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3 years ago

Jeff is 18 years older than Joe, and Jeff is also 2 1/2 times as old as Joe. How old is Joe?

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

7 years

First of all, half of 18 is 9, and if you divide 18 by 2.5, it results in 7.2. I hope this helps!

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-5x+10x+3=5x+6<br> Along with an explanation please.

vitfil [10]

There is no solution to this equation

X≠0

The answer would be 3=6 which is an invalid answer therefor an equation with no solution.

-5x+10x+3=5x+6

Combine like terms first

5x+3=5x+6

After this whether you make it 10x=9 that’s still an invalid answer but if you subtracted 5x on both sides it’d be 3=6

Therefore x≠0

7 0

4 years ago

3.1.3 How far was the hiker at 10:30?

umka21 [38]

Answer:

$y = 1400 + 5.2x$ --- Running cost

$y = 25 x$ --- Monthly income

71 cars

R1775

Step-by-step explanation:

Given

Expenses

$Salaries = 1400.00$

$Others = 5.20$ per car

Income

$Rate = 25.00$ per car

Solving (a): Expression for the running cost

This is calculated as:

$y = Salary + Others * x$

Where

y = Total running cost

x = number of cars

So:

$y = 1400 + 5.20 * x$

$y = 1400 + 5.2x$

Solving (b): Expression for monthly income

This is calculated as:

$y = Rate * x$

Where

y = Total income

x = number of cars

So:

$y = 25.00 * x$

$y = 25 x$

Solving (c): Break even

To do this, we equate the expressions in (a) and (b)

$y = y$

$25x = 1400 + 5.2x$

Collect Like Terms

$25x -5.2x= 1400$

$19.8x= 1400$

Solve for x

$x = \frac{1400}{19.8}$

$x = 71$

Solving (d): How much to break even

Substitute 71 for x in any of (a) or (b)

$y = 25 x$

$y = 25 * 71$

$y = 1775$

<em>Solving (e): There is no question to answer on the "graph"</em>

5 0

3 years ago

The surface area of the right rectangular prism with dimensions shown is 160 cm2 the figure is not to scale. what is the height

ivanzaharov [21]

80 centimeteeerrrssss

6 0

3 years ago

Which of these is scientific notation?

Vlad [161]

Answer:

1.2×10^3

Step-by-step explanation:

so there it is

8 0

3 years ago

Write the first five terms of a sequence. Don't make your sequence too simple. Write both an explicit formula and a recursive fo

Marina CMI [18]

Let the first five terms of a sequence be, 4,8,12,20,24

Ok, let me explain the meaning of term explicit and Recursive formula.

Explicit formula ,is the general formula to find any term of the sequence.

And, Recursive formula, is the method by which, we can find the nth term of the sequence if (n-1)th term of the sequence is known.

So,the explicit formula for the sequence is,

y = 4 n, where , n is any natural number.

And the recursive formula is .

y = 4 (n-1), with the help of (n-1)th term we can find nth term.

First term =4=4 × 1

Second term =8 =4 × 2

Third term =12=4×3

Fourth term =16 =4 × 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

Applying the simple procedure by looking at the first , second and the way the next term goes , the general and recursive formula is obtained.

As, you said you don't want simpler sequence

Consider the first five terms of the sequence, 0, 3,8,15, 24.

Explicit formula =n² + 2 n

Recursive formula=(n-1)²+2(n-1)

If,you will look at the sequence, it is neither Arithmetic nor geometric .

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

Fourth term =15=9+6=3²+2×3

Fifth term =24=16 +8=4²+2×4

So, Explicit formula= n²+ 2 n, where n is a whole number.

HOPE THIS HELPS!

7 0

3 years ago

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