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alukav5142 [94]
3 years ago
7

12. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job

in 1 ½ hours. How quickly can all three fill the pool together?
Mathematics
2 answers:
tiny-mole [99]3 years ago
3 0

Answer:

2 hrs 45 mins

Step-by-step explanation:

30min + 45min = 1hr 15min + 1hr 30min = 2hrs 45mins

RoseWind [281]3 years ago
3 0

Answer:

<em>15 minutes </em>

Step-by-step explanation:

\frac{1}{30} + \frac{1}{45} + \frac{1}{90} = \frac{3}{90} + \frac{2}{90} + \frac{1}{90} = \frac{6}{90} = \frac{1}{15}

All three can fill the pool in <em>15 minutes</em>

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Convert 1/5 to a percentage.<br> And<br> Convert 12/100 to a decimal. <br> Please help.
S_A_V [24]

Answer:

20%

0.12

Step-by-step explanation:

Convert 1/5 to a percentage.

1/5 * 100% = 20%

Convert 12/100 to a decimal.

0.12

8 0
3 years ago
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Simplify the given algebraic expression.<br> 8(5y - 8) - (5y + 3)
RoseWind [281]

Answer:

35y - 67

Step-by-step explanation:

8(5y - 8) - (5y + 3)

Multiply the 8 with what is in the parentheses.

40y - 64 - 5y + 3

Subtract like terms.

35y - 67

7 0
3 years ago
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In Triangle ABC shown below, side AB is 6 and side AC is 4.
Amanda [17]

Answer: A is the correct option.Segment AD is 3 and segment AE is 2.


Step-by-step explanation:

Given : A triangle ABC  where AC=4 and AB=6

then to prove segment DE is parallel to segment BC and half its length.

the length of AD and AE must divide AC and AB respectively to get the same ratio of 2:1

To apply converse of basic proportionality theorem.

If we take first option Segment AD is 3 and segment AE is 2 then

\frac{AB}{AD}=\frac{6}{3}=\frac{2}{1},\frac{AC}{AE}=\frac{4}{2}=\frac{2}{1}\\\Rightarrow\frac{AB}{AD}=\frac{AC}{AE}

Therefore by converse of basic proportionality theorem

DE is parallel to segment BC and half its length.

Therefore A is correct option.




7 0
3 years ago
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DO U KNOW SLOPE??? PLZ HELP
IgorLugansk [536]

To calculate slope; rise/run

Triangle ABC: run-1 rise-5 slope-5

5 rise/ 1 run (5/1)=5

Triangle DEF: run-2 rise 10 slope-5

10 rise/ 2 run (10/2)=5

B. They are equal because the two triangles are similar



7 0
3 years ago
Find the equation of the line which passes through the point (−2,−5) and is parallel to the line −3x+5y=−4.
leonid [27]
-3x+5y=-4
5y=3x-4
Y=3/5x-4/5


When it parallel to the line y=3/5x-4/5

It can be y=-3/5x+b

-5=6/5+b

B=-5-6/5=-25/5-6/5=-31/5

Y=-3/5x-31/5

3/5x+y=-31/5

Multiply 5

3x+5y=-31
4 0
3 years ago
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