B. 2.5/3=3/4;3
C. 2.5/3=5/3;6
D. 2.5/3=5/4;3
The numbers are 26, 20, and 80.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Threenumbers:
First = a
Second = b
Third = c
Now,
a + b + c = 126 ____(1)
c = 4b ____(2)
b = a - 6 _____(3)
From (1), (2), and (3) we get,
a + (a - 6) + 4b = 126
a + a - 6 + 4b = 126
2a + 4b = 126 + 6
2a + 4b = 132
2a + 4(a - 6) = 132
2a + 4a - 24 = 132
6a = 132 + 24
6a = 156
a = 26
Now,
a = 26
b = a - 6 = 20
c = 4b = 4 x 20 = 80
Thus,
The numbers are 26, 20, and 80.
Learn more about expressions here:
#SPJ2
Step-by-step explanation:
ASK

ALGEBRA II
Ingrid H.
asked • 04/02/20
The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?
The sum of three numbers is 126
. The third number is 3
times the first. The second number is 6
more than the first. What are the numbers?
Follow1
Add comment
More
1 Expert Answer
By:Best
Newest Oldest

Mackenzie K. answered • 04/02/20
TUTOR
New to Wyzant
Math Tutor For All Grade Levels
SEE TUTORS LIKE THIS
Lets define a=1st number, b=2nd number, and c=3rd number
We know that a+b+c=126
We also know that the second number is 6 more than the first, so we can represent this as b=a+6
We also know that the third number is 3 times the first which can be represented as c=3a
We can plug these new values into our original equation and get:
a+(a+6)+(3a)=126
2a+6+3a=126 COMBINE LIKE TERMS
5a+6=126
5a=120
a=24
Our first number is 24.
Our second number is 6 more than our first number, so the second number is 24+6=30
Our third number is 3 times the first number, so the third number is 3(24)=72
We can check by plugging these numbers in for a, b, and c in our original equation
a+b+c=126
24+30=72=126
126=126
5 .This is called the greatest common factor.
You can list all the factors(ways to divide) of each number and find the biggest one.
15'1,3,5,15
10'1,2,5,10
The greatest they share is 5
B.The scenario can be represented by the function h(x) = (x)(x + 5).
C.The vertex is on the line x = 2.5.
D.The greatest height that the water reaches is 1.5 units.
E.The scenario can be represented by the function h(x) = –1(x – 5).
The statements that are true are:
A. The scenario can be represented by the function h(x) = –0.25(x)(x – 5).
E. The scenario can be represented by the function h(x) = –1(x – 5).
Given that the curve produced by the water from the hose has zeros at 0 and 5 and passes through the point (4, 1), determine which statements are true.
A. The scenario can be represented by the function h(x) = –0.25(x)(x – 5).
To check if this statement is true, substitute the given point (4, 1) into the equation:
h(4) = –0.25(4)(4 – 5) = –0.25(4)(-1) = 0.25(4)(1) = 1
Since h(4) evaluates to 1, which matches the y-coordinate of the given point, this statement is true.
B. The scenario can be represented by the function h(x) = (x)(x + 5).
This statement does not match the given information since the function does not account for the zeros at 0 and 5. Therefore, this statement is false.
C. The vertex is on the line x = 2.5.
Since the vertex is not mentioned or indicated by the given information, we cannot determine its exact location. Therefore, this statement is undetermined.
D. The greatest height that the water reaches is 1.5 units.
Since the given point (4, 1) lies on the curve, and no other information suggests a greater height, we cannot conclude that the greatest height reached is 1.5 units. Therefore, this statement is false.
E. The scenario can be represented by the function h(x) = –1(x – 5).
To check if this statement is true, let's substitute the given point (4, 1) into the equation:
h(4) = –1(4 – 5) = –1(-1) = 1
Since h(4) evaluates to 1, which matches the y-coordinate of the given point, this statement is true.
In summary, the statements that are true are:
A. The scenario can be represented by the function h(x) = –0.25(x)(x – 5).
E. The scenario can be represented by the function h(x) = –1(x – 5).
Read on curve on brainly.com/question/29364263
#SPJ3
Answer:A and C
Step-by-step explanation:
I got it right