Answer:
Numerator = 18
Denominator =75
Step-by-step explanation:
Given the expression
9/15=x/30=45/x
We can equate any two fractions
9/15= x/30
Criss multiply
15x = 9×30
15x = 270
x = 270/15
x= 18
Numerators is 18
Similarly
9/15 = 45/x
1/15 = 5/x
x = 5×15
x = 75
The denominator is 75
Answer:
(b³+11b²+24)ft³
Step-by-step explanation:
Volume of the rectangular prism = Length * Width * Height
Given the dimension
Length = b+8 ft
Width = b ft
Height = (b+3)ft
Volume of the rectangular prism = b(b+8)(b+3)
Volume of the rectangular prism = b(b^2+3b+8b+24)
Volume of the rectangular prism = b(b^2+11b+24)
Volume of the rectangular prism = b(b^2)+b(11b)+1(24)
Volume of the rectangular prism = b^3+11b^2+24
Hence the Volume of the rectangular prism is (b³+11b²+24)ft³
Dance (D) + Rap (R) + Country (C) = 1,075 songs
D = 3R
C = R + 105
RAP
Subtract 105 from both side:
(3R) + R + (R + 105) = 1,075
-105 -105
Combine all R's:
(3R) + R + R = 970
5R = 970
Divide both sides by 5:
5R = 970
/5 /5
R = 194
DANCE
D = 3(R)
D = 3(194)
D = 582
COUNTRY
C = R + 105
C = 194 + 105
C = 299
So, the DJ has a total of 194 rap songs, 582 dance songs, and 299 country songs.
<span>6616.19 ft^3 is the answer
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Answer:$29.82
First find the discount, then find the tax
