Answer:1384.74 square inches
Step-by-step explanation:
Diameter=42 inches
Radius=42/2
Radius=21 inches
π=3.14
area of circle=π x radius x radius
Area of circle=3.14 x 21 x 21
Area of circle=1384.74 square inches
Answer:
-2 > k > -7
Step-by-step explanation:
what you do to one section, you have to do to all
-5 < -5k - 15 < 20
add 15 to each part
10 < -5k < 35
divide by -5 (when you divide by a negative, it flips the inequality signs!)
-2 > k > -7
Answer:
- 35 grams of 11.43% solution
Step-by-step explanation:
The end solution has same volume as initial volumes of mixture.
The concentration of solution is calculated as below
- 10*0.15 + 25*0.1 = 4 g
- 4 / 35*100% = 11.43% (rounded)
Answer:
a. No
b. Yes
c. No
d. Yes
e. Yes
Step-by-step explanation:
3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.
a. 3x+2 is not the same as 3x+6 so it is false.
b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.
c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.
d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.
e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.
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Step-by-step explanation:
1)

2) the same value of the denominator of the fractions.
3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.
Megan's answer is correct.
4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).
5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.
6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.
7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.