The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation to sentence transformation.
The mathematical equation is given below.
r² - 15 = t + 19
In the above equation, there are two variables that are 'r' and 't'. Then the mathematical equation can be converted into a sentence as,
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
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The required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
What is a word sentence?
A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.
Given:
The given equation is
[tex]r^{2}[/tex]-15 = t+19
According to given question we have
The expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Therefore, the required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
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Question 2 of 3
Question 2
Select the sentence(s) that represent(s)
the equation.
7(p +23) = 102
Save and Exit
A) Seven times the sum
of p and twenty-three
is the same as one
hundred two.
B) Seven times p plus
twenty-three equals
one hundred two.
C) Seven times the quan-
tity p plus twenty-three
equals one hundred
two.
D) The quantity seven
Submit Assignment
The sentence that represents the equation (7p + 23) = 102 is Seven times the sum of p and twenty-three is the same as one hundred two.
It is given that (7p + 23) = 102
Now, we have to write this equation in a sentence or to translate it in words.
As we can see in the given equation that seven is multiplied by p and then twenty three is added in the multiplication of seven and three, after that their addition is equal to one hundred two.
So, the Option A will be the correct answer which is Seven times the sum of p and twenty-three is the same as one hundred two.
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Jolene works at Food Lion and she makes $13.25. She works 4 hours a day Monday through Friday and 8 hours a day on the weekend. How much would she make during a 7-day week?
She would make $477 during a 7-day week
How much would she make during a 7-day week?The given parameters are
Hourly rate = $13.25Weekdays = 4 hours dailyWeekends = 8 hours dailyThere are 5 days in a weekday and 2 in a weekend
So, the total earning is
Total = Rate * [Weekday hours * 5 + Weekend hours * 2]
This gives
Total = $13.25 * [4 * 5 + 8 * 2]
Evaluate
Total = $477
Hence, she would make $477 during a 7-day week
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About 70% of people are right-handed. Of 352students in a school. Which is a reasonable number of right-handed students ?
Answer: 246 right-handed students
Step-by-step explanation:
70%=
70/100=0.7
352*0.7=246.4
246.4=246 right-handed students ==> I rounded the answer since you can have 246 students and an additional 0.4 students. You can't have part of a student.
A hospital stores one type of medicine in 222-decagram containers. Based on the information given in the box above, how many 111-milligram doses are there in one 222-decagram container?
Answer:
2,220,000 mlg
Step-by-step explanation:
This question can be solved by a simple conversion calculation. Thankfully we're converting between two units of measurement with the same base!
So First, let's convert 222 decagrams to grams, and then convert grams to milligrams.
The conversion rates we need are:
1 decagram = 10 grams
1 gram = 1000 milligrams
Now for the math!
[tex]222 dg *\frac{10g}{1dg} =2220g\\then...2220g * \frac{1000mlg}/1g\\\\\\=2,220,000 mlg[/tex]
Apply the associative and commutative properties of multiplication to write your expression as the product of groups of 2•4
Verify the identity.
secx-secxsin^2x= cos x
The identity is verified, yes. secx-secxsin^2x=cos x
What is an identity?
An identity in mathematics is an equality connecting two mathematical expressions, A and B, such that both expressions provide the same result for any value of the variables falling within a given range of validity.
An identity is an equation that, regardless of the values used, is always true. 2 x + 3 x = 5 x is an identity because, according to the preceding equation, 2 x + 3 x will always equal 1 regardless of the value;
According to given information;
secx = 1/cosx
cos²x+sin²x= 1
**sin²x = 1-cos²x
by (*) :
secx - secx sin²x=(1/cosx) -(1/cosx) sin²x
= (1/cosx) (1- sin²x)....factory :(1/cosx)
by(**)
sec x-sec x sin²x = (1/cos x)cos²x
sec x-sec x sin²x = cos x
( simplify by : cos x)
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What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?
It's not 1.6
What is a first step to solve the equation 0.3n - 15 = 0.2n - 5?
Answer:
100
Step-by-step explanation:
0.3n - 15 = 0.2n - 5
0.3n - 0.2n = - 5 + 15
0.1n = 10
10/0.1 = n
n = 100
!!ABSOLUTE VALUE!!
can anyone do this problem out for me and show the work and steps?
ILL GIVE BRAINLIEST!!!!!
E. -2(a-8)how do you do this question?
Answer: -2a + 16
Step-by-step explanation:
You must do the distributive property. Since "a-8" is in the parenthesis and -2 is outside the parenthesis, you must multiply -2 by (a-8). -2 multiplied by a will equal 2a since you don't know what variable a equals. Next, you multiply -2 and -8 which would equal positive 16. The reason why it is positive is because 2 negative numbers multiplied or divided would equal a positive number. Thus, the answer is -2a + 16.
a=(3,-4), b=(8,-1) y c=(-2,5)
V=3a-2b+c
Answer:
5729627829263#wyyeiwyuwityeioe
Open the file to answer the question
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.
How do you find the probability of success for each trial?
Each trial has a head (success) and a tail (failure) outcome (failure). Each trial's chances of success are p = 1/2 and its chances of failure are q = 1 1/2 = 1/2. The variable X, which counts the number of successes across 12 trials, is the one that interests us. This is an illustration of a 12-trial Bernoulli experiment.What is the probability formula?
Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.
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In consecutive odd integers, three times the largest integer is fifteen less than two-thirds the smallest integer. find both integers. someone help please
Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.
As given,
Let x, x +2 be two consecutive odd integers
Three times largest integer=3( x+2)
15 less than 2/3 smallest integer=(2/3)x -15
Equation :
3(x+2)=(2/ 3)x -15
⇒ 3x +6=(2x -45)/3
⇒ 9x-2x= -18 -45
⇒ 7x=-63
⇒ x =-9
and x+2 =-7
Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.
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Approximately, when did all the continents combine into the pangaean supercontinent?
a) 110ma
b) 420ma
c) 240ma
d) 650ma
Answer:
C) 240ma
Step-by-step explanation:
simplify: 12.9 - 2.8 - 7.2 + 9.1
A. 17.6
B. -6.2
C. 26.4
D. 12
Step by step answer pls
Answer:
D
Step-by-step explanation:
the simplification of 12.9 - 2.8 - 7.2 + 9.1 is 12
You have a block of metal with a volume of 56 cubic centimeters and a mass of 153 grams.
What is the density?
Answer:
C
Step-by-step explanation:
153/56= 207G
The answer to 5√12 × √7, given in its simplest form, is t√√u, where t and u are integers.
Calculate the values of t and u.
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form: 10√21 where t = 10 and u =21
A model train is on a track 100 cm from its starting point. turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. which equation models the position of the train along the track after you turn the switch?
The equation which models the position of the train along the track can be given as |x − 100| = 25.
One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.
The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.
The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.
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A college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. Match the strategies to their corresponding sampling techniques. 1. The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes. 2. The administrator gets the complete list of students at the college and surveys every 50th students on the list. 3. The administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. She then surveys these 250 students. 4. The administrator stands by the front door of the admissions department and asks the first 250 students who walk in. 5. The administrator researches the ethnic make-up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college. a. Convenience Sampling b. Simple Random Sampling c. Systematic Sampling d. Cluster Sampling e. Stratified Sampling
The matched pairs were identified using sampling techniques as follows:
a - 3b - 2c - 1d - 4e - 5Sample techniques:Convenient: The most convenient way to sample, for example, all people in one location.
Random: A selection of options drawn at random from a set of all.
Systematic: Every k element is sampled for one option.
Cluster: Divide into groups, and survey all elements of each group.
Stratified: Divided into groups, with a percentage of each group surveyed.
So,
Item a:
Students are chosen at random, resulting in simple random sampling.3 matches a.Item b:
Every kth student, in this case, every 50th student, resulted in systematic sampling.b corresponds to 2.Item c:
A proportion of each group is sampled after being divided into groups. As a result, stratified sampling.1 match c.Item d:
Cluster sampling is achieved by dividing the population into groups (classes) and sampling all elements of each group.d equivalents 4.Item e:
The number of people in a location, and thus convenience sampling. e matches 5.Therefore, the matched pairs were identified using sampling techniques as follows:
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The correct question is given below:
A college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. Match the strategies to their corresponding sampling techniques.
a. 12345 The administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. She then surveys these 250 students.
b. -12345 The administrator gets the complete list of students at the college and surveys every 50th students on the list.
c. -12345The administrator researches the ethnic make-up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college.
d. -12345 The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes.
e. -12345 The administrator stands by the front door of the admissions department and asks the first 250 students who walk in.
1. Stratified Sampling
2. Systematic Sampling
3. Simple Random Sampling
4. Cluster Sampling
5. Convenience Sampling
Use the diagram showing points P and Q. P(-2, 1) Q(2, 1)
Determine which point is the remaining vertex of a triangle with an area of 4 square units.
R(2, 0)
S(-2,-1)
T(-1, 0)
U(2,-2)
please help !! include explanation
x^4 - 5x^2 + 6 = 0
solve using quadratic formula
someone please help me
Answer:
45
Step-by-step explanation:
180 - 45 - 90 = 45
How many significant digits are in the number 1.00460? select one: a. 6 b. 3 c. 5 d. 4
There are 6 significant digits in the number 1.00460.
What are digits?In mathematics, digits are the single symbols used to represent numbers. For example, in the number 89, the digits 8 and 9 are both two digits. As a result, numerals such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 are forms of digits that are used to represent a combination of numbers and perform arithmetic operations in our daily lives.We use ten digits to create all numerals. A numeral is a written number. These are the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.Therefore, there are 6 significant digits in the number 1.00460.
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A car travels 100 meters in 5 seconds. What is the speed of the car?
speed = distance over time; 1 mile = 1609 meters
Answer:
20 m/s
Step-by-step explanation:
speed = 100m /5s = 20 m/s
= 72 km/hr
= 72 km / hr * 1 mile / 1.609 km = 44.7 mph
Find the amount in jay's account after 6 years when the principal deposit was $285 and is compounded annually with a rate of 1.9%.
The amount in Jay's account after 6 years is $357.20.
Given that, the principal=$285, time period=6 years and rate of interest =1.9%.
We need to find the amount in Jay's account after 6 years.
How to calculate the compound interest?Compound interest, or 'interest on interest', is calculated using the compound interest formula. The formula for compound interest is [tex]A=P(1+\frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Now, [tex]A=285(1+\frac{1.9}{100} )^{6}=285(1.019)^{6}[/tex]
=285×1.1195=$357.20
Therefore, the amount in Jay's account after 6 years is $357.20.
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Greg ate 1/6 of a pizza. afterward, steve ate 1/3 of the remaining pizza. what fraction of the pizza was left after that?
Answer: 1/2
1/3 = 2/6, and 2/6 + 1/6 = 3/6. Since 3/6 can be simplified to 1/2, there would be half of a pizza left.
Here's an image to explain:
How many gallons are in a 2 liter bottle of soda?
Answer:
1/2 gallon.
Step-by-step explanation:
1 liter = 1/4 gallon
Basing the measurement off of this info, we can determine that 2 liters is equal to a half-gallon because it is 2 quarters, which simplifies to one-half.
14
Starting with the number 0 and counting left
to right,
0
35
5
40
10
45
Date:
15 20 25 30
50
55
60
65
write the first number
write the fourth number
write the ninth number
Answer:
first number: 0
fourth number: 15
ninth number: 40
a²-7a²b² + b² factor
