To solve the word problem, we set up and solved an algebraic equation. Maggie's original number is approximately 4.31 after converting the written problem into the equation 3x - 8 + 10x = 48 and solving for 'x'.
The goal is to translate the word problem into an algebraic equation and solve for the unknown number. If Maggie is thinking of a number, let's use 'x' to represent this unknown number. According to the problem, she multiplies the number by 3, subtracts 8, and then adds 2 times the original number 5 times. The result of these operations is 48. Here's how you set up the equation:
3x - 8 + 10x = 48
The next step is to combine like terms:
13x - 8 = 48
Now we add 8 to both sides of the equation:
13x = 56
The last step is to divide both sides by 13 to solve for x:
x = 56 / 13
x = 4.3077 or approximately 4.31 if rounded to two decimal places.
Therefore, Maggie's number is approximately 4.31.
The radius,
R
, of a sphere is
5.8m
. Calculate the sphere's volume,
V
.
Use the value
3.14
for
π
, and round your answer to the nearest tenth.
Evaluate 0!÷1!.
0
1
undefined
Answer:
it is actually not undefined because of the (!), due to this the answer is 1
Step-by-step explanation:
0! 1 5! 120
1! 1 6! 720
2! 2 7! 5,040
3! 6 8! 40,320
4! 24 9! 362,880
those are the factorial calculations
Point E has a negative x-coordinate, and its y-coordinate is not 0
Where could point E be located on the coordinate plane?
Which is greater 2 gallons or 8 liters?
Suppose that there were a negative correlation between the variables a and b. If b is 90 when a is 8, which of these is most likely to be the value of b when a is 16?
A. 105
B. 120
C. 90
D. 45
Answer:
45 is correct
Step-by-step explanation:
AT THANKSGIVING DINNER, EMMA'S FAMILY ATE 1/3 OF A PUMPKIN PIE. WHAT FRACTION OF THE PIE WAS LEFT OVER?
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Total pumpkin in fraction = 1
= 1 - 1/3
= 2/3
The fraction of the pie left over is 2/3
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pumpkin pie eaten by the family = 1/3
Let the total pumpkin in fraction = 1
Now,
The fraction of the pie left over.
= 1 - 1/3
= (3 -1)/ 3
= 2/3
Thus,
The fraction of the pie left over is 2/3
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A first number plus twice a second number is 13 twice the first number plus the second totals 20 find the numbers
What is 8/25 as a percentage?
susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six months installments. what will be the amount of each monthly payments?
Susan's down payment for the paddle boat is $168, with the remaining $672 divided into six monthly payments of $112 each.
Susan wants to buy a paddle boat for $840. She will pay 20% down and the rest in six monthly installments. To calculate the down payment, we calculate 20% of $840, which is $168.
The remaining amount after the down payment is $840 - $168 = $672. This remainder will be paid in six monthly installments, so we divide $672 by 6 to get the monthly payment amount.
The amount of each monthly payment will therefore be $672 / 6 = $112 per month.
Therefore, as per the above explaination, the correct answer is $112.
Which of the following is the expansion of (2m - n)7?
Answer: 128m⁷ - 448m⁶n + 672m⁵n² - 560m⁴n³ + 280m³n⁴ - 84m²n⁵ + 14mn⁶ - n⁷
Step-by-step explanation:
2023 edge
What is the solution to the equation -2n -2 / 3 =12 ? n =
2-5|5m-5|=-73 absoute value
45 equals the quotient of a number n and 3
The equation representing the student's question is 45 = n / 3. To find n, we multiply both sides by 3, resulting in n = 135.
Explanation:The student's question, "45 equals the quotient of a number n and 3," can be translated into a mathematical equation. The word 'quotient' indicates a division operation. We set up the equation as 45 = n / 3.
To find the value of n, we multiply both sides of the equation by 3, giving us 3 * 45 = n. Therefore, n equals 135. The solution to this problem demonstrates how to manipulate an equation to solve for an unknown variable.
In this question, 45 is equal to the quotient of a number, represented by n, and 3.
We can represent this equation as:
45 = n / 3
To find the value of n, we can multiply both sides of the equation by 3:
45 * 3 = n
Therefore, n is equal to 135.
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Which law would you use to simplify the expression (x^⁴)⁹ ?
A. product of powers
B. power of a product
C. power of a quotient
D. power of a power
if you see this similar format you will recognize the equation as power of a power ^^•
A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.
Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?
Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?
Answer: [tex]2000x+1500y\leq150,000[/tex]
[tex]\Rightarrow x+\leq200[/tex]
Step-by-step explanation:
Let x be the number of loads by land carriers and y be the number of loads by air carriers.
Given: A mall distribution center processes as many as 150,000 pieces of mail each day.
Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.
[tex]2000x+1500y\leq150,000[/tex]
The loading equipment is able to handle as many as 200 loads per day.
[tex]\Rightarrow x+\leq200[/tex]
Hence, the system of inequalities represents the situation is
[tex]2000x+1500y\leq150,000[/tex]
[tex]\Rightarrow x+\leq200[/tex]
Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L? Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L?
The Shelby University rose garden is a rectangular shape with an area of 192 square feet. The dimensions of the garden are x^2 feet wide by x^2– 61 feet long. How wide is the garden?
a. 3 feet c. 64 feet
b. 8 feet d. 131 feet
...?
Solve the inequality.
y – 5 ≥ 11
The solution to the inequality y - 5 ≥ 11 is y ≥ 16.
To solve the inequality y - 5 ≥ 11,
we need to isolate the variable y on one side of the inequality sign.
Adding 5 to both sides of the inequality, we have:
y - 5 + 5 ≥ 11 + 5
Simplifying, we get:
y ≥ 16
Therefore, the solution to the inequality y - 5 ≥ 11 is y ≥ 16.
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A basketball player is 15 ft horizontally from the center of the basket, which is 10 ft off the ground. At what angle should the player aim the ball if it is thrown from a height of 8.2 ft with a speed of 29 ft/s ?
Find the coordinates for the vertex of the graph of the function y = 3x^2- 12x + 12
Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what number must be added to the set so that the mean of the 6 numbers is 9?
You know that a certain trait occurs in 30% of the population. You want to know how many individuals you have to draw from the population, on average, to get three subjects with the trait.
To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution. The average number of trials until the third success can be calculated by dividing 1 by the probability of success.
Explanation:To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution.
The probability of success (finding an individual with the trait) is 30% or 0.30, and the probability of failure is 70% or 0.70.
To calculate the average number of trials until the third success, you divide 1 by the probability of success:
1 / 0.30 = 3.33
Therefore, on average, you would have to draw from the population about 3.33 individuals to get three subjects with the trait.
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explain how to solve the following system of equations. what is the solution to the system? 2x+2y+z =-5
3X plus 4Y plus 2Z = zero
X plus 3Y plus 2Z= zero
Five boxes of candles contain a total of 60 candles. each box holds the same number of candles.
Answer:
60/5=12
Step-by-step explanation:
An electrician charges a $50 house call fee and $65 per hour for work
a student finds the slope of a line between (14,1) and (18,17). she writes 1-17/18-14 what mistake did she make?
Answer:
Mistake was in denominator.
Step-by-step explanation:
If a line passes through two points ( a, b ) & ( c, d )
Then slope of this line will be = [tex](\frac{d-b}{c-a})[/tex]
Now we come to the question.
a student finds the slope of a line passing through ( 14, 1 ) and ( 18, 17 ) as
slope = [tex](\frac{1 - 17}{18-14})[/tex]
This formula is not the form of [tex](\frac{d-b}{c-a})[/tex]
Accurate answer should be
slope = [tex](\frac{1-17}{14-18})[/tex]
So mistake was in denominator.
I am the number that is divided in a division problem
When you add the number 1, and then add 1, what do you get??
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.
If m arc AB = 120°, then which of the following have measures of 60°? (pick as many as you want)
a)∠ADB
b)∠ACD
c)∠BCA
d)∠BAD
e) m arc BC
The correct answers are:
a)∠ADB; and c)∠BCA.
Explanation:
The measure of an intercepted arc is twice as much as the measure of its inscribed angle. AB corresponds with both ∠ADB and ∠BCA. Since the arc is 120°, each angle would be half of that, or 60°.