Describe a pattern in each sequence. What are the next two terms of each sequence? 2, 4, 8, 16,.

Abdullah earns $10 an hour delivering newspapers on his bicycle . He started with $20 in his bank account. what is the rate and

elixir [45]

Explanation:

The equation for this problem can be modeled in y = mx + b form.

m represents the rate of change and b represents the initial value or constant.

y = 10x + 20

x represents the number of hours he spent delivering newspapers

y is his total money after whatever number of hours he worked

The rate is 10, because it determines how much money he earns for each hour.

The y-intercept is 20, representing the starting amount of money in his bank account.

6 0

3 years ago

Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29

andre [41]

Notice* No options are provided, so I will solve the expression.

Answer:

$\frac{125x+96}{4}$

Step-by-step explanation:

Step 1: Simplify $\frac{4}{5}$

Step 2: Rewriting the whole as an Equivalent Fraction

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

5x = 5x/1 = 5x * 5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4) 25x - 4

-------------- = ---------

5 5

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4 125x + 96

--------------------------- = -----------

4 4

Final result :

125x + 96

—————————

4

___________

Terms and topics:

Dividing exponents
Polynomial roots
Nonlinear equations
Equations which are reducible to quadratic
Reducing fractions to lowest terms

7 0

2 years ago

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

TiliK225 [7]

For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.

8 0

3 years ago

What is the square root of 55

nikitadnepr [17]

$\sqrt{55 } = 7.41.....$
It is non recurring number

Hope it helps you

3 0

3 years ago

The population of a city is 45,000 and decreases 2% each year. If the trend continues, what will the population be after 15 year

Sloan [31]

The answer is 31,500.
Let's clarify some things :
1% of 45,000 is 450
Maybe you're wondering why , it's actually very simple .
Just move the decimal to the left once if you want to find 10% , move the decimal twice if you want to find 1%.
We now that 1% equals 450. Then 2% equals to....
Well just add another 1% .
450 + 450 or 450 times 2
Which equals 900.
Now we want to find what's the population after 15 years.
900 times 15= 13,500
But that's not the answer ....
That's what is decreasing.
45,000 - 13,500= 31,500
That's why the answer is 31,500.

4 0

3 years ago