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I am Lyosha [343]
3 years ago
9

The histogram below shows information about the weights (in kg) of all the packages Colin needs to send out today for his busine

ss. How many packages does Colin need to send today?
Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

3 packages

Step-by-step explanation:

Given

See attachment for complete question

Required

The packages less than 30 kg.

To do this, we simply add up the frequencies of packages less than 30 kg.

From the chart, we have:

x \to Frequency

0 - 9 \to 0.55

10 - 19 \to 0.55

20 - 29 \to 1.90

So, the total is:

Total = 0.55 + 0.55 + 1.90

Total = 3

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Answer:

  10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}

7 0
3 years ago
A tennis racket normally costs
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Th sale price of the tennis racket is 32$
Hope this helps you!
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3 years ago
Fine the equation, in standard form, of the line passing through the points (3,-4) and (5,1)
Talja [164]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, -4) and (5, 1). Substitute:

m=\dfrac{1-(-4)}{5-3}=\dfrac{5}{2}\\\\y-(-4)=\dfrac{5}{2}(x-3)

The standard form: Ax+By=C

y+4=\dfrac{5}{2}(x-3)           <em>multiply both sides by 2</em>

2y+8=5(x+3)           <em>use distributive property</em>

2y+8=5x+15            <em>subtract 2y from both sides</em>

8=5x-2y+15          <em>subtract 15 from both sides</em>

-7=5x-2y

<h3>Answer: 5x - 2y = -7</h3>
5 0
3 years ago
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c
-Dominant- [34]

Answer:

c + h = 5 and

0.75c + 1.10h = 4.55

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

Cookies + Hot\ Dogs = 5 --- (1)

And the amount spent can be represented as:

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55 --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

Cookies + Hot\ Dogs = 5 implies c + h = 5

And

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

0.75c + 1.10h = 4.55

Hence, the equations are:

c + h = 5 and

0.75c + 1.10h = 4.55

Solving for c and h

Make c the subject in c + h = 5

c = 5 - h

Substitute 5 - h for c in 0.75c + 1.10h = 4.55

0.75(5- h) + 1.10h = 4.55

3.75- 0.75h + 1.10h = 4.55

3.75 +0.35h = 4.55

Collect Like Terms

0.35h = 4.55 - 3.75

0.35h = 0.8

Solve for h

h = 0.8/0.35

h = 2.28571428571

h =2 -- approximated

Recall that:

c = 5 - h

c = 5 - 2

c =3

5 0
3 years ago
Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term
Fudgin [204]

Answer:

the second choice

Step-by-step explanation:

8 0
3 years ago
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