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2 years ago

8

For which of the following compound inequalities is there no solution? x < 3 and x ≥ 5 3 < x ≤ 5 x < 3 and x ≤ 5 x <

3 or x ≥ 5

1 answer:

Dahasolnce [82]2 years ago

3 0

Answer:

are there letter choices

Step-by-step explanation:

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At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300

Misha Larkins [42]

Answer: 2000

Step-by-step explanation:

At a football game, 65% of people that will attend are supporting the home team, while 35% are supporting the visiting team. 1300 people that attended supported the home team.

To get the total number of people that attended the game, we have to find the number of away supporters as well.

Let the number of people that attended the game be y.

Therefore 65% of y = 1300

65/100 × y = 1300

0.65 × y = 1300

0.65y = 1300

Divide both side by 0.65

0.65y/0.65 = 1300/0.65

y = 2000

The total number of people attending the game is 2000.

8 0

3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 5 ft long with a diameter of 1.8 ft .

dangina [55]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius=\frac{diameter}{2}\\
h=height\\
----------\\
diameter=1.8\\
r=\frac{1.8}{2}=0.9\\
h=5
\end{cases}\implies V=\pi \cdot 0.9^2\cdot 5\\\\
-------------------------------\\\\
\textit{is draining at }\boxed{2.1}\ \frac{ft^3}{min}\textit{ , it has a total of }\boxed{\pi \cdot 0.9^2\cdot 5} \ ft^3
\\\\\\
\textit{it'll take }\cfrac{\pi \cdot 0.9^2\cdot 5}{2.1}\ minutes$

3 0

2 years ago

URGENT: Amy and Lucy were doing a craft involving yarn. Amy cut a piece of red yarn that was 4 1/3 inches long, and Lucy cut a p

Jlenok [28]

Answer:

1 11/15

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Sam and Sully are electricians. The graph represents the amount in dollars that Sam charges in terms of the number of hours he w

creativ13 [48]

Answer:

The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.

A graph is attached for reference.

Step-by-step explanation:

Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.

Where two points are (0,40) and (1,60).

Finding the slope,

$m=\frac{(y2-y1)}{(x2-x1)} \\m=\frac{(60-40)}{(1-0)} \\m=\frac{20}{1} \\m=20$

Let us find the equation now,

$y-y1 = m(x-x1)$

Substituting (0,40) as (x1,y1) and slope m = 20

$y-40=20(x-0)\\y-40 = 20x\\y= 20x+40$

Here the 'y' intercept $40$ represents the initial charge of Sam.

On comparing the equations of Sam and Sully we observe that Sam initial charge is $40$ dollars.

And Sully's initial charge is $36$ dollars.

Thus Sam's initial charge is $4 greater than Sully's.

Similarly,

Slope represents their per hour charge.

The coefficient of 'x' represents their slope,

Slope in case of Sam,

$y=20x+40$ is $'20'$

And

Slope in case of Sully,

$y=22x+36$ is $'22'$

Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.

4 0

3 years ago

D(n)= <br> 16<br> 5<br> <br> (2) <br> n−1

Dmitrij [34]

Answer:

See explanation

Step-by-step explanation:

Assuming you want to find the 3rd term of the geometric progression defined explicitly by $d(n)=165(2^{n-1})$ , then we have to substitute n=3 to obtain:

$d(3)=165(2^{3-1})$

This will give us:

$d(3)=165(2^2)$

We evaluate to obtain:

$d(3)=165\times4=660$

7 0

3 years ago