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3 years ago

Please help me define the variables and write out each equation. TY!

Mathematics

1 answer:

juin [17]3 years ago

6 0

Answer:

The equations are:

10x + 9y = 122

x + y = 13

Step-by-step explanation:

Given Jose makes 10$ per hour washing cars and 9$ per hour walking dogs.

Also, it is given that he had worked for 13 hours total making 122$.

Let us assume the number of hours he spent on washing cars = 'x'.

Let us assume the number of hours he spent on walking dogs = 'y'.

Since, the total number of hours is 13, we can write:

x + y = 13 . . . eqn(1)

And since he has made 122$ in total, we will have:

10x + 9y = 122 . . .eqn(2)

'10x' represents the total money earned by washing cars and '9y' represents the total hours spent on walking dogs.

Hence, Eqn (1) and Eqn(2) is the answer.

Solving them will give: x = 5 and b = 8.

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solve this word problem leading to quadratic equation: the area of a rectangle is 60cm². The length is 11cm more than the width.

morpeh [17]

Answer:

Step-by-step explanation:

let : x The length and y the width you have this system :

xy =60....(1)

x = y+10...(2)

put the value for x in (1): (y+10)y =60

the quadratic equation is : y² +10y - 60 = 0

Δ =b² - 4ac a = 1 b= 10 c= - 60

Δ =10² - 4(1)(-60) = 324 =18²

y 1 = (-10-18)/2 negatif...... refused

y 2 = (-10+18)/2 =4

the width is 4

8 0

3 years ago

Evaluate and give me the answer

Nana76 [90]

(-3)^3= -27
(-9)^2= 81

7 0

3 years ago

Read 2 more answers

Which graph correctly represents (5/2)x - y < 3?

Setler79 [48]

You can rewrite the inequality as

$y > \cfrac{5}{2}\ x - 3$

Note that

$y = f(x) = \cfrac{5}{2}\ x - 3$

is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e. $f(x)$

The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.

Also, since the equality inlves a $>$ and not a $\geq$ sign, the line itself is excluded.