Answer:
x = 41 3/4
Step-by-step explanation:
(2 1/2)x -(3/4)(2x +5) = 38
(2 1/2)x -(1 1/2)x -15/4 = 38 . . . . use the distributive property
x = 38 +3 3/4 . . . . . . add 15/4
x = 41 3/4
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Another way to solve this is to "clear fractions" by multiplying the whole equation by 4:
10x -3(2x +5) = 152
4x -15 = 152 . . . . eliminate parentheses
4x = 167 . . . . . . . add 15
x = 41 3/4 . . . . . . divide by 4
Answer:
x(x+3)(x-3)
Step-by-step explanation:
Factor out common term x
=x(x^2-9)
Factor x^2-9;
(x+3)(x-3)
=x(x+3)(x-3)
Answer:
The hat weight = 81.166 g
Step-by-step explanation:
∵The figure formed by a rectangle and two identical semi-circle
∵ The length of the rectangle = 52 cm = 0.52 m
∴ The length of the two diameter = 52 cm = 0.52 m
∴ The radius of the semi-circle = 52 ÷ 4 = 13 cm = 0.13 m
∴ The width of the rectangle = 36 - 13 = 23 cm = 0.23 m
∴ The area of the rectangle = 0.52 × 0.23 = 0.1196 m²
∴ The area of the semi-circles = π (0.13)² = 0.0531 m²
∴ The area of the hat = 0.1196 + 0.0531 = 0.17269292 m²
∵ 1 m² = 470 g
∴ The weight of the hat = 0.17269292 × 470 = 81.16567 ≅ 81.166 g
Answer:
In two years erin grew 7 inches
Step-by-step explanation:
42 - 35 = 7
S= savings before she bought the dress s - $55 would be her new balance after she bought the dress.
We could also talk about her savings now (after her purchase). If we let n=now
n + $55 would be her balance before she bought the dress.
