Question 1 A system of equations is shown below:
n = 3m + 6
n − 2m = 2
What is the solution, in the form (m, n), to the system of equations?
(−4, −6)
(−5, −9)
(2, 6)
(1, 8)
Question 2
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:
STEP1: 2(y + 6) = 4y
Step 2: 2y + 8 = 4y
Step 3: 2y = 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
2 should be distributed as 2y + 12; y = 6
2 should be distributed as 2y + 12; y = 3
The equation should be y + 6 = 4y after division by 2; y = 2
The equation should be y + 6 = 4y after division by 2; y = 1
Question 3
The equation 3.3x − 6.6 = 2.7x can be transformed to form which of the following expressions?
6.0x = 6.6
0.6x = 6.6
6.0x = −6.6
0.6x = −6.6
Answers
Answer:
Part 1: The solution is (-4,-6)
Part 2: 2 should be distributed as 2y + 12; y = 6
Part 3:
Step-by-step explanation:
Part 1: Given the system of equations
→ (1)
→ (2)
Solving above two equations
Subtract 2 from 1, we get
(1) ⇒
The solution is (-4,-6)
Option 1 is correct.
Part 2: The incorrect work of a student to solve an equation 2(y + 6) = 4y
we have to choose the correct step to solve value of y
Equation: 2(y + 6) = 4y
By distributive property
2y+12=4y
2y=12 ⇒ y=6
Hence, 2 should be distributed as 2y + 12; y = 6
∴ Option 1 is correct.
Part 3: Given the equation 3.3x − 6.6 = 2.7x
we have to solve
3.3x − 6.6 = 2.7x
Subtracting 2.7x both sides
Option 2 is correct.
The answer is (-4,-6).
Question 2:
The answer is: 2 should be distributed as 2y + 12; y = 6.
Question 3:
The answer is 0.6x=6.6.
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the three side lengths of a triangle are represented by x, (x+10), and (2x+5) units. the perimeter of the triangle is 105 units. which of the following is the value of x?
Which figure must be a trapezoid? A.a quadrilateral with no congruent anglesB.a quadrilateral with no congruent sidesC.a quadrilateral with no right anglesD.a quadrilateral with exactly one pair of parallel sides
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Mrs. Gannon is having her class make a winter decorations using pine cones. If each decoration needs 11 pine cones and Mrs. Gannon ha 18 students in her class. How many pine cones does Mrs. Gannon need?
Answers
A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as:
Area = side²
The sketch of the 3 x y square is given below.
The area of 3 x y square of 9 square units
What is a square?
A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as:
Area = side²
We have,
A square with an area of 3 x y.
We know that all sides of a square are equal.
3 x y square can be written as 3 x 3.
The side of the square is 3 units.
The area of 3 x y square:
Area = 3 x 3
Area = 9 square units
The sketch is given below.
A_________B
| |
| |
D|_________|C
Each side is 3 units.
Thus,
The sketch of the 3 x y square is given above.
The area of 3 x y square of 9 square units
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Answers
Answer:
7
Step-by-step explanation:
3 = 3 X 2 + 1
2
= 6 + 1
2
= 7/2
therefore, the numerator is 7 which is the figure at the upper part of the improper fraction
Answer:
7 = ?
Step-by-step explanation:
3 1/2 is a mixed fraction
?/2 shows itself as an improper fraction
To have 3 1/2 turn into an improper fraction, you multiply the denominator(2) by the whole number(3)
3 x 2 = 6
With the remaining numerator, which is 1, you add it to the total product of 3 and 2, giving you 7
Relationship T: Veron cooked 6 hamburgers in 10 min, and thenhe cooked 9 hamburgers in 15 min.
What statement is true about these relationships?
A.Neither relationship is a direct variation.
B.Both relationships are direct variation.
C.Only relationship S is a direct variation.
D.Only relationship T is a direct variation.
Answers
S) This is because 160 ÷ 2 = 80 and 4÷2 = 2
T) This is because 1.5x6=9 and 1.5x10= 15
Answers
Step-by-step explanation:
If the tickets given to employees = 40
Then tickets given to listeners = 2 x no of employees tickets
= 2 x40 = 80
Total tickets = 40+ 80 = 120
Answers
Let's say that the number of adult tickets sold is x. The number of child ticket sold is y.
We know that they sold 400 tickets, so: x + y = 400
We also know that they earned $1475
An adult ticket is $5 and a child ticket is $2, so: x * 5 + y * 2 = 1475
Because x + y = 400, we know that y = 400 - x. We use this in the main equation instead of the variable y:
x * 5 + (400-x) * 2 = 1475
5x + 800 - 2x = 1475
3x + 800 = 1475
3x = 675
x = 225
Because x + y = 400, we can calculate that y = 175
They sold 225 adult tickets and 175 child tickets.
Answers
61+48=109 but that's the cost for both questions but I think its right yw hope that helped :)
42+19=61
40+8=48
13.5 x 42 = 567
13.5 x 40 = 540
567-19 = 548
540+8 = 548
Therefore the price is $548