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Rudiy27
3 years ago
11

The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0
Y=(kx)/z


15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

x=20
z=6
y=(6*20)/6
y=20
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Find the surface area of a cone with radius 14.2 inches and slant height 24.1 inches.
ololo11 [35]

Answer:

1708.58658058

Step-by-step explanation:

Total surface area formula = (π×r²)+(π×r×s)

r = radius

s = slant height

So we substitute the values into the formula (π×r²)+(π×r×s)

(π×14.2²)+(π×14.2×24.1) = 1708.58658058

8 0
3 years ago
In a bag,There are red and blue cubes in the ratio 4:7.I add 10 more red cubes to the bag.Now here are red and blue cubes in the
Hoochie [10]

Given:

The ratio of red and blue cubes is 4:7.

After adding 10 more red cubes the ratio of red and blue cubes is 6:7.

To find:

The number of blue cubes.

Solution:

The ratio of red and blue cubes is 4:7.

Let the number of red and blue cubes be 4x and 7x respectively.

After adding 10 more red cubes.

Number of red cubes = 4x+10

Then, the ratio of red and blue cubes is 6:7.

\dfrac{4x+10}{7x}=\dfrac{6}{7}

7(4x+10)=6(7x)

28x+70=42x

70=42x-28x

70=14x

Divide both sides by 14.

5=x

Now,

Number of blue cubes in the bag is

7(5)=35

Therefore, the number of blue cubes is 35.

5 0
2 years ago
I need help please i don't get this.
Licemer1 [7]

Answer:

22

Step-by-step explanation:

Points Y and X are are the midpoints of the segments HI and HG respectively.

Therefore,

By Mid-segment formula:

IG = 2*YX = 2* 11 = 22 units

7 0
2 years ago
Read 2 more answers
What does x equal ? i’ve been confused on this same question for 20 min
slega [8]

Answer:

45*

Step-by-step explanation:

This is because angles of a triangle like this need to be 135* total. So 135/3 is 45*

7 0
3 years ago
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7n +9 = -1+6(n+4)<br>can someone walk me through this please?​
Ira Lisetskai [31]

Answer:

n = 14

Step-by-step explanation:

7n +9 = -1+6(n+4)

Distribute

7n+9 = -1 +6n+24

Combine like terms

7n +9 = 6n +23

Subtract 6n from each side

7n -6n+9 = 6n-6n +23

n+9 = 23

Subtract 9 from each side

n+9-9=23-9

n = 14

6 0
3 years ago
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