Help me with this please?!This is a mathematics packet

A discount of 16% saved Jackie $38 on office supplies. What was the price of the supplies before the discount?

zloy xaker [14]

16 % = 38

(16 × 6 = 96

16 / 4 = 4 so = 38/4 = 9.5)

100% = 38*5 + 9.5

=199.5

3 0

3 years ago

4 1/3 What is the value of this equation?

sweet [91]

Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

5 0

3 years ago

A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the

jonny [76]

a) The slope of the secant lines are: q = 5, f(q) = 2,076: m = - 131.1, q = 10, f(q) = 1,299: m = - 106.8, q = 20, f(q) = 357: m = - 81.6, q = 25, f(q) = 84: m = - 68.1, q = 30, f(q) = 0: m = - 51.

b) The estimated slope of the line tangent to the curve at the point (x, y) = (15, 765) is - 94.2 gallons per minute.

<h3>How to estimate the slope of a tangent line by averaging two adjacent secant lines</h3>

In this problem we must determine the slope of several lines based on the information given by the table and using the secant line formula:

m = [f(q) - f(p)] / (q - p) (1)

If we know that a = 15 and p = 765, then the slope of the secant lines are:

q = 5, f(q) = 2,076

m = [2,076 - 765] / (5 - 15)

m = - 131.1

q = 10, f(q) = 1,299

m = [1,299 - 765] / (10 - 15)

m = - 106.8

q = 20, f(q) = 357

m = [357 - 765] / (20 - 15)

m = - 81.6

q = 25, f(q) = 84

m = [84 - 765] / (25 - 15)

m = - 68.1

q = 30, f(q) = 0

m = [0 - 765] / (30 - 15)

m = - 51

The slope of the line tangent to the curve at the point (x, y) = (15, 765) can be estimated by averaging the slopes of the closest secant lines:

m' = [(- 106.8) + (- 81.6)] / 2

m' = - 94.2

The estimated slope of the line tangent to the curve at the point (x, y) = (15, 765) is - 94.2 gallons per minute.

To learn more on tangent lines: brainly.com/question/23265136

#SPJ1

8 0

2 years ago

Which shows the correct substitution of the values a, b, and c from the equation -2=-x+x^2-4 into the quadratic formula?

Greeley [361]

Given the equation:

(1) $-2=-x+ x^{2}-4$

We need to find a, b and c. So, we know that a quadratic equation is given by:

(2) $ax^{2}+bx+c=0$

Then, we need to order the equation (1) and to adjust it to the equation (2), so:

$x^{2}-x-2=0$

So, if we compare these two equations, the conclusion is:

$a=1$
$b=-1$
$c=-2$

(3) $x= \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

Substituiting a, b and c into (3):

$x= \frac{-(-1)\pm \sqrt{(-1)^{2}-4(1)(-2)}}{2(1)}$

Finally, the results are two values:

$x_{1}=2$
$x_{2}=-1$

7 0

3 years ago

Read 2 more answers

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d

LuckyWell [14K]

The average money spent would be 74.62

3 0

4 years ago