Answer:
-40
Step-by-step explanation:
This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.
Fifteen children are planning to perform a dance on Teacher's Day. How many different kinds of equal sized groups can
they form for the performance?
Answer: 2
Step-by-step explanation:
3 groups of 5, or 5 groups of 3.
Answer:
3 groups of 4 is the correct answer
Is a triangle with side lengths 23,30 &19 a right triangle show why or why not . Please need asap! :)
Step-by-step explanation:
To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:
c^2 = a^2 + b^2
19^2 = 23^2 + 30^2
361 = 529 + 900
Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.
How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
For similar questions on distance
https://brainly.com/question/32037529
Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The amount of money that will produce Rs. 15000 at the end of 6 month for 10years at 16% is Rs. 3750
What is Compound interest?Compound interest is the interest you earn on interest.
For example, if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
Compound interest is expressed as;
A = P( 1+r/n) ^{nt}
where A is the amount
n is the number of time its compounded
t is time
A = 15000
r = 16/100 = 0.16
n = 6/12 = 0.5
t = 10 years
15000 = P( 1 + 0.16/0.5) ^{ 0.5× 10}
15000 = P( 1 + 0.32)⁵
15000 = P( 1.32)⁵
15000 = 4P
P = 15000/4
P = Rs. 3750
Therefore the amount that will be deposited to give Rs. 15000 is Rs. 3750.
learn more about compound interest from
https://brainly.com/question/24274034
#SPJ1
When solving a linear system of equations, you are looking for which of the following?
When solving a linear system of equations, you are looking for the points of intersection between the equations
How to determine the statement that completes the given statementFrom the question, we have the following parameters that can be used in our computation:
Solving a system of linear equations
Also, we have the following from the options
Slopey-interceptx-interceptPoints of intersectionThe general rile is that
Slope = rate of change
x and y intercepts = when y and x equals 0
points of intersection = solution to the system
Hence, you are looking for the points of intersection between the equations
Read more about equations at
https://brainly.com/question/148035
#SPJ1
Question
When solving a linear system of equations, you are looking for which of the following?
Slope
y-intercept
x-intercept
Points of intersection
FASTEST GETS MOST POINTS
a tuxedo rental service charges $150 flat fee for a suit plus $50 per additinal day. The total cost of the tuxedo is $300. How many days was the tuxedo rental for?
The tuxedo was rented for 4 days.
Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).
From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:
$150 + $50x = $300
Subtracting $150 from both sides, we get:
$50x = $150
Dividing both sides by $50, we get:
x = 3
So the tuxedo was rented for 3 additional days, making the total number of days rented:
d = 1 + 3 = 4
To learn more about rented here:
https://brainly.com/question/16489690
#SPJ1
On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
For such more such question on glasses
https://brainly.com/question/11980886
#SPJ8
suki has 54 rock songs 92 dance songs and 12 classical songs on her playlist what is the probability that the song will not be classical song
Answer:
The probability that the chosen song is not a classical song is 92.4%.
Step-by-step explanation:
Given that Suki has 54 rock songs, 92 dance songs and 12 classical songs on her playlist, to determine what is the probability that the chosen song will not be a classical song, the following calculation must be performed:
54 + 92 + 12 = 158
158 - 12 = 146
158 = 100
146 = X
146 x 100/158 = X
14600/158 = X
92.4 = X
Therefore, the probability that the chosen song is not a classical song is 92.4%.
Answer:
92.4
Step-by-step explanation:
When two angles and an included side of one triangle are congruent to the corresponding pieces of another triangle?
If two angles and the included side of one triangle are equal to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.
What is the meaning of congruent triangles?
If two triangles have both the same shape and the same size then it is said that the two triangles are congruent. In other words, two triangles are congruent if they are copies of each other.
congruent if they are copies of each other. We can prove that two triangles are congruent if they satisfy any one of the following criteria:-
SSS (side side side ):- If three sides of one triangle are equal to the corresponding three sides of the other triangle.
SAS ( side angle side ):- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle.
ASA ( angle side angle ):- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.
AAS ( angle angle side ):- If two angles and a none included side of a triangle are equal to the corresponding angles and side of another triangle.
RHS (right hypotenuse side ):- If the hypotenuse and one side of the right triangle are equal to the corresponding side and the hypotenuse of another triangle.
Hence, when two angles and an included side of one triangle are equal to the corresponding pieces of another triangle then the two triangles are congruent.
Read more about Congruent Triangles at https://brainly.com/question/28914794
#SPJ4
I NEED HELP ASAP!!!!!!!!
QUESTION BELOW
Answer:
Step-by-step explanation:
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
Learn more about Linear equations here-
https://brainly.com/question/13729904
#SPJ9
please help me (ik it is not D)
Answer:
i think its d good luck!!!!!
Answer:
c
Step-by-step explanation:
i think so
The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
To know more about probability, visit:
https://brainly.com/question/11234923
#SPJ1
what is the y intercept ??
find the value of x.
Answer:
25
Step-by-step explanation:
x+7 = 32 (similar triangles)
x = 25
is this correct?
A.yes
B. No
C. Maybe
D. I DUNNO???!!!
Answer:
its yes
Step-by-step explanation:
because it's x 2 I hope this helps
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
For more such questions on possible outcomes
https://brainly.com/question/30241901
#SPJ8
Yesterday, there was 80 problems assigned for math homework. harry did 20% of them correctly. how ,many problems did harry get right?
Answer:
16 correct
Step-by-step explanation:
80 x 20% = 16
need heeeelp please
Answer:
7.61577310586
Step-by-step explanation:
Pythagoras Theorem 7 squared + 3 squared= 49+9=58
\(\sqrt{58}\)
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230. Find the probability that next year there will be no snowfall in that town on January 1.
1. 0.770
2. 4.348
3. 0.299
4. 1.230
The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.
Now, WE get;
the probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 1 - P (snowfall)
P (no snowfall) = 1 - 0.230
P (no snowfall) = 0.770
Thus, The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ1
An irrigation sprinkler waters
a circular region with a radius of 14 feet. Find the
circumference of the region watered by the sprinkler.
Use 3.14 for pi.
Answer: Use 22/7 for π. Solution: Use the formula. C = 2πr. Substitute 14 for r. C = 2π(14) Substitute 22/7 for π. C ≈ 2 x (22/7) x 14. Simplify C ≈ 2 x (22/1) x 2. C ≈ 88. So, the circumference of the region watered by the sprinkler is about 88 feet.
Step-by-step explanation: Hope this helps
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
Leans more about probability on
https://brainly.com/question/24756209
#SPJ1
please help me asp i dont got much time
The function are f+g(x)=f(x)+g(x), (f-g)x=f(x)-g(x), (g-f)(x)=g(x)-f(x), (f.g)(x)=f(x).g(x), f/g(x)=f(x)/g(x) and g/f(x)=g(x)/f(x)
What is a function?A relation is a function if it has only One y-value for each x-value.
We know that from properties of function,
f+g(x)=f(x)+g(x)
(f-g)x=f(x)-g(x)
(g-f)(x)=g(x)-f(x)
(f.g)(x)=f(x).g(x)
f/g(x)=f(x)/g(x)
g/f(x)=g(x)/f(x)
Hence, the function are f+g(x)=f(x)+g(x), (f-g)x=f(x)-g(x), (g-f)(x)=g(x)-f(x), (f.g)(x)=f(x).g(x), f/g(x)=f(x)/g(x) and g/f(x)=g(x)/f(x)
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
Factorize q2-4 completely
The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).
What is the factored form of the expression?Given the expression in the question:
q² - 4
To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.
The difference of squares formula states that :
a² - b² can be factored as (a + b)(a - b).
Given that:
q² - 4
Replace 4 with 2²
q² - 2²
From this expression, let a = x and b = 2
a² - b² = (a + b)(a - b)
q² - 2² = (q + 2)(q - 2)
Therefore, the factored form is (q + 2)(q - 2).
Learn more about the difference of squares here: https://brainly.com/question/30186712
#SPJ1
Within the database environment, a data model represents data structures with the purpose of supporting a specific problem domain.a. Trueb. False
True. A data model is an abstract representation of the data structures used in a database.
It is typically used to represent the structure of the data and the relationships between different elements of the data. Data models are used to define the structure of the data in a database, as well as the relationships between different elements of the data. A data model is a combination of entities, attributes, relationships, and constraints. It is used to describe the data that is stored in a database and how the data can be accessed and manipulated. The data model also defines the relationships between the different elements of the data, such as which element of the data is related to which other element. The data model also defines the constraints that must be met in order to ensure the integrity of the data. A data model is also used to define the data types that are used in the database and the operations that can be performed on the data. For example, a data model may define data types such as integers, strings, and dates, as well as operations such as arithmetic, comparison, and sorting. A data model also defines rules for the structure and organization of the data, such as which fields must be present in a record, the order in which records must be stored, and the types of relationships that can exist between records.
Learn more about combination here:
https://brainly.com/question/20211959
#SPJ4
A pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. Can the cooks at the pizzeria make a dozen pizzas without refilling the canister? Complete the explanation.
The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.
What is the unitary method?
The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.
We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.
So, number of cups that will make 5 gallon is 16 * 5 = 80 cups
Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.
Hence, the cooks cannot make a dozen pizzas without refilling the canister.
Learn more about unitary method from the given link
https://brainly.com/question/28731562
#SPJ1
Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles ---- Total Fee
2 Miles ---------------- $15.00
5 Miles ---------------- $19.50
7 Miles ---------------- $22.50
10 Miles ---------------- $27.00
15 Miles ---------------- $34.50
What does the y-intercept mean in this situation?
A) When the cab travels 0 miles, the total fee will be $1.50.
B) When the cab travels 0 miles, the total fee will be $12.00.
C) For every additional mile the cab travels, the total fee increases by $1.50.
D) For every additional mile the cab travels, the total fee increases by $12.00.
The meaning of the y-intercept in this situation is ,
''For every additional mile the cab travels, the total fee increases by $12.00.''
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
From the table, we have the following parameters:
Points (x, y) = (2, 5) and (15.00, 19.50)
So, we would calculate the slope as follows:
Slope = (19.50 - 5)/(15.00 - 2)
Slope = 14.50/13
Slope = 1.11
Hence, We get;
Fixed fee = $15 - (1.12 x 2)
= $15 - 2.24 ≈ $12.00
So, We get;
For every additional mile the cab travels, the total fee increases by $12.00.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2
Find the 87th term in the following
arithmetic sequence:
-2, 6, 14, 22, ...
Hint: Write a formula to help you.
1st term + common difference (desired term - 1)
Answer:
first term (a)=-2
common difference (d)=8
Now,
87th term=a+(n-1)d
=-2+(87-1)×8
=-2+86×8
=-2+688
=686