
therefore, sharon must buy 3 packets of cheese.
How do I simplify (5i) square
Answer:
see attached picture please
Can you Solve 4x = -60
Answer:
X = -15
Step-by-step explanation:
Divide -60 by 4