The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.65 Newtons when the distance between the objects is 4 metres. Work out F (rounded to 2 DP) when d = 7 metres.

Answer:

A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.

Answer:

What is your question. Please refer to a single question.

Answer:

-14

Step-by-step explanation:

so we see -30-(-16)=-30+16=(-14)

hope it helps you

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Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

3w+2n-8w+3 I think but don't get me wrong

Answer: 15%

Step-by-step explanation:

From the question, we are informed that a shop makes £2,750 in March while it made £3,162.50 in April. The increase will be:

= £3,162.50 - £2,750

= £412.50

Percentage increase = £412.50/ £2750 × 100

= 15%

Answer:

28,080

Step-by-step explanation:

Answer:

[tex]\frac{-1}{7}[/tex] or 0.14

Step-by-step explanation:

To find slope you can use the formula

mx=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

or

[tex]\frac{rise}{run}[/tex]

Rise over run:

Rise over run is the easiest of the two so we'll be using that one first for this question, but both should give you the same answer

To find rise over run, select the points and see how many points up or down you must got to make it the same level as the other point

In this case, the point (-3,1) would have a run of -1 because you have to move down one

To find run, now that you have rise start from that point and count how far you have to go to get to the next point. You should be going in a straight line.

The run would be 7.

Now you make it a fraction/division problem

[tex]\frac{rise}{run} =\frac{-1}{7}[/tex]

-0.14285714285714285714285714285714 <- decimal value

-0.14

Depending on what it means by reduce, your answer will either be -1/7 or the decimal. Use the reduced decimal value if it's asking for a decimal

I've included a picture in case my explanation was not satisfactory or you need a visual.

Slope form:

Identify the two points

First one will be (-3,1)

Second one would be (4,0)

Now label them

-3 will be x1

1 is y1

4 is x2

0 is y2

You will be using [tex]\frac{y2-y1}{x2-x1}[/tex]

Put the values into the equation

[tex]\frac{0-1}{4--3} =\frac{0-1}{4+3} =\frac{-1}{7}[/tex]

You get the same thing as the previous way.

Same answer

Visuals also included

I hope this helps and don't be afraid to reach out with further questions!

Answer: I think it is A or B

Step-by-step explanation:

Answer:

second which would be c for edg

Step-by-step explanation:

Answer:

Seven dollars

Step-by-step explanation:

Answer:

b = -7

Step-by-step explanation:

18 = -5b-17

Add 17 to each side

18+17 = -5b-17+17

35 = -5b

Divide each side by -5

35/-5 = -5b/-5

-7 = b

Answer:

10. 264

11. 13

Step-by-step explanation:

10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.

 66+66+66+66= 264

 I added 4 times for each side we have and we get the perimeter of 264

11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.

 65 divided by 5 is 13

 Area divided by Length is Width

Answer:

#10= 264

#11= 13

Step-by-step explanation:

#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264

#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.

Answer:

3 mi * 15 min/mi = 45 min

Step-by-step explanation:

Answer:

12 is the GCF..........

Answer:

12

Step-by-step explanation:

listing the factors

12 : 1, 2, 3, 4, 6, 12

24 : 1, 2, 3, 4, 6, 8, 12, 24

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 4, 6, 12

The GCF is 12

Answer:

0.375

cannot be simplified more.

Step-by-step explanation:

three is prime, meaning it can only be divided by 1 and itself. When you see a prime in a fraction, you cannot simplify anymore without accidentally making it more complicated. Divided would just be the decimal form. The decimal form of 1/8 is 0.125, so if you multiply it by three you should get 3/8=0.375

Answer:

Yes because you can multiply the numerator and denominator by 2.5 to get 10/30 so it is proportional

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

it makes 2/3 when reduced

Answer:

Greeetings!

Step-by-step explanation:

4 3/4 =

Improper fraction - 19/4

Decimal form - 4.75

Hope this helps! :)

Answer:

=8x^4+2x^3−6x^2+21x−18

Step-by-step explanation:

(2x2+2x−3)(4x2−3x+6)

Answer:

A) $5.5= 0.25(17)+0.05(n) where n = nickels

B) 25 nickels

Step-by-step explanation:

Answer:

Step-by-step explanation:

density is weight divided by volume. And the volume of a log is like a cylinder.

V=hpi(r^2) in this case

V=25(30)pi=750pi so

d=(42.63)/(750pi)

d=0.018 lb/in^3

Step-by-step explanation:

divide it by 2...............

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

Answer:

x+18=90-x

use this equation and solve

2x=72

x=36

36+18=54

90-54=36

54 degrees and 36 degrees

The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

let, one angle = x

x+18=90-x

use this equation and solve

2x=72

x=36

so, we get,

36+18=54

90-54=36

Hence, The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

To learn more on angle click:

brainly.com/question/28451077

#SPJ6

Answer:

Your answer is

12$ per hour

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

umm so

Step-by-step explanation:

wait ill answer that just now let me work it out

Answer:

The numbers slowly decrease by 4 so we can determine that the 40th sequence is -70.

Step-by-step explanation:

Answer:

1 is correct.

2 is incorrect.

3 is correct.

4 is correct.

5 is correct.

6 is incorrect.

Step-by-step explanation:

You're welcome, hope I helped.