The three numbers are found by forming and solving a system of equations: the first number is 19, the second is 18 (which is one less than the first), and the third is 31 (which is 5 less than twice the second and exceeds the first by 12).
To solve the problem of finding the three numbers, we can set up a system of equations based on the information given:
The first number is x.The second number is one less than the first, so it is x - 1.The third number is 5 less than twice the second, which translates to 2(x - 1) - 5.The third number also exceeds the first by 12, so 2(x - 1) - 5 = x + 12.Now we can solve for x:
2(x - 1) - 5 = x + 122x - 2 - 5 = x + 122x - x = 12 + 2 + 5x = 19The first number is 19. The second number is 18 (19 - 1), and the third number is 31 (2(18) - 5).
Thus, the three numbers are 19, 18, and 31.
Please answer questions 1 and/or 2, thnx
Which problem can be solved using base-10 blocks? A. Simplify x − (x + 2). B. Model the sum of 950 and 26. C. Order 2.7, 3.1, and 2.9 from greatest to least. D. Plot the points (2, 5) and (4, 9).
I need help ASAP
the lowest temperature ever recorded in cloud city was 11 degrees farienheit the highest was 124 degrees Fahrenheit higher than the record low temperature could anyone help me solve this
Round 8.984 to nearest hundredths, tenths, ones and tens
A shelf support 3 3/4. If a book weighs 3/8 of a pound, how many books can I think hold? If can add more support so the shelf hold 5 1/4 pounds, how many books can the shelf hold now?
What is the domain for the given function?
X. Y
-6. -7
-1. 1
0. 9
3. -2
A. {X|x= -6, -1, 0, 3}
B {y|y=7,-2,1,3,9
C ×|x = -7,-6,-2,-1,0,1,3,9
D. Y|y =-7,-6,-2,-1,0,1,3,9
What do you add to 2 3/8 to make 6
A group of students and teachers are going on a field trip? One ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?
The entire group will need 3 buses to transport them on the field trip.
How many buses will be needed?Let total number of people in the group be represented by 'P'
We are told that 1/9 of the group can fit on 1/3 of a school bus.
So, this shows 1/9 of P = (1/3) of a bus; we will write an equation to find the total number of buses needed
==>
(1/9)P = (1/3) bus
P = (1/3) bus * 9
P = 9/3
P = 3 buses.
Read more about equation
brainly.com/question/29174899
#SPJ3
how can i show my work for 0.4 divide 1.44
Calculate 2,000-1,853
A sack full of medals contains gold, silver, and bronze. If selected at random, the probability of picking a gold medal is 5/12. The probability of picking a silver medal is 1/3. What is the probability of picking a bronze medal? Express the probability as a number between 0 and 1.
Final answer:
The probability of picking a bronze medal is found by subtracting the probabilities of picking a gold and a silver medal from 1. As the probability of picking gold is 5/12 and silver is 1/3 (or 4/12), the probability of picking bronze is 1 - (5/12 + 4/12) = 1/4 or 0.25.
Explanation:
The probability of picking each type of medal from the sack adds up to 1 since one of the medals must be picked. Given the probability of picking a gold medal is 5/12 and the probability of picking a silver medal is 1/3, we can calculate the probability of picking a bronze medal by subtracting the probabilities of picking a gold or silver medal from 1.
First, let's find a common denominator for 5/12 and 1/3, which is 12. The probability of picking a silver medal expressed with the denominator 12 is 4/12 (since 1/3 equals 4/12).
Now, we add the probabilities of picking a gold or silver medal: 5/12 + 4/12 = 9/12.
Finally, we subtract this sum from 1 to find the probability of picking a bronze medal:
1 - 9/12 = 3/12, which simplifies to 1/4.
Therefore, the probability of picking a bronze medal is 1/4, or 0.25 when expressed as a number between 0 and 1.
James is reading the latest book by his favorite science fiction author. The table shows the number of pages James read over different periods of time. Calculate the proportionality constant from the table in terms of pages per minute.
A) 0
B)1/2
C)8
D)12
Time (minutes)8 16 24
Pages Read 4 8 12
The proportionality constant from the table in terms of pages per minute is 1/2.
option B.
What is the proportionality constant ?The proportionality constant from the table in terms of pages per minute is calculated by applying the following formula.
The given time and pages read are;
Time (minutes)-------- 8 16 24
Pages Read ----------4 8 12
Mathematically, the formula for the proportionality constant is given as;
proportionality constant = pages read / time taken
proportionality constant = 4 pg / 8 min = 8 pg / 16 min = 12pg / 24 min
proportionality constant = 1/2 pg/min = 1/2 pg/min = 1/2 pg/min
Thus, the proportionality constant from the table in terms of pages per minute is calculated by dividing the pages read by the time taken to read the pages.
Learn more proportionality constant here: https://brainly.com/question/1835116
#SPJ1
indira, bonnie and chang all work at the same pet store. indira works every other day. bonnie works every fourth day. chang works every fifth day. today they all work together. how many days will it be until they work together again?
At a bake sale, brownies were sold for .75 each, cookies were sold for .50 each. There were 10 more cookies sold than brownies. The total amount earned was 40. How many brownies and cookies were sold
Please help me on number 12 :)
Thank you ! :)
What value makes 2 square root 51 equal to 10 square root 51x
Pls help me I need help
slove the equation y=mx+b for m
a)m=y-b-m
b)m=(y-b)m
c)m=y+b/x
d)m=y-b/x
When you divide two fractions is the quotient always smaller than the dividend
Use complete sentences to describe why postulates are helpful.
Answer:
Postulates are the base structure of Mathematics.Step-by-step explanation:
Postulates are suggestion or assumptions that something is true based on reasoning, for example, the definition of a point in Euclidian Geometry.
Therefore, mathematics is grounded in systems of postulates that are tacitly true. Those postulates are used to define and demonstrate theorems, which are the strong structure of every law in Mathematics.
The postulates are helpful as they are taken to be true without proof and are basic structure from which lemmas and theorems are derived .
What are postulates?A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.
According to the question
Postulates are helpful because they are basic structure from which lemmas and theorems are derived and they are also known as an axiom, which is taken to be true without proof.
Hence, postulates are helpful as they are taken to be true without proof and are basic structure from which lemmas and theorems are derived .
To know more about postulates here:
https://brainly.com/question/11084273
#SPJ2
What is the relationship between 5.34 x 10^5 and 5.34 x 10^-2?
5.34 x 10^5 is 100,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 is 1,000,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 is 10,000,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 is 100,000,000 times gteater/less than 5.34 x 10^-2
Answer: THAT MAKES NO SENCE
Step-by-step explanation:
How many subsets of the set m,a,t,h,c,o,u,r,s,e contain at least one vowel
Final answer:
The given set contains 10 elements. Subsets with at least one vowel can be found by considering different combinations of vowels in the set which is 3 + 3 + 0 = 6.
Explanation:
The given set m,a,t,h,c,o,u,r,s,e contains 10 elements.
In order to find the number of subsets that contain at least one vowel, we need to consider the possible combinations of vowels in the set.
If we consider only one vowel, there are 3 vowels in the set (a, o, and u). Therefore, there are 3 choose 1 = 3 subsets.If we consider two vowels, there are 3 choose 2 = 3 subsets.If we consider three vowels, there is 1 choose 3 = 0 subset (as there is only 1 vowel left).Therefore, the total number of subsets that contain at least one vowel is 3 + 3 + 0 = 6.
To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets.
Explanation:To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets. The given set contains 9 consonants and 5 vowels. So, the number of subsets with no vowels is equal to the number of subsets of the 9 consonants, which is 2^9 = 512.
The total number of subsets of the given set is 2^14 = 16384. Therefore, the number of subsets that contain at least one vowel is 16384 - 512 = 15872.
What is the relationship between 8.76×106 and 8.76×102 ? Select from the drop-down menus to correctly complete the statement. 8.76×106 is times than 8.76×102 .
Answer:
[tex]8.76\times 10^6[/tex] is 10,000 times [tex]8.76\times 10^2[/tex].
Step-by-step explanation:
Let [tex]8.76\times 10^6[/tex] be n times [tex]8.76\times 10^2[/tex].
We have been given two numbers [tex]8.76\times 10^6[/tex] and [tex]8.76\times 10^2[/tex].
We can represent this information in an equation as:
[tex]8.76\times 10^2\cdot n=8.76\times 10^6[/tex].
[tex]\frac{8.76\times 10^2\cdot n}{8.76\times 10^2}=\frac{8.76\times 10^6}{8.76\times 10^2}[/tex]
[tex]n=\frac{8.76\times 10^6}{8.76\times 10^2}[/tex]
Using exponent property of fractions [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]n=\frac{8.76\times 10^{6-2}}{8.76}[/tex]
[tex]n=1\times 10^{4}[/tex]
[tex]n=10,000[/tex]
Therefore, [tex]8.76\times 10^6[/tex] is 10,000 times [tex]8.76\times 10^2[/tex].
Simple math question!
Eliana's calculator displays a number as 5.378 E9.
What is this number in standard form?
Enter your answer in the box.
Answer:
5,378,000,000
Step-by-step explanation:
36 is 75% of what number
The percentage is the method of distributing the numbers in a range from 0 to 100. The number 36 is 75% of 48.
To find the number that 36 is 75% off, use the following steps:
Remember that per cent means "per hundred." So, 75% can be written as the fraction 75/100 or the decimal 0.75.
Let's call the unknown number "x". We want to find the value of "x" that satisfies the equation: 36 = 0.75 * x.
To solve for "x", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.75.
36 / 0.75 = (0.75 * x) / 0.75
Simplifying the right side, we get:
36 / 0.75 = x
Evaluating the left side of the equation, we have:
48 = x
Therefore, 36 is 75% of 48.
To know more about the percentage follow
https://brainly.com/question/11976789
#SPJ6
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items?
What are the dimensions of his bedroom
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items
Answer:
25.4 seconds
Salumé bought 4.59 pounds of lobster for $39.98. How much did she spend per pound of lobster? Round your answer to the nearest cent. A. $7.11 B. $35.39 C. $8.71 D. $9.99
Jeffery read a book with one-fifth the pages of the book Toby read. Which variable expression represents the number of pages in the book Jeffery read?
Answer:
1/5
Step-by-step explanation:
i took the test its right