the answer is “s = 10w + 35” since he already has 35 but needs to find out how many weeks he washed the dishes :))
So for 1: You divide 1780 by 36 to get your answer. You will get a remainder but in this situation, we ignore it since you wouldn’t be able to wrap another gift completely
2: Divide 247 by 52. Again, you will get a remainder but in this situation we found up to the nearest whole because to be able to take all the kids, you would need another bus.
3: Divide 98 by 28. You will get a remainder, then you take that and divide it by 28, and simplify it, to get the fraction
Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere = 
radius is given as 4, so,
Volume of Hemisphere = 
Now, Volume of Cone = 
Where radius is 4 and height is 10, so,
Volume of Cone = 
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere = 
Surface Area of Cone = 
We dont need to use the first part,
since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone = 
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters
Answer:
<20,23>
Step-by-step explanation:
u= <4,5> and v= <0,-1>
2v = 2*<0,-1> = <0,-2>
5u = 5* <4,5> = <20,25>
2v+5u = <0,-2> + <20,25>
= <20,23>
Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------>
a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ---->
-1=2a + b
4)
a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1,
a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7