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professor190 [17]
3 years ago
7

Find two consecutive even integers such that the sum of the smaller and 3 times the larger is 330

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

The 2 numbers = 81 and 83

Step-by-step explanation:

As, one number = x

The other, because it's an even number and consecutive = x + 2

So the larger numbef here is x + 2

And they are saying 3 times x + 2 plus x = 330

So let's solve!

3 times x + 2 = 3(x+2) = 3x + 6

So we will add it to x = (3x + 6) +(x) = 4x + 6

So they are saying the sum of them will be 330

So, 4x + 6 = 330

4x = 330 - 6

4x = 324

x = 324/4

x = 81

So x is the first number = 81

And the second is x + 2 = 81 + 2 = 83

So the 2 numbers are 81, 83

Lets check!

3 times the bigger number = 83 x 3 = 249

We will add it to 81 and we will get 330

So, 249 + 81 = 330

So the answer is right

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2. Tennis rackets can be packaged in cartons holding 2 rackets cach or in
Liula [17]

Answer:

There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets

Step-by-step explanation:

Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y

∵ There are x cartons of 2 rackets

∵ There are y cartons of 3 rackets

∵ They used 38 cartons

∴ x + y = 38 ⇒ (1)

∵ They packed a total of 100 rackets

∴ 2x + 3y = 100 ⇒ (2)

Let us solve the system of equations

→ Multiply equation (1) by -2 to make the coefficients of x in

   the equations equal in values and different is signs

∵ -2(x) + -2(y) = -2(38)

∴ -2x - 2y = -76 ⇒ (3)

→ Add equations (2) and (3)

∴ y = 24

→ Substitute the value of y in equation (1) or (2) to find x

∵ x + 24 = 38

→ Subtract 24 from both sides

∴ x + 24 - 24 = 38 - 24

∴ x = 14

There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets

7 0
3 years ago
Solve tan^2 (x) + 3 = 0 for 0 ≦ x < 360∘
creativ13 [48]

Answer:

d) none of the above

Step-by-step explanation:

correct me if wrong .

6 0
3 years ago
Help me Please help please
MA_775_DIABLO [31]
The answer is 37/6 or by decimal form 6.16
3 0
3 years ago
How can I find the inverse function of Y=3x+2? My friend and I have different answers and we don't know who's right or wrong. I
Sophie [7]

The inverse of this function is y = \frac{x - 2}{3}

In order to find the inverse of any function, you must start by switching the y and x terms. After doing so, you can then solve for your new y. The result will be the inverse function. The work for this one is done below for you.

y = 3x + 2----> switch the x and y

x = 3y + 2 ----> subtract 2

x - 2 = 3y ----> divide by 3

\frac{x - 2}{3} = y ----> switch the order for consistency

y = \frac{x - 2}{3}

This is now your inverse function.

5 0
4 years ago
Read 2 more answers
A boat costs $19,200 and decreases in value by 18%. How much will the boat be worth after 5 years
SpyIntel [72]

You need to be more specific: Is that 18% over 5 years or is it 18% per year for 5 years?


If over 5 years, then the value after 5 years would be (1.00-0.18)($19,200), or

$15,744.

7 0
3 years ago
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