4. Find the value of a, for which point p (a/3,2) is the midpoint of the line segment
joining the points Q (-5, 4) and R(-1,0).​

Answer:

1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

We will have 1 solution set when the lines cross once.

We will have no solutions when the lines are parallel.

We will have infinite solutions when the lines are the same.

According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.

Answer:

1

Step-by-step explanation:

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

Solution  :

It is given that the time required by a company to built the fencing = 4 hours

The length of fenced completed in 1 hour = 1.6 mile

Now by using the double number line to find the length of the fence, we would :

-- We have to draw two parallel straight lines.

-- Let the 1st line represents the time measured in hours and the 2nd line represents the distance or length measured in miles.

-- Mark four marks of equal spacing in both the line so that each mark represents 1 hour in the 1st line and each mark in the 2nd line represents the corresponding lengths.

-- Now in hour, they completed 1.6 miles, therefore from the double number line, we can see that in 4 hours, they completed 4.6 miles of fencing.

Hence the length is 4.6 miles.

Answer:

https:brainly.com/question/20068899

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The common ratio r is calculated as

r = [tex]\frac{14}{28}[/tex] = [tex]\frac{7}{14}[/tex] = [tex]\frac{3.5}{7}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

1/2 is the common ratio of the sequence

Answer:

[tex]Arrival\ Time = 5:30\ pm[/tex]

Step-by-step explanation:

Given

[tex]Current\ Time = 4pm[/tex]

[tex]Speed = 70mph[/tex]

[tex]Distance = 105miles[/tex]

Required

Determine the arrival time

First, we calculate the time taken from Belfast to Dublin using:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values to the expression.

[tex]70 = \frac{105}{Time}[/tex]

Cross Multiply

[tex]70 * Time = 105[/tex]

[tex]Time = \frac{105}{70}[/tex]

[tex]Time = 1.5\ hour[/tex]

Arrival time is then calculated as:

[tex]Arrival\ Time = Current\ Time + Time\ Taken[/tex]

[tex]Arrival\ Time = 4pm + 1.5\ hour[/tex]

[tex]Arrival\ Time = 5:30\ pm[/tex]

Answer:

We conclude that the number of milligrams of the vitamin in the drink will be: 48 mg

Step-by-step explanation:

The amount of certain Vitamin = 40 mg

Given that a new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG.

Thus,

The number of milligrams of the vitamin in the drink:

120% of 40

= [120/100] × [40]

= 1.2 × 40

= 48

Therefore, we conclude that the number of milligrams of the vitamin in the drink will be: 48 mg

Answer:

Y=28x

Step-by-step explanation:

Divide 420/15 224/8 140/5 which will equal 28 as the constant rate.

so, y=28x.    It would be y=kx but k =the constant so 28 will fill that spot in.

Y=28x

v=pi.r^2.h

v=3.14×7×7×3.5

v=538.51 cubic meter

1cubic meter=1000 litre

so v=538510 litre

Answer:

Step-by-step explanation:

You need to multiply the amount of counselors by 8 to find the total amount to find the number of campers.

Answers: 32, 40

Answer:

32 & 40

I hope it will be useful.

Step-by-step explanation:

Look at the sequence. It follows the result to be 1:8

Thus, you have to multiply the numbers by 8 to get the denominators i.e., 4*8 & 5*8

Answer:

1 sur 4 est équivalent.

Step-by-step explanation:

J'espère que cela aide !! Puis-je avoir la couronne?

4/16 et être réduit à 1/4!

Answer:

(-3,1),(1,6),(-1,0)

Step-by-step explanation:

Answer: last option. 9.2

Step-by-step explanation:

The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.

Answer:

You need 3/10 buckets of nuts to fill the barrel.

Step-by-step explanation:

We know that 1/5 of a bucket of nuts, fills 2/3 of the barrel.

Then how much we need to fill the other 1/3 of the barrel?

1/3 = (2/3)/2

Then we need half of 1/5 buckets of nuts, this is:

(1/5)/2 = 1/10 buckets of nuts.

Then we need in total:

1/5 + 1/10 buckets of nuts.

we can multiply and divide the left fraction by 2, to get:

(2/2)*(1/5) + 1/10 = 2/10 + 1/10 = 3/10

You need 3/10 buckets of nuts to fill the barrel.

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

                                                         = [70/100] × 90

                                                          = 0.7 × 90

                                                           = 63

Therefore, we conclude that Kiera got the right 63 questions.

Answer: 3

Work: This is simple division, I just did $2.25 divided by $0.75, and I received the answer 3.

I hope this helps, and Happy Holidays! :)

Answer:

You bought 3 items.

Step-by-step explanation:

All we have to do is multiply $0.75, the amount of the cost of the item, by the amount that you paid.

So:

0.75 × 2.25 = 3

Answer:

Answer: The car will travel 29 1/3 miles in 44 minutes, 40 miles in an hour

Step-by-step explanation:

1 1/2x2 1/4 = 2/3

Multiply that by your minutes (25) and you will get 16.6666

Convert to a fraction and u will get 16 2/3 miles in 25 minutes

40 miles in an hour

Answer:

Equation 2

is the answer

Step-by-step explanation:

To calculate the time for a full charge, you would divide the time already charged by the amount of charge:

1/3 / 2/5 = 1/3 x 5/2 = 5/6 of an hour for full charge.

You could use 2 and 4 to find the time.

Answer:

11 and 12

Step-by-step explanation:

AD is opposite BC so they're equal, and DC is opposite AB so they're the same.

Answer:

11, 12

Step-by-step explanation:

plato answer just took test

Answer:

30,000_10,000=20,000

Answer:

A = 1120

Max # of ppl = 80

Step-by-step explanation:

A = 28*40

A = 1120

Max # of ppl = 1120/14

Max # of ppl = 80

hope this helps, pls mark brainliest :D

Answer:

around 450

hope that helps,but you'll have to be there to fully answer that question

:)

Answer:

15). is done

16).

[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ = \frac{2 - ( - 2)}{ - 3 - 9} \\ = \frac{4}{ - 12} \\ slope = - \frac{1}{3} [/tex]

Answer:

B. Yes, because 6 + 11 ≠ 13.

Step-by-step explanation: So for this one, you have to add two numbers and if the third number is bigger it is a possible construct but if it less than the third number than it is not a possible construct. So 6+ 11 = 17 (its good so far) 11 + 13 = 24(its good so far) 13 + 6 = 19( its good so far) everything checks out that means B is right. And also it is not D because that is saying 6 + 11 is less than 13 which is wrong. Hope this helps someone :)

Answer:

42

we can use trigonometric ratios (cos, sin, tan) to solve this

[tex]cos(54)=AD/20\\20cos(54)=AD\\AD=12\\[/tex]

Using the pythagorean theorum we see that BD is 16

now we can use tan to solve for DC

[tex]tan(28)=16/DC\\DC=16/tan(28)\\DC=30\\30+12=42; AC=42[/tex]

Step-by-step explanation:

Step-by-step explanation:

30.53

loooooooooooooooooooooool

Answer:On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation: