eric studied for 17.5 hours for a period of 4.5 days. On the average, how much did he study each day?

The basketball team at Martin Luther King High School won 12 of its first 15 games. Then it won its next 3 games. The percent of

aliya0001 [1]

12/15 games have been won then they won 3 which makes it then 15/18 because the denominator is how many games they've played while the numerator is how many games they one.

$\frac{15}{18} = \frac{x}{100}$
Cross multiply both...
$1500=18x$
divide each side by 18 to make the x by itself
Which gives you x=83.333%

4 0

4 years ago

Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha

Alina [70]

<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

$b + (c \times s)$

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales $\geq$ 2500

$900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500$

Solve the inequality

$0.05s\geq 2500-900\\\\0.05s \geq 1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000$

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

8 0

3 years ago

Find and simplify each of the following for

WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

(C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find $\frac{f(x+h)-f(x)}{h}$

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}$

- Simplify by separate the three terms

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}$

∴ $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

* (C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

4 0

3 years ago

How many times does 10 go into 100

gayaneshka [121]

Answer:

The answer would be 10. Multiply 10 by 10 you'll get 100.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Write an algebraic expression for each word expression. Then evaluate the expression for these values of the variable : 1/2,4,an

Yuki888 [10]

Answer:

1)p/4,2,1,1.625 2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

1/2 divided by 4=2

4/4=1

6.5/4=1.625

2) x+1

1/2+1=3/2

4+1=5

6.5+1=7.5

7 0

3 years ago