Answer:
119
Step-by-step explanation:
Divide the number of baskets (56) by the denominator:
56 ÷ 8 = 7
Multiply by 7 to get the amount of 2 point baskets and multiply by 1 to get the amount of 3 point baskets. (they both add up to 56 baskets)
7 × 7 = 49
7 × 1 = 7
multiply the 49, 2 point baskets by 2 and the 7, 3 point baskets by 3 and add them together to get the total points.
49 × 2 = 98
7 × 3 = 21
98 + 21 = 119
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
Answer:
6.4x
7. 3y
8. y−4.5
9. 7/2 x+2
10. 4y+2
11. 7x
12. 2.2w−0.5
13. (1 2/3) (b) + 6 2/3
14. 15/4x + 3/2
15. 0.8x+2.5
Step-by-step explanation:
I GOTCHU FAM
Salutations!
<span>The ratio of boys to girls in a school is 5:4. if there are 180 students, how many girls are there?
Let the number of girls and boys be 'x'.
</span>

<span>
Add 5 and 4
</span>

<span>
</span>

<span>
Now, multiply the ratios by 20.
Boys =
20 </span>× 5 = 100
Girls = 20 × 4 = 80.
There were 80 girls.
Hope I helped (:
Have a great day!
Answer:
The submarine is 10.4 km far from its base.
Step-by-step explanation:
Given that:
Distance traveled east = 7km
Distance traveled north = 12.5 km
This is will form a right triangle, where the distance from east to north is hypotenuse.
Here,
a = 7 , b = x and c = 12.5
Using Pythagorean theorem,

Taking square root on both sides

Hence,
The submarine is 10.4 km far from its base.