Make each into improper fraction
2 x 8 + 5. = 21 / 8
3(10) + 2 = 32/3
21/8(32/3) = ((21x32)/(8x3) reduce by 3/3
(7x32)/(8) reduce by 8/8
7x4 = 28
Answer:
D. 1.5
Step-by-step explanation:
One basic property you need to keep in mind while solving theses type of questions is as follows :
<u>The length of tangents from an external point on a circle are equal</u>. For simplicity a figure illustrating this property is attached.
- Length of RS = 6 ; Length of AS = RS - AR = 6-x
Consider S as external point and tangents as SA and SB, so SB=SA=6-x
- Length of ST = 9 ; Length of TB = ST - SB = 9 - (6-x) = 3+x
Consider T as external point and tangents as TB and TC, so TC=TB=3+x
- Length of TU = 7 ; Length of UC = TU - TC = 7 - (3+x) = 4-x
Consider U as external point and tangents as UC and UD, so UD=UC=4-x
- Length of UV = 15 ; Length of VD = UV - UD = 15 - (4-x) = 11+x
Consider V as external point and tangents as VD and VE, so VE=VD=11+x
- Length of VR = 14 ; Length of RE = VR - VE = 14 - (11+x) = 3-x
Now, Consider R as external point and tangents as RA and RE, so
RA = RE
x = 3 - x
2x = 3
x =
x = 1.5
Answer:
c = -10
Step-by-step explanation:
16c -24=4c -144
Subtract 4c from both sides
16c - 4c - 24 = 4c - 4c - 144
12c - 24 = -144
Add 24 to both sides
12c -24 + 24 = -144 + 24
12c = -120
Note: -144 + 24 = -120
12c = -120
Divide both sides by 12
12c/12 = -120/12
c = -10
Note: 12/12 = 1 and -120/12 = -10
Checking :
16c -24=4c -144
Put c = -10
16(-10) - 24 = 4(-10) - 144
-160 - 24 = -40 - 144
-184 = -184
Therefore
c = -10
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75 capsules = $60
1 capsule = 60 ÷ 75 = $0.80
40 capsules = $0.80 x 40 = $32
Answer: $32
Answer:
(30,0)
Step-by-step explanation:
y=0
-2/5 *x +12=0
2x/5=12
2x=12*5
2x=60
x=60/2
x=30