Find 4 consecutive odd integers whose sum is 232
Answers
4 consecutive odd integers whose sum is 232 are : 55, 57, 59, 61
How to find the sum of consecutive integers?
Let the first integer be x and x is an odd number.
Let Four consecutive odd integers are;
x, x + 2, x + 4, x + 6
(x) + (x + 2) + (x + 4) + (x + 6) = 232
4x + 12 = 232
4x = 232 - 12
4x = 220
x = 220/4
x = 55
x + 2 = 55 + 2 = 57
x + 4 = 55 + 4 = 59
x + 6 = 55 + 6 = 61
The numbers are : 55, 57, 59, 61
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x, x + 2, x + 4, x + 6
(x) + (x + 2) + (x + 4) + (x + 6) = 232
4x + 12 = 232
4x = 232 - 12
4x = 220
x = 220/4
x = 55
x + 2 = 55 + 2 = 57
x + 4 = 55 + 4 = 59
x + 6 = 55 + 6 = 61
so ur numbers are : 55, 57, 59, 61
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teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution
The interest that Julia earns on her investment is given by the equation I = 48t where t is the time in years that her money is invested. She makes a table to determine how much money she would earn for different values of t. If one of the values for t she selects is 5, what would be her corresponding entry for I?A. 53 B. 240 C. 485 D. 9.6
Which of these answer choices show a pair of equivalent expressions?
Answers
There are 132 ways of selecting them.
What is permutation and combination ?
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.
According to the question,
So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.
Multiply both numbers of possibilities
= 12× 11
=132
Hence ,There are 132 ways of selecting them.
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Multiply both numbers of possibilities -> 12*11=132
There are 132 ways of selecting them.
Answers
The amount earned by selling it is (88-10)*55=4290rs.
The gain is (4290-4000)/4000=0.072=7.25%
Answers
Rational root theorem is used to determine the possible roots of a function.
The potential roots are: -3 and 3/2
The function is given as:
For a function,
The potential roots are:
So, we have:
---- factors of 3
---- factors of 6
The potential roots are:
From the options, the potential roots are:
Read more about rational roots theorem at:
Answer:
-3 and 3/2
Step-by-step explanation:
6x^3 - 2x^2 + x + 3
possible roots are p/q where p = factors of 3 and q are factors of 6
So from the 4 choices possible roots are -3 and 3/2
Answers
The x-intercepts:
0 = x + 4
0 = x - 2
x = -4
x = 2
The vertex:
y = (x + 4)(x - 2)
y = x^2 + 2x - 8
x = -b/2a
If ax^2 + bx + c, then:
a = 1
b = 2
c - 8
x -2/2(1)
x = -1
y = (-1)^2 + 2(-1) - 8
y = -9
The vertex is (-1, -9)
The x-intercepts are -4 and 2
Answer: vertex: (1,-9); intercepts: x=4,-2
Step-by-step explanation:
Just got it wrong on ap3x so I could give y’all the right answer
Answers
Which equation has the same solution as x²- 6x - 12 = 0
x^2 - 6x = 12
x^2 -6x + 9 = 12+9
x^2 -6x + 9 =21
(x-3)^2 = 21
So the answer will be (x-3)^2=21
Answers
3n-5=8(6+5n)
3n-5= 48 + 40n Distribute 8 into parenthesis
3n-3n-5=48+40n-3n Put variable on one side.
-5-48=48-48+37n Isolate the variable
-43/37=37n/37 Isolate variable more
-1.162=n Simplify
The answer is repeating; that is a shortened version.
t's gonna be a long problem: Remember PEMDAS
3n-5=8(6+5n)
3n-5= 48 + 40n Distribute 8 into parenthesis
3n-3n-5=48+40n-3n Put variable on one side.
-5-48=48-48+37n Isolate the variable
-43/37=37n/37 Isolate variable more
-1.162=n Simplify
The answer is repeating; that is a shortened version.