3/11. This can also be 6/22.
Answer:
Simplifying
4x + -3y = 20
Solving
4x + -3y = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
4x + -3y + 3y = 20 + 3y
Combine like terms: -3y + 3y = 0
4x + 0 = 20 + 3y
4x = 20 + 3y
Divide each side by '4'.
x = 5 + 0.75y
Simplifying
x = 5 + 0.75y
God bless you & have a beautiful rest of your Day or Night!
Answer: figures C and D.
Explanation:
The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.
1) Figure A. It is a slant cone.
Dimensions:
- slant height, l = 6 cm
- height, h: 5 cm
- base area, b: 20 cm²
The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.
Formula: V = (1/3)(base area)(height) = (1/3)b·h
Calculations:
- V = (1/3)×20cm²×5cm = 100/3 cm³
2. Figure B. It is a right cylinder
Dimensions:
- base area, b: 20 cm²
- height, h: 6 cm
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20 cm²· 6cm = 120 cm³
3. Figure C. It is a slant cylinder.
Dimensions:
- base area, b: 20 cm²
- slant height, l: 6 cm
- height, h: 5 cm
The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20cm² · 5cm = 100 cm³
4. Fiigure D. It is a rectangular pyramid.
Dimensions:
- length, l: 6cm
- base area, b: 20 cm²
- height, h: 5 cm
Formula: V = (base area) (height) = b·h
Calculations:
- V = 20 cm² · 5 cm = 100 cm³
→ Now, you have found the two figures with the same volume: figure C and figure D. ←
Answer:
<u>8 – 6</u> & <u>8 + (-6)</u>
Step-by-step explanation:
If you look at the 2 lines, one says -6 and the other says 8. So, now we know that the expression has to have '-6' and '8' in it. The only expressions with both numbers are the first two expressions.
8 – 6 and 8 + (-6)
Also, when you put these two expressions in the calculator, they both equal 2.
Answer:
12.5
Step-by-step explanation:
In order to solve, we need to add 9 to both sides of the equation:
<u>Our sum applied:</u>
b=12.5
