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Anestetic [448]
2 years ago
15

Grade 11 maths investigation ​

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0

Answer:

whats the question

Step-by-step explanation:

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Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
A boat travels 432km in 24 hours how far can it travel in 16 hours?
pickupchik [31]
The answer is 288 km!

3 0
3 years ago
Benny bought 5 new trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 4
Studentka2010 [4]
81 cards 43x2=86  86-5=81
3 0
3 years ago
sarita is selling lemonade in 300 millileter bottles. she made two batches of lemonade. each batch made 4.6liters of lemonade. h
saul85 [17]
200 ml will be left over
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3 years ago
Graph the equation F(x)=(1/3)^x
scoray [572]

The value of a=9,b=3 and c=1

Step-by-step explanation:

The graph shown is for function f(x)

The given function is f(x)=(\frac{1}{3}) ^{x}

Table says,

X      Y

-2      a

1        b

0       c

1     (1/3)

2    (1/9)

To find value of a:

From table, for output value a, input value, x=(-2)

we can write f(-2)=a

Therefore,

f(x)=(\frac{1}{3}) ^{x}

f(-2)=(\frac{1}{3}) ^{(-2)}

a=(\frac{1}{3^{(-2)}})

a=3^{(2)}

a=9

To find value of b:

From table, for output value a, input value, x=(-1)

we can write f(-1)=b

Therefore,

f(x)=(\frac{1}{3}) ^{x}

f(-1)=(\frac{1}{3}) ^{(-1)}

b=(\frac{1}{3^{(-1)}})

b=3^{(1)}

b=3

To find value of c:

From table, for output value a, input value, x=(0)

we can write f(0)=c

Therefore,

f(x)=(\frac{1}{3}) ^{x}

f(0)=(\frac{1}{3}) ^{(0)}

c=(\frac{1}{3^{(0)}})

c=1

5 0
3 years ago
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