A party rental company has chairs and tables for rent. The total cost to rent 7 chairs and 9 tables is 73. The total cost to rent 5 chairs and 3 tables is 29 . What is the cost to rent each chair and each table?
7C+9T=73
+
5C+3T=29
(12C+12T=102)/12
C+T=17/2
What is the arc length of an arc with radius 15 inches and central angle 30 degrees
Answer:
7.855 inches
Step-by-step explanation:
The formula to find the length of an arc is :
Arc Length = \(\frac{\theta}{360}\) × 2 π r
Here,
Θ ⇒ size of the angle ⇒ 30°
r ⇒ radius ⇒ 15 inches
Let us solve it now.
Arc length = \(\frac{\theta}{360}\) × 2 π r
Arc length = \(\frac{30}{360}*2*\pi*15\)
Arc length = \(\frac{30*2*\pi*15}{360}\)
Arc length = \(\frac{2827.8}{360}\)
Arc length = 7.855 inches
Let me know if you have any other questions. :)
£1500 between David & sammie ratio 3:7
plz refer the above..
hope it helps you out!!
Answer:
David=$450 Sammie=$1050
Step-by-step explanation:
$1500
The ratio is 3:7
Total units= 10
1500/10=150
Therefore each unit is $150
1. 3x$150=$450
2. 7x$150=$1050
OR
1. 3x$150=$450
2. $1500-$450=$1050
28 ÷ 7 = 4, therefore 28 ÷ 0.7 = 40.
True or false
Answer:
True
Step-by-step explanation:
28 ÷ 0.7 =
28 ÷ (7 ÷ 10) =
28 ÷ 7 * 10 = ==> 28 ÷ 7 = 4
4 * 10 = 40
A dirt-bike track is 3/4 mile long. Jaylin drives on the track and completes each lap in 1/16 of an hour.
Answer:
Step-by-step explanation:
16 laps/hour × 3/4 mile/lap = 12 miles/hour
Therefore, Jaylin covers a distance of 12 miles in 1 hour of riding on the dirt-bike track.
help please if woukd be greatly appreciated !!!
Answer: ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)
Step-by-step explanation:
If you have a positive x coordinate and a negative y coordinate (2,-3) and you have to reflect it across the x axis is the -3 going to stay the same or become positive? If you could answer the question fast I would be grateful.
Answer:
The -3 would become positive.
Step-by-step explanation:
When reflecting over the x or y-axis, the x-coordinate and y-coordinate will always flip to it's opposite.
2 will become -2
-3 will become 3
Find an equation in slope-intercept form for the line. Through (5,2) and (3,5) The equation of the line is (Simplify your answer. Use integers or fractions for any numbers in the equation. Type your answer in slope-intercept form. Do not factor.)
To find the equation of the line passing through the points (5, 2) and (3, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b the line in slope-intercept form is: y = (-3/2)x + 19/2
First, let's calculate the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points, we have:
m = (5 - 2) / (3 - 5)
m = 3 / (-2)
m = -3/2
Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b). Let's use the point (5, 2):
2 = (-3/2)(5) + b
2 = -15/2 + b
To find b, we can add 15/2 to both sides of the equation:
2 + 15/2 = b
4/2 + 15/2 = b
19/2 = b
Therefore, the equation of the line in slope-intercept form is:
y = (-3/2)x + 19/2
To learn more about slope-intercept form click here : brainly.com/question/30381959
#SPJ11
Find the total of the areas under the standard normal curve to the left of z1z1 and to the right of z2z2. Round your answer to four decimal places, if necessary.
z1=−2.02
z2=2.02
The total area under the standard normal curve to the left of z1 and to the right of z2 is 0.9772. This means that approximately 97.72% of the values in a standard normal distribution are below z1 and above z2.
To calculate this, we can use the properties of the standard normal distribution, also known as the z-distribution. The z-distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The area under the curve represents the probability of observing a value within a certain range.
To find the area to the left of z1, we can use a z-table or a statistical calculator. From the z-table, we find that the area to the left of z1 is 0.9788.
To find the area to the right of z2, we subtract the area to the left of z2 from 1. From the z-table, we find that the area to the left of z2 is 0.9788. Subtracting this value from 1, we get 0.0212.
Therefore, the total area under the standard normal curve to the left of z1 and to the right of z2 is 0.9772 (0.9788 - 0.0212 = 0.9772).
Learn more about normal distribution here : brainly.com/question/30390016
#SPJ11
suppose the probability that maya is home is 1/3 and the probability that jim is home is 1/4. but the probability that jim is home given that maya is home is 1/2. what's the probability that they're both home?
The probability that they're both home is 1/12.
In the given question,
Probability of Maya at home P(A) = 1/3
And probability of Jim at home P(B) = 1/4
The probability that Jim is home given that maya is home P(A∪B) = 1/2
We have to find the probability when they both are at home P(A ∩ B).
As we can see that the probability of both the events are independent
So, we can use
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Therefore,
1/2 = 1/3 +1/4 – P(A ∩ B)
P(A ∩ B) = 7/12 – 1/2
P(A ∩ B) = 1/12
Hence, the probability that they're both home is 1/12.
To learn more about probability link is here.
brainly.com/question/11234923
#SPJ4
Exponential, triangular, Weibull, beta, Erlang, gamma, Iognormal distributions are often referred to as Discrete theoretical distributions continuous empirical distributions discrete empirical distributions Continuous theoretical distributions QUESTION 9 is important in most simulation run and used to keep an entity when it cannot move Global variable Altribute Queue Resource
Exponential, triangular, Weibull, beta, Erlang, gamma, and lognormal distributions are often referred to as continuous theoretical distributions.
In most simulations, a queue is important for keeping an entity when it cannot move.
Exponential, triangular, Weibull, beta, Erlang, gamma, and lognormal distributions are all examples of continuous theoretical distributions. These distributions are used to model random variables that take on continuous values, such as time, length, or volume. They are characterized by probability density functions that describe the likelihood of different values occurring within a given range.
In simulation modeling, a queue is an important construct used to manage entities or objects that need to wait or be processed in a specific order. When an entity cannot move or proceed further in the simulation, it is typically placed in a queue until the conditions allow it to progress. Queues are commonly used in various simulation scenarios, such as modeling service systems, production lines, or network traffic.
Global variables and attributes are generally used to store and manage data within a simulation, but they do not specifically address the concept of keeping an entity when it cannot move. Resources, on the other hand, are entities that are required or consumed by other entities in the simulation, such as equipment or personnel, but they do not directly handle the situation of entities being unable to move.
Learn more about lognormal distributions here:
brainly.com/question/33377847
#SPJ11
Which, if any, of the following generalized formulas does not exist for interhalogen compounds? (X and Y represent different halogens.)
XY
XY2
XY3
XY5
All the above can represent stable interhalogen compounds.
All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.
The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.
Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.
To learn more about compounds click here: brainly.com/question/31217310
#SPJ11
PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)
Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Step-by-step explanation:
I really need help with this question.. I've been stuck on it for a while
Answer:
that forms a triangle .
.....
I need help with this question. Determine if each trinomial is a perfect square trinomial. Write yes or no if yes factor it.
Solution
Perfect square trinomials are algebraic expressions with three terms that are obtained by multiplying a binomial with the same binomial.
To determine if the trinomials in the question is a perfect trinomial, we will factor each of the trinomials and then decide which is a perfect trinomial
\(\begin{gathered} m^2-6m+9 \\ \rightarrow m^2-3m-3m+9 \\ \rightarrow m(m-3)-3(m-3) \\ \rightarrow(m-3)(m-3) \\ \rightarrow(m-3)^2 \end{gathered}\)The first trinomial above is a perfect trinomial
\(\begin{gathered} 9n^2+30n+25 \\ \rightarrow9n^2+15n+15n+25 \\ \rightarrow3n(3n+5)+5(3n+5) \\ \rightarrow(3n+5)(3n+5) \\ \rightarrow(3n+5)^2 \end{gathered}\)The second trinomial above is a perfect trinomial
\(\begin{gathered} 2w^2-4w+9 \\ can\text{ not be farctored} \end{gathered}\)The third trinomial above is not a perfect trinomial
\(\begin{gathered} 4d^2-4d+1 \\ \rightarrow4d^2-2d-2d+1 \\ \rightarrow2d(2d-1)-1(2d-1) \\ \rightarrow(2d-1)^2 \end{gathered}\)The fourth trinomial above is a perfect trinomial
The summary of the solution is given below
\(\begin{gathered} m^{2}-6m+9 \\ Yes \\ Factor\rightarrow(m-3)^2 \end{gathered}\)\(\begin{gathered} 9n^{2}+30n+25 \\ Yes \\ Factor\rightarrow(3n+5)^2 \end{gathered}\)\(\begin{gathered} 2w^{2}-4w+9 \\ No \\ Factor\rightarrow none \end{gathered}\)\(\begin{gathered} 4d^2-4d+1 \\ Yes \\ Factor\rightarrow(2d-1)^2 \end{gathered}\)Select all of the values that have exactly 3 significant digits.
0.0807
O 005.5
13.41
0367.0
☐ 1,990
All the values with exactly three significant digits are: 0.0807, 1990
Significant digits of a number tell us what the actual meaningful representation of a number is. There are certain rules to figure out which digits in a number are significant such as
All non-zero digits in any number are significant. Ex: 33.4 has 3 significant digits; 19875 has 5 significant digits.All zeros between two non-zero digits are significant. Ex: 103.0078 has 7 significant digits. 700519 has 6 significant digits.Leading zeros that is all zeros to the left of the first non-zero digit and all zeros to the right of a decimal point are insignificant. 0.00081 has 2 significant digits; 0.547 has 3 significant digits.Zeros to the right of a decimal point are significant if and only if they are not followed by a non-zero digit. Ex; 92.00 and 20.00 both have 4 significant digits.After a decimal point, all zeros after the last non-zero digit are significant. Ex: 0.0079800 has 5 significant digitsTrailing zeros are significant in a whole number with a decimal point shown and insignificant if there is no decimal point shown. Ex: 540. has 3 significant digits while 540 has 2 significant digits.Thus the numbers with 3 significant digits are: 0.0807, 1990
Problem on significant figures.
brainly.com/question/16412482
#SPJ4
Mrs. Stelzel uses 10 cups of tomatoes and 3 cups of onions to make salsa. How many cups of tomatoes should she use if she uses 1.5 cups of onions? PLS HELPP
Answer:
5 cups of tomatoes
Step-by-step explanation:
3÷1.5 = 2
10÷2 =5
HELPPPPPP!!!!Will (-2)2 and -22 have the same solution?
Why or why not?
Answer:
Yes they would be because 2^2 or 2x2 =4 and -2^2 or -2x-2 also equals four because a neg x a neg equals a pos
Step-by-step explanation:
PLEASE HELP!
Compare the two expressions using <, >, or =. For each, explain how you can determine the answer without calculating.
1. 100 x 8 ____ 25 x (4 x 7)
2. 36 elevens ____ 40 elevens - 3 elevens
3. 12 x 24 ____ 6 twenty fours, doubled
Answer:
1. >
2. <
3. =
Step-by-step explanation:
100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.
36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.
12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.
When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)
what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
someone help me please
i need answers
6 divided by 2/3=
12 divided by 3/8=
1/4 divided by 3=
2/5 divided by 2=
2 divided by 1/2=
9 divided by 3/5=
5 divided by 2/7=
PLEASE ANSWER CORRECTLY
Answer:
17.5
Step-by-step explanation:
solve 2(x+7) +3 (x+1)
Answer:
5x +17Step-by-step explanation:
Simplify step by step:
2( x+7 ) +3 ( x+1 )
We'll distribute:
= ( 2 ) ( x ) + ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )
= 2x + 14 + 3x + 3
We'll Combine Like Terms:
= 2x + 14 + 3x + 3
= ( 2x + 3x ) + ( 14 + 3 )
= 5x + 17 Answer!
Answer:
Step by step Explanation:
2(x+7) +3(x+1)
Open the brackets (multiply outside number by the numbers and letters inside the brackets)
2x + 14 + 3x+ 3
Collect like terms (collect ones that look alike in one side )
2x + 3x + 14 + 3
Add the like terms (add the ones that look alike)
= 5x + 17 (Answer)
I hope you understand it, it's really simple just work step by step.
Good luck ✅.
what expression is equivalent to 1.2y + 4.5 - 3.4y - 6.3
The expression is equivalent to the given expression by combining like terms is -2.2\(y\)-1.8 .
What is a expression?An expression is a set of terms combined using the operations +, -, x or ÷
and the variables. Number, symbols and operators are grouped to form an expression . An expression can be simplified by combining like terms.
Given that,
1.2y + 4.5 - 3.4y - 6.3
The terms that has same variables are like terms Combine like terms by adding or subtracting the terms.
-1.2\(y\)-3.4\(y\)+4.5-6.3
-2.2\(y\)-1.8
Hence, The expression is equivalent to the given expression by combining like terms is -2.2\(y\)-1.8 .
To learn more about expression from the given link:
https://brainly.com/question/20757557
#SPJ9
2x+3=6x-5 Solve the eqution
Answer:
2
Step-by-step explanation:
2x+3=6x-5
2x-6x=-5-3
-4x=-8
X=8/4
X=2
So the final answer is 2
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers
The correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
What is an average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find the estimated average number of shoppers in the original store at any time:
In the new store, the manager estimates that an average of 90 shoppers per hour enter the store, which is equivalent to 1.5 shoppers per minute. The manager also estimates that each shopper stays in the store for an average of 12 minutes. Thus, by Little’s law, there are, on average, N=rt = (1.5)(12) = 18 shoppers in the new store at any time. This is (45-18)/45 × 100 = 60 percent less than the average number of shoppers in the original store at any time.Therefore, the correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
Know more about averages here:
https://brainly.com/question/20118982
#SPJ4
The complete question is given below:
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?
(A) 60
(B) 70
(C) 80
(D) 50
2x-(8)-7x=4+10 help please
Answer:
x= -22/5 or -4.4
Step-by-step explanation:
Step 1- Collect like terms.
(2x-7x)-8= (10+4)
-5x-8= 14
Step 2- Add 8 to both sides.
-5x-8= 14
+8 +8
-5x= 22
Step 3- Divide to both sides.
-5x= 22
-5 -5
x= -22/5 or -4.4
Which of the following intervals corresponds to the smallest area under a Normal curve?
a. Q1 to Q3
b. μ to μ + 3σ
c. Q1 to μ + 2σ
d. μ - σ to Q3
The interval μ - σ to Q3 corresponds to the smallest area under a normal curve because it includes only a small portion of the data set.
The answer to this question is option D, which is μ - σ to Q3. To understand why this is the correct answer, we need to first understand what each of the intervals represents. Q1 and Q3 are the first and third quartiles of the data set, respectively. μ is the mean of the data set, and σ is the standard deviation.
When we look at the interval μ - σ to Q3, we can see that it includes the upper quartile and some of the data points to the left of it. This means that the area under the normal curve within this interval will be relatively small compared to the other options.
On the other hand, option B includes the mean and a larger range of data points, which would result in a larger area under the curve. Option C includes Q1 and a larger range of data points, which would also result in a larger area. Option A includes both Q1 and Q3, which cover the majority of the data set and would therefore have the largest area under the curve.
In summary, the interval μ - σ to Q3 corresponds to the smallest area under a normal curve because it includes only a small portion of the data set.
Visit here to learn more about normal curve:
brainly.com/question/31391220
#SPJ11
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
Felix and Megan are going hiking and are trying to figure out how much water
they should bring with them on the hike.
t = the length of the hike
w = the amount of water they should bring on the hike
Which of the variables is dependent?
Answer:
w
Step-by-step explanation:
The amount of water they need to bring depends on how long they will be hiking.
How to solve this
Sin^4a - cos^4a
Answer:
The answer is (-sin(cos^4a(x)))^4a