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Fed [463]
2 years ago
5

One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer

Mathematics
1 answer:
masha68 [24]2 years ago
6 0

Answer: 1, 4

Step-by-step explanation:

  • Number #1 = x
  • Number #2 = \frac{1}{4} x

\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4

  • Number #1 = x = 4
  • Number #2 = \frac{1}{4} x = \frac{1}{4} *4=\frac{4}{4} =1
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F(x) = x + 4<br> G(x) = x^2 + 4<br> Find (fog) (3)
Anika [276]
Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
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5 0
3 years ago
Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

8 0
3 years ago
In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 8 m? Enter your answer in the box.
yan [13]

Answer:

16

Step-by-step explanation:

In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)

3 0
2 years ago
A bag of corn chips weighs 8 ounces. How many bags of chips weigh 12 pounds?
lora16 [44]
Answer: 24


8 oz is half a pound because a pound is 16 oz, so if you count how many halves go into 12 lbs you get 24 bags
6 0
2 years ago
hello like almost everyone else on here, I'm probably gonna fail so uh help, please? In your own words explain how to multiply/d
babymother [125]

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Step-by-step explanation:

3 0
2 years ago
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