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Korvikt [17]
3 years ago
9

Two consecutive positive numberside are such that the sum of their squares is 113. Find the two numbers

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

the two consecutive numbers are 56 and 57

x+x+1=113

2x+1=113

2x=113-1

2x=112

x=112/2

x=56

therefore, x=56

x+1= 56+1= 57


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4 0
3 years ago
A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6
Crazy boy [7]

Answer:

To raise exactly $240, the charity needs to sell 20 snacks.

Step-by-step explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

24s+6y=240

If 5 seats are sold, then

24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line 24s+6y=240 and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.

5 0
3 years ago
Which represents the solution set of inequality 5x-9 <21
Crank

Answer:

x

All real numbers less than 6

Step-by-step explanation:

we have

5x-9

Adds 9 both sides

5x-9+9

5x

Divide by 5 both sides

x

the solution is the interval ---------> (-∞,6)

All real numbers less than 6

see the attached figure to better understand the problem

5 0
4 years ago
Read 2 more answers
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
timofeeve [1]

Answer:

No value of x makes the equation true.

Step-by-step explanation:

Here are the choices which are missing in the question:

a) Amaya made a mistake because 4 is not equal to 5

b) No value of x make the equation true.

c) All value of x make the equation true.

d) The solution is x= 4 or 5

Given equation is 8x+4=9+4(2x-1)

Now, solving the equation:

8x+4=9+4(2x-1)

distributing 4 with both 2x and -1

⇒8x+4= 9+8x-4

⇒8x+4= 5+8x

Subtracting both side by 8x

∴ 4=5

The result indicate that equation has the same result and x has no value.

4 0
3 years ago
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myrzilka [38]

Answer:

Step-by-step explanation:

The original distance that Angel wanted to walk will be represented as A

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Example:

I decide to work for A hours today as a challenge. Within this time I'm working I decided to extend my goal another B hours.

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