Answer:
120 = 2³ × 3 × 5
210 = 2 × 3 × 5 × 7
LCM(120 ; 210) = 2³ × 3 × 5 × 7 = 840
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
Answer:
22.3838476568 in²
Step-by-step explanation:
First you would find the area of sector (yellow). The formula is 75/360 x π x 3².
this is equal to 5.89048622548. Now the total circle area is 3²xπ = 28.2743338823. 28.2743338823 - 5.89048622548 = 22.3838476568 in²
⭐ Answered by Foxzy0⭐
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Answer:
1) -2.13
2) 2.57
3) 33
Step-by-step explanation:
1)
3(8 + 5h) = -28 Distribute the 3
24 + 15h = -28 Subtract 24 from both sides of the equation
15h = -32 Divide both sides by 15 and round
h = - 2.13
2)
19 = 7(3n - 5) Distribute the 7
19 = 21n - 35 Add 35 to both sides of the equation
54 = 21n Divide both sides of the equation by 21
2.57 = n
3)
6s - 7s = -33 Combine the s's
-s = -33 Multiply both sides by -1
s = 33
The answer is a because there is not an 8 on the chart
