Express in the form n : 1
9:3​

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

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Answer:

The answer is 6.762 pounds.

Step-by-step explanation:

2.12 + 1.45 + 3.19 20 = 6.762.

Answer:

Y axis

Step-by-step explanation:

Answer:

Y axis

Step-by-step explanation:

Answer:

[tex](y - 1)(x + y + 1)[/tex]

Step-by-step explanation:

[tex]y(x + y) - 1(1 + x)[/tex]

Lets expand it.

[tex] = > xy + {y}^{2} - x - 1[/tex]

Lets re-arrange it.

[tex] = > xy - x + {y}^{2} - 1[/tex]

Lets split [tex] {y}^{2} - 1[/tex]

So,

[tex] = > x(y - 1) + (y + 1)(y - 1)[/tex]

[tex] = > (y - 1)(x + y + 1)[/tex]

Answer:

hope it helps you have a great day keep smiling be happy stay safe

Answer:

Total: $60.66

Step-by-step explanation:

tip: $52.75 x 0.15 = $7.91

tip+bill: $52.75 + $7.91 = $60.66

Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.

======================================================

Explanation:

The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.

Multiply both parts by x to get 2x:3x

We have 2x parts of blue paint, and 3x parts of yellow paint.

x is some positive whole number.

In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get

5x = 38

x = 38/5

x = 7.6

We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.

-------------------------

Here's another way to look at it:

Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.

Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.

We continue this process to get the following

As you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.

This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.

The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.

The radius of a circle is 5.

Also, the center of a circle is (h,k) = (6,-2)

So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]

Simplify further the above equation.

[tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Hence, option (D) is correct.

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Answer:

The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.

Step-by-step explanation:

Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.

Answer:

Seeds with wings

Hitchhikers

Going with the flow

help from animals

Step-by-step explanation:

Answer:

[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)

[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)

[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)

[tex]\frac{283}{24}[/tex]  (this is improper, so you need to convert back to mixed by dividing)

[tex]11\frac{19}{24}[/tex] (this is your answer)

Answer:

the statement that shows that 49 is a perfect square 49 is equal to 7 times 7

Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

2. Reflexive Property

3. Alternate Interior Angles

4. SAS

Answer:

x=9

Step-by-step explanation:

x/3=3

1. Multiply both sides by 3

x/3 * 3 = 3*3

2. 3 and 3 cancel out

x=9

Answer:

What's the question?

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation: If you find a common denominator ( i found 135 ) and you multiply each numerator by the number u multiplied the denominator to get the common denominator, you can see that 5/9 is greater. hope this helps and sorry if that was confusing

Answer:

5/9 is greater

Step-by-step explanation:

As numerator of second ratio is greater, Hence, 5/9 is greater.

Answer:

5n - 2n - 3 + n

3n - 3 + n

3n + n = 3

4n = 3

N= 4 ➗ 3

N = 1.33

Step-by-step explanation:

Answer:

3       1

–  = ——

9       3

Step-by-step explanation:

I simplified it as well.

Answer:

7 Weeks

Step-by-step explanation:

Each week is 105 because 1500*.07=105

Then through the process of elimination I found it would take 7 weeks.

Answer:

25% chance

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

Answer: y = 0 - 4

Step-by-step explanation:

Answer:

A(5,6)

D(-2,-2)

E(3,-4)

F(2,-6)

Answer:

Step-by-step explanation:

A=(5,6)

D=(-2,-2)

E=(3,-4)

F=(2,-6)

Answer:

$2

Step-by-step explanation:

First, we find the total he spent on the three pencils.

$24 - $18 = $6

He spent $6 on the 3 pencils.

Now we find how much each pencil cost.

$6/3 = $2

Answer: $2

Answer:

Each pencil cost 2$

First I did what he has to spend 24 then subtracted 18 from it what he had left that gave me 6. Next knew that he had bought three pencils so I did 6 divided by 3 and that left me with an answer of 2 so 2$

Hope this helped and if its not a problem could i gt brainliest?

Buying bags of apples from orchard will be the better deal.

Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.

[tex]price of one item=\frac{total price }{total number of items}[/tex]

According to the given question

At the market:

Cost of 6bags of apples=$31.02

⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]

At the orchard:

Cost of 5bags of apples =$25.40

⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08

Therefore, unit price of a bag of apples from orchard  is less as compared to the bag of apples from market.

Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.

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Answer:

About 7 miles a day?

Step-by-step explanation:

53.2-10= 43.2

43.2 divided by 6 is  about 7.6. I’m just in middle school though :)

Colton will have to ride 7.2 miles per day on other to hit his target.

Total miles to ride = 53.2

Miles ridden already = 10 miles

Number of days left to ride = 6 days

The average ride per day will be:

Hence, Colton will have to ride 7.2 miles each day.

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Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

Answer:

32.5%

Step-by-step explanation:

26/80*100

0.325*100

32.5%

Hope this helps. Have a nice day you amazing bean child.