The slope of the line passing through the points (3,8) and (-3,2) is 1
The slope of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where m represents the slope
For the line passing through the points (3,8) and (-3,2).
x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2
Substitute x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2 into the slope formula above
[tex]m = \frac{2-8}{-3-3}\\\\m = \frac{-6}{-6} \\\\m = 1[/tex]
Therefore, the slope of the line passing through the points (3,8) and (-3,2) is 1
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In a science experiment, two tomato seeds were planted and watered. After six weeks, the plant that was fertilized was 26 centimeters tall. The plant that was not fertilized was only 74% as tall. What was the height of the shorter plant?
Answer:
Use the Change of Base Formula to solve: 2^2x = 90. Round to the nearest tenth.
Andrea gets 3 7/8 yards of purple ribbon, 3.7 yards of pink ribbon and 3 4/5 yards of blue ribbon. List the numbers in order from least to greatest.
Please help!! I really don’t know what this is
Which expression is equivalent to 5.4−1.8 ? A. −1.8+5.4 B.−1.8−5.4 C. 1.8 + 5.4 D.1.8−5.4
Please check over this!! 20 points! easy fractions
8 SIMPLE QUESTIONS
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QUESTION 1
All of the following fractions are proper fractions, except
A-11/12
B-7/5
C-1/6
or D- 8/15
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QUESTION 2
How could you model the fraction 3/8 with a circle?
A-Divide the circle into eight equal pieces, and shade three of them.
B-Draw three circles, and shade eight pieces.
C-Divide the circle into three equal pieces, and shade eight of them.
D-Divide the circle into eleven pieces, and shade one of them.
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QUESTION 3
Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls. Use / for the fraction line.
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QUESTION 4
Josh has eight pairs of white socks, two pairs of black socks, and one pair of blue socks. Write a fraction to represent the part of his socks that are white. Use / for the fraction line.
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hi I really need help with a and b. thank you
Austin is going to the movie theater. It is 3 3/5 miles from his house. Austin takes his scooter, but it breaks down 2/3 of the way to the theater. How far is Austin from his house?
Final answer:
Austin's scooter breaks down 2/3 of the way to the movie theater, which is 3 3/5 miles away from his house. After covering 2/3 of the journey, he is therefore 1 1/5 miles from his house.
Explanation:
Austin is going to the movie theater which is 3 3/5 miles from his house. When his scooter breaks down 2/3 of the way there, we need to calculate how far he is from his house. To find this, we multiply the total distance to the movie theater by the fraction 2/3:
3 3/5 miles = 18/5 miles (since 3 3/5 = 15/5 + 3/5 = 18/5)(18/5) * (2/3) = 36/15 = 12/5 milesThis means Austin covered 12/5 miles when his scooter broke down, leaving him with the remainder of the journey to complete:
Total distance - distance covered = 18/5 miles - 12/5 miles = 6/5 milesTherefore, Austin is 6/5 miles or 1 1/5 miles from his house.write an equation, in slope-intercept form, to model each sitution. : the population of pine bluff is 6791 and is decreasing at the rate of 7 per year.
Aa a member of a music club you can order CDs for $14.99 each the music Club also charges 4.99 for each shipment the expression 14.99n + 4.99 represents the cost of n CDs find total cost for ordering 3 CDs
n =3
equation 14.99n +4.99 =
14.99*3 + 4.99 = 44.97 + 4.99 = $49.96
Robert's recipe has 5 onions and 9 tomatoes for the pizza. Jeff's recipe has 8 onions and 10 tomatoes for the pizza. Whose recipe has a lower ratio of onions to tomatoes
Two quantities, x and y, are directly proportional. If you take a third of x, what happens to y?
A: It is tripled.
B: It is cubed.
C: It depends on the starting value of x.
D: It is multiplied by 1/3.
One-third of x will also give one-third of y. The correct option is D.
What is an expression?The mathematical expression is the combination of 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 two quantities, x and y, are directly proportional. If x is directly proportional to y it means that x varies directly with y.
x ∝ y
If multiply the value of x by ( 1 / 3 ) the value of y will also be multiplied by ( 1 / 3 ).
Therefore, one-third of x will also give one-third of y. The correct option is D.
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What is 45−−√ in simplest radical form?
which function is increasing? HELP
Hiya :)
The answer is
f(x)=5^x
Hope this helped!!!!
Have a great day!!!!
:)))
Suppose you randomly select a letter from BURGER AND STARBIRD. Imagine writing these letters on Ping-Pong balls – one letter per ball – then putting them all in a barrel and removing one. What is the probability of pulling out an R? What is the probability of pulling out a B? What is the probability of pulling out a letter that appears in the first half of the alphabet? What is the probability of pulling a vowel?
Use linear approximation to estimate 1/4.002
The estimation for 1/4.002 is approximately 0.2499.
Linear approximation involves using the equation of a line to estimate a value close to a given point. In this case, to estimate 1/4.002, we can use the fact that 1/4 is approximately 0.25 and find the equation of the line passing through 1/4 and 1/4.002.
To find the linear approximation, we first determine the slope between the two points, which is the derivative of the function at the known point. Then, we use the point-slope form of a line equation to find the approximation. Rounding to four decimal places, the estimate for 1/4.002 is approximately 0.2499
What is 35,506 divided by 438
If it takes 6 hr. for a 2,400 mi. flight from Philadelphia to Los Angeles, what is the average speed of the plane?
A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Write and solve an equation to find how many text messages x you had.
Answer:
An equation is 0.25x+30=59.5.
You had 118 text messages.
Step-by-step explanation:
the line plot below shows how many points fewer trevor scored in 20 games. In how many games did trevor score 18 points fewer?
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
A- 9(1 + 21)
B- 3(3 + 7)
C- 3(3 + 21)
D- 9(1 + 3)
Which digit in 98.765 is in the thousandths place
jill has $9.96 in nickles,pennies, and dollar bills. she has 12 more pennies than nickles and fove fewer dollar bills than nickles. how many of each does she have?
Jill has 14 nickels, 26 pennies, and 9 dollar bills.
To solve Jill's problem involving money in nickels, pennies, and dollar bills, we can use algebra. Let's define the variables as follows:
n for number of nickels
p for number of pennies
d for number of dollar bills
We know that:
p = n + 12
d = n - 5
A nickel is worth 5 pennies, so 5n represents the value of nickels in pennies.
Each dollar bill is worth 100 pennies.
In total, Jill has $9.96, which is the same as 996 pennies.
The total amount in pennies can be written as:
5n (nickels) + p (pennies) + 100d (dollar bills) = 996
Substitute the first two equations into the total:
5n + (n + 12) + 100(n - 5) = 996
Simplify and solve for n:
106n - 500 = 996
106n = 996 + 500
106n = 1496
n = 1496 / 106
n = 14
Using the values we just found for n, we can find p and d:
p = n + 12 = 14 + 12 = 26
d = n - 5 = 14 - 5 = 9
So, Jill has 14 nickels, 26 pennies, and 9 dollar bills.
The expression 3.14 x 10^3 is scientific notation for which of the following values?
A. 314
B. 3,140
C. 31,400
D. 314,000
The expression 3.14 x 10³ is scientific notation for B. 3,140.
What is meant by Scientific Notation?Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.
For example, 30,000 can be written as 3 × 10⁴.
So the given number is 3.14 x 10³.
The power of 10 has the number 3.
Hence the decimal point has to moved 3 decimal places to the right.
When it is moved to 1 place, it becomes 31.4.
When it is moved to 2 decimal places, it becomes 314.
When it is moved to 3 decimal places, it becomes 3140.
Hence the given expression is equivalent to 3140.
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a person who is at least 65 years old is often considered a senior citizen. Write an inequality that represents this situation
Paloma used these steps to solve the equation 6x+5=3(2x+1)6x+5=3(2x+1). Which choice describes the meaning of her result, 2=02=0?
The given equation 6x + 5 = 3(2x + 1) has no possible solution.
What is a mathematical function, equation and expression?function : A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
6x + 5 = 3(2x + 1)
The given equation is -
6x + 5 = 3(2x + 1)
6x + 5 = 6x + 3
5 = 3
Therefore, the given equation 6x + 5 = 3(2x + 1) has no possible solution.
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Consuela wrote the expression 2 × (31 + 47). She states that the expression is a product and that the expression (31 + 47) is a factor. Marcus states that the expression (31 + 47) is a sum of two terms. Who is correct? Explain.
Answer: They are both correct, A sum is anything added together, so 31 + 47 is a sum.
Which expressions result in a product that has a best estimate of 80? Select all that apply.
A. 0.82 x 112
B. 42.3 x 21
C. 1.2 x 78
D. 0.19 x 37
E. 8 x 9.62
Answer:
Step-by-step explanation:
E and B are he answers
Answer:
Step-by-step explanation:
i took it and it was a, c and e
if 2=27,what is the measure of the supplement of gbc
Which of the following is an equivalent form of the mixed number -12 3/4?
A) 45/5
B) -51/4
C) -45/4
D) -48/4