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tamaranim1 [39]
3 years ago
12

Gustavo earns 8 dollars per hour plus 10% of his sales. Write an equation that models Gustavo's total earnings, E, when he works

x hours and has a total of y sales in dollars. you do not need to solve the equation​.
Mathematics
1 answer:
loris [4]3 years ago
8 0

Answer:

e = 8x + 0.1y

Step-by-step explanation:

If Gustavo makes no sales at all, he still gets $8 per hour worked (x).  We can model this part with this equation:

e = 8x

But then, if he sells something, he makes extra money.. He makes 10% (0.1) of every sale (y).  So the equation becomes:

e = 8x + 0.1y

or you can express it this way:

e = 8x + y/10

which is the same thing just written differently.

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The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
2 years ago
Select all ratios equivalent to 3:5.<br> 13:30<br> 4:15<br> 6:10
uysha [10]

Answer:

6:10

Step-by-step explanation:

3:5 is equivalent to 6:10 because you multiply both 3 and 5 by 2 and you get 6:10. every thing else is wrong

6 0
2 years ago
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Three cards are chosen from a standard deck of 52 playing cards with replacement what is the orobsbility every card will be a he
Ne4ueva [31]
1/4 x 1/4 x 1/4 = 1/64

There is a 1/64 chance that they will all be hearts.
7 0
3 years ago
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0
3 years ago
X^2+ 6x - 4 = 3x + 6
jolli1 [7]

Answer:

x=2

x=-5

Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

5-2 = 3 and 5*-2 = -10

Factoring x^2+3x-10 gives us (x-2)(x+5)

x=2

x=-5

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3 years ago
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