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Dafna1 [17]
1 year ago
8

Two numbers are in the ratio 7:9 if the sum of the number is 112 then the lrger number is?

Mathematics
1 answer:
nordsb [41]1 year ago
7 0

Answer:

63

Step-by-step explanation:

the numbers are in ratio 7 : 9 = 7x : 9x ( x is a multiplier )

given the sum of the numbers = 112 , then

7x + 9x = 112 , that is

16x = 112 ( divide both sides by 16 )

x = 7 , then

9x = 9 × 7 = 63 ← value of larger number

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Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).
tensa zangetsu [6.8K]

Answer:

we conclude that:

  • g(f(-5)) = 30

Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

so

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14​

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

  • g(f(-5)) = 30
7 0
2 years ago
HELP PLEASE!!
ANTONII [103]
<span>Volume of the Sphere V = 4/3pi x r^3 So when diameter d = 3 inches => r = 1.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in So when diameter d = 8 inches => r = 4 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in So when diameter d = 9 inches => r = 4.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in value for option (a) is 3 x 14.14 = 42.42 inches value for option (b) is 268.03 inches value for option (c) is 381.63 / 2 = 190.815 inches So the correct option would be (b)</span>
5 0
3 years ago
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