Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
<h3>Setup</h3>
Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
<h3>Solution</h3>
Multiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
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<em>Additional comment</em>
The larger is (8/7)(28) = 32.
Answer:
No.
Step-by-step explanation:
Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.
Multiply 3 to both the numerator & denominator of 8/20
(8/20)(3/3) = 24/60
24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.
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Answer:
Both point are y=0. The difference between the two is that 2/3 is always decressing and 3/2 is always incressing.
Step-by-step explanation:
One way to solve it is writing two equations based on the info so
y = 5x + 10 for members
y = 6x for nonmembers
(the + 10 isn't included in the second equation because nonmembers won't pay a membership fee)
and to find their intersection point (where the values will be the same), you just set them equal to each other:
5x + 10 = 6x
subtract 5x
x = 10 classes
Answer:
The volume of pyramid B is 3.5 times greater than the volume of pyramid A
Step-by-step explanation:
The area of squared based a pyramid is given by:
Where 's' the length of the side of the base and 'h' is the height.
For pyramid A:
h= 100 m
s= 356/4 = 89 m
For pyramid B:
h= 215 m
s= 456/4 = 114 m
Pyramid B has a greater volume and the ratio between volumes is:
