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77julia77 [94]
3 years ago
8

WORTH 10 POINTS! 1)susan can type 4 pages of text in 10 minutes.Assuming she types at a constant rate,write the linear equation

that represents the
situation
2)phil can build 3 birdhouses in 5 days.Assuming he builds birdhouses at a constant rate,write the linear equation that represents the situation.
3)train a can travel a distance of 500 miles in 8 hours.Assuming the train travels at a constant rate write a linear equation that represents the situation.
4)Natalie can paint 40 square feet in 9 minutes Assuming she paints at a constant rate write the linear equation that represents the situation.
5)bianca can run 5 miles in 41 minutes assuming she runs at a constant rate write the linear equation that represents the situation
6)Geoff can mow an entire lawn of 450 square ft in 30 minutes.Assuming he mows at a constant rate,write the linear equation that represents the situation.
(TRY TO ANSWER ALL OF THEM!! write a linear equation for all:)
Mathematics
1 answer:
Minchanka [31]3 years ago
8 0
1) pages per minute is the rate. the rate is the slope pages/minutes = .4
y=.4x or y=2/5(x)
2)birdhouses per day is the slope. = .6
y=.6x or y=3/5(x)
3) miles per hour is the slope. 500/8=62.5
y=62.5x
4) square feet per minute is the slope. 40/9 =4.444444444
y=4.4444444444x or y=40/9(x)
5)miles per minutes is the rate. 5/41 is the slope. 
y=5/41(x)
6) the rate is square feet per minute. 450/30=15
y=15x
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If the fuel tank in Jim's car holds 14 gallons of fuel, define a formula to determine the number of gallons of fuel in Jim's fue
salantis [7]

Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:

y = -0.02x + 14

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • Jim's car holds 14 gallons of fuel, hence b = 14.
  • Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is m = -\frac{1}{50} = -0.02.

Hence, the function is:

y = -0.02x + 14

You can learn more about linear functions at brainly.com/question/25898120

5 0
2 years ago
Hannah has a biased coin.
muminat
Look at it this way:

When you flip a coin, the probability of it landing with EITHER side showing
is 100%. 

This leads us to the rule ...

               The sum of the probabilities of
               all possible outcomes is 100%.

For a coin:  (probability of heads) plus (probability of tails) = 100%.

That just says:  We're 100% sure that the coin will land with either
heads or tails up.

An "honest" coin gets heads 50% of the time and tails the other 50%.

But if the coin is all bent and squashed and has a feather stuck to
one side and a wad of gum on the other side so that it comes up
heads 70% of the time, then the coin isn't 'honest'.  But it still has to
land EITHER heads OR tails, so the sum of the probabilities is still 100%.

So the probability of heads is 30%.
7 0
3 years ago
Can someone pls explain this?
ryzh [129]

Answer:

A piecewise function.

Step-by-step explanation:

The problem you showed is a <em>piecewise function.</em>

In this problem, you have to plug in 3 for the value x.

However, if you take a look at the conditions that value x has, it never says that x can equal 3. <em>Thus, this function cannot be true.</em>

<em>Way to check this input is undefined: </em>

Plug in 3 for the variable x. On the first function, your output will be 4. On the second function, your output will be 8.

According to the definition of a function, a function can have many inputs but only one output. In this case, this function has one input, that is 3, but produces two outputs.

8 0
2 years ago
2 (x+6) +3x +4 simplified
stich3 [128]

Answer: 5x+16

Step-by-step explanation:

Distribute

2x+12 + 3x + 4

Add like terms

5x+16

3 0
3 years ago
Can someone please find C for me
s2008m [1.1K]
45 degrees? I may be wrong. 360/8=45
6 0
3 years ago
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