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Shtirlitz [24]
3 years ago
11

Tori ran 4/5 Mile in 1/5 hour. write an equation for the distance in miles Y that she ran in X hours if she ran at a constant ra

te​
Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

y=4x

Step-by-step explanation:

Let

y ----> the distance in miles

x ----> the time in hours

using proportion

\frac{y}{x}=\frac{(4/5)}{(1/5)}

Simplify

\frac{y}{x}=\frac{4}{1}

y=4x

This is a linear direct variation

The unit rate or speed is the slope of the linear equation

The unit rate is 4 miles/hour

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An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.
NARA [144]

Answer: The net change would be -2.

Step-by-step explanation: The upward change of elevator is represented by positive sign while the downward change represented by negative sign.

Given, First the elevator goes up 15 floors, change = + 15, Then it goes 9 floors down, change = -9, Then it goes 11 floors up,Change = + 11, Finally, it goes 19 floor down, Change = - 19 So, the net change = sum of total changes = 15 - 9 + 11 - 19 = -2

your welcome!

6 0
2 years ago
Which is a correct two column proof. Given <4 and
vladimir1956 [14]

The initial statement is:    QS = SU   (1)

                                    QR = TU    (2)

 

We have to probe that:  RS = ST

 

 

Take the expression (1):                     QS       =   SU

We multiply both sides by R                (QS)R   =   (SU)R

 

 

But    (QS)R = S(QR)     Then:            S(QR)   =   (SU)R     (3)

 

From the expression (2):  QR = TU. Then, substituting it in to expression (3):

 

                                                       S(TU)   =   (SU)R     (4)

 

But  S(TU) = (ST)U  and (SU)R = (RS)U

 

Then, the expression (4) can be re-written as:

 

                                                      (ST)U    =    (RS)U

 

Eliminating U from both sides you have:     (ST) = (RS)    The proof is done.

4 0
3 years ago
Use the Distributive Property<br><br> 1/2 (2n+6m)
Alik [6]

Answer:

n + 3m

Step-by-step explanation:

It will become 1/2 * 2n + 1/2 * 6m = n + 3n

4 0
3 years ago
The population is a Midwest industrial town decreased from 224,000 to 221,000 in just 4 years. Assuming that this trend continue
valina [46]

Answer:

227750

Step-by-step explanation:

If we assume that the rate of increase in population is linear, then in 4 years the increase in population is (224000 - 221000) = 3000.

So, the rate of increase in population is \frac{3000}{4} = 750 persons per year.

Now, we have to calculate the population of the town after an additional 5 years.

So, the population in 5 years will increase by (750 × 5) = 3750

Therefore, the population after an additional 5 years will be (224000 + 3750) = 227750. (Answer)

7 0
4 years ago
If f(x)=2x+1 and g(x)=(x^2)-7, find (f/g)(x).
alexdok [17]

f(x)=2x+1;\ g(x)=x^2-7\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\boxed{\left(\dfrac{f}{g}\right)(x)=\dfrac{2x+1}{x^2-7}}

6 0
3 years ago
Read 2 more answers
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