Answer:
52
52
is the correct answer the probability that card drawn is a faace card
Answer:
The number of 57-cent stamps that Julie bought is 12
Step-by-step explanation:
Given equation
0.57 s + 0.3 ( s − 6 ) = 8.64
Open bracket
0.57s + 0.3s - 1.8 = 8.64
Collect like terms
0.87s = 8.64 + 1.8
0.87s = 10.44
Divide both sides by 0.87
s = 12
The number of 57-cent stamps that Julie bought is 12
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
<em>40</em>
- Step-by-step explanation:
<em>2 + 10 = 24</em>
<em>2(2 + 10) = 2×12 = 24</em>
<em>3 + 6 = 27</em>
<em>3(3 + 6) = 3×9 = 27</em>
<em>7 + 2 = 63</em>
<em>7(7 + 2) = 7×9 = 63</em>
<em>5 + 3 = 40</em>
<em>5(5 + 3) = 5×8 = 40</em>
Answer:
GCF = 4xy⁷z
Step-by-step explanation:
Do Prime Factorizations for each term and select only those terms common to each:
28xy⁹z = 2·2·7·x·y·y·y·y·y·y·y·y·y·z
32x²y⁷z = 2·2·2·2·2·x·x·y·y·y·y·y·y·y·z
GCF = 2·2·x·y·y·y·y·y·y·y·z
GCF = 4xy⁷z
