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2 years ago

The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

7 0

Joe earned $140 for working 20 hours

To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Joe worked 14 hours and earned = $119

Joe worked for 1 hour and earned = $ 119/ 14

Joe worked for 20 hours and earned = $ 119/ 14 x 20

= 4140

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3 years ago

Which expression could be substituted for y in the second equation to find the value of x?

EastWind [94]

value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

$2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)$

For putting value of y in second equation, we will find from equation 1

From equation 1:

$2x-y=-10\\-y=-10-2x\\y=10+2x$

Putting value of y i.e y=10+2x in equation (2) to find value of x

$2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}$

So, now finding value of y by putting value of x= -29/4 in eq(1)

$2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}$

So, value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Keywords: System of equations

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4 years ago

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3 years ago

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The size of the scale model is 60 centimeters.

Step-by-step explanation:

Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:

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