Faye can sort 150 recyclable item minutes, how many recyclable items can Faye sort in 4 minutes

Please give me the correct answer

Ganezh [65]

Answer:

PQ = 5 units

QR = 8 units

Step-by-step explanation:

Given

P(-3, 3)

Q(2, 3)

R(2, -5)

To determine

The length of the segment PQ

The length of the segment QR

Determining the length of the segment PQ

From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.

so

P(-3, 3), Q(2, 3)

PQ = 2 - (-3)

PQ = 2+3

PQ = 5 units

Therefore, the length of the segment PQ = 5 units

Determining the length of the segment QR

Q(2, 3), R(2, -5)

(x₁, y₁) = (2, 3)

(x₂, y₂) = (2, -5)

The length between the segment QR is:

$l=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-2\right)^2+\left(-5-3\right)^2}$

$=\sqrt{0+8^2}$

$=\sqrt{8^2}$

Apply radical rule: $\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=8$

Therefore, the length between the segment QR is: 8 units

Summary:

PQ = 5 units

QR = 8 units

8 0

3 years ago

Select the correct answer.

babymother [125]

The answer would be - B. All real numbers

3 0

3 years ago

A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication departments has at most 107 hours of labor availa

Elina [12.6K]

Answer: A

Step-by-step explanation: Canoe → 8h →X

Rowboat → 5h → Y

Fabrication department has at most 107, which means it need to be <u>less</u> than 107 hours.

This way, the amount of time to fabricate X canoes = 8X plus the amount of time to fabricate Y Rowboat = 5Y must be less than 107.

8X + 5Y < 107

6 0

4 years ago

(2.5 x 10^9) + (5.3 x 10^8) = (2.5 + 5.3) x (10^9 x 10^8

makvit [3.9K]

Answer:

Read below.

Step-by-step explanation:

Wrong:

(2.5 x 10^9) + (5.3 x 10^8) =

(2.5 + 5.3) x (10^9 x 10^8) =

7.8 x 10^7=

7.8 x 10,000,000=

780,000,000

<u>Bold is edited by me</u>

Correct:

(2.5 x 10^9) + (5.3 x 10^8)=

(2.5 x 1,000,000,000)+(5.3 x 100,000,000)=

2,500,000,000+5,300,000,000=

7,800,000,000

The problem is that whoever wrote it swapped the numbers in the parentheses, added a pair of them together and multiplied the other pair. You are not supposed to take out the pairs and swap them if you'd like or the answer is incorrect. Second mistake is that $10^{9} * 10^{8}$ is not $10^{7}$ I do not know how and where you got that answer from.