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3 years ago

100 kg of a fruit contained 90% water one week ago. How many kg of the fruit containing 80% water are there now?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

90kg

It is just a simple proportional problem. If you subtract 10%, then you subtrat 10 kg.

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Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...

Strike441 [17]

Given:

The given arithmetic sequence is:

$-3,-1,1,3,...$

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

$-3,-1,1,3,...$

Here, the first term is -3. So, $b(1)=-3$ .

The common difference is:

$d=-1-(-3)$

$d=-1+3$

$d=2$

The recursive formula of an arithmetic sequence is:

$b(n)=b(n-1)+d$

Where, d is the common difference.

Putting $d=2$ , we get

$b(n)=b(n-1)+2$

Therefore, the recursive formula of the given arithmetic sequence is $b(n)=b(n-1)+2$ , where $b(1)=-3$ .

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3 years ago

27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times at bat?

9966 [12]

Answer:

8 hits

Step-by-step explanation:

The ratio is :

hits : times-at-bat = 4 : 9

Now, we have 18 times at bat.

Multiply both sides of the ratio with 2 :

4 x 2 hits : 9 x 2 times at bat
8 hits : 18 times at bat

Harry should make 8 hits in 18 times at bat.

6 0

2 years ago

Dimitri rode his bike 32 miles yesterday. He rode 12 4/5 miles before lunch and the rest of the distance after lunch. How far di

BigorU [14]

19.2 miles is the answer

3 0

3 years ago

Read 2 more answers

The weight of an object is affected by gravity. Something that weighs 1 pound on earth will weigh 1.08 times that weight on Satu

laila [671]

Answer:

2.7 lb

Step-by-step explanation:

2x1.08=2.16

1/2x1.08=0.54

2.16

+ 0.54

2.70

2.70 = 2.7

5 0

3 years ago

Graph the inverse of the function.

Ghella [55]

Answer:

The graph of the inverse function is the same that the graph of the original function

Step-by-step explanation:

step 1

Find the equation of the function in the graph

Let

f(x) ---> the function in the graph

we know that

Is a linear function

take the points (0,6) and (6,0)

Find the slope of the linear function

$m=(0-6)/(6-0)\\m=-1$

Find the the equation of the linear function in slope intercept form

$f(x)=mx+b$

we have

$m=-1$

$b=6$ ---> the y-intercept is given

substitute

$f(x)=-x+6$

step 2

Find the inverse of the function f(x)

Let

y=f(x)

$y=-x+6$

Exchange the variables (x for y and y for x)

$x=-y+6$

Isolate the variable y

$y=-x+6$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=-x+6$

$f^{-1}(x)=f(x)$

In this problem the graph of the inverse function is the same that the graph of the original function

4 0

3 years ago