Answer:
100, 102, 104
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the first number in the set of the three consecutive even numbers.
We're given that the sum of three consecutive even numbers is 306.
Because <em>x</em> is the first number, the next would be <em>x</em>+2, and then <em>x</em>+4. These are our even numbers.
We can now set up an equation:
Combine like terms:
Therefore, the first number in the set of 3 numbers is 100.
The next two even numbers after 100 is 102 and 104.
Therefore, the three numbers are 100, 102 and 104.
I hope this helps!
Answer:
2/5 or 0.4
Step-by-step explanation:
rise over run is 20/50, simplifies to 2/5
Answer:
umm what
Step-by-step explanation:
To find the pre image you need to back track on the image. To get to the image you used (x-6,y+8). Now you need to use the exact opposite to get back to the pre image. For this you would change the signs to look like (x+6,y-8). Now we just apply this to (-4,1).
(-4+6,1-8)
(2,-7) should be the pre image point.
The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get
Dividing by 3 on both sides
Exapnding we get
Subtracting 80 from both sides
Factoring
We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
