324÷ 5 use long division to determine each quotient. Write your answer as decimal
Answer:
64.8
Step-by-step explanation:
64.8
5/ 324.0
-30
24
-20
40
-40
0
Find the 69th term of the following arithmetic sequence.
2, 7, 12, 17, ...
Step-by-step explanation:
a=2
d=12-7=5
[tex]sn = \frac{n(2a + (n - 1)d)}{2} \\ s69 = \frac{69(2(2) + (69 - 1) \times 5)}{2} \\ s69 = 11868[/tex]
HOPE THIS HELPS!!
What are the coordinates of the original point, G?
The answer is (-4,3)
The reason is because you move -4 steps to the left. and 3 steps upward to get to G.
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Point F is on line segment EG. Given EG = 19 and EF = 15, determine the length FG.
The length of the line segment FG is equal to 4.
A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.
Consider a line segment EG,
Let's say F is a point on the line segment.
Then,
Now we have,
The length of the line segment EG = 19 and the length of the line segment EF = 15.
Now,
EG = EF + FG
Subtracting EF from each side,
EG - EF = EF + FG - EF
FG = EG - EF
Substituting the values of EF and EG in the above equation,
FG = 19 - 15
FG = 4
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Answer:
4
Step-by-step explanation:
19-15=4
Write the sentence as an inequality. 7/8 is at most the difference of twice a number m and 5/4 .
The inequality stated may be expressed as 2m - 5/4 ≤ 7/8.
What exactly is inequality?There are four sorts of inequality.
A < B means that A is less than B.
A > B means a is greater than B.
A ≥ B, a is bigger than or equal b.
A ≤ B, a is less than or equal.
In light of the posed query
The maximum difference between two numbers, m and 5/4, is equivalent to an inequality of the form 2m - 5/4 < 7/8.
The difference between two numbers, "m," and 5/4 is 2m - 5/4, which can only represent "less than" or "equal to."
∴ The formula for the given statement is 2m - 5/4 < 7/8.
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Help me quickly plss I’m on a time limit!
The required intersection would be at the point (55, 460) in the given graph which shows a round of golf is 55 and a total cost is $460.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
We have been given that the graph represents the following situation.
Golfers must first pay a $75 membership fee and an additional $7 for each round of golf in order to play at Gulf Shores Range.
Golfers at the Royal Estates Country Club pay $5 for each game of golf, but membership costs $185.
Since the x-axis represents a round of golf and the y-axis represents a total cost.
According to the graph,
Here is a round of golf = 55 and a total cost = $460
So the intersection represents this situation at the point (55, 460).
Therefore, the required intersection would be at the point (55, 460) in the given graph.
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Teacher Guided 1. In a book club, the ratio of male to the number of female members was 2:7. After 12 male members left the club, the ratio became 1:4. How many member were there in the book club at first?
Answer:
16
Step-by-step explanation:
Answer:
teacher guided 1 in a book
Step-by-step explanation:
Bob built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the sides of the box with special wallpaper that cost a total of $504. How much did the wallpaper cost per square foot?
The total cost of wallpaper is $4 per square foot as calculated from the surface area of the rectangular prism.
The total surface area is the total area of all the surfaces of an object. The surface area is calculated by the area of the surface in the form of the 2 dimensional representation.
Here the box is in the form of an rectangular prism , which means that the box is in the form of a cuboid.
From the figure we can see that the dimensions of the box are :
length = 6 feet
width = 5 feet
height = 3 feet
We know that the total surface area of a rectangular prism is given by:
2×(length × width + width ×height + height × length)
or, 2 × (6×5 + 5×3 + 3×6)
or, 126 ft²
Now the total cost for wallpaper is $504 .
Now to calculate the cost per square feet we will divide the total money by the total surface area.
∴Cost of the wallpaper per square foot=$(504÷ 126) per ft² = $4 per ft²
Hence the cost of the wallpaper is $ 4 per ft² .
Disclaimer: The figure of the prism is attached below.
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7/9-1/3 please help
Answer:
7/9=.77 infinite
1/3=.33 infinite
so
7/9-1/3=0.4444444 infinite
Step-by-step explanation:
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
A furniture store has a sale offering 10% off of all furniture. If Amanda spent $360.99 on furniture before tax, what was the price of the furniture she purchased before the discount and before tax?
The equation is____. The cost of the furniture before the discount and tax is $____
(Type an equation using x as the variable.)
The equation is [360.99 = (x - 0.10x)] and the cost of the furniture before the discount and tax is $ 401.1
As per the question statement, a furniture store has a sale offering 10% discount on all furniture, and Amanda spent $360.99 on furniture before tax.
We are required to determine the equation using which, we can calculate the price of the furniture before the discount and tax, and also the price of the furniture before the discount and tax.
So, let us assume that the original cost of the furniture (before the discount and tax) is "x".
As per the question statement, Amanda spent $360.99 on furniture before tax, but with the discount applied over the original cost of the furniture, i.e.,
We can form a linear equation with the assumed variable "x" and the condition mentioned above, and solve the equation to obtain our required answer.
360.99= [x-(10/100*x)}
0r 360.99=(x-x/10)
or 360.99=(10x-x)/10
or 360.99=9x/10
x=401.1
Hence, the equation is [360.99 = (x - 0.10x)] and the cost of the furniture before the discount and tax is $ 401.1
Equation: In mathematics, an equation is a formula or a statement, that expresses the relation of equality between two expressions, by connecting them with the "equal to" sign.To learn more about Equations, click on the link belowbrainly.com/question/24225997
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ST=3x+3 and TU=2x+9
what is the value of ST?
The value of ST is 21
How to determine the valueNote that line S, U and T are points in a line segment
From the information given, we have that;
ST = TU
Where;
ST = 3x + 3TU = 2x + 9Substitute the values into the equation
3x + 3 = 2x + 9
collect like terms
3x - 2x = 9 - 3
Subtract like terms
x = 6
But we have that ST = 3x + 3 = 3(6) + 3 = 18 + 3 = 21
Thus, the value of ST is 21
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What is the equation of the slant asymptote of the rational function?
f(x)=10x3−15x2+x−15x2−2
Responses
y=x−3
y equals x minus 3
y=2x−115
y equals 2 x minus fraction 11 over 5
y=2x−3
y equals 2 x minus 3
y=x−115
y equals x minus fraction 11 over 5
Using division of polynomials, the equation of the slant asymptote of the rational function is given by:
y = 2x - 3.
How to find the slant asymptote of a rational function?Suppose a rational function given by a division of two functions, as follows:
r(x) = f(x)/g(x).
The slant asymptote of the function is nothing more than the quotient of functions f(x) and g(x), that is, the division of functions f(x) and g(x).
For this problem, the function is:
r(x) = (10x³ - 15x² + x - 1)/(5x² - 1).
Hence:
f(x) = 10x³ - 15x² + x - 1.g(x) = 5x² - 1.Using a calculator, the division of these two functions is:
y = 2x - 3 + (3x - 4)/(5x² - 1)
3x - 4 is the remainder, but we consider only the quotient, hence the equation of the slant asymptote of the rational function is given by:
y = 2x - 3.
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The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 6,427 more than Bowden. If the combined capacity for the two stadiums is 210,355, find the capacity for each stadium.
The capacity for the Bowden and Marshfield Stadiums are 101, 954 and 108, 381 respectively.
How to determine the valueLet the Bowden Stadium be x
From the information given, we have that;
Bowden Stadium = xMarshfield Stadium = x + 6,427Sum of both Bowden and Marshfield Stadiums = 210,355This can be represented as;
x + x + 6,427 = 210,355
collect like terms
2x + 6427 = 210,355
2x = 210, 335 - 6427
2x = 203, 908
Make 'x' the subject
2x/2 = 203, 908/ 2
x = 101, 954
Then,
Bowden Stadium = x = 101, 954
Marshfield Stadium = x + 6,427 = 101, 954 + 6,427 = 108, 381
Thus, the capacity for the Bowden and Marshfield Stadiums are 101, 954 and 108, 381 respectively.
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Rounding Decimals (pt 2)
questions
1) 10.044 (2 decimal place)
2) 5.903 (1 decimal place)
89 children were at a party. When 50% of the girls and 20% of the boys left, there were 55 children remaining at the party. How many boys were at the party at first?
Answer:
Step-by-step explanation:
x: boy
y: girl
x+y=89 & 89-(0.2x+0.5y)=55
⇒x+y=89 & 0.2x+0.5y=34
⇒ x=35 & y=54
In the triangles below, m/B = m/P and m/T = m/J. What is the length of pq
Answer:
5 1/3
Step-by-step explanation:
Apply +133.3% to the sides
Find the degree of the polynomial and determine whether it is a monomial, binomial, trinomial, or none of these.
13x²-x³-13x4
What is the degree of the polynomial?
A whole number rounded to the nearest hundred is 9,452,600. What is the greatest possible value for that number?
Answer: 9,452,599
Step-by-step explanation:
it is the closest number to the 100th place without going into decimals
Find the domain of the function g(x)= 4/x^2 +3x +2. Write your answer in set builder notation
Answer:
[tex] \{x|x \neq -2, -1 \}[/tex]
Step-by-step explanation:
The denominator cannot equal 0 because division by zero is undefined.
[tex]x^2 + 3x+2 \neq 0 \implies (x+1)(x+2) \neq 0 \implies x \neq -1, -2[/tex]
[tex]\therefore \{x|x \neq -2, -1 \}[/tex]
Answer:
[tex] \{x|x \neq -2, -1 \}[/tex]
Step-by-step explanation:
The denominator cannot equal 0 because division by zero is undefined.
[tex]x^2 + 3x+2 \neq 0 \implies (x+1)(x+2) \neq 0 \implies x \neq -1, -2[/tex]
[tex]\therefore \{x|x \neq -2, -1 \}[/tex]
What is the overall average number of hours per month of social media use for the countries listed? How does this average compare to your own social media use?
Internet users worldwide spent an average of 147 minutes per day on social media as of 2022, up from 145 minutes the year before.
Currently, the Philippines is the nation where people spend the most time on social media each day, with an average of three hours and 53 minutes each day. In contrast, Americans only spent two hours, and three minutes every day on social media.
The collection, description, analysis, and drawing of conclusions from numerical data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Calculus, specifically differential and integral calculus, as well as linear algebra and probability theory, are key components of the mathematical ideas that underpin statistics.
Hence, People typically use social media for 147 minutes every day, or two hours and 27 minutes.
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Santiago makes 12 dozen cookies for a bake sale. He needs 3/4 teaspoon of baking soda for each dozen. How many total teaspoons of baking soda will Santiago need?
Answer: Santiago will need 9 teaspoons of baking soda.
Step-by-step explanation:
Convert 3/4 into a decimal (You don't have to. It just makes it a little easier).
3/4 = 0.75
12 * 0.75 = 9
NO LINKS!
Please help me
Reason:
If we were asked to compute log(ab), then we could use this log rule
log(ab) = log(a) + log(b)
However, we aren't multiplying the 'a' and b, so we cannot use the log rule above. There's not enough information to be able to compute log(a+b)
Choice C is a trick answer I've seen many students fall for since the erroneous thinking would be log(a+b) = log(a)+log(b) = 1.2+5.6 = 6.8
Answer:
b) Not enough information
Step-by-step explanation:
Given the logs of two values, you want to know the log of their sum.
Rules of logarithmsThe logarithm function cannot be applied to a sum. The purpose of the logarithm function is to turn the log of a product into a sum of logs. The logarithm function cannot be applied to a sum.
The only way to determine the log of the sum is to take the antilogs of the given values, add them, then take the log of the result.
Log(a+b)Assuming the base of the logarithms is 10, using the strategy just described, we can compute ...
log(a +b) = log(10^log(a) +10^log(b)) = log(10^1.2 +10^5.6)
≈ log(15.848932 +398,107.17) ≈ log(398,123.02)
≈ 5.6000173 . . . . using base 10 logs
If these are natural logs, which are also often written as log(x), as well as ln(x), then the log of the sum is about
log(e^1.2 +e^5.6) ≈ 5.6122026 . . . . using base e logs
The short answer is, there is not enough information. (The base of the logarithms must be known.)
−7.94 + 2.5
−5.44
−8.19
−10.44
54.40
Answer:
−5.44
Step-by-step explanation:
−7.94 + 2.5
Calculate
−5.44
Given the function, complete the table of values then graph the ordered pairs.
Answer: a
Step-by-step explanation:
5,270÷59 what is IT brbr.rnrr
Answer:
89.3220338983
Step-by-step explanation:
good luck
Which single power is equivalent to the expression (4³)²
----
4²
The single power that is equivalent (4³)² to is 4^6.
What is power?This is a term in mathematics to refer to the exponents. The given expression is four to the power of three all to the power of two. Exponents helps to represent equations and makes it easier to remember and handle.
Given data
(4³)²
How to solve (4³)²This could be solved using the laws of indices
(4³)² = 4³ * 4²
4³ * 4² = 4³ *² = 4^6
Hence we can say that the single power that is equivalent (4³)² to is 4^6.
base = 4
power = 6
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You drive 15 miles North and then head East and drive an additional 25 miles. What is your total dis- tance?
Answer: 40
Step-by-step explanation: the answer is only 40 if you are doing addition. and i did 15 + 25. 15 +25 is 25 + 10 = 35+5 =40
Regan swims for the Sharks swim team. Last season, the Sharks won 5 swim meets for every 3 they lost.
Pick the diagram that models the ratio in the story.
If the Sharks had 16 swim meets in all, how many did they win?
If the Sharks had 16 swim meets in all, they won 10 swims.
Given,
Regan swims for the Sharks swim team. Last season, the Sharks won 5 swim meets for every 3 they lost.
We need to find out if the Sharks had 16 swim meets in all, and how many did they win.
How to compare two units?Example:
2 cups = 4 eggs
To find for 4 cups.
We need to multiply 2 so that 2 cups becomes 4 cups.
4 cups = 2 x 4 eggs = 8 eggs
We have,
5 sims own for every 3 swims lost.
We can write it as:
5 own = 3 lost
Multiply 2 on both sides
2 x 5 own = 2 x 3 lost
10 own = 6 lost
We have,
16 swims in total.
It can be written as,
10 own = 6 lost
And we see that,
10 + 6 = 16 swims
Thus,
If the Sharks had 16 swim meets in all, they won 10 swims.
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describe the relationshipbetween the values of the digits in the 9,999,999
Answer:
You can multiply 10 to get each place value 9 x 10 = 90
90 x 10 = 9000
9000 x 10 = 90,000
Step-by-step explanation:
Sorry if it doesn't help
Kayla wants to coach basketball. The Lady Falcons will pay her a monthly salary of
$2250 plus a bonus of $75 for every game they win. Their rival, the Lady Hornets
offered her a greater monthly salary of $2750 but only gives a bonus of $25 for every
game they win. Write a system of linear equations to determine how many games they
would have to win in order to receive the same pay from either team.
Write the system. You do not need to solve.
Answer:
[tex]$ \left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right. $[/tex]
If Kayla's team wins 10 games on each team, she would be paid the same amount.
Step-by-step explanation:
Hello!
Let the amount of money earned be y, and the number of games they win be x.
For the Lady Falcons, the equation would be y = 2250 + 75x.
For the Lady Hornets, the equation would be y = 2750 + 25x.
The system would be [tex]\left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right.[/tex].
_______________________________________________________
The question says not to solve, but we are going to solve it anyway for practice.
Solve the Systemy = 2250 + 75xIf Kayla's team wins 10 games on each team, she would be paid the same amount.
