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3 years ago

Thirteen less than one fifth of a number equals 58. Write an equation for this situation and then find the number.

Mathematics

1 answer:

bazaltina [42]3 years ago

8 0

N/5 - 13 = 58
N/5 = 71
N = 355

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The slope would have to be less than one if the Y value is less than one while the X value is one

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3 years ago

A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons o

MrMuchimi

Answer:

It would take 86.4 gallons of gas to go 1,836 miles.

Step-by-step explanation:

the situation can be explained by the equation 16x=340, where x is how many miles the car can go in one gallon. divide both sides by 16 to get that answer

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Now the other problem can be expressed by the equation 21.25y=1836, where y is the amount of gallons it would take to go 1,836 miles.

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Neporo4naja [7]

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3 years ago

The slope of AB is 3 over 4 and point A is (2. 9). How many possible locations are there for point

nignag [31]

Answer:

Part 1) There are infinity locations for the point B

Part 2) see the explanation

Step-by-step explanation:

Part 1) How many possible locations are there for point B?

we know that

The equation of a line in point slope form is equal to

$y-y1=m(x-x1)$

where

$m=\frac{3}{4}$

$(x1,y1)=(2,9)$

substitute

$y-9=\frac{3}{4}(x-2)$

Convert to slope intercept form

$y-9=\frac{3}{4}x-\frac{6}{4}$

$y=\frac{3}{4}x-\frac{6}{4}+9$

$y=\frac{3}{4}x+\frac{30}{4}$

$y=0.75x+7.5$

Point B can be any point ( different from point A) that satisfies the linear equation

therefore

There are infinity locations for the point B

Part 2) Describes a method to location the point

To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate

Example

Suppose that the x-coordinate of point B is 4

For x=4

substitute in the linear equation

$y=0.75(4)+7.5=10.5$

The coordinates of point B is (4,10.5)

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3 years ago