A restaurant earns $1240 on Friday and $921 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day
Answer:
The restaurant needs to earn $839 on Sunday.
Step-by-step explanation:
Consider the provided information.
Let $x needs to earn on Sunday, to average $1000 per day .
It is given that the average earn should be $1000
[tex]Average=\frac{\text{Sum of observations}}{\text{Total number of observation}}[/tex]
[tex]Average= \frac{1240+921+x}{3}[/tex]
[tex]Average= \frac{2161+x}{3}[/tex]
The average should be $1000, so substitute 1000 for average and solve for x.
[tex]\frac{2161+x}{3} =1000\\\\ 2161+x=3000\\\\x=3000-2161\\\\x=839[/tex]
Thus, the restaurant needs to earn $839 on Sunday.
The required equation is [tex]\frac{1240+921+x}{3}=1000[/tex].
Look at the following expression, then factor the sum of terms as a product of the GCF and a sum. 4x + 12 = 4(____ + 3) What term is missing from the solution
Matching 1. protects against loss from automobile accidents of insured malpractice 2. protects against loss to insured's home and furnishings automobile 3. protects against loss from fire on insured's property liability 4. protects against loss from injury to others on insured's property fire 5. protects against loss from lawsuits against insured life 6. protects against loss from death of insured homeowners
1. protects against loss from automobile accidents of insured - Automobile insurance.
2. protects against loss to insured's home and furnishings - Homeowners insurance
3. protects against loss from fire on insured's property - Fire insurance
4. protects against loss from injury to others on insured's property - Liability insurance
5. protects against loss from lawsuits against insured - Malpractice insurance
6. protects against loss from death of insured - Life insurance
If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year to earn enough interest to cover a single $9.99 Below-Minimum-Balance Fee?
$55,555
$55
$555
$5,555
Solve algebraically for x
The sum of the page numbers on the facing pages of a book is 629. what are the page numbers
The number of pages of the book is 315.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the sum of the page numbers on the facing pages of a book is 629.
Basically, these numbers have to be consecutive because they're facing pages.
To calculate the number of the pages divide this by 2, and then add one to the second number.
N = 629/2 = 314
Therefore, the number of pages of the book is 315.
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Please help with both questions thank you.
Out of 32 students in the class 5 said they rode their bikes to school based on their results how many of the 800 students in the school rode their bikes toschool
Which rule represents R0, 180
Answer:
[tex](x, y) \rightarrow (-x, -y)[/tex]
Step-by-step explanation:
Rotation of any point in the form of (x, y) about the origin O through 180 degree in anticlockwise or counterclockwise direction, it will takes the new position (-x, -y)
i.e,
The rule of rotation about the origin through 180 degree is given by:
[tex](x, y) \rightarrow (-x, -y)[/tex]
For example:
Let the point A(-4, 6) rotate by the rule [tex]R_{0, 180^{\circ}}[/tex]
then;
[tex]A(-4, 6) \rightarrow (4, -6)[/tex]
⇒the coordinate of image of the point A is, (4, -6)
Therefore, the rule represents [tex]R_{0, 180^{\circ}}[/tex] is, [tex](x, y) \rightarrow (-x, -y)[/tex]
Answer:
B
Step-by-step explanation:
The difference between Alan's and Bea's age is three years. The sum of their ages is twenty-seven years. How old are they if-
A. Alan is older than bea?
B. Bea is older than Alan?
Help me plz? I have no clue how
Write the quadratic function in vertex form. y = x2 + 8x + 18
A map is drawn to scale such that 1/8 inch represents 65 feet. if the shortest route from the dorm to the grocery store measures 23 ¼ inches on the map, how many miles is it to the grocery store? round to the nearest tenth.
What is the abbreviation for SI unit of mass
Pablo simplified the expression(2^-4)^-2 as shown.
(2^-4)^-2=2^-4*^-2=2^-8
Which statement explains Pablo’s error?
A. He should have added the exponents instead of multiplying them.
B. He should have divided the exponents instead of multiplying them.
C. He should have found 8 as the exponent, not –8.
D. He should have written mc014-3.jpg as mc014-4.jpg.
Answer:
C. He should have found 8 as the exponent, not –8.
Step-by-step explanation:
We have been given an expression [tex](2^{-4})^{-2}[/tex]. We are asked to find the Pablo's error in simplifying the expression.
Let us check steps done by Pablo.
In first step Pablo has simplified [tex](2^{-4})^{-2}[/tex] to [tex](2)^{(-2*-4)}[/tex] using power rule property of exponents which states that to raise a power to a power we have to multiply the exponents. Therefore, his first step is correct.
Now let us check Pablo's second step. We can see that Pablo multiplied -2 by -4 and simplified to [tex]2^{-8}[/tex].
Since we know that multiplying a negative number with another negative number gives a positive result, therefore, Pablo made mistake in second step. He should have found 8 instead of -8 as the exponent.
The correct steps for simplifying the given expression will be [tex](2^{-4})^{-2}=2^{(-2*-4)}=2^{8}[/tex].
Upon looking at our given option we can see that option C is the correct statement about Pablo's error.
Chris is trying to find the volume of a pool. What unit will he use?
When measuring the volume of a swimming pool, larger units of capacity like liters and gallons are used. For an Olympic-sized pool, the volume is often measured in megaliters or cubic meters.
When measuring the volume of a swimming pool, we are dealing with a very large capacity, therefore using small capacity units like milliliters would not be practical due to the large numbers it would involve. In cases such as filling a pool, larger units of capacity are more appropriate. Common units of measure for such large volumes are liters and gallons. For very large swimming pools, like Olympic-sized ones, volume is often expressed in megaliters (ML) because one megaliter equals one million liters. For instance, an Olympic-sized swimming pool holds about 2,500,000 liters, which can also be expressed as 2.5 megaliters (ML).
Additionally, when working with the volume of a pool, it would also be possible to measure in cubic meters (m³). This is particularly common in scientific contexts or in regions where the metric system is standard for all measurements.
Geometry- You are designing a poster that will be 3yd wide and 8ft high. How much paper do you need to make the poster? Give your answer in square feet. My answer was 72ft^2, but the textbook says 74ft^2. Can someone please check to see if my answer is correct and the textbook is wrong.
The next train will arrive in 32 minutes and 30 seconds.
In how many seconds will the next train arrive?
____Seconds
You can convert time from minutes to seconds by multiplying the number of minutes by 60. Therefore, if the train is due in 32 minutes and 30 seconds, the train will arrive in 1950 seconds.
Explanation:To answer your question, we need to understand that 1 minute is equal to 60 seconds.
So, if the train arrives in 32 minutes, then it will arrive in 32 minutes * 60 seconds per minute, which equal 1920 seconds. And we have additional 30 seconds. So, the total time the train will arrive in is 1920 + 30 = 1950 seconds.
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The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance?
The value of the numerator of the calculation of the variance= 258
and Variance= 51.6
Step-by-step explanation:We know that in order to calculate the variance we need to follow following steps:
First calculate mean.Then subtract each of the data points from means and square the difference quantity.Lastly calculate the mean of these squared quantity.The data points are:
90, 75, 72, 88, 85
The mean of these data points are:
[tex]Mean=\dfrac{90+75+72+88+85}{5}\\\\\\Mean=\dfrac{410}{5}\\\\\\Mean=82[/tex]
Now on finding the difference terms i.e.
90-82=8
75-82= -7
72-82= -10
88-82=6
and 85-82=3
The square of these difference term is:
8²=64
(-7)²=49
(-10)²=100
6²=36
and 3²=9
Hence, the mean of these squared quantity i.e. Variance is:
[tex]Variance=\dfrac{64+49+100+36+9}{5}\\\\\\Variance=\dfrac{258}{5}\\\\\\Variance=51.6[/tex]
3c+2d=2;d=4 step by step
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
$22 AUD ×
$22 AUD ×
$1.20 AUD ×
$1.20 AUD × pls help need awnwer quick
Answer:
[tex]\frac{22\text{ AUD }\cdot 1\text{ USD}}{1.20\text {AUD}}[/tex]
Step-by-step explanation:
We are told that 1.2 Australian dollars equals to 1 US dollar. We are supposed to write an expression that can be used to convert 22 Australian dollars to US dollars.
To find the amount of US dollars in 22 Australian dollars we will divide 22 by amount of Australian dollars that is equal to 1 US dollar (1.2 AUD).
[tex]22\text{ AUD}=\frac{22\text{ AUD }\cdot 1\text{ USD}}{1.20\text{ AUD}}[/tex]
Australian dollars will cancel out with Australian dollars from unit parts and our unit will be in American dollars.
[tex]22\text{ AUD}=\frac{22\cdot 1\text{ USD}}{1.20}[/tex]
Therefore, our desired expression that can convert 22 Australian dollars to US dollars will be [tex]\frac{22\text{ AUD }\cdot 1\text{ USD}}{1.20\text { AUD}}[/tex].
What is the solution of the system of equations ? 2x-y=7 y=2x+3
Answer:
Step-by-step explanation:
I forgot
Dependent events can best be described as. A= two or more events that have the same probabilities. B= two or more events that do not have the same probabilities. C= a group of events whose later outcomes are not affected by previous outcomes.D= a group of events whose later outcomes are affected by previous outcomes.
Option: D is the correct answer.
D = a group of events whose later outcomes are affected by previous outcomes.
Step-by-step explanation:We know that two events Event A and event B are said to be dependent if the occurrence of one outcome affects the occurrence of the other outcome.
For example--
If we have a bag containing 5 blue marbles, 2 red marbles and 3 green marbles then if we draw first marble and then draw second without replacement.
Then the event of drawing a blue marble first and then a green marble are dependent events.
evaluate a/z+bw^2 for a=21 b=3 w=6 z=7
If a baker doubles a recipe that calls for 6 3/4 cups of flour, how many cups of flour will be needed in all
I have a 20 question geometry diagnostic due at 1 pm
What is another name for like r.
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
adult tickets
Answer: There are 168 adult tickets that were sold.
Step-by-step explanation:
Let the number of adult tickets were sold be 'a'.
Let the number of student tickets were sold be 'b'.
Since we have given that
The ticket sales for opening night totaled as
[tex]10.50a+3.75b=2071.50[/tex]
And the number of students attended = 82
so, b = 82
So, we will put the value of b in the above equation:
[tex]10.50a+3.75\times 82=2071.50\\\\10.50a+307.5=2071.50\\\\0.50a=2071.50-307.5\\\\10.50a=1764\\\\a=\dfrac{1764}{10.50}\\\\a=168[/tex]
Hence, there are 168 adult tickets that were sold.
A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long will the express train take to overtake the freight train?
Which equation could be used to find the number of miles the trains will travel?
A. 30x = 55(x + 300)
B. x÷30 = (x - 300)÷55
C. x÷30 = (x + 300)÷55
Answer:
The answer is C. x÷30 = (x + 300)÷55
Step-by-step explanation:
The equation that could be used to find the number of miles the trains will travel is C. x÷30 = (x + 300)÷55.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph.
The equation will be
Total speed = Total distance / time taken
x ÷ 30 = (x + 300) ÷ 55
The equation that could be used to find the number of miles the trains will travel is C. x÷30 = (x + 300)÷55.
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HELP PLEASE!!!!!!! 10 POINTS!!!
How do the rules for adding and subtracting signed decimals compare with the rules for adding and subtracting integers? please explain