Answer:
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the total number of red and blue beads
Angie has some red and blue beads. 40% of her beads were red. This means that the total number of red beads is
40/100 × x = 0.4x
The number of blue beads would be
x - 0.4x = 0.6x
When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. This means that
0.6x - 50 = 0.6x - 0.6x/3
0.6x - 50 = 0.6x - 0.2x = 0.4x
0.6x - 0.4x = 50
0.2x = 50
x = 50/0.2 = 250
The number of blue beads that Angie had initially is
0.6 × 250 = 150
The number of blue beads that Angie has left is
150 - 50 = 100 beads
The number of beads that Angie has in the end is
250 - 50 = 200 beads
Answer:
1. (5,-8)
2. (7, -11)
3. 7 lines
4. (2,-8)
5. x = 15
Step-by-step explanation:
1. for translation over y=x you need to switch what is negative and what is positive
2. You add whatever number is said to be added to X and whatever number is said to be added to Y.
3. A regular heptagon has 7 equal sides so it has 7 lines of symmetry.
4. For over the x-axis you make the y negative (or if it is already negative you make it positive) you do the opposite for over the y-axis
5. When you have a mid-segment you take one side, 9 and 6, and you divide 9 by 6. You get 1.5, you then take 1.5 and multiply it by 10, that leaves you with 15
I hope I helped!
Answer:
Step-by-step explanation:
reverse x in a square
Answer: Below
Step-by-step explanation:
Volume is based off of the formula (base × height/depth), with base being (width × length).
We know the three dimensions of the taller box, so:
7.75 × 2 × 12 = 186
The smaller box is 20% shorter. 12 × 0.8 gives us the 0% height, which is 9.6.
7.75 × 2 × 9.6 = 148.8
Since the problem is asking for the difference of the two volumes we do:
186 - 146.8 = 39.2
Our answer is 39.2
