I need help with this question someone please help and explain. Find the sum of the first twenty-seven terms of an arithmetic series whose first term is -8 and the sum of the first seven-term is 28.
Answers
Answer:
The sum of the first twenty-seven terms is 1,188
Step-by-step explanation:
we know that
The formula of the sum in arithmetic sequence is equal to
where
n is the number of terms
a1 is the first term
d is the common difference (constant)
step 1
Find the common difference d
we have
n=7
a1=-8
S=28
substitute and solve for d
step 2
Find the sum of the first twenty-seven terms
we have
n=27
a1=-8
d=4
substitute
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A: The temperature on Monday was 25 degrees below zero and on Tuesday the temperature got up to 34 degrees. What was the increase in temperature between Monday and Tuesday?
B: The eighth-grade class has 34 students. The year before, when the students were in seventh grade, there were 25 students. How many students were added between seventh and eighth grade?
C: A person bikes 34 miles on Monday and 25 miles on Tuesday. How many miles total did the person bike?
D: Jack has 25 marbles. Mary gives him 34 marbles. How many marbles does Jack have?
Answers
Answer:
Option B matches the equation
Step-by-step explanation:
Equation: 34 = g + 25
A:Since we are given that The temperature on Monday was 25 degrees below zero So, in given equation there should be -25 in place of 25
So, It does not matches the equation
B: The year before, when the students were in seventh grade, there were 25 students.
Let g be the no. of students added between seventh and eighth grade
So, Total students = 25+g
We are given that The eighth-grade class has 34 students.
So, equation becomes : 34=g+25
It matches the equation.
C :A person bikes 34 miles on Monday
He bikes 25 miles on Tuesday.
So, Total miles =25+34
So, It does not matches the equation
D: Jack has 25 marbles.
Mary gives him 34 marbles.
Total marbles = 25+34
So, It does not matches the equation
Hence Option B matches the equation
Answer:
The answer is B!
Step-by-step explanation:
The equation and the equation from scenario B are both, when simplified, g = 9.
Answers
The solution is : the least common denominator of 3/10 and 4/5 is 20.
What is least common denominator?
The least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.
here, we have,
Let's list some multiples of each denominator
5: 5, 10, 15, 20, 25, 30
and,
10: 10, 20, 30, 40, 50, 60
and,
4: 4, 8, 12, 16, 20, 24, 28
so, we get,
The common denominator (LCD) is 20
So lets input
6/20, 20/20
To learn more on LCD click:
#SPJ2
Answers
Answer:
yes
Step-by-step explanation:
it is possible to have a triangle with 8.8 cm, 8.0 cm and 8.8 cm. Step-by-step explanation: Condition on sides of triangle: The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Answer:
yes
Step-by-step explanation:
Meg wants to take tennis lessons. In the chart, four instructors are listed with what they charge. Which instructor gives the best deal? Mark $100 for 10 hours Rick $80 for 9 hours Steve $75 for 8 hours Andy $60 for 5 hours
Answers
Mark wants $100 for 10 hrs., or $10/hr.
Rick wants $80 for 9 hrs., or
Steve wants $75 for 8 hrs., or $
Finally, Andy wants $60 for 5 hrs., or $12/hr.
We can see that Rick offers the best deal, at $8.89/hr.
Mark charges $10.hour. Rick charges $8.89.hour. Steve charges $9.38/hour. Andy charges $12/hour. The best deal is to take tennis lessons from Rick.
So Rick would be the choice
Answers
Answer: the answer would be 8$
Step-by-step explanation: