Answer:
2/3
Step-by-step explanation:
Slope is rise over run which is 2/3
The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;
Prime factorization
11340 | 2
5670 | 2
2835 | 5
567 | 3
189 | 3
63 | 3
21 | 3
7 | 7
1
11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7
We observ that the possible length of the side is 18( we have 35 small squares ).
Answer:
Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.
We know that sum of cubes is in form .
We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.
Let us check 3rd and 4th options one by one.
We can rewrite our expression by writing terms as cubes:
Therefore, expression is a sum of cubes.
In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent as a cube. Therefore, 4th expression is not correct.
Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
Answer:
Step-by-step explanation:
500+7500=8000
150x50=7500
8000 books were sold over the course of 50 days
