Answer:
The simplified ratio of hotdogs to hamburger is;
\(3\colon2\)Explanation:
To simplify the ratio of hotdogs to hamburger we need to divide the ratio by their highest common factor(HCF).
Given the ratio as;
\(9\colon6\)The HCF of 9 and 6 is 3.
dividing both ratio by 3, we have;
\(\frac{9}{3}\colon\frac{6}{3}=3\colon2\)Therefore, the simplified ratio of hotdogs to hamburger is;
\(3\colon2\)Jaxon Rollison
10 of 1410 of 14 Items
Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answer:
6200
Step-by-step explanation:
first find how much she would make purely based on hours worked:
8x40 = 320 dollars
next subtract this from total on her paycheck so 692-320 is 372
we know that 372 is 6% of a number so...
\(\frac{6}{100}\) x = 372
\(\frac{6x}{100}\) = 372
6x= 37200(100)
x=6200 $ divide by 6
so she sold $6200 worth of merchandise to earn $372 of commission
-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
In the equation -2 - 6b = 32, the negative coefficient is ___________________.
Answer:-2
Step-by-step explanation:
It’s not -6b because that is showing that it’s getting subtracted
Hope I helped
It takes Neil and Spencer the same amount of time to ride their bikes to school each day, though Neil lives farther away. This Saturday, they plan to study together at the library, which is the same distance from both of their houses. If their average speeds are consistent, who will get to the library in less time?
Answer:
they will get there at the same time
Answer:
Neil
Step-by-step explanation:
If Neil lives farther away from the school than Spencer but can get there in the same amount of time, Niel is a faster biker than Spencer. So if they are going the same distance, Niel will get there faster.
Determine the intercepts of the line. -5x+9y=-18−5x+9y=−18minus, 5, x, plus, 9, y, equals, minus, 18 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answer:
(3.6, 0), (0, -2)
Step-by-step explanation:
To find the y-intercept, set x=0:
-5·0 +9y = -18
y = -18/9 = -2
To find the x-intercept, set y=0:
-5x +9·0 = -18
x = -18/-5 = 3.6
The intercepts are ...
x-intercept: 3.6
y-intercept: -2
Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275275275 milliliters of slushy in the cup. After 131313 seconds, 210210210 milliliters of slushy remained.
How fast did Sean drink?
milliliters per second
How long did it take Sean to drink all the slushy?
seconds
Answer:
Below
Step-by-step explanation:
a. rate of drinks = 210/13 milliliters per second
b. 17.02 seconds
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-x + 3y = 4
-7x + 12y = 12
Answer:
One solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
The solution set of the systems of equations would be where the 2 lines intersect. If the 2 lines do not intersect (i.e they are parallel lines), then they will have no solution. If the 2 lines look exactly the same, then they will have infinitely many solutions.
From the graph, we see that the lines intersect once. Therefore, the systems has 1 solution.
You are one of 16 finalists on a game show.
One finalist is randomly selected to answer
a trivia question for a prize. What is the
probability that you will be selected?
Write your answer as a percent.
If one finalist is randomly selected for a prize then the probability that person will be selected is 6.25%.
Given A person is one of 16 finalists and one finalist is randomly selected for a prize.
Probability is the likeliness of happening an event among all the events possible. The formula of calculating probability is number of events possible/total outcomes.
The value of probability lies between 0 and 1. It cannot be negative because there might be chances of something and sometimes not so the value be 0.
Total finalists=16
Probability=1/16
When we convert it in percentage it will be 1*100/16
=6.25%
Hence the probability that person will be selected is 6.25%.
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THE FOLLOWING ALGEBRAIC EQUATION 3P + 6 = -12 HAS THE RESULT:
Answer:
P = -6
Step-by-step explanation:
Step 1: Write equation
3P + 6 = -12
Step 2: Solve for P
Subtract 6 on both sides: 3P = -18Divide 3 on both sides: P = -6Step 3: Check
Plug in P to verify it's a solution.
3(-6) + 6 = -12
-18 + 6 = -12
-12 = -12
here a subtraction problem that has been solved correctly for 68-59=9 but the choices is 9+68=77 68+9=77 9+59=68 which one is the addition sentence that checks the subtraction problem
Answer:
It's probably 9+59=68
Step-by-step explanation:
=> 9+59=68
68 - 59 gives you 9
So in order to check if the problem was solved correctly you will add the answer plus the subtraction of one number in the two numbers of subtraction
which means between the options 9 + 59 equals to 68 is absolutely the correct answer
Suppose a city with population 340,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 20 years.
Answer:
Total population = 340000
Growing rate = 4%
Growing population = 340000×4/100
= 13600 per year
Now population increased in 20 years = 13600 × 20 = 272000 population.
Now ,
The population after 20 years = 340000+272000
=612000
So the population after 20 years = 612000
How to write an equation?
Answer:
to write an equation is Farley easy all u need is numbers and a math sign and an equal sign and then the solution to those numbers and math sign
Ex:\(4 \times 5 = 10\)
numbers: 4 and 5
Math sign: x
solution: 10
Step-by-step explanation:
hoped that helped
Answer: An equation MUST contain an equal sign. Others, you can multiply/divide/add/subtract two variables or even keep a single variable.
Generally most common equations include variable/variables, constant and a co-efficient.
Variable: a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y .
Constant: a value or number that never changes in expression. It is constantly the same.
Coefficient: a number that is being multiplied by the variable.
For example:
2a - 6y + 14 = 10 is an equation.
Here the variables are, "a" and "y". Constant is, "14" and coefficients are, "2" and "6".
an equation could be very simple as well. There can be no coefficient's or variables in a equation.
For example:
10/5 = 2
There are no variables or coefficient's or constants in the above equation.
If any expression has an equal sign, forgetting everything, we can say for sure that it is an equation. However if there is no equal sign then we call it an expression. From the above example, if it was only " 10 / 5 " then it would be an expression.
x+y=4
3x-2y=2
solution
Answer:
x,y=2
Step-by-step explanation:
it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.
It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.
In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.
Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.
So, it is unknown if any polynomial-time algorithms will ever be developed for them.
By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
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Michael buys some items at a grocery store.
Answer:
B
Step-by-step explanation:
It's b my correct answer is b
Divide: StartFraction 5 Over 8 EndFraction divided by three-fourths
The value gotten when 5/8 is divided by 3/4 is 5/6.
What is the value gotten from the division?A fraction is a non-integer that is made up of numerator and a denominator. An example is 5/8. Division is the process of grouping a number into equal parts using another number.
5/8 ÷ 3/4
5/8 × 4/3 = 5/6
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What is the greatest common factor of 30b^2, 80b^2, and 20b^2
Answer:
10b²
Step-by-step explanation:
First, let's look at the coefficients. The greatest common factor of all three numbers 30, 80, and 20, is 10. Now, let's look at the variables. All three terms are divisible by b² (with no remainder). We can combine 10 and b² so they become one term, and that is the GCF. 10b².
Federal standards require that the angle ramp for the wheel chair to be less than 5 degrees, if the length of the ramp is 20 feet and vertical rise is 15 inches, does it meet federal standards?
ANSWER:
The ramp does meet federal standards
STEP-BY-STEP EXPLANATION:
The first thing we must do is sketch the situation of the statement in order to better understand it.
Now, we need to convert feet to inches, so they are the same units. We know that 1 foot is equal to 12 inches, so:
1 ft = 12 in
20 ft = 20 ft *12 in/ft = 240 in
Now, we calculate the angle of the ramp by means of the trigonometric sine function that relates the side opposite the angle to the hypotenuse.
Therefore:
\(\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \text{ opposite = 15} \\ \text{ hypotenuse = 240} \\ \text{ Replacing} \\ \sin \theta=\frac{15}{240} \\ \theta=\arcsin \mleft(\frac{15}{240}\mright) \\ \theta=3.58\text{\degree} \end{gathered}\)The value of the angle is 3.58°, which is less than 5°, which means that it meets federal standards.
Plz help me I am timed!
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
Answer:
50.8
Step-by-step explanation:
LxW is 8.2x6
3 Which of the following is an example of an expression?
O3y = 2y + 11
O
2x + 3y = 2x + 2y + 11
O
2x + 2y + 3y
O
2x + 2y + 3y = 2x + 2y + 11
Skip
5/6 complete
4
K
Answer:
2x + 2y + 3y
Step-by-step explanation:
The others are equations ( containing the = sign).
Answer:
2x+2y+3y
Step-by-step explanation:
an expression is not equated to any number but an equation is equated to any number especially zero
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?
Answer:
well u multiply 60 and 12 which is 720 then multiply that by 4 that equals 2,880 more points
A worker makes 220 for 8 hours of work. At this rate, how much does the worker make per hour
Answer:
22.5
Step-by-step explanation:
8hrs=220
1hr=220÷8
1hr=22.5
According to the question,
The worker makes,
\(8 \ hours = 220\)then,
Per hour, worker will make,
→ \(1 \ hour = \frac{220}{8}\)
By applying division, we get
→ \(1 \ hour = 22.5\)
Thus the solution above is appropriate.
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Question 7
Let f (x) = -2x³ + ax² +2. You are told that f (2) = 14, what is the value of a ?
a=9
a=8
a=7
a=6
Answer:
a = 7
Step-by-step explanation:
Substitute x for 2 and f(x) for 14
14 = -2(2³) + a(2²) + 2
14 = -16 + 4a + 2
14 = -14 + 4a
14 + 14 = 4a
28 = 4a
4a = 28
Divide both sides by 4
4a/4 = 28/4
a = 7
Alternative:
Since from the question, you're already told that f(2) = 14, you just have to find the number that can be multiplied by 2 with a resultant of 14; that number is 7. To confirm, substitute a for 7 in the equation.
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If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?
It will cost $_____ to fill the pool.
Answer: $1346.40
Step-by-step explanation:
Volume of the pool is:
\((6)(8)(8)+\frac{1}{2}(6)(8)(6)=528\)
This has a cost of \((528)(2.55)=\boxed{\$1346.40}\)
The volume of the pool will be 528 cubic feet. Then the cost to fill the pool will be $1,346.4.
What is the volume of the prism?Let the prism with A is the base area and a height of H. Then the volume of the prism is given as
V = A × H
Then the volume of the pool will be
V = [(6 × 8) + (1/2 × 6 × 6)] × 8
V = (48 + 18) × 8
V = 66 × 18
V = 528 cubic feet
Then the cost to fill the pool will be
C = $2.55 × 528
C = $1,346.4
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Choose each correct coordinate for the vertices of ΔA'B'C'.
Answer:
Step-by-step explanation:
ΔABC transformed by 5/2 to A'B'C':
A' = -10, 15
B' = -15, 10
C' = 5, -5
yaahkwjjqhqhwauhwshakwhsksjwhsjwhsjksjshdksbshxnxhrjdns
Answer:
c. 2
Step-by-step explanation:
As y increases 2 units as x increases 1 unit from (0, 3) to (1, 5)
the slope of the line is 2/1 = 2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Note: figure not drawn to scale.
Clay's oat barn has an air vent in the shape of a rectangular prism lengthwise through the barn. Clay is able to use the entire volume of the barn, except for the air vent, to store oats. He has decided to fill the barn to capacity to be prepared for the upcoming winter and planting season.
Clay called the Farmers CO-OP and ordered
cubic feet of oats.
The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
The actual dimensions of the patio are 20 feet by 16 feet.
The scale factor is 1 inch to 4 feet,
This means that 1 inch on the scale drawing represents 4 feet in reality.
So the dimensions of the scale drawing are:
20 feet x (1/4) = 5 inches (length on scale drawing)
16 feet x (1/4) = 4 inches (width on scale drawing)
The area of the actual patio is:
= 20 feet x 16 feet
= 320 square feet
The area of the scale drawing is:
= 5 inches x 4 inches
= 20 square inches
The ratio of the area of the scaled drawing to the actual area of the patio is: 20 square inches : 320 square feet
To simplify this ratio, we need to convert both values to the same units.
Converting the area of the scale drawing to square feet:
= 20 square inches x (1/144) square feet/square inch
= 0.1389 square feet
So the ratio of the area of the scaled drawing to the actual area of the patio is:
0.1389 square feet : 320 square feet
Or, in simplified form:
1 : 2306.56
Thus,
The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56
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A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.
How many employees took a break longer than 49 minutes?
Help please!
Note: Put the correct answer! I don't want to get this wrong!
Thank you <3
Approximately 7 employees took a break longer than 49 minutes.
We have,
In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.
The line within the box represents the median.
The "whiskers" extend to the minimum and maximum values, excluding any outliers.
Given the information provided:
Median = 41
Q1 = 37
Q3 = 49
Largest = 55
Smallest = 35
Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.
Now,
The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:
25% of 27 employees
= (25/100) x 27
= 6.75
Since we cannot have a fractional number of employees, we round up to the nearest whole number.
Therefore,
Approximately 7 employees took a break longer than 49 minutes.
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4.) A soup kitchen had 6 1/2 gallons of soup at the start of the day. They had 2 7/10 gallons of soup left by the end of the day. How many gallons of soup did they use during the day? (HINT: You might have to regroup to subtract.)
The kitchen used \(2 \frac{4}{5}\) gallons of soup during the day.
How to deal with mixed fraction?To find out how many gallons of soup the kitchen used during the day, we need to subtract the amount of soup they had at the end of the day from the amount they had at the start of the day:
\(6 \frac{1}{2} - 2 \frac{7}{10}\)
First, let's convert both fractions to have a common denominator of 10:
\(6 \frac{5}{10} - 2 \frac{7}{10}\)
Now we can subtract the whole numbers separately and the fractions separately:
\(4 \frac{5}{10} - 2 \frac{7}{10} = 2 \frac{8}{10}\)
Finally, we can simplify the fraction to a mixed number:
\(2 \frac{8}{10} = 2 \frac{4}{5}\)
Therefore, the kitchen used \(2 \frac{4}{5}\) gallons of soup during the day.
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