Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
The formula of interest is
A = (1/2)r²·θ
You have A = 70 m², θ = 170° = 17π/18 rad. Then the radius is found from
70 m² = (1/2)r²(17π/18)
(36·70 m²)/(17π) = r²
r ≈ √47.18476 m
r ≈ 6.9 m
Terrance, Mike, Nathan. Terrance must be greater than Mike, and Mike covers the same amount of distance in less time than Nathan.
Answer: Third picture:
* 14 eggs
* 700 g of sugar
* 525 mL of oil
* 1400 g of banana
* 2380 g of fluor
* 105 mg of baking soda
Solution:
Using rule of three
4 eggs for 10 people
x eggs for 35 people
x=4*(35/10)→x=4*(3.5)→x=14 eggs
Similarly with the others ingredients:
Sugar=(200 g)*3.5→Sugar=700 g
Oil=(150 mL)*3.5→Oil 525 mL
Banana=(400 g)*3.5→Banana=1400 g
Flour=(680 g)*3.5→Flour=2380 g
Baking soda=(30 mg)*3.5→Baking soda=105 mg