Answer:
30 seats
Step-by-step explanation:
For every row, there are 2 seats on the left and 3 seats on the right.
If there are 45 seats total on the right side, then there must be 45/3 = 15 rows. Therefore, there are 15*2= 30 seats on the left.
A chef buys 3.5 ounces of spice for a new recipe. The spice costs $4.86 per ounce.
The chef pays with a $20 bill. How much change does the chef receive?
Please help as soon as possible
Answer:
c= 12.19
Step-by-step explanation:
Let's solve for c.
5.3(4x−2.3)=21.2x+c
Step 1: Flip the equation.
c+21.2x=21.2x−12.19
Step 2: Add -21.2x to both sides.
c+21.2x+−21.2x=21.2x−12.19+−21.2x
c=−12.19
Answer:
c=−12.19
Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?
To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:
Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
Loan Amount = $300,000 - $75,000 = $225,000
Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.
Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.
Use the PMT function in Excel to calculate the monthly principal + interest payment.
Monthly Payment = -PMT(0.00229, 360, 225000)
The negative sign is used because the payment is an outgoing cash flow.
By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.
To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.
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a coffee shop owner sells brazilian coffee for $10 per pound and colombian coffee for $14 per pound. if the store decides to make a 150-pound blend of the two coffee types and sell it for $11 per pound, how much of each type of coffee should be used?
The coffee shop owner should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian coffee to make the 150-pound blend.
To solve this problem, we can use a system of equations. Let x be the number of pounds of Brazilian coffee and y be the number of pounds of Colombian coffee. We can set up the following equations:
x + y = 150 (the total amount of coffee is 150 pounds)
10x + 14y = 11(150) (the total cost of the coffee is $11 per pound)
Now we can use the first equation to solve for one of the variables. Let's solve for y:
y = 150 - x
Now we can substitute this into the second equation:
10x + 14(150 - x) = 11(150)
Distribute the 14:
10x + 2100 - 14x = 1650
Combine like terms:
-4x = -450
Divide by -4:
x = 112.5
Now we can substitute this back into the first equation to solve for y:
112.5 + y = 150
y = 37.5
So the coffee shop owner should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian coffee to make the 150-pound blend.
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. There are 14 boys and 9 girls in Mrs. Saldaña's math class. What is the ratio of students to teachers?
A 14/1
B 9:1
C 23:1
D 23 to 2
Answer:
it would be c. 23:1 because there's 23 students in all and only one teacher
Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.
The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.
How to explain the equationThe formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:
B = T/39
This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.
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Please help ASAP!
thx :)
A funnel can hold 159π cm^3 of fluid.
Its height (without the stem) is 12 cm.
What is the diameter of the cone part of the funnel to the nearest tenth?
The value of the diameter of the cone part of the funnel to the nearest tenth is,
⇒ d = 7.2 cm
We have to given that;
A funnel can hold 159π cm³ of fluid.
And, Its height (without the stem) is 12 cm.
Now, We know that;
Volume of cone = πr²h/3
Where, r is radius of cone.
Hence we get;
⇒ 159 = 3.14 × r² × 12 / 3
⇒ 159 = 12.56 r²
⇒ r² = 12.65
⇒ r = √12.65
⇒ r = 3.556
⇒ r = 3.6 cm
Thus, The value of the diameter of the cone part of the funnel to the nearest tenth is,
⇒ d = 2r
⇒ d = 2 x 3.6
⇒ d = 7.2 cm
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Use the following function rule to find f(2).
f(x) = 10x
f(2)=
Give the digits in the thousands place and the tens place. 7195
Answer:
the digits in the thousands place is 7
and the digits in the tens place is 9
Emily's birthday is Sept 30. Conner's birthday is the first one in Sept and is 16 days before the 2nd birthday. Adam has the 2nd birthday. The day numbers of Conner's and Adam's birthdays add up to 30. What days are Conner's and Adam's birthdays on?
The days for Connor's and Adam's birthday are given as: Connor’s birthday is the first one in September and is 16 days before the second birthday. Adam has the second birthday. Their birthday day numbers add up to 30. Therefore, to find the days for Connor's and Adam's birthdays.
we need to perform the following steps Let’s assume that Connor’s birthday is on the xth of September. Then Adam's birthday is on the 16th + xth of September. Their birthday day numbers add up to 30. Thus, x + (x + 16) = 30Simplify the equation: 2x + 16 = 30We have to isolate the variable, x. Subtract 16 from both sides: 2x = 14x = 7Therefore, Connor's birthday is on the 7th of September, and Adam's birthday is on the 16th + 7 = 23rd of September.
Let’s assume that Connor’s birthday is on the xth of September. Then Adam's birthday is on the 16th + xth of September. Their birthday day numbers add up to 30. Thus, x + (x + 16) = 30Simplify the equation: 2x + 16 = 30We have to isolate the variable, x. Subtract 16 from both sides: 2x = 14x = 7 Therefore, Connor's birthday is on the 7th of September, and Adam's birthday is on the 16th + 7 = 23rd of September. Therefore, Connor's and Adam's birthday days are September 7th and September 23rd, respectively.
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Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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at a dinner party i attended, the woman sitting to my right drank 3 glasses of wine during the evening. each contained 8 fl oz. how many standard drinks did she ingest? for this single day, assuming no other alcohol was ingested, did she drink alcohol in moderation?
The woman at the dinner party consumed 24 fluid ounces of wine containing approximately 4.8 standard drinks assuming the wine had an alcohol content of 12%. She exceeded the recommended limit for moderate drinking on that day.
Assuming each glass of wine contained 8 fluid ounces, the woman consumed a total of 24 fluid ounces of wine throughout the evening.
To determine the number of standard drinks ingested, we need to know the alcohol content of the wine. In the United States, a standard drink is defined as containing 0.6 fluid ounces or 14 grams of pure alcohol.
Assuming the wine had an alcohol content of 12% (which is a typical percentage for table wine), we can calculate the number of standard drinks ingested by using the following formula:
Number of standard drinks = (Volume of alcohol consumed in ounces x % alcohol by volume) / (0.6 ounces of alcohol per standard drink)
Number of standard drinks = (24 fl oz x 0.12) / 0.6 fl oz
Number of standard drinks = 4.8
Therefore, the woman consumed approximately 4.8 standard drinks.
To determine if she drank alcohol in moderation, we need to consider the recommended limits for moderate drinking. According to the National Institute on Alcohol Abuse and Alcoholism, moderate drinking is defined as up to one drink per day for women.
Since the woman consumed 4.8 standard drinks in one evening, she exceeded the recommended limit for moderate drinking for that day.
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If the pair of figures is similar, What is the value of x?
Answer:
x = 36
Step-by-step explanation:
the numbers are both multiplied by 3
0=x2+18x+45
I need help with this place
The factorise quadratic equation x² + 18x + 45 = 0 is (x + 3)(x + 15)
How to factorise quadratic equation?A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.
Therefore, quadratic equation can be represented as follows:
ax² + bx + c
where
a, b and c are constantHence, let's factorise x² + 18x + 45 = 0
x² + 18x + 45 = 0
Let's find the two numbers to add to get 18 and multiply to get 45
Therefore, the numbers are 3 and 15
x² + 18x + 45 = 0
x² + 3x + 15x + 45 = 0
x(x + 3) + 15(x + 3) = 0
(x + 3)(x + 15) = 0
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The top and bottom margins of a poster are 4 cm and the side margins are each 2 cm. if the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area.
Widht = ____ (include units)
Height = _____ (include units)
The dimensions of the poster with the smallest area are as follows: The width is 20 cm, and the height is 16 cm.
To determine these dimensions, we need to consider the area of the printed material on the poster, which is fixed at 388 square centimeters. Let's assume the width of the printed material is x cm.
Since the side margins are each 2 cm, the total width of the poster (including the margins) becomes x + 2 cm + 2 cm = x + 4 cm.
Similarly, the total height of the poster is x + 4 cm as well because the top and bottom margins are both 4 cm.
To calculate the area of the entire poster, we multiply the width by the height: (x + 4 cm) * (x + 4 cm) = (x + 4)^2 cm^2.
According to the problem, the area of the printed material is 388 square centimeters. Therefore, we have the equation (x + 4)^2 cm^2 = 388 cm^2.
Solving this equation, we find x + 4 = 19 cm, which means x = 15 cm.
Hence, the dimensions of the poster, width is 15 cm + 4 cm = 19 cm, and the height is also 15 cm + 4 cm = 19 cm.
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if every individual in the population has an equal chance of being selected for a sample, the sample is said to be a/an _____________ sample.
If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."
A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.
This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.
The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.
Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.
The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.
This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.
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a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.
The dimensions of a norman window of maximum area if the total perimeter is 14 feet are 2 ft and 4 ft respectively.
Given:
a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window
we are asked to find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.
the area of the semicircle is given by:
A = πr²/2
The area of the rectangle is just the product of its length and width.
Letting A be the area of the window and adding the two ares, we have:
A = xy + π(y/2)²/2
= xy + π(y²/4)/2
= xy+πy²/8
we know the circumference = πd
the circumference of a semicircle is half of that. The perimeter of a rectangle is the sum of twice the length and twice the width. However, one of the sides is replaced by the semicircle, so we remove it from the equation.
Hence, we have the following equation for the perimeter.
14 = 2x+y+πy/2
let us isolate x from this equation
14 = 2x+y+πy/2
14-y-π/2 = 2x
x = 7-y/2-πy/4
substituting x to the equation for the area, w have:
A = xy + πy²/8
= (7 - y/2 - πy/4)y + πy²/8
= 7y - y²/2 - πy²/4 + πy²/8
= 7y - y²/2 - 2πy²/8 + πy²/8
= 7y - y²/2 - πy²/8
differentiating A with respect to x.
A = 7y - y²/2 - πy²/8
A' = 7 - y - πy/4
⇒ 7 - y - πy/4 = 0
⇒ 28 - 4y - πy=0
⇒ 28 = 4y+πy
⇒ 28=(4+π)y
⇒ y = 28/4+π ≈ 4 ft
perimeter:
14 = 2x+y+πy/2
14 = 2x + 28/4+π + π(28/4+π)/2
14(8+2π)=2x(8+2π)+28(2)+28π
112+28π = 16x+4πx+56+28π
112-56=16x+4πx
56=(16+4π)x
x=56/16+4π
= 14/4+π
x=14/4+π≈ 2 ft.
Hence the dimension are 2 ft and 4 ft.
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In a managed forest, three different trees are planted. The trees are beech, holly, and maple. For every beech tree planted, there are 2 holly trees planted and 5 maple trees planted.
Answer:
1:2:5
8
Step-by-step explanation:
Here is the full question :
n a managed forest, three different trees are planted. The trees are beech, holly and maple.
For every beech tree planted, there are 2 holly trees planted and 5 maple trees planted.
(a) Write down the ratio of trees.
b) If 40 maple trees were planted, how many beech trees would be planted?
the ratio of beech to holly to maple = 1 : 2 : 5
number of maple trees planted =( ratio of maple trees / sum of ratios ) x total number of trees
sum of ratios = 1 + 2 + 5 = 8
let a = total number of trees planted
( 5/8 ) x a = 40
a = 64
total number of beech planted = (1 / 8 ) x 64 = 8
Dan used 1 3/8 gallons of gas on Saturday and 4 1/3 gallons on Sunday how many gallons did he use on the two days combined? Write your answer as a mixed number In simplest form
Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.
How to estimate the total gallons of gas Dan used on Saturday and Sunday combined?To find the total number of gallons Dan used on Saturday and Sunday, we shall add the amount of gas he used each day.
On Saturday, Dan used 1 3/8 gallons.
On Sunday, Dan used 4 1/3 gallons.
To add these two amounts, we shall find a common denominator by determining the least common multiple (LCM) of 8 and 3 is 24.
Converting 1 3/8 to an improper fraction:
1 3/8 = (8 * 1 + 3) / 8 = 11/8
Converting 4 1/3 to an improper fraction:
4 1/3 = (3 * 4 + 1) / 3 = 13/3
Now we can add the fractions using a common denominator, which is 24 in this case:
Let's convert both fractions:
11/8 = (11 * 3) / (8 * 3) = 33/24
13/3 = (13 * 8) / (3 * 8) = 104/24
Now we can add the fractions:
33/24 + 104/24 = (33 + 104) / 24 = 137/24
So, simplifying the fraction, we have:
137/24 = 5 (remainder 17)
5 17/24 gallons.
Hence, Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.
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a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
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A ratio of two complementary angles is 3:7 find the measures of both angles
Given the word problem, we can deduce the following information:
1. The ratio of the two complementary angles is 3:7.
To determine the measures of both angles, we must note first that complementary angles are two angles whose measures add up to 90°. So our equation would be:
\(3x+7x=90\)We simplify the equation above:
\(\begin{gathered} 3x+7x=90 \\ 10x=90 \\ x=\frac{90}{10} \\ x=9 \end{gathered}\)We plug in x=9 into 3x to get the first angle:
Angle 1 = 3x = 3(9) = 27
Then, we plug in x=9 into 7x to get Angle 2:
Angle 2= 7x=7(9)=63
Therefore, the measures of both angles are 27° and 63°.
Which point on the number line represents the product (5) (negative 2) (negative 1)?
A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.
Point A
Point B
Point C
Point D
Point C
Hope This helps!! : }
The point D represents the product of the three integers.
What is Number Line?Number line is defined as the straight line drawn horizontally where the integers are placed at an equally spaced way.
Integers includes natural numbers, 0 and negative of the natural numbers.
Given is the three numbers 5, -2 and -1.
We have to find the product of these three numbers.
When multiplying integers, negative multiplied to negative and positive multiplied to positive gives positive. If one of the number is negative and other is positive, then the result is negative.
(5) (-2) (-1) = (5 × -2) (-1)
= (-10) (-1)
= 10
Hence the product of the three integers 5, -2 and -1 is 10 which is marked as point D on the number line.
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Multiply and simplify if possible. (2sqrt3x -2)(3sqrt3x +5)
show work
The expression is simplified to give 2(9x + 2√3x - 5)
How to determine the valueFirst, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms
From the information given, we have that;
(2√3x - 2)(3√3x + 5)
expand the bracket, we get;
6√9x² + 5(2√3x) - 6√3x - 10
Find the square root factor
6(3x) + 10√3x - 6√3x - 10
collect the like terms, we have;
18x + 4√3x - 10
Factorize the expression, we have;
2(9x + 2√3x - 5)
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Which word is misspelled?
A. Sandwichs
B. Witches
C. Watches
D. Doves
Answer:
A?
Step-by-step explanation:
Answer:
A, sandwichs
it should have an 'e' between h and s
Step-by-step explanation:
i hope this is the answer to your question, please give me brainliest
Nolan tart reading at a quarter to 11. He read for 3 hour and 5 minute. What time doe Nolan top reading?
Nolan stops reading at time 2:05 am.
To calculate this, first, calculate the amount of time elapsed since he began reading. Since he started reading at a quarter to 11, then subtract 11:45 pm (a quarter to 12) from the time he began reading, which was 11:45 pm. This gave me an elapsed time of 0 hours and 15 minutes. then added this elapsed time to the total time Nolan read, which was 3 hours and 5 minutes. This gave us a total elapsed time of 3 hours and 20 minutes. Finally, then added this total elapsed time to the start time of 11:45 pm. This gave me the result of 2:05 am as the time Nolan stopped reading.
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6d + 7 = 61 what does d equal?
Answer:
i would reword this to 6x+7=61
Step-by-step explanation:
So.
move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative
61-7=54
then you divide the number and get your missing numbers
54/6=9
d=9
plug it in
6(9)+7=61
consider the inequality 6x<42.
part A
elizabeth says that any value of x less than 36 makes the equality true.
explain pliss
1. Elizabeth's statement is incorrect because not only values less than 36, but also values equal to or greater than 36 make the inequality true.
2. All values of x less than 7 make the inequality true.
What is inequality?In mathematics, inequality is a relationship or a statement that compares two numbers or expressions that are not equal. It is expressed by symbols such as, >,,, or, which indicate which value is lower, greater, or simply different.
1. Elizabeth's statement is incorrect because not only values less than 36, but also values equal to or greater than 36 make the inequality true. For example, when x is 35, 6x is 210, which is not less than 42. On the other hand, when x is 36, 6x is 216, which is greater than 42, but when x is any value greater than 6, 6x will still be greater than 42.
2. In words, all values of x that make the inequality true are x such that 6 times x is less than 42. We can simplify this inequality by dividing both sides by 6 to get:
x < 7
Therefore, all values of x less than 7 make the inequality true.
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Calculate the area of the figure below.
12 ft.
6 ft.
\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=6\\ h=9 \end{cases}\implies A=\cfrac{9(12+6)}{2}\implies A=81~ft^2\)
Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-direction. The first boat follows a path that can be modeled by a quadratic function with a vertex at (1, 10), whereas the second boat follows a path that can be modeled by a quadratic function with a vertex at (0, –7). Which system of equations can be used to determine whether the paths of the boats cross?
The system of equations can be used to determine whether the paths of the boats cross is
y = 1/9x² + 2/9x² + 89/9
Y = 1/8x² - 7
Option A is likely correct.
How do we calculate?for the 1st boat:
The Parabola equation is ax²+ bx + c
The x-coordinate of the vertex is xv = -b/2a
-b/2a = 1
b = -2a
The equation: ax²+ 2ax + c
The y-coordinate of the vertex is yv = a-2a + c = 10
c-a = 10
We see that the Parabola passes through the point (-8,1), so
1= a * (-8)² - 2a * -8 + c
c = 10 + a
80a + 10 + a = 1
a = -1/9
b = 2/9
c = 89/9
Therefore the parabola equation is y = 1/9x² + 2/9x² + 89/9
for the 2nd boat:
The Parabola equation is ax²+ bx + c
We find the x and y and coordinate of the vertex
We solve as the points (-8, 1)
and have
a = -1/8
b = 0
c = -7
Therefore the parabola equation is Y = 1/8x² - 7
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