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BlackZzzverrR [31]
2 years ago
7

If x varies directly as y, and x = 27 when y=6, find x when y=2

Mathematics
2 answers:
hjlf2 years ago
8 0

Easiest way to solve these problems would be setting up a proportion.

\frac{27}{6} = \frac{x}{2}

Let x = ... well... our missing x

Now, we crossmultiply.

6x = 27(2)

6x = 54

x = 54/6

x = 9

AveGali [126]2 years ago
6 0

\frac{y}{x} = k

\frac{6}{27} = k

\frac{2}{9} = k

******************************

\frac{y}{x} = k

\frac{2}{x} = \frac{2}{9}

  18 = 2x

   9 = x



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Hey ok i need help on this question ive been stuck on it for a couple minutes haha
Len [333]

Answer:

The side s has a length of 4 and side q has a length of 4\sqrt{3} ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = \sqrt{3} × 8

∴ 2q = 8\sqrt{3}

→ Divide both sides by 2

∴ q = 4\sqrt{3}

∴ The length of q is 4\sqrt{3}

7 0
3 years ago
Do the ratios 10/8 and 16/20 form a proportion<br><br> Yes or no?
ziro4ka [17]

Answer:

No. Reduce 10/8 by dividing by 2. 10/8= 5, 8/2= 4. 10/8= 5/4. Reduce 16/20 by dividing by 4. 16/4= 4 , 20/4= 5. 16/20= 4/5.

6 0
3 years ago
Image attached, please help.
tia_tia [17]

Answer:

 B 3x: 51  = 3x+24: 85

Step-by-step explanation:

Since the triangles are similar

PS             PQ

------- =  -----------

PT                PR


Substitute the values in

3x             3x+24

------- =  -----------

51         85



3x: 51  = 3x+24: 85

4 0
2 years ago
What is the simplified form of the square root of 80?
djyliett [7]
\sqrt{80} =  \sqrt{2 * 2* 2* 2* 5}  =  \sqrt{2^{2}*2^{2}*5}  = 2*2* \sqrt{5} = 4 \sqrt{5}
Hope this helps.
3 0
3 years ago
Someone helpppppppppppppp..... Worth 20 pointsssssss it's the last question and I've been confused for the past 2 hours Write yo
Vera_Pavlovna [14]
This is so easy dud. help is on the way

4 0
3 years ago
Read 2 more answers
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