Answer:
16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

Answer:
75 hours

1200 coffees/16 coffees= 75 hours

1200 coffees/16 coffees= 75 hours

Sarah and her three friends are decorating picture frames with ribbon. They have 3 rolls of ribbon to share evenly. How does this situation represent division?

Write an equation in the form of y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45).

State the next term of each sequencea) 1, 16, 81, 256....b) 1, 1, 2, 4, 7, 13, 24....

A garden has 2500 trees. Out of which, 15 percent are Orange trees, 30 percent are mango trees, and the rest are lemon trees. Find the number of each variety of tree. a) Orange trees: 375, Mango trees: 750, Lemon trees: 1375 b) Orange trees: 400, Mango trees: 800, Lemon trees: 1300 c) Orange trees: 450, Mango trees: 900, Lemon trees: 1150 d) Orange trees: 500, Mango trees: 1000, Lemon trees: 1000

WRITE EQUATION OF THE LINE PASSING THROUGH THE POINTS (5,4) AND (-6.3) Y=

Write an equation in the form of y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45).

State the next term of each sequencea) 1, 16, 81, 256....b) 1, 1, 2, 4, 7, 13, 24....

A garden has 2500 trees. Out of which, 15 percent are Orange trees, 30 percent are mango trees, and the rest are lemon trees. Find the number of each variety of tree. a) Orange trees: 375, Mango trees: 750, Lemon trees: 1375 b) Orange trees: 400, Mango trees: 800, Lemon trees: 1300 c) Orange trees: 450, Mango trees: 900, Lemon trees: 1150 d) Orange trees: 500, Mango trees: 1000, Lemon trees: 1000

WRITE EQUATION OF THE LINE PASSING THROUGH THE POINTS (5,4) AND (-6.3) Y=

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

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**Answer:**

cot(-270) = 0

**Step-by-step explanation:**

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

**trigonometry table**

** II quadrant I quadrant ( All positive) **

** sin θ 90+θ 90 -θ**

** cosec**** θ **** 180-θ 360+θ**

** third quadrant fourth quadrant**

** tan θ 180+θ cos θ 270+θ**

** cot θ 270 - θ sec θ 360-θ **

**Given**

**cot (-270) = -cot ( 270) **

** = - cot ( 180 + 90) (third quadrant above table)**

** = -cot 90 =0 ( cot θ positive in third quadrant**

**Final answer****:-**

**cot(-270) =0**

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are **0 **and **1**, respectively.

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is **undefined**.

#SPJ12

a. True

b. False

If the lines are parallel to each other, it won't intersect. It means that we can't get any intersect point by solving equations. There is no coordinate which satisfy both lines.

-- When Riko left the house, Yuto was 5.25 miles ahead of her.

-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto

every minute ... closing the gap at the rate of 0.1 mile per minute.

-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.

-- Riko is behind her brother when 0 ≤ t < 52.5 minutes .

-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto

every minute ... closing the gap at the rate of 0.1 mile per minute.

-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.

-- Riko is behind her brother when 0 ≤ t < 52.5 minutes .

**Answer:**

52.5

**Step-by-step explanation:**

e2020

2.) (0,1) , (-1,0) , (1,2) , (3,2)

3.) (2,3) , (3,4) , (4,5) , (5,6)

4.) (2,3) , (2,4) , ( 4,5) , (4,6)

b. not spend too much time shopping online while researching.

c. evaluate carefully that the sources are reliable and credible.

d. realize it is the most time-saving method.

C. evaluate carefully that the sources are reliable and credible

**Answer:**

**Answer D**

**Step-by-step explanation:**

The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by **the graph** provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].

The solution to 2x³ – 3x² ≥ 14x can be found by solving the **inequality**. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.

Based on the description of the graph, the function increases in the intervals *(-2, -1)* and *(3.5, ∞)* and decreases in the interval *(-1, 3.5)*. So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].

#SPJ3