8x + 4y = 156
Answer:
[12, 15]
Step-by-step explanation:
{6x + 5y = 147
{8x + 4y = 156
-¾[8x + 4y = 156]
{6x + 5y = 147
{-6x-3y=-117← New Equation
________________
2y = 30
______
22
y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x
So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms.It does not matter which variable you choose to eliminate, as long as you know what you are doing.
I am joyous to assist you anytime.
Answer:
Step-by-step explanation:
When you say 8 every two minutes then we would get every minute how many cookies are eating by dividing 2 and 8 by 2 to get 4 cookies a minute
Answer:
4 cookies per minute.
Step-by-step explanation:
The unit rate measures how much of something occurs per unit of time, distance, or another quantity. To find the unit rate of 8 cookies eaten in 2 minutes, you divide the total number of cookies by the total time.
In this case, the unit rate is calculated by dividing the number of cookies (8) by the time taken (2 minutes):
8 cookies ÷ 2 minutes = 4 cookies per minute
Therefore, the unit rate of 8 cookies eaten in 2 minutes is 4 cookies per minute. This means that the person is eating cookies at a rate of 4 cookies per minute.
Hope this Helps You (: Please Brainliest
A gardener is building a flower garden with a border of mulch around it. A model of the design is shown.
A large rectangle with dimensions of 10.5 feet by 16 feet. A smaller rectangle with dimensions of 5.5 feet by 8 feet inside of the larger one.
Part A: Find the area of the mulch border that surrounds the 5.5 ft by 8 ft flower garden. Show all work.
Part B: If the mulch cost $3.64 per sq ft, how much will the mulch for this project cost? Show all work.
Answer:
Part A:
To find the area of the mulch border, we need to subtract the area of the smaller rectangle (flower garden) from the area of the larger rectangle.
The area of the larger rectangle is given by:
Area = length * width = 10.5 ft * 16 ft = 168 sq ft
The area of the smaller rectangle (flower garden) is given by:
Area = length * width = 5.5 ft * 8 ft = 44 sq ft
Therefore, the area of the mulch border is:
Area of mulch border = Area of larger rectangle - Area of smaller rectangle
Area of mulch border = 168 sq ft - 44 sq ft = 124 sq ft
Part B:
To find the cost of the mulch for this project, we need to multiply the area of the mulch border by the cost per square foot.
Cost of mulch = Area of mulch border * Cost per sq ft
Cost of mulch = 124 sq ft * $3.64/sq ft
Multiplying the values gives:
Cost of mulch = $451.36
Therefore, the mulch for this project will cost $451.36.
6 and 7
7 and 8
8 and 9
The least possible pairof integers are 7 and 8.
And the inequality is x + y ≥ 14. The correct option is C.
In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
The sum of two consecutive integers is at least 14.
Let x and y be the two consecutive integers.
So, x + y ≥ 14.
1). When x = 5 and y = 6,
Then,
5 + 6 ≥ 14.
11 ≥ 14.
This is contradiction.
2). When x = 6 and y = 7,
Then,
7 + 6 ≥ 14.
13 ≥ 14.
This is contradiction.
3). When x = 7 and y = 8,
Then,
7 + 8 ≥ 14.
15 ≥ 14.
15 > 14
This is the required integers.
4). When x = 8 and y = 9,
Then,
8 + 9 ≥ 14.
17 ≥ 14.
17 > 14
The above statement holds the required inequality.
Here, we want the least possible pair of integers.
Therefore, 7 and 8 are the required pairs.
To learn more about the inequality;
#SPJ3
Answer: 7 and 8
Step-by-step explanation: As the sum is at least 14, the integers are 7 and 8 by the fact that the numbers are consecutive.
2x+1+3(x+5)