1. (77+x)/2=84
2. Harold needs at least a 91
Work:
first, you multiply both sides by 2; 77+x=168
then you subtract 77 from both sides; x=91
then you plug it back in to check; (77+91)/2=84 ; 168/2=84 ; 84=84
Answer:
Step-by-step explanation:
![9\frac{1}{8} = 2\frac{1}{4} +x](https://tex.z-dn.net/?f=9%5Cfrac%7B1%7D%7B8%7D%20%3D%202%5Cfrac%7B1%7D%7B4%7D%20%2Bx)
![\frac{9*8+1}{8} =\frac{4*2+1}{4} +x](https://tex.z-dn.net/?f=%5Cfrac%7B9%2A8%2B1%7D%7B8%7D%20%3D%5Cfrac%7B4%2A2%2B1%7D%7B4%7D%20%2Bx)
![\frac{73}{8} =\frac{9}{4} +x](https://tex.z-dn.net/?f=%5Cfrac%7B73%7D%7B8%7D%20%3D%5Cfrac%7B9%7D%7B4%7D%20%2Bx)
![\frac{73}{8} =\frac{9+4*x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B73%7D%7B8%7D%20%3D%5Cfrac%7B9%2B4%2Ax%7D%7B4%7D)
do cross multiplication
![8(4x+9)=4*73\\32x+72=292\\32x=292-72\\x=220/32\\x=6.875](https://tex.z-dn.net/?f=8%284x%2B9%29%3D4%2A73%5C%5C32x%2B72%3D292%5C%5C32x%3D292-72%5C%5Cx%3D220%2F32%5C%5Cx%3D6.875)
1. it says no more than 5 so that includes 5, so there are 5/8 probability
2.since this spinner stops on an even number (8) that means half are even and half are odd so 4/8, but you can reduce that to 1/2
3.since it says less than 3 there are only two so that ends up being 2/8 or 1/4 probability
Split it up into 4 separate shapes as shown in the attached picture:
shape 1 and 3 are identical triangles
area = 1/2 x B x H
area = 1/2 x 2 x 2 = 2 square cm each ( there are 2 so 2+2= 4 square cm for shape 1 & 3)
shape 2 is a rectangle area = L x w = 4*2 = 8 square cm
shape 4 is a triangle
area = 1/2 x b x h = 1/2 x 8 x 5.75 = 23 square cm
total area add all the shapes together: 4 + 8 + 23 =
35 square cm