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DochEvi [55]
3 years ago
13

Three Duos is worth the same amount as two Trios. Steve has thirty-six Trios. If he converts all of his Trios to Duos, then how

many Duos will Steve have?
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Answer:

<em>Steve has 54 Duos</em>

Step-by-step explanation:

<u>Proportions</u>

It's given three duos (D) is worth as two trios (T), i.e.:

3D = 2T

Steve has 36 trios, that is, 36T. To find the equivalence to duos, we multiply the given relationship by 18:

18*3D = 18*2T

Operating:

54D = 36T

Therefore, 36 trios are equivalent to 54 duos.

Steve has 54 Duos

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If a residence is rented for 15 days or more and is used for personal purposes for not more than 14 days or 10 percent of the da
11Alexandr11 [23.1K]

Answer:

False.

Step-by-step explanation:

For a residence whose primary usage is for rental purpose, its expenses must still be allocated between personal and rental days as agreed between the client and the owner

All terms of agreement remains valid and there's no other allocation of expenses that will be required. The taxpayer cannot claim any deduction for the full amount of the expenses.

7 0
3 years ago
You start at (6, 10). You move down 9 units. Where do you end?
Andrew [12]

Answer:

(6,1)

Step-by-step explanation:

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5 0
2 years ago
Find the student’s error in solving the following inequality.
bagirrra123 [75]

Student's error is –5 < x.

Solution:

Step 1: Given inequality

31 < –5x + 6

Step 2: Subtract 6 from both sides of the inequality.

31 – 6 < –5x + 6 – 6

25 < –5x

Step 3: Multiply both sides by –1 to reverse the inequality.

25 × (–1) > –5x × (–1)

–25 > 5x

Step 4: Divide by 5 on both sides.

–5 > x

The correct answer is –5 > x.

Student's error is –5 < x.

8 0
3 years ago
PLEASE HELP QUICK! MARKING BRAINLYEST!
STALIN [3.7K]

The height of the tree to the nearest tenth of foot is 20.5 ft

<h3>Right angle triangle:</h3>

A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

The side of the base triangle can be found using Pythagoras theorem.

c² = a² + b²

c² = 9.2² + 5.8²

c² = 84.64 + 33.64

c = 10.9 ft

using similar triangle ratio,

5.8 / 10.9 = 10.9 / x + 5.8

5.8x = 118.81 - 33.64

x = 85.17 / 5.8

x = 14.6844827586

x = 14.7 ft

The height of the tree to the nearest foot is  14.7 + 5.8 = 20.5  ft

learn more on right angle triangle here: brainly.com/question/26909069

5 0
2 years ago
The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).
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(i)
A(3,2),B(1,6)&#10;\\&#10;\\m_{AB}= \frac{6-2}{1-3}=-2&#10;\\&#10;\\m_{BC}m_{AB}=-1&#10;\\ &#10;\\m_{BC}= \frac{-1}{m_{AB}} = \frac{-1}{-2}= \frac{1}{2}  &#10;\\&#10;\\B(1,6)\Rightarrow x_1=1,y_1=6&#10;\\&#10;\\BC:y-y_1=m_{BC}(x-x_1)&#10;\\&#10;\\y-6= \frac{1}{2}(x-1)&#10;\\&#10;\\2y-12=x-1&#10;\\x-2y+11=0

(ii)
AC:y=x-1&#10;\\BC:x-2y+11=0&#10;\\&#10;\\C=AC\cap BC&#10;\\&#10;\\x-2(x-1)+11=0&#10;\\x-2x+2+11=0&#10;\\x=13&#10;\\y=x-1=13-1=12&#10;\\C(13,12)

(iii)
A(3,2)B(1,6),C(13,12)&#10;\\P=2(d(A,B)+d(B,C))&#10;\\&#10;\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20}  =2 \sqrt{5} &#10;\\&#10;\\d(B,C)= \sqrt{(13-1)^2+(12-6)^2}= \sqrt{180}= 6\sqrt{5}  &#10;\\ &#10;\\P=2(2 \sqrt{5}+6 \sqrt{5})=2\times8 \sqrt{5} =16 \sqrt{5}
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3 years ago
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