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3 years ago

Question 9 PLS it would mean alot

Mathematics

1 answer:

Bas_tet [7]3 years ago

5 0

Answer:

7 1/2 minutes

Step-by-step explanation:

Question 9

<u>From the previous question we know that:</u>

The rate of draining = 2/3 gal/min
Remaining water = 5 gal

<u>Time to empty the tank is:</u>

5 : 2/3 =
5 * 3/2 =
15/2 =
7 1/2 minutes

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3. Jason uncle buys a 1.5 pound bag of pencils for the beginning of the year. He puts 1/2 of the pencils in a box. If Jason gets

Tems11 [23]

The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.

<h3>What is the sharing ratio?</h3>

The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.

Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).

<h3>Data and Calculations:</h3>

Quantity of pencils bought = 1.5 pounds

Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)

The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)

Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.

Learn more about sharing ratios and ratios at brainly.com/question/26254916

#SPJ1

4 0

2 years ago

If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

3 years ago

Item 20 A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles

Digiron [165]

Answer:

A) total distance covered = 60miles

B) total time taken = 4hrs 30 mins

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below

5 0

3 years ago

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Graph the inequality on a number line

pantera1 [17]

I’m in middle school

4 0

4 years ago

Find the slope of the line below . Enter your answer as a fraction or decimal. Use a slash mark ( / ) as the fraction bar if nec

natali 33 [55]

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line given two points by using the following

m = ( y2-y1)/(x2-x1)

= ( 3-0)/(7 - -8)

= ( 3-0)/(7+8)

= 3/15

= 1/5

7 0

3 years ago

Read 2 more answers