Answer:
A ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.
Step-by-step explanation:
Let's use variables to represent the cost of each dinner. Let's say that the cost of a ribeye steak dinner is "r" and the cost of a grilled salmon dinner is "s".
From the first day's sales, we know:
11r + 14s = 551.11From the second day's sales, we know:
15r + 7s = 581.47We now have two equations with two variables, which we can solve using elimination or substitution.
Let's use elimination. If we multiply the first equation by 15 and the second equation by 11, we can eliminate the "r" variable:
165r + 210s = 8266.65165r + 77s = 6396.17Subtracting the second equation from the first, we get:
133s = 1870.48Dividing both sides by 133, we get:
s = 14.04So a grilled salmon dinner costs $14.04.
We can substitute this value back into one of the original equations to solve for "r". Let's use the first equation:
11r + 14(14.04) = 551.1111r + 196.56 = 551.1111r = 354.55r = 32.23So a ribeye steak dinner costs $32.23.
Therefore, a ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.
what is the measure of an angle if it is 590 less than six times its own supplement
This is a word problem involving supplementary angles. To solve it, we need to follow these steps:
Identify the given information and the unknown quantity. In this problem, we are given that an angle is 590 less than six times its own supplement. The unknown quantity is the measure of the angle.
Write an equation that relates the given information and the unknown quantity. We can use the fact that supplementary angles are two angles with a sum of 180°1. Let x be the measure of the angle. Then its supplement is 180 - x. The equation is:
x=6(180−x)−590
Solve the equation for the unknown quantity. We can simplify and rearrange the equation to get:
xx7xxx=6(180−x)−590=1080−6x−590=490=7490=70
Therefore, the measure of the angle is 70°.
1: A study group is interested in estimating the average monthly income of 1,500 employees. It decides to select a random sample of 60 female and 80 male employees using proportional allocation. Identify: a) the population and sample b) the scope of data collection (censes or sample survey) (c) The variable of interest d) The possible sources of data collection colfaction e) The type of statistics used
Answer:
a) The population is the 1,500 employees, while the sample is the 60 female and 80 male employees selected using proportional allocation.
b) The scope of data collection is a sample survey, as only a subset of the population is being studied.
c) The variable of interest is the average monthly income of the employees.
d) The possible sources of data collection could include surveys or interviews of the selected employees, or obtaining salary data from the human resources department of the company.
e) The type of statistics used would be inferential statistics, specifically confidence interval estimation and hypothesis testing, to make inferences about the population based on the sample data.
The masses, in kilograms, of 25 pumpkins were
recorded and summarized in the histogram shown. No
pumpkin's mass was an integer number of kilograms.
How many pumpkins had a mass greater than
6 kilograms?
Observing the given histogram we know that there are 16 pumpkins that have a mass greater than 6 kilograms.
What is a histogram?A histogram is a graph that displays the values of a numeric variable's distribution as a collection of bars.
The height of a bar represents the frequency of data points with values falling within the relevant bin; each bar typically spans a range of numerical values known as a bin or class.
Similar to a bar chart, a histogram is produced with bars of varying widths.
In a histogram, the frequency is revealed by the bar's area rather than its height.
We plot the frequency density rather than frequency on the y-axis. To figure this out, divide a group's frequency by its width.
So, the x-axis of the given histogram represents the mass of the pumpkins.
The y-axis of the histogram represents the number of pumpkins.
Then, the pumpkins with greater mass than 6 kilograms:
= 8 + 6 + 2
= 16
Therefore, observing the given histogram we know that there are 16 pumpkins that have a mass greater than 6 kilograms.
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A total of 480 black and red jerseys were produced in a factory. Each black Don jersey was sold at $56. Each red jersey was sold at $75. After all the jerseys were sold, the amount of money collected from the sale of the black jerseys was $18315 less than that of the red jerseys. (a) How many black jerseys were sold? (b) How much money was collected from the sale of the red jerseys?
Answer:
Step-by-step explanation:
Please help me out with this
Answesar:
Step-by-step explanation:
SA = 10(5)² = 250cm²
Volume² = 2 (5)³ = 250cm³
They are not equal.
Surface area is in square cm and volume is in cm³.
I just don’t know what you do here!? Please help!!
Solve the problem and show how you solved it.
Georgia is a long-distance swimmer. She swims 2 miles
every day. How many miles does she swim in 5 days?
Answer:
Step-by-step explanation:
chickennnnnnnnn
Can someone help me with this
Answer:
x = 23°
Step-by-step explanation:
We Know
The 67° angle + the x must be equal to 90°
Find the x.
Let's solve
67° + x = 90°
x = 23°
El área del hexágono regular cuyo lado mide 1 cm es?
Answer:
Respuesta: 2,25 cm cuadrados
Explicación paso a paso:
PERIMETRO: 6
APOTEMA: 0,75
AREA DEL HEXAGONO REGULAR: 6 X 0,75 / 2 = 2,25 CM CUADRADOS
Step-by-step explanation:
A rainwater collection system uses a cylindrical storage tank with a diameter of 50 cm and a height of 80 cm what is the total volume of water in cubic centimeters that can be collected
Answer:
157,000
Step-by-step explanation:
π r² h
PLEASE HELP! Showing all work, solve for x and why and round to nearest tenth
Answer:
x = 7.9 (nearest tenth)
y = 24.6° (nearest tenth)
Step-by-step explanation:
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
As we have been given the lengths of both legs of the right triangle, we can use Pythagoras Theorem to find the length of the hypotenuse, x:
[tex]\begin{aligned}3.2^2+7^2&=x^2\\10.24+49&=x^2\\59.24&=x^2\\x^2&=59.24\\x&=\sqrt{59.24}\\x&=7.6967525...\\x&=7.9\; \sf (nearest\;tenth)\end{aligned}[/tex]
Therefore, x = 7.9.
[tex]\hrulefill[/tex]
The tangent ratio is a trigonometric ratio that relates the angle of a right triangle to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}[/tex]
As we have been given the lengths of the sides that are opposite and adjacent angle y, we can use the tangent trigonometric ratio to find the measure of angle y:
[tex]\begin{aligned}\tan(y)&=\dfrac{3.2}{7}\\y&=\tan^{-1}\left(\dfrac{3.2}{7}\right)\\y&=\vphantom{\dfrac12}24.5671713...^{\circ}\\y&=24.6^{\circ}\;\sf (nearest\;tenth)\end{aligned}[/tex]
Therefore, y = 24.6°.
Jill's neighborhood has a mean of 3 children per household.
What happens to the mean if a family with 7 children moves away?
Responses
The mean remains the same.
The mean increases.
The mean decreases.
The correct option is the last one, the mean will decrease.
What happens to the mean if a family with 7 children moves away?For a set of N values {x₁, x₂, ..., xₙ} the mean is defined as the sum of the N values divided by N, this is:
mean = (x₁ + x₂ + ... + xₙ)/N
Now, here the mean is 3, and a family with 7 children (more than the mean) moves away.
That will cause a decrease in the mean, because we are removing one of the larger values.
The correct option is the last one.
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Thereare6redmarblesand11orangemarblesinabag.Yourandomly choose one of the marbles. What is the probability of choosing a red marble
The probability of choosing a red marble is 6/17.
What is the probability of choosing a red marbleThe probability of an event occurring is the number of favorable outcomes divided by the total number of possible outcomes.
To calculate this probability, we can use the formula:
P(red marble) = number of red marbles / total number of marbles
In this case, we substitute the numbers we know:
P(red marble) = 6 / 17
So the probability of choosing a red marble is 6/17 or approximately 0.35.
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Please help confused thank you
The solution to the inputs of the given function are:
a) f(0) = 13
b) f(2) = -1
c) f(-2) = 27
d) f(1) + f(-1) = 26
How to solve Function Inputs?The set of input values of a function is referred to as the domain of the function. Then, the set of output values of the function is referred to as the range of the function. Thus, if we possess a set of ordered pairs, we can find the domain by listing all of the input values, which are the x-coordinates.
We are given the function:
f(x) = (-x)³ - x² - x + 13
a) f(0) = (-0)³ - (0)² - 0 + 13
f(0) = 13
b) f(2) = (-2)³ - (2)² - 2 + 13
f(2) = -1
c) f(-2) = (2)³ - (-2)² + 2 + 13
f(-2) = 27
d) f(1) = (-1)³ - (1)² - 1 + 13
f(1) = 10
f(-1) = (1)³ - (-1)² + 1 + 13
f(-1) = 16
f(1) + f(-1) = 10 + 16 = 26
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According to the NOAA, the state of Oregon has just over 6 million feet of Pacific coastline. If the population of Oregon is approximately 3.8 million people, find the number of feet of coastline per capita in Oregon. Round your answer to the nearest hundredth
1.58 feet of coastline are found per person. To the nearest hundredth, we round to: 1.58 feet of coastline are found per person.
what is unitary method ?In statistics, the unitary approach is a way towards resolving proportional problems. It entails first determining the value of a single unit of either a statistic, and then applying that knowledge to determine the value of any other required number of units. Consider the scenario where we are aware that 5 bananas cost $2.50. We can employ the unitary technique to calculate the price of seven apples as follows: Determine the price of a single apple: 2.50 ÷ 5 = 0.50 .Divide the price of one banana by the quantity you want of apples. 0.50 × 7 = 3.50 .It follows that 7 bananas would cost $3.50. Additionally, this technique can be applied to more challenging issues requiring numerous ratios and proportions.
given
Divide the total number of feet of coastline by the state's population to get the amount of coastline per person in Oregon:
Total shoreline / Population equals coastline per person.
coastline divided by population (3,800,000) equals 6,000,000 feet.
1.58 feet of coastline are found per person. To the nearest hundredth, we round to: 1.58 feet of coastline are found per person.
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The cube root of the product of x and y, less twelve
The expression "the cube root of the product of x and y, less twelve" can be mathematically represented as ³√(xy) - 12.
To understand this expression, let's break it down step by step:
Product of x and y:
We multiply the values of x and y together to find their product, denoted as xy.
Cube root of the product:
We take the cube root of the product obtained in the previous step.
The cube root of a number x is the value that, when raised to the power of 3, equals x. In this case, we take the cube root of xy, represented as ³√(xy).
Subtract twelve:
Finally, we subtract twelve from the result obtained in the previous step, ³√(xy). This gives us the expression ³√(xy) - 12.
The expression ³√(xy) - 12 represents a mathematical operation involving the cube root of the product of x and y, followed by subtracting twelve from the result.
This can be useful in various mathematical contexts, such as solving equations or modeling real-world problems.
It's important to note that the expression is dependent on the values of x and y.
By substituting specific values for x and y, we can evaluate the expression to obtain a numerical result.
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Draw n equally spaced marks between 0 and 1 on each of the x and y axes. Connect the first mark on the x-axis (closest to 0) to the last mark on the y axis (closest to 1), the second mark on the x axis to the second last on the y axis, and so on.
As n increases this process creates a curved boundary, C, as seen in this example diagram. Give an equation for this curve as n → ∞.
the equation for the curve C as n approaches infinity is y = x This is the equation of the diagonal line that passes through the points (0, 0) and (1, 1).
what is diagonal line ?
A diagonal line is a straight line that runs obliquely (at an angle) between two opposite corners of a geometric shape, such as a rectangle or a square. It is called "diagonal" because it connects two non-adjacent vertices of the shape, forming a diagonal across the interior of the shape.
In the given question,
As n increases, the process described in the question creates a set of line segments that connect the equally spaced points on the x-axis to the equally spaced points on the y-axis. The resulting curve is a piecewise linear function that converges to a continuous curve as n approaches infinity.
To derive an equation for this curve, we can start by considering the line segment connecting the first mark on the x-axis to the last mark on the y-axis. Let's call this point (0, 1) and the nth mark on the x-axis (1, 0). The slope of the line connecting these two points is given by:
m = (0 - 1) / (1 - nth mark) = (1 - nth mark)^(-1)
where the nth mark on the x-axis is given by:
nth mark = 1 - (1/n)
Substituting this expression for nth mark into the equation for m, we get:
m = (n/(n-1))
The y-intercept of the line is given by:
b = 1 - m = 1 - (n/(n-1)) = 1/(n-1)
Therefore, the equation for the line segment connecting the first mark on the x-axis to the last mark on the y-axis is:
y = (n/(n-1))x + 1/(n-1)
Similarly, the equation for the line segment connecting the second mark on the x-axis to the second last on the y-axis is:
y = (n/(n-2))x + 1/(n-2)
Continuing this process for all n line segments, we get:
y = (n/(n-k))x + 1/(n-k)
where k = 1, 2, ..., n.
To get the equation for the curve C, we need to take the limit as n approaches infinity. As n goes to infinity, the value of k becomes insignificant compared to n, and we can approximate the equation for the curve as:
y = x
Therefore, the equation for the curve C as n approaches infinity is:
y = x
This is the equation of the diagonal line that passes through the points (0, 0) and (1, 1).
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Michelle has 3 kg of strawberries that she divided equally into small bags with 15 kg in each bag.
a. How many bags of strawberries did she make?
In a case whereby Michelle has 3 kg of strawberries that she divided equally into small bags with 1/5 kg in each bag the number of bags of strawberries she make is 15bags of strawberries.
How can the number of the bags of strawberries be calculated?We should note that 1kg = 1000g
3kg = 1000g
Since each of the bag is 1/5 kg = 1000/5 g = 200g
The needed bag will now be =3000/200= 15
Therefore, we can see that she made 15bags of strawberries the conversion were made so that it can be calculated easily since ythe kg are very small.
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1737x+642y=3 x and y are integers
Select all equations that have infinitely many solutions
Answer:
2 and 4
Step-by-step explanation:
1)
14x+6=2(5x+3)
14x+6=10x+6
No Solutions
2)
3(x-5)+6=x-(9-2x)
3x-9=3x-9
Infinitely Many
3)
2+5x-9=3x+2(x-7)
5x-7=5x-14
No Solutions
4)
3(4x-6)+2=-4(4-3x)
12x-16=12x-16
Infinitely Many
I need help on this question
Answer:
C
Step-by-step explanation:
0 is base like for example negatives are below and positives are above and zero is the thing right in between so sea level would be 0!
Correct answer is 0.
Step-by-step explanation:Sea level si always the parameter to use when indicating the elevation of any place on earth. If you happen to be located at the same altitude than the sea, then you are at level 0 altitude in any unit of measure.
Find z
x+y=z
y-z=x
I will award brainlest
Answer:
To solve for z in terms of x and y using the given equations:
x + y = z ........(1)
y - z = x ........(2)
From equation (2), we get:
y - x = z (by adding z on both sides)
Substituting this value of z in equation (1), we get:
x + y = y - x
2x = 0
x = 0
Substituting x = 0 in equation (2), we get:
y - z = 0
y = z
Therefore, the solution is:
z = y
We cannot determine a specific value of z without knowing the values of x and y.
The Regular polygon has the following measures.
a=7√3cm
s=14 cm
Segment a is drawn from the center of the polygon perpendicular to one of its sides.
What is the vocabulary term for segment a?
what is the area of the polygon?
Round to the nearest tenth and include correct units
The vocabulary for a is called the apothem
The area of the regular polygon is [tex]2419.68 cm^2.[/tex]
How to solve for areaa = 7√3 cm
s = 14 cm
The perimeter of the polygon is:
P = ns
where n is the number of sides of the polygon. We can find n using the formula:
[tex]n = 360 / (180 - (360 / 2n))[/tex]
where n is the number of sides. Substituting the given value for s, we get:
[tex]n = 360 / (180 - (360 / 2*7)) = 14[/tex]
Therefore, the polygon has 14 sides.
a = [tex]\sqrt{31.820 cm)^2 - (14 cm/2)^2}[/tex])
= 24.615 cm
A = (1/2) * apothem * perimeter
[tex](\frac{1}{2} ) * 24.615 cm * 196 cm \\=\\ 2419.68 cm^2[/tex]
Therefore, the area of the regular polygon is [tex]2419.68 cm^2.[/tex][tex]2419.68 cm^2.[/tex]
In summary,
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What is the circumference of the following circle? What is the answer?
Answer:31.42
Step-by-step explanation:
C=2πr=2·π·5≈31.41593
algebra please help quickly, you don't have to explain anything just straight up state the answers true or false
Answer:
they are correct
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $2000 in the account in 15years? Assume the account earns 8% interest compounded monthly.
Answer:
P = $1341.53
Step-by-step explanation:
A(t) = amount in t years
P = Principal (original investment)
r = annual interest rate (in decimal form)
n = number of times that interest is compounded each year
A(t) = P(1 + r/n)nt
Substitute in the given values: 2000 = P(1 + 0.04/12)12(10)
2000 = P(1.490832682)
P = $1341.53
simplify (5^4)^2. 5^6. 5^8. 25^6. 25^8
Therefore here, (5⁴)². 5⁶. (5⁸)².(5⁶)². (5⁸)² simplifies to 5⁸².
The simplest version is what?The integer's basic form is represented by its smallest equivalent fraction. How to determine the simplest form: Look for shared components in the denominator and numerator.
By applying the exponentiation laws, let's us gradually simplify this an expression is:
[tex](5^4)^2 = 5^(4*2) = 5^85^6 * 5^8 = 5^(6+8) = 5^1425^6 = (5^2)^6 = 5^(2*6) = 5^1225^8 = (5^2)^8 = 5^(2*8) = 5^16[/tex]
When all of these simplifications are put back into the original statement, we get the following:
[tex](5^4)^2. 5^6. 5^8. 25^6. 25^8 = 5^8 * 5^14 * 5^12 * 5^16 * 5^16[/tex]
Using the rule that is [tex]a^b * a^c = a^(b+c)[/tex],
The first three terms can be combined to create:
[tex]5^8 * 5^14 * 5^12 * 5^16 * 5^16 = 5^(8+14+12) * 5^(16+16) = 5^50 * 5^32[/tex]
Using the same rule again, we can combine these two terms:
5⁵⁰* 5³²
= 5⁵⁰⁺³²
= 5⁸²
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a baseball stadium keeps track of how many hot dogs each customer orders. the data is organized into the frequency table below. what os the relative frequency of customers ordering five hot dogs?
a.) about 5%
b.) about 7%
c.) about 8%
d.) about 14%
The relative frequency of customers ordering five hot dogs is 7%, option B is correct.
To find the relative frequency of customers ordering five hot dogs, we need to divide the frequency of customers who ordered five hot dogs by the total number of customers.
The total number of customers is the sum of the frequencies in the table:
Total frequency = 90 + 45 + 18 + 18 + 14 + 13 = 198
The frequency of customers ordering five hot dogs is 14, so the relative frequency is:
Relative frequency of customers ordering five hot dogs = (frequency of customers ordering five hot dogs) / (total frequency) = 14 / 198 = 0.0707
To express this as a percentage, we can multiply by 100:
Relative frequency of customers ordering five hot dogs = 0.0707 * 100% = 7.07%
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Help please!!!!
Whoever answers right gets brainliest!
4w+6.
Step-by-step explanation:1. Formula of perimeter.The perimeter is just the summation of the length of all sides of a shape. In the case of a circle, the perimeters is its circumference length. So for this case, all we need to do is add up all the sides in a single expression that will represent the perimeter.
2. Calculating the perimeter formula.So perimeter for this triangle should be:
Side 1 + Side 2 + Side 3.
Where:
Side 1= w+4;
Side 2= 2w+2;
Side 3= w.
Then, perimeter is:
(w+4)+(2w+2)+(w)
Adding up all the like terms:
(w+2w+w)+(4+2)
(4w)+(6)
4w+6.
2 grams =
milligrams
There are 2000 milligrams in 2 grams of a substance, and it constitutes 40% of a 5-gram sample.
How to solveConvert grams to milligrams:
2 grams = 2 * 1000 milligrams
2 grams = 2000 milligrams
Calculate the percentage in a 5-gram sample:
Percentage = (2000 milligrams / 5000 milligrams) * 100
Percentage = (2 / 5) * 100
Percentage = 0.4 * 100
Percentage = 40%
Thus, there are 2000 milligrams in 2 grams of a substance, and it constitutes 40% of a 5-gram sample.
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2 grams = milligrams
How many milligrams are there in 2 grams of a substance, and what is the percentage of this amount in a 5-gram sample?
A bank offers an investment account with an annual interest rate of 1.51% compounded quarterly. Charlie invests 4200 into the account for 5 years. Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
After 5 years, there will be $4,528.73 in Charlie's account if no withdrawals are made.
How much money is in Charlie's account after 5 years?Compound interest means addition of interest to the principal sum of a loan or deposit. To get the amount, we will use the formula [tex]A=P(1+r/n)^{nt}[/tex] to get sum of money in the account.
Data:
P = 4,200, r = 1.51%, m = 4, t = 5
Plugging the values, we get:
[tex]A = 4200(1+0.0151/4)^{4*5}\\A = 4200* {1.003775}^{20}\\A = 4200*(1.07826994224)\\A = $4528.73375741\\A = $4528.73.[/tex]
Complete question "A bank offers an investment account with an annual interest rate of 1.51% compounded quarterly. Charlie invests 4200 into the account for 5 years. Answer the questions below. Assuming no withdrawals are made, how much money is in Greg's account after 5 years?"
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