Answer:
red: x
blue: 2x+3
Step-by-step explanation:
let the number of red chips= x
let the number of blue chips= 2x+3
Student P:
They messed up in step 1 because they made the 7.75 positive instead of negative, which causes the entire solution to be wrong
Student Q:
They were correct up until step 3. They didn't take all the negatives out of the equation (ex. -(3.5+7.75+29.67)).
Complete set:
From the picture, it looks like the original problem was
-2.5(1.4+3.1)+6.9(-4.3)
Step 1: multiply
1.4(-2.5)+3.1(-2.5)+6.9(-4.3)
Step 2: subtract (add?) them all together
-3.5-7.75-29.67
Step 3 should equal -40.92
Answer:
Number of children = 386
Number of adults = 287
Step-by-step explanation:
Let
x = number of children
y = number of adults
x + y = 673 (1)
1.75x + 2y = 1249.50 (2)
From (1)
x = 673 - y
Substitute x = 673 - y into (2)
1.75x + 2y = 1249.50
1.75(673 - y) + 2y = 1249.50
1177.75 - 1.75y + 2y = 1249.50
- 1.75y + 2y = 1249.50 - 1177.75
0.25y = 71.75
y = 71.75/0.25
y = 287
Substitute y = 287 into (1)
x + y = 673
x + 287 = 673
x = 673 - 287
x = 386
Number of children = 386
Number of adults = 287
Answer:
The values of
and
are
and
, respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
(1)
By definition of the perfect square trinomial:


And by direct comparison we have the following system:
(2)
(3)
By (3), we solve for
:


The values of
and
are
and
, respectively.