The required fraction of the ice cream cones sold were either chocolate or vanilla is 5/6.
What is Least Common Denominator?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
We have been given that of the ice cream cones sold yesterday at Percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla.
We have to determine the fraction of the ice cream cones sold were either chocolate or vanilla
1/3 equals 2/6
According to the given question,
The fraction of either vanilla or chocolate will be:
⇒ 1/3 + 1/2
Change into a lowest common denominator,
⇒ 2/6 + 3/6
Apply the addition operation to get
⇒ 5/6
Therefore, the required fraction of either vanilla or chocolate is 5/6.
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If a system of linear equations has the unique solution (2, −3), then its graph consists of what?
parallel lines
lines that intersect at a single point
identical lines
a y-intercept at −3
Answer: B - lines that intersect at a single point
Answer:
Answer: B - lines that intersect at a single point
Step-by-step explanation:
glad i helped
What is the solution to the following system of linear equations?
{4x - y = -6
{x - 2y = -5
Please explain how you solved!
Final answer:
The solution to the system of linear equations is x = -1, y = 2
Explanation:
To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2
A moving company charges a $2,000 fee plus $100 per hour. Another moving company charges an $1,800 fee plus $150 per hour. How long is a job for which the two companies' costs are the same?
The costs of two moving companies are the same for a job that lasts 4 hours.
To find out how long a job must last for the two companies' costs to be the same, we need to set up an equation where both company costs are equal and solve for the time variable, which I will denote as 't' hours.
The first moving company's cost can be represented as:$2,000 + $100 x t.
The second moving company's cost can be represented as: $1,800 + $150 x t.
To find the time when both costs are the same, we set the two expressions equal to each other:
$2,000 + $100t = $1,800 + $150t
Now, we need to solve for 't' by subtracting $100t from both sides and subtracting $1,800 from both sides:
$200 = $50t
Divide both sides by $50 to isolate 't':
t = 4 hours
So, the two companies would have the same cost for a 4-hour job.
What is the area of a triangle whose vertices are
R(−4, 2),S(1, 2), and T(−5, −4)?
Enter your answer in the box
What is the multiplicative rate of change of the exponential function shown on the graph?
A) 2/9
B) 1
C) 4
D) 9/2
Answer:
Option: D is correct.
9/2
Step-by-step explanation:
We have to find the multiplicative rate of change of the exponential function shown on the graph.
We know that a general exponential function is given as:
[tex]y=ab^x[/tex]
where b is the multiplicative rate of change.
Now when x=0 we have y=1.
i.e. 1=a
Hence, a=1
and y=b^x
Also,
the graph passes through (1,9/2)
Now when x=1 we have y=9/2
i.e.
9/2=b
Hence, the multiplicative rate of change is:
9/2
The correct answer is A) 2/9. The multiplicative rate of change of the exponential function shown on the graph is A) 2/9.
To determine the multiplicative rate of change of an exponential function from its graph, we need to identify two points on the graph that are one unit apart horizontally (i.e., one unit apart in the x-direction). The multiplicative rate of change is the ratio of the function values (y-values) of these two points.
Let's assume we have two points, (x, y) and (x+1, y'), where y and y' are the corresponding y-values of the exponential function at these x-values. The multiplicative rate of change, r, is given by:
[tex]\[ r = \frac{y'}{y} \][/tex]
From the graph, we can identify two such points. For example, if the function passes through the y-axis at (0, 1) and then at (1, 2/9), we can calculate the multiplicative rate of change as follows:
[tex]\[ r = \frac{2/9}{1} = \frac{2}{9} \][/tex]
This is the multiplicative rate of change of the exponential function. It indicates that for every unit increase in x, the y-value is multiplied by 2/9.
Therefore, the multiplicative rate of change of the exponential function shown on the graph is A) 2/9.
what is cos of negative pi/3?
what is sin of negative pi/3?
which number belongs to the solution set of the equation below? 9x=114
A.14
B.16
C.12
D.18
Which statement is true about the line passing through points A and B?
A. The line has a finite length that can be measured.
B. There is only one way to name the line.
C. The line has infinitely many points.
D. There are only two points on the entire line.
The length of a rectangle is twice its width. if the perimeter of the rectangle is 54 ft , find its length and width.
Find a cubic function with the given zeros. Square root of two., - Square root of two., -2 A. f(x) = x^3 + 2x^2 - 2x + 4 B. f(x) = x^3 + 2x^2 + 2x - 4 C. f(x) = x^3 - 2x^2 - 2x - 4 D. f(x) = x^3 + 2x^2 - 2x - 4
The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 3030 hours and the median is 26.226.2 hours. twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. the 11th11th percentile of the data is 1515 hours. step 2 of 5 : approximately how many families are in the sample? round your answer to the nearest integer.
Write each number as the product of its prime factors
1.) 76
2.) 35
3.)36
4.) 150
5.)180
6.) 520
please help i have 30 mins to get these answered!! :(
what would 3/4 - 3/4 be?
what is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? A: 6/5-y B: 6/5+y C:6(5+y) D: 6/5 + 6y
The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
Here,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
We have to find the algebraic expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
Quotient means fraction and sum of 5 and y is 5 + y.
Hence, The algebraic expression is;
⇒ 6 / 5+y
Therefore, The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
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5/16t=-9
Plz help me ASAP and show all of the steps that you did! PLEASE HELP!!! :) 10 POINTS!!!!!
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
Answer:
The answer is -3x^2+6
Add. Write your answer in simplest form. 3/5 + 5/8
How to write an equation with an undefined slope?
If a number is rational then it must be a whole number true or false
Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the statement, what do you do?
Marks canoes rents for $20 plus $35 per hour you do not want to spend more than $1.50.for how many hours can you afford to rent the canoe
Factor this polynomial using the GCF: 3xy^2 + 3xy^2 - 3xy
3xy(y + x - 1)
-3xy(y + x + 1)
3x(y2 + x - 1)
3x^2(y2 + 1 - 1)
What is the perimeter of a square with an area of 144 square inches?
What is an angle that is congruent to bgd?
Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42
Kristen bought 2 candy bars for $1.29 each and a soda for$1.99. She had to pay $0.38 in tax. How much was her bill?
Answer:
$4.95
Step-by-step explanation:
1.29 * 2 = 2.58 + 1.99 = 4.57
4.57 + .38 = 4.95
Is the product of two integers positive negative or zero how can you tell?
Find the opposite and reciprocal of -1.8.
What are the solutions to x2 8x 7 = 0? x = –8 and x = –7 x = –7 and x = –1 x = 1 and x = 7 x = 7 and x = 8?
The correct solutions to the given equation are x = 1 and x = 7.
The solutions to the equation x² - 8x + 7 = 0 are x = 1 and x = 7.
To find these solutions, we can factor the quadratic equation by finding two numbers that multiply to 7 (the constant term) and add up to -8 (the coefficient of the x term).
Therefore, the correct solutions to the given equation are x = 1 and x = 7.
what is the measure of <DCF
Answer:
The measure of angle DCF is 129 degrees.
Step-by-step explanation:
Angle DCF is the sum of angle DCE plus angle ECF.
This is because, DCF is the main angle and DCE and ECF are its two parts.
Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.
The answer is :
The measure of angle DCF is 129 degrees.