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mihalych1998 [28]

3 years ago

7

The sum of 2 consecutive numbers is 37. Find the numbers. If x represents the smaller integer, then the larger integer is

1 answer:

NARA [144]3 years ago

6 0

Answer:

x + 1

Step-by-step explanation:

There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.

To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.

15 + 16 = 31

These numbers are too low, as they should add to 37. Let's try 18 and 19.

18 + 19 = 37

There are the two correct numbers. If x = the smaller number, x = 18.

18 + 1 = 19

Since this is correct, we know for sure that the answer is x + 1.

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The cost in dollars y of producing x computer desks is given by y=80x+6000

Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

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Which ordered pair is a solution of the equation?

Tpy6a [65]

I need help too please

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The Hudson Valley Stadium Renegades has a capacity of maximum 4,505 people. During a the peak of its popularity, the tickets sol

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3 years ago

Is ( 0,0) a solution to this system? y<=x^2-4 y>2x-1?

Xelga [282]

Answer:

The point $(0,0)$ is not a solution of the system of inequalities

Step-by-step explanation:

we have

$y\leq x^{2} -4$ -----> inequality A

$y> 2x-1$ -----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must be satisfy the inequalities of the system

Verify

For $x=0, y=0$

substitute the value of x and the value of y in the inequalkity A and in the inequality B

Inequality A

$0\leq 0^{2} -4$

$0\leq -4$ -------> is not true

therefore

The point $(0,0)$ is not a solution of the system of inequalities

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alexandr1967 [171]

Answer: 6.250

Step-by-step explanation:

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