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Ratling [72]
3 years ago
15

If y varies directly as x, and y=6 as x=-1, find y for the x-value of 5

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

y=-30

Step-by-step explanation:

we are given

y varies directly as x

so, we can write equation as

y=kx

where

k is constant of proportionality

We have

at x=-1 , y=6

so, we can use it to find k

6=k(-1)

so, we get

k=-6

now, we can plug it back

y=-6x

now, we can plug x=5

and we get

y=-6\times 5

y=-30

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M is inversely proportional to r if m= 9 when r= 4 find m when r=2
bazaltina [42]

m=18 when r = 2.

Step-by-step explanation:

Given,

m∝\frac{1}{r}

So,

m = k×\frac{1}{r},--------eq 1, here k is the constant.

To find the value of m when r = 2

At first we need to find the value of k

Solution

Now,

Putting the values of m=9 and r = 4 in eq 1 we get,

9 = \frac{k}{4}

or, k = 36

So, eq 1 can be written as m= \frac{36}{r}

Now, we put r =2

m = \frac{36}{2}

or, m= 18

Hence,

m=18 when r = 2.

4 0
3 years ago
How many tens make 100
zheka24 [161]

Answer:

10

Step-by-step explanation:

10+10+10+10+10+10+10+10+10+10=100

7 0
3 years ago
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How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?
jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction  (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of  (miles/minute)  or maybe  (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction.  But it can
have different units, that cancel with other units to eventually
give you the units you want.

      (4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ...  1 hour is the same thing as  60 minutes.

Multiply the fractions:  (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

             (4 miles x 1) / (2 x 60 minutes)

               = (4 miles) / (120 minutes) 

               =          (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer. 

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom. 

Multiply all three fractions: 

     (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

     (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

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3 0
3 years ago
Read 2 more answers
Is 14/18 greater then, less then, or equal to 7/9
Musya8 [376]

Answer:

Equal to

Step-by-step explanation:

14/18 is just 7/9 but with the numerator and denominator multiplied by 2

5 0
2 years ago
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Which of the following equation(s) has/have slope zero?
Mnenie [13.5K]

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

5 0
2 years ago
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