To find the fraction of people who chose the fourth drink, we subtract the fractions of people who chose the other three drinks from 1. The fraction is 3/30.
Explanation:To determine the fraction of people who chose the fourth drink, we need to subtract the fractions of people who chose the other three drinks from 1.
The fraction of people who chose Orange Crush is 1/3, the fraction of people who chose Killa Kola is 2/5, and the fraction of people who chose Lime Sublime is 1/6.
To find the fraction of people who chose the fourth drink, we subtract the sum of these three fractions from 1: 1 - 1/3 - 2/5 - 1/6.
To simplify this calculation, we can find a common denominator for the fractions. The least common multiple of 3, 5, and 6 is 30.
Converting the fractions to have a denominator of 30, we get: 30/30 - 10/30 - 12/30 - 5/30 = 3/30.
Therefore, the fraction of people who chose the fourth drink is 3/30.
Simplify and express the answer as a decimal. (−3+6) 2 ÷4.5
y = -3x - 2
4y = -12x - 8
how many solutions does the system have?
Final answer:
The system of equations y = -3x - 2 and 4y = -12x - 8 is dependent with an infinite number of solutions because both equations represent the same line.
Explanation:
The system of equations given is:
y = -3x - 2
4y = -12x - 8
If we examine the second equation, we can simplify it by dividing everything by 4, yielding:
y = -3x - 2
Both equations are now identical, which implies that they are the same line graphed on a coordinate plane. The system is considered dependent, and the number of solutions is infinite because every point on the line y = -3x - 2 is a solution to the system.
Find sum or difference.
1/6 + 3/8
A. 4/6
B. 4/8
C. 4/14
D. 13/24
find common denominator:
6*4 =24, 8*3 = 24
1/6 = 4/24
3/8 = 9/24
4/24 + 9/24 = 13/24
Answer is D
Plz Helppppp and can u explain why ?
the recommended heart rate for weight management exercise and improving cardio fitness, i beats per minute, depends on a person's age and can be represented by the expression 0.7(220-a)
What are the coefficents
in 5a + 6b- 7c
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer.
Which table shows a proportional relationship? x 1 2 3 4 5 y 9 10 11 12 13 b 1 4 5 7 11 c 3 12 15 21 33 p 1 3 5 7 9 q 0 2 4 6 8 r 3 6 10 12 15 s 2 4 6 8 10
Proportional relationships are relationships between two variables where their ratios are equivalent. b and c represents Proportional relationships.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
The first table is
x 1 2 3 4 5
y 9 10 11 12 13
The ratios are not same
1/9, 2/10=1/5, 3/11, 4/12=1/3, 5/13
So it is not a proportional relationship.
b 1 4 5 7 11
c 3 12 15 21 33
The ratios are same .
1/3, 4/12=1/3, 5/15=1/3, 7/21=1/3, 11/33 =1/3.
Hence b and c table shows proportional relationship.
p 1 3 5 7 9
q 0 2 4 6 8
The ratios are not same it does not show proportional relationship.
r 3 6 10 12 15
s 2 4 6 8 10
The ratios are not same it does not show proportional relationship.
Hence the table b and C shows proportional relationship.
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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Answer: Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
(No answer choices) Please explain well!
Answer:
3
Step-by-step explanation:
The cost of a car, in dollars, t years after its purchase is $20,000 - $3,000t.
Which statement is correct?
A.
The cost of the car depreciates every year by $3,000.
B.
The cost of the car depreciates every year by $20,000.
C.
The cost of the car increases every year by $3,000.
D.
The cost of the car increases every year by $20,000.
The correct statement is that the cost of the car depreciates every year by $3,000. This is determined by analyzing the provided depreciation formula, $20,000 - $3,000t, where t is the number of years after purchase.
Explanation:The cost of a car, in dollars, t years after its purchase is described by the equation $20,000 - $3,000t. This equation indicates that the value of the car is decreasing by a fixed amount each year. Taking a closer look at the formula given, we can see that the t variable, which represents time in years, is multiplied by $3,000. This $3,000 is then subtracted from the initial value of the car, $20,000. Therefore, each year, the value of the car decreases by this amount of $3,000.
Given the options:
A. The cost of the car depreciates every year by $3,000.B. The cost of the car depreciates every year by $20,000.C. The cost of the car increases every year by $3,000.D. The cost of the car increases every year by $20,000.The correct answer is:
A. The cost of the car depreciates every year by $3,000.
The correct statement is A. The cost of the car depreciates every year by $3,000, which can be deduced from the depreciation equation of the car's value over time.
Explanation:The cost of a car, in dollars, t years after its purchase is given by the equation $20,000 - $3,000t. This equation represents a linear function where the initial value of the car is $20,000 and it decreases by $3,000 for each year t that passes. Therefore, the correct statement is:
A. The cost of the car depreciates every year by $3,000.
Each year that passes, the term $3,000t increases by $3,000 since t increments by 1, thus reducing the overall value of the car by another $3,000.
Which diagram does not result in the expression 4x+4
Beth read 10 pages in a book stopping at the top of page a on what pages did she begin
need help with #12 please
1/4 0f 15? What is the answer
The area of a rectangle is 117 square meters the width is 9 meters what is the length of the rectangle
Ali's dog weighs 8 times as much as her cat.together,the two pets weigh 54 pounds. How much does Ali's dog weigh?
A shoe store marks up its merch by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50?
What is the distance between -7.5 and -15.3 on a number line
The distance between points -7.5 and -15.3 on a number line is 7.8.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers on number line are -7.5 and -15.3.
Now, Distance between -7.5 and -15.3 can be calculated as;
= - 7.5 - (-15.3)
= - 7.5 + 15.3
= 7.8
Thus, The distance between points -7.5 and -15.3 on a number line is 7.8.
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PLEASE HELP 20 POINTS
Calculate the Average Time and Average Speed for each vehicle.
Car 1 Car 2
Trial 1 = 4.12 seconds 8.33 seconds
Trial 2 = 4.41 seconds 8.25 seconds
Trial 3 = 3.96 seconds 8.66 seconds
Average Time = ? ?
Distance = 2 meters 2 meters
Average Speed= ? ?
How do you turn percents into fractions?
Step 1: You want to remove the percent sign and then put the number over 100.
Step 2: If the percent is not a whole number then you want to multiply the top and bottom number by 10 but only for every number that comes after the decimal point.
Step 3: Always simplify if possible.
Examples:
43% = [tex]\frac{43}{100}[/tex]
78% = [tex]\frac{78}{100}[/tex] = [tex]\frac{39}{50}[/tex]
0.4% = [tex]\frac{0.4}{100}[/tex] = [tex]\frac{4}{1000}[/tex] = [tex]\frac{1}{250}[/tex]
Converting percents to fractions involves writing the percent as a fraction with a denominator of 100 and then simplifying. For example, 75% is equivalent to 75/100, which simplifies to 3/4. Decimals can be converted to percents by multiplying by 100 and adding the percent sign.
Converting Percents to Fractions
To convert a percent to a fraction, start by writing the percent value as a fraction with a denominator of 100. For example, 75% would be written as 75/100. The next step is to simplify the fraction if possible. To simplify, you find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number. For instance, the GCD of 75 and 100 is 25, so when we divide both the numerator and the denominator by 25, we get 3/4. Hence, 75% as a fraction in simplest terms is 3/4.
When converting to decimals, simply divide the numerator by the denominator. So, 75% becomes 0.75 when turned into a decimal. Conversely, to convert a decimal to a percent, you multiply by 100 and add the percent symbol (%). For instance, converting the decimal 0.75 to a percent, you would calculate 0.75 * 100 which equals 75%, completing the conversion.
Calculating percents is about understanding the ratio or fraction that the percent represents. The term 'percent' literally means 'per hundred', so any percent can be thought of as that number over 100. For example, 3% means 3/100 and 100% represents a whole or 1 as it's equivalent to 100/100.
Divide. Use partial quotients. 1056÷48
Please help! Which of the following is an example of an open equation? 5x+7=12 12+(-8)=4 25=5(5) 8+0=8
Solve the equation 1/8x=5
The value of x in the equation is 40.
How to solve equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
In other words, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore, let's solve for the variable x in the equation as follows;
1 / 8 x = 5
cross multiply
x = 8 × 5
x = 40
The value of x is 40.
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Jodys older brother is only three years less than twice Jodys age. If the sum of their ages is 30, then which of the following is the age of jodys brother? A)7 B)11 C)19 D)23
Jody's older brother's age can be found using the equation x + 2x - 3 = 30 and solving for x. The answer is C) 19.
Explanation:To solve this problem, we can set up an equation using Jody's age and Jody's older brother's age. Let's let Jody's age be x. According to the problem, Jody's older brother is three years less than twice Jody's age, so his age is 2x - 3. The problem also tells us that the sum of their ages is 30, so we can write an equation: x + (2x - 3) = 30. Solving this equation will give us the age of Jody's older brother.
Combining like terms and solving the equation, we get 3x - 3 = 30. Adding 3 to both sides, we get 3x = 33. Dividing both sides by 3, we find that x = 11. Therefore, Jody's older brother's age is 2x - 3 = 2(11) - 3 = 22 - 3 = 19.
So, the correct answer is C) 19.
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PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
1.)The system of equations is graphed on the coordinate plane.
y=x−1y
−2x− 4
Enter the coordinates of the solution to the system of equations in the boxes.
(__,__)
Answer:
Step-by-step explanation:
The correct answer is: (-1, -2)
this is how i got my answer: by examining the point of intersection of the lines of the 2 graphs show in the we can see that the point of intersection is at (-1, 2) Answer: x = -1, y = 2 ∀∈
5(x – 2) = 30 Help her follow these steps to finish solving for x.
5(x-2) = 30
distribute the 5 by multiplying it with what is inside the parenthesis
5x-10 = 30
add 10 to both sides:
5x = 40
divide both sides by 5
x = 40/5
x = 8
If Sam invested $3,000 and he earned $300 over six months, the principal is _____.
Factor the expression. 50k^3 – 40k^2 + 75k – 60
Answer:
ur final answer will be 5 x (2k^2+3) x (5k-4). its correct i just did the test
Step-by-step explanation:
Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)