Answer:
7 and 13
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x = y + 6 → (1)
(x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )
x + y = 4y - 8 ( subtract 4y from both sides )
x - 3y = - 8 → (2)
Substitute x = y + 6 into (2)
y + 6 - 3y = - 8
- 2y + 6 = - 8 ( subtract 6 from both sides )
- 2y = - 14 ( divide both sides by - 2 )
y = 7
Substitute y = 7 into (1)
x = 7 + 6 = 13
The 2 numbers are 7 and 13
Answer:
The answer to your question is the letter A. 20 ft²
Step-by-step explanation:
Data
length of a side = 10 ft
length of the diameter = 10 ft
length of the radius = 5 ft
Process
1.- Calculate the area of the square
Area of the square = side x side
= 10 x 10
= 100 ft²
2.- Calculate the area of the circle
Area = πr²
Area of the circle = (3.14)(5)²
Area of the circle = 78.5 ft²
3.- Calculate the remaining area
Remaining area = 100 - 78.5
Remaining area = 21.5 ft² ≈ 20 ft²
Hello there! The answer to your question is a = 4.
To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.
Our first step is to add 4 to both sides so the 4 cancels out on the left side.
-4+4 + 4a = 12+4
4a = 16
Next, we divide both sides by 4 to finish isolating a.
4/4a = 16/4
a = 4
Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.
-4 + 4(4) = 12
-4 + 16 = 12
12 = 12
Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)
Answer:
The total cost of the ski hat and the ski boots is $112.35.
Step-by-step explanation:
First, we need to add the prices of the ski hat and the ski boots.
85.50 + 19.50 = $105
Now, we need to find 7% of $105, and then add it to the total.
105 x 0.07 = $7.35
105 + 7.35 = $112.35
Therefore, the total cost of the ski hat and the ski boots is $112.35.
Let me know if this helps!
Answer:
The graph i the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line 
The slope of the dotted line is positive
The x- intercept of the dotted line is the point (2.5,0)
The y- intercept of the dotted line is the point (0,-5)
-----> inequality B
The solution of the inequality B is the shaded area below the dotted line 
The slope of the dotted line is negative
The x- intercept of the dotted line is the point (0,0)
The y- intercept of the dotted line is the point (0,0)
The solution of the system of inequalities is the shaded area between the two dotted lines
see the attached figure
