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BigorU [14]
3 years ago
9

Why is y = 3.5 x proportional

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer:

Step-by-step explanation:

A proportion is being directly related to something, meaning that there is just multiplication or division (just a coefficient in front of the x-coordinate, nothing more).

In a graph, a proportional graph is a graph that goes straight through the origin.

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Simplify 4 + (30 + 2) Justify your steps​
Sveta_85 [38]

Answer:

The answer is 36

Step-by-step explanation:

1) Add 30 + 2 and get 32

2) Then you just add 32+4 and get 36

6 0
2 years ago
Round 1400 to the nearest 10
anygoal [31]

Answer:

1395 is the lower bound because 1395 rounded to the nearest 10 is 1400 but 1394 rounded to the nearest 10 is 1390.

Step-by-step explanation:


7 0
3 years ago
Solve the equation 2/3 x = 6
joja [24]

Answer: x = 9

Step-by-step explanation: divide 2/3x by 2 and do that to both sides to get 1/3x = 3 then multiply by 3 to get the whole x. multiply on both sides to get x = 9.

3 0
3 years ago
Read 2 more answers
Help me please!
masya89 [10]

Answer:

951.15 ltr

Step-by-step explanation:

first you convert inch into cm just to make things easier

1 inch = 2.54cm

so,

radius(r)= 24 inch = 24×2.54= 60.96cm≈ 61 cm

then calculate the volume of the sphere

i.e.

V = 4/3(πr³)= 4/3×22/7× 61³= 951158.47 cm³

Now that we have volume

we know that,

1 ltr = 1000cm³

sooo,

  • x ltr= 951158.47÷1000= 951. 15 ltr

8 0
3 years ago
Each week, Heather’s company has $5000 in fixed costs plus an additional $250 for each system produced. The company is able to p
kvv77 [185]

The question is an illustration of composite functions.

  • Functions c(n) and h(n) are \mathbf{c(n) = 5000 + 250n} and \mathbf{n(h) = 5h}
  • The composite function c(n(h)) is \mathbf{c(n(h)) = 5000 + 1250h}
  • The value of c(n(100)) is \mathbf{c(n(100)) = 130000}
  • The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>

The given parameters are:

  • $5000 in fixed costs plus an additional $250
  • 5 systems in one hour of production

<u>(a) Functions c(n) and n(h)</u>

Let the number of system be n, and h be the number of hours

So, the cost function (c(n)) is:

\mathbf{c(n) = Fixed + Additional \times n}

This gives

\mathbf{c(n) = 5000 + 250 \times n}

\mathbf{c(n) = 5000 + 250n}

The function for number of systems is:

\mathbf{n(h) = 5 \times h}

\mathbf{n(h) = 5h}

<u>(b) Function c(n(h))</u>

In (a), we have:

\mathbf{c(n) = 5000 + 250n}

\mathbf{n(h) = 5h}

Substitute n(h) for n in \mathbf{c(n) = 5000 + 250n}

\mathbf{c(n(h)) = 5000 + 250n(h)}

Substitute \mathbf{n(h) = 5h}

\mathbf{c(n(h)) = 5000 + 250 \times 5h}

\mathbf{c(n(h)) = 5000 + 1250h}

<u>(c) Find c(n(100))</u>

c(n(100)) means that h = 100.

So, we have:

\mathbf{c(n(100)) = 5000 + 1250 \times 100}

\mathbf{c(n(100)) = 5000 + 125000}

\mathbf{c(n(100)) = 130000}

<u>(d) Interpret (c)</u>

In (c), we have: \mathbf{c(n(100)) = 130000}

It means that:

The cost of working for 100 hours is $130000

Read more about composite functions at:

brainly.com/question/10830110

5 0
3 years ago
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