The expression as the product of two factors is (1 + 7)(2 + 1).
What is termed as the product of the factors?A factor is a number which divides another number by itself and leaves no remainder. In other words, so unless multiplying two whole numbers yields a product, the numbers being multiplied are factors of a product because the product is divisible by them.Factors can be found using two methods: multiplication and division. Furthermore, rules of divisibility could be applied.For the given question, the expression is;
= 2x1 + (1+7) + (7x2)
First, search for numbers that share a factor.
Consider the factors (2 x 1) and (7 x 2); this same common factor is two, so we factor.
= (2 x 1) + (7 x 2) + (1 +7)
Taking 2 common from first two numbers.
= 2 (1 + 7 ) + (1 + 7)
Now, take (1+7) common from both.
= (1 + 7)(2 + 1)
Thus, the expression as the product of two factors is (1 + 7)(2 + 1).
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A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price?
To represent the new price during the 'no application fee' special, the dance studio's cost equation would change from C = 50x + 75 to C = 50x by removing the $75 application fee.
Explanation:The dance studio's original cost equation is C = 50x + 75, where C represents the total cost and x represents the number of months of membership. The $75 in the equation represents the application fee. During the "no application fee" special in January, this fee is waived, so the new equation would only include the monthly membership cost, which is $50 per month. The new equation would be C = 50x, removing the application fee entirely from the cost calculation.
A bicycle shop advertised all mountain bikes were priced at 1/4 discount.
passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?
Answer:
Equation of line , 5x + 3y = 0
Step-by-step explanation:
The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Here points are given by (-3,0) and (-6,5)
Slope[tex]=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}[/tex]
The slope of parallel lines are same. So slope of required line [tex]=\frac{-5}{3}[/tex]
Equation of a line with slope m passing through origin is given by
y =mx
So equation of line, [tex]y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0[/tex]
Equation of line , 5x + 3y = 0
Answer: -5x -3y = 0
Step-by-step explanation:
took on edmentum/plato and got it right. enjoy :)
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from −15°F−15°F negative 15 degrees cap f to 45°F
The question is about the temperature range of a coat and its ability to withstand extreme temperatures.
Explanation:The subject of this question is Physics, as it involves understanding the temperature range of a coat and its ability to withstand extreme temperatures.
Given that the coat is recommended for temperatures from -15°F to 45°F, it means that the coat is designed to provide sufficient insulation and protection within this temperature range. The negative symbol in -15°F indicates that it is below freezing point.
This suggests that the coat is designed to keep the wearer warm in sub-freezing temperatures, down to -15°F, and up to 45°F. It is important to note that the recommended temperature range may vary depending on individual tolerance, activity level, and wind chill factors.
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What is the domain and range of f(x)=3x?
The required domain and range of the f(x) = 3x is (-∞, +∞) and (-∞, +∞) respectively.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
The function f(x) = 3x is a linear function where the output (the range) is directly proportional to the input (the domain).
The domain of this function is the set of all real numbers because we can substitute any real number for x and get a valid output.
The range of the function is also the set of all real numbers because we can get any real number as the output by multiplying a real number by 3. Therefore, the range of the function is also all real numbers.
In interval notation, we can represent the domain and range as follows,
Domain: (-∞, +∞)
Range: (-∞, +∞)
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what sequence is next 3 9 27 81
A normal distribution has a mean of µ = 100 with σ = 20. if one score is randomly selected from this distribution, what is the probability that the score will have a value between x = 90 and x = 120?
Crystal is having a painting party with her friends. Each friend will need two canvases. The equation to find the total number of canvases Crystal needs is c=2f , where c is the number of canvases and f is the number of friends. Which variable is the independent variable? A. c B. f C. There is no relationship between the variables.
If (6 to the power of 2)x = 1, what is the value of x? Explain your answer.
If (6 to the power of 0)x = 1, what are the possible values of x? Explain your answer.
PLEASE HELP AND EXPLAIN I CANT FAIL THIS QUESTION HELPPP!!!
When a day of the week is randomly selected it is a saturday?
5/8 of the 64 musicians in a music contest are guitarist. Some of the guitarist play jazz solos, and the rest play classical solos. The ratio of the number of guitarist playing jazz solos to the total number of guitarist in the contest is 1:4. How many guitarist play classical solos in the contest?
Find the distance between 0,3 and -2-5 round nearest hundreth
George is at a trade show and is trading cards. He started the day with 50 cards, traded 5 of his cards for 1 of Billy's cards, traded 2 of his cards for 7 of Eloise's cards, and then traded 6 of his cards for 6 of Migel's cards. How many cards does he have at the end of the day?
what is the expressions equivalent to 50+30
Which mathematical expression is equivalent to the expression "nine less than six times the number t"?
Question 5 options:
A. 6 - 9t
B. 6t - 9
C. 9 - 6t
D. 9t - 6
The Expression is 6t - 9.
What is Equations?An equation is a mathematical statement that connects two expressions of equal value by using the "equal to" symbol.
A mathematical statement with two algebraic expressions on either side of an "equal to (=)" sign is called an equation. It demonstrates the equality of the relationship between the expression written on the left and right sides.
Given Expression "nine less than six times the number t"
which means number 9 should less than product of 6 and t
six times the number t implies the product of t and 6 which is equal to
6t,
and subtract 9 from 6t we get
6t - 9
Hence the expression "nine less than six times the number t" is 6t - 9.
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courtlynn combines 7/8 cup sour cream with 1/2 cup cream cheese. she then divides the mixture between two bowls. how much mixture does courtlynn put in each bowl?
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt?
Answer:
Step-by-step explanation:
A & B
The average full spreading rate over the last 20,000,000 years at placemark a in the red sea is _________. approximately 1 centimeter per year approximately 10 centimeters per year approximately 19 centimeters per year approximately 2 centimeters per year
Recall that a prime number is a natural number whose only factors are itself and 1 (for example, 2, 3, 5, . . . ). the goldbach conjecture, posed in 1742, claims that every even number greater than 2 can be expressed as the sum of two primes. for example, 4 = 2 + 2, 6 = 3 + 3, and 8 = 5 + 3. a deductive proof of this conjecture has never been found. test the conjecture for at least 10 even numbers and present an inductive argument for its truth. do you think the conjecture is true? why or why not?
Prime Number is a number whose only factors are itself and one. For example 1,3,5,7,11,13,17,19,23… Now consider the following arguments : Every even number greater than 2 can be expressed as sum of two primes. Now consider the following premises:
Premise 1 : 4 = 2 + 2
Premise 2 : 10 = 5 + 5
Premise 3 : 12 = 5 + 7
Premise 4 : 16 = 5 + 11
Premise 5 : 18 = 5 + 13
Premise 6 : 22 = 11 + 11
Premise 7 : 30 = 7 + 23
Premise 8 : 32 = 3 + 29
Premise 9 : 40 = 3 + 37
Premise 10 : 52 = 5 + 47
Premise 11 : 100 = 3 + 97
Conclusion : every whole number is sum of two prime numbers.
All 11 cases are different, yet the rule applies to all. This outcome offers a strong inductive argument in favor of the conclusion or rule specified. It can be strengthened by additional cases that confirm the rule. Conjecture specified will be true because each number can be specified as sum of two primes. As each whole number will have difference os 1, 2, 3, 5, or 7 between the number and the nearest prime number. Consider the following example :
34 = 31 + 3
36 = 33 + 3
Hence the conjecture “Every number greater than two can ve expressed as the sum of two primes” is true.
Which fraction has a terminating decimal as it's the small expansion?
A) 1/3
B) 1/5
C) 1/7
D) 1/9
Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1
Here is the picture of the answer above
A salesperson's weekly paycheck is 15% less than a second salesperson's paycheck. The two paychecks total $1425. Find the amount of each paycheck.
How does a "for every" statement show a ratio comparison?
What symbols relate to the numbers 25 ? 35
which has the greater volume: a 4 meter cube or a rectangular solid that that is 8 meters long, 2 meters wide and 2 meters high
Answer:
The cube has the greater volume.
Step-by-step explanation:
The volume of a cube is given as:
[tex]V=x^3[/tex]
Where [tex]x[/tex] is the measure of 1 side (all sides of a cube are same)
The volume of a rectangular solid is given as:
[tex]V=l*w*h[/tex]
Where [tex]l[/tex] is the length, [tex]w[/tex] is the width, and [tex]h[/tex] is the height.
From the problem,
Volume of cube = [tex](4)^{3}=64[/tex] [since each side is given as 4]Volume of rectangular solid = [tex]8*2*2=32[/tex] [the length is given as 8, width is 2, and height is 2]The cube has the greater volume.
Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. Kevin determines about how many times the spinner will land on red or green, and his work is shown below.
Kevin's spinner will land on red or green approximately 72 times out of 180 spins since the probability of landing on red or green per spin is 0.4.
Explanation:The student's question involves determining the expected number of times a spinner will land on specific colors, given that the spinner is spun a large number of times. In this scenario, Kevin has a spinner with 10 equal sections with 2 sections of each color - red, blue, green, yellow, and purple. When Kevin spins the spinner 180 times, he wants to figure out how many times it will land on red or green.
Since there are 2 sections each of red and green out of a total of 10, the probability of landing on either red or green for a single spin is P(red or green) = P(red) + P(green) = 2/10 + 2/10 = 4/10 = 0.4. To find the expected number of times the spinner will land on red or green after 180 spins, we simply multiply the total number of spins by the probability of landing on red or green: 180 spins * 0.4 = 72 spins. Therefore, we can expect the spinner to land on red or green approximately 72 times out of 180 spins.
Tyler is playing a game in which he needs to guess an integer. Which of the following is a number that tyler can gues
5/2(6x-7)+ 4/3(2+9x)
How do I write 18,801,310 in expanded form using exponents
Expanded form of a certain number involves writing out the place Number value of each digit in the number. The expanded Form of 18,801,310 is [tex] (1 \times {10}^{7} ) + (8 \times {10}^{6} ) + (8 \times {10}^{5} ) + (0 \times {10}^{4} ) + (1 \times {10}^{3} ) + (3 \times {10}^{2} ) + (1 \times {10}^{1} ) + (0 \times {10}^{0} ) [/tex]
[tex]1 = 10 \: million \: place \: = 1 \times 10000000 = 1 \times {10}^{7} [/tex][tex]8 \: = 1 \: million \: place \: = 8 \times 1000000 = 8 \times {10}^{6} [/tex][tex]8 = 100 \: thousand \: place \: = 8 \times 100000 = 8 \times {10}^{5} [/tex][tex]0 = 10 \: thousand \: place \: = 0 \times 10000 = 1 \times {10}^{4} [/tex][tex]1 = 1 \: thousand \: place \: = 1 \times 1000 = 1 \times {10}^{3} [/tex][tex]3 = 1 \: hundred \: place \: = 1 \times 100 = 1 \times {10}^{2} [/tex][tex]1 = 10s \: place \: = 1 \times 10 \: = 1 \times {10}^{1} [/tex][tex]0 = 0 \times {10}^{0} [/tex]Hence,
[tex]18,801,310 = (1 \times {10}^{7} ) + (8 \times {10}^{6} ) + (8 \times {10}^{5} ) + (0 \times {10}^{4} ) + (1 \times {10}^{3} ) + (3 \times {10}^{2} ) + (1 \times {10}^{1} ) + (0 \times {10}^{0} )[/tex]
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Marcos is organizing a fundraiser for his youth group. He spent $38.00 on paper products, $187.00 on food, and $40.00 on decorations. If his budget was $280.00, how much money does Marcos have left?
$15.00
$25.00
$115.00
$125.00
Answer:
15$
These are simple algerbra problems.