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lorasvet [3.4K]

2 years ago

7

A chocolate factory makes 6060 chocolates in an hour .How many chocolates can it make in a day , if the factory is operational f

or 13 hours?
I want in step by step please ....

1 answer:

dimulka [17.4K]2 years ago

6 0

Answer:

78,780

Step-by-step explanation:

Given:

6060 chocolates made per hour
13 hours in one day

Number of chocolates made in 1 day = number of chocs/hr × number of hours

= 6060 × 13

= 78,780

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The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and

jeka57 [31]

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30

6 0

3 years ago

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

<u>Hence final answer is -0.47.</u>

7 0

3 years ago

Which one of the following is closest to 4?<br> 3 1/8<br> 2 11/12<br> 4 9/10<br> 4 4/5

grandymaker [24]

4 4/5 is closest to 4

4 0

3 years ago

Read 2 more answers

What is the sum of the geometric series

Sergio039 [100]

Answer: 2343 / 256

Explanation

I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.

1) Adding the terms:

4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0

= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =

= 2343 / 256

2) Using the formula:

n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0

Here n - 1 = 4 => n = 5

r = 3/4

A = 3

Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =

= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =

= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256

So, no doubt, the answer is 2343 / 256

5 0

3 years ago

Mark scored 138 points in 6 games. How many points did he score per game?

WINSTONCH [101]

Answer:

23 Points

Explanation:

7 0

3 years ago

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