Answer:
£152.40
Step-by-step explanation:
If he made 80 cakes at a ratio of 3:2:5, then he made:
24 chocolate cakes
16 lemon cake
40 fruit cakes
He sold all of the chocolate: 24x2=48
He sold 3/4 of the lemon: 3/4 of 16=12 12x1.70=20.40
He sold 7/8 of the fruit cakes: 7/8 of 40=35 35x2.4=84
48+20.40+84=152.40
Answer:
3100ft
Step-by-step explanation:
There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.
The area of the trapezoid is 57.5 square inches.
If you draw out the description, you will see that your trapezoid can be divided into a rectangle that is 9 x 5 and an isosceles right triangle with a base of 5 and height of 5.
Just find the areas of both and add them together.
Rectangle:
5 x 9 = 45
Triangle:
0.5 x 5 x 5 = 12.5
45 + 12.5 = 57.5
Answer:
{x,y} = {115/17,-23/17}
Step-by-step explanation:
I believe its true.
