Answer:
The operations you see with you eyes are multiplication and addition.
4 times X plus 2 = 10
The operations you don't see are Subtraction and Division.
4x+2=10
Subtract 2 from both sides.
4x+2−2=10−2
4x=8
Divide both sides by 4.
4x/4 = 8/4
x=2
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Answer:
Step-by-step explanation:
Stephen uses 
kilograms of tofu in each serving of his dish.
He has 
kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
Stephen can make .
Answer:
6. <u> (2x - 1) </u>
(3x + 2)
8. <u> y - 3 </u>
y² - 3y + 9
Step-by-step explanation:
6. <u> 2x² + 9x - 5</u>
3x² + 17x + 10
= <u>(2x - 1) (x + 5)</u>
3x² + 17x + 10
= <u>(2x - 1) (x + 5)</u>
(3x + 2) (x + 5)
= <u> (2x - 1) </u>
(3x + 2)
8. <u>y² - 9 </u>
y³ + 27
= <u> (y + 3) (y - 3)</u>
y³ + 27
= <u> (y + 3) (y - 3) </u>
(y+3) (y² - 3y + 9)
= <u> y - 3 </u>
y² - 3y + 9
