To solve this problem, the two consecutive odd integers are defined as x and x+2. A mathematical equation is created according to the problem conditions and solved. The consecutive odd integers are found to be 81 and 83.
Explanation:Let's define the two consecutive odd integers as x (the smaller) and x+2 (the larger). Given the condition from the question that the sum of the smaller integer and three times the larger integer is 330, we can form the equation x + 3*(x+2) = 330.
We'll simplify that equation, which gives us: x + 3x + 6 = 330, and combining like terms, we get 4x + 6 = 330. We can solve for x by subtracting 6 from both sides and then dividing both sides by 4, which results in x = 81. Given that x represents the smaller odd integer, the larger integer would be x + 2 or 83.
So, the two consecutive odd integers fulfilling the conditions given are 81 and 83.
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The two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330 are 81 and 83.
Denote the smaller odd integer as x and the larger consecutive odd integer as x + 2.
According to the problem, the sum of the smaller integer and 3 times the larger integer is 330. So, we have the equation:
x + 3(x + 2) = 330
Now, solve for x :
1. Distribute the 3 on the left side:
x + 3x + 6 = 330
2. Combine like terms:
4x + 6 = 330
3. Subtract 6 from both sides to isolate terms with x:
4x = 324
4. Divide both sides by 4 to solve for x:
[tex]\[ x = \frac{324}{4} \]\[ x = 81 \][/tex]
So, the smaller odd integer x is 81. Now find the larger consecutive odd integer:
x + 2 = 81 + 2 = 83
Therefore, the two consecutive odd integers are 81 and 83.
To verify:
- The sum of the smaller integer and 3 times the larger integer:
[tex]\[ 81 + 3 \cdot 83 = 81 + 249 = 330 \][/tex]
The verification confirms that the solution is correct.
So, the two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330 are 81 and 83.
each pizza = 6 people. what does pizza stamd for?
706421 rounded to the nearest thousand
The product of 5 and a number x is 14 .
What is the value of x?
x=194
x=120
x=54
x=434
none of them.
Product means multiplication, so the product of 5 and a number means 5 times a number which is 5x
so if 5x = 14
x = 14/5 = 2.8
x = 2.8 which isn't a choice.
Answer:
The answer is B 1/20
Step-by-step explanation:
The word "Product" means multiplication, and we need to find the value of "x" here's an equation:
5 times x = 1/4
5 times 1/20 = 1/4
Hope this helped! :3
Wich is greater 0.48 or 6 15
The sign of the product of two integers with the same sign is positive. What is the sign of three integers with the same sign? Explain your thinking.
Answer:
Negative.
Step-by-step explanation:
The answer is negative, because if the number of integers you are multiplying is odd, then the sign is negative. But if the number of integers you are multiplying is even, then the sign is negative. In this case, three is odd, so the sign is negative.
how many times can 16 go into 50
HELP ME ASAP!!!
Ralph ate 1/2 of a pie before dinner. After dinner he ate 1/3 of what was left. What fraction of the pie did he eat after dinner?
Answer:
1/6
Step-by-step explanation:
1/2 * 1/3 = 1/6.
Aisha thinks 1,275 rounded to the nearest hundread is 1,200 because 2 is less than 5 what might aisha misunderstand about rounding
Which equation can be used to find one or more factors of 26
The factors of 26 are one, two, 13 and 26. One and the number itself, in this case 26, are always factors. Since 26 is an even number, which means that it ends in zero, two, four, six or eight, it's evenly divisible by two. Two times 13 equals 26.
No numbers between two and 13 divide evenly into 26, so there are no more factors other than the four listed. Because two and 13 are both prime numbers, which are numbers that are only divisible by one and themselves, the prime factorization of 26 is 2 x 13. The prime factorization of a number refers to the prime numbers that multiply together to make that given numberIs 0.09 greater than 0.7
26-38+(-3) what is the answer.
what’s the value of 1 2/3 divided by 1 7/18 In mixed number fraction form someone please help :)
Josh is 4 years older than Delaney. In 5 years the sum of their ages will be 60. How old is Josh now?
Final answer:
The problem is a middle school mathematics question about algebra and age. By setting up an equation and solving it, we found that Josh is currently 27 years old.
Explanation:
The subject of this question is Mathematics, and it is likely a Middle School level problem. To solve this, we set up an equation based on the information provided: Let's denote Delaney's current age as D. According to the question, Josh is 4 years older than Delaney, so Josh's current age is D + 4 years. In 5 years, Delaney will be D + 5 years old, and Josh will be (D + 4) + 5 which simplifies to D + 9 years old. We know that the sum of their ages in 5 years will be 60. Therefore, the equation is:
D + 5 + D + 9 = 60
Combining like terms, we get:
2D + 14 = 60
Subtracting 14 from both sides, we get:
2D = 46
Divide both sides by 2 to find Delaney's current age:
D = 23
Now, we can determine Josh's current age by adding 4:
Josh's age = D + 4 = 23 + 4 = 27
Therefore, Josh is currently 27 years old.
Jess recently started a business producing cosmetic products made from natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. She calculated that it takes a person 2222 minutes to prepare one bag. How many hours will it take to prepare 1200120012001200 bags of samples if Jess and 7777 of her friends work simultaneously?
Answer:
5
Step-by-step explanation:
I put 5.7143
but they told me it was 5
ur welcome
what is the simplified form of 3abc divided by abc when abc does not equal zero
One winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M.the temperature had doubled from what it was at 5 A.M. By noon, it had risen another 12 degrees to 30 degrees. What was the temperature at midnight?
The temperature at midnight was 25 degrees.
We have at one winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M. the temperature had doubled from what it was at 5 A.M. By noon, it had risen another 12 degrees to 30 degrees.
We have to determine the temperature at midnight?
What is Temperature ?Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.
According to the question -
Assume the temperature at mid - night be x and at 5 AM be y.
Then -
x - y = 16
At 9 A.M. , assume the temperature to be z. Then -
z = 2y
At Noon -
z + 12 = 30
z = 30 - 12
z = 18 degree
At 9 A.M., we have -
z = 2y
18 = 2y
y = 9 degrees
At mid - night, we have -
x - y = 16
x - 9 = 16
x = 25 degrees
Hence, the temperature at midnight was 25 degrees.
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Write a number greater than 714,587.
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
Answer:
The function is [tex]C(x)=7x[/tex]
Step-by-step explanation:
Given : Charles will babysit for up to 4 hours and charges $7 per hour.
To find : Write a function in function notation for this situation ?
Solution :
Let the work done by Charles in 'x' hour.
The charges is $7 per hour.
To create a function of x,
The cost function of 'x' hour is [tex]C(x)=7x[/tex]
Charles will babysit for up to 4 hours.
So, The cost for 4 hour is [tex]C(x)=7\times 4[/tex]
[tex]C(x)=\$28[/tex]
To the nearest hundred thousand, there were 700,000 visitors to an amusement park las year which could be the exact number of visitors?
the sophomore class is selling pies as a fundraiser. it cost the class $4 for each pie and they plan to sell the pies for $12 each. Write and solve an equation to determine how many pies does the class have to sell in order to make at least $200
The perimeter of a patio is 64. The width of the patio is 12 feet and the length of the patio is (×+6) feet. What is the length of the patio?
What percent of 86 is 50 to the nearest whole percent
Answer:
58%
Step-by-step explanation:
Let us suppose x percent of 86 is 50.
Therefore, we have the below equation
x% of 86 = 50
Eliminating percentage, we get
0.0x × 86 = 50
Solve for x
[tex]0.0x\times86=50\\\\0.0x=\frac{50}{86}\\\\x=\frac{50}{86}\times100\\\\x=58.1[/tex]
Hence, in nearest whole percent, we have
x = 58%
Therefore, 58% of 86 is 50
Can rational numbers be expressed as a fraction of two integers
how are rates and ratios related?
Micheal works 15.5 hours each week of a music store. He earns $9.48 per hour. How much does Micheal earn each week?
What is the GCF of 12 and 16...
gcd(12, 16) = 4 I hope I was help full
If 2 more students took the math test and both made a score of 80, what would the picture graph look like?
Unite price batteries size 4pk and total price 2.97 how come unite price
Answer:
divide the unit by the the total amount
The answer is 0. 74
6(3a+1)-30=3(2a-4) okay i suck at algebra . please help me lol
Mrs. Synder must choose two of her homeroom students to be class representatives. The class consists of 13 girls and 9 boys. Approximately what percent chance is there that the first student chosen is a boy and the second student chosen is a girl? (Round to the nearest percent)
A. 10%
B. 25%
C. 22%
D. 15%
Answer: B. 25%
Step-by-step explanation:
Given : Number of boys in the class = 13
Number of girls in the class = 9
Total students = 13+9=22
Now, the number of ways to choose first boy then a girl =[tex]13\times9=117[/tex] (1)
Number of ways to choose nay two students :-
[tex]{22}P_{2}=\dfrac{22!}{(22-2)!}\\\\=\dfrac{22\times21\times20!}{20!}=462[/tex] (2)
Now, the probability that the first student chosen is a boy and the second student chosen is a girl :-
[tex]\dfrac{117}{462}=0.253246753247\approx0.25[/tex] [Divide (1) by (2)]
In percent , [tex]0.25\times100=25\%[/tex]
Hence, approximately 25% chance that the first student chosen is a boy and the second student chosen is a girl.