Answer:
D. 1,211
Step-by-step explanation:
857 + 354 = 1,211 runners
6.70 for paint brushes. for 2 is 6.70×2=$13.40
35-13.40=$21.60 left after 2 paint brushes
4.80×4=$19.20 for 4 tubes of paint
21.60-19.20=$2.40 left after 4 tubes of paint and 2 paint brushes
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The ratio of any corresponding coordinates will give the scale factor.
Using the x-coordinates of C' and C, we have ...
scale factor = C'/C = 4/6 = 2/3
The dilation scale factor is 2/3.