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yawa3891 [41]
2 years ago
7

Write the equation of the line with a slope of 1/5 that passes through the point (20,5)

Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

y =  \frac{1}{5} x + 1

Step-by-step explanation:

the general equation of a line is y=mx+c

because the slop is 1/5, the equation of this line would be

y =  \frac{1}{5} x + c

with the coordinates (20,5) , take 20=x and 5=y

and substitute these values into the equation above.

you should get:

5= 4 + c

so c = 1

therefore, the equation of the line is:

y =  \frac{1}{5} x + 1

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How do i solve m - 4/9 = -2 67/90
Diano4ka-milaya [45]

Answer:

m=-23/10

Step-by-step explanation:

-2 67/90=-247/90

m-4/9=-247/90

m=-247/90+4/9

m=-247/90+40/90

m=-207/90

m=-23/10

3 0
3 years ago
In a 45 45 90 right triangle the length of the hypotenuse is 15/2 what is length on one of the legs
Nikitich [7]
Hi there!

For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.

To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.

We get the following:

\frac{15}{ 2 \sqrt{2} }

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.

We get the following:

\frac{15 \sqrt{2} }{4}

That's your answer.

Have an awesome day! :)

- collinjun0827, Junior Moderator
8 0
3 years ago
A car with a tank that holds 11.6 gallons of gasoline is using 1.45 gallons per hour. Is the tank more than half full of gasolin
spayn [35]
No, because 11.6/2 is 5.8 so 5.8 is half of the tank. if it uses 1.45 per hour and it's used for 3.5 hours there will only be 5.075
6 0
3 years ago
Read 2 more answers
Show how to use the distributive property to simplify 4(5+x).
VladimirAG [237]

Answer:

Step-by-step explanation:

Ur mom

8 0
3 years ago
5 brothers want to share the cost of a birthday gift for their mom. The youngest brother is too small to get an allowance so the
liberstina [14]

Answer:

<em>Total cost=$73.60 </em>

Step-by-step explanation:

<u>Arithmetics To Solve Simple Problems </u>

Sometimes the use of the most basic operations can be handy to solve problems of a variety of complexities without the use of equations or algebra. We'll approach to the solution of this question by pure logic and basic operations.

If the gift was originally meant to be paid for all 5 brothers, each one would have paid one-fifth of the cost. But since the younger brother won't be paying anything, the cost will be divided among the other four brothers, each one of which will pay now one-fourth of the cost. But this new division is $3.68 more than the previous one. If we take the difference between both fractions, we get

\displaystyle \frac{1}{4}-\frac{1}{5}=\frac{1}{20}

That fraction is the portion of the money they are paying in excess, so the total cost should be twenty times that excess, i.e.

Total cost= 20*3.68=$73.60

Let's check. Each brother should have paid $73.60/5=$14,72. But the four brothers really paid $73.6/4=$18.40. The difference is cost is $18.40-$14,72=$3.68 as required

5 0
3 years ago
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