3. If s varies directly as (r + 1) and s = 8, when r = 3, calculate the value ofr when s = 20.
(4marks)

Answers

Answer 1

Answer:

When s = 20, r = 9

Step-by-step explanation:

Given,

s is directly proportional to (r + 1)

s = k(r + 1)

(k is the constant of proportionality)

When s = 8,

8 = k(3 + 1)

8 = k(4)

8 = 4k

8/4 = k

2 = k

When s = 20,

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r


Related Questions

Assume that y varies directly with x. If y= 2/5 when x= 1/3, find y when x = 1/4

Answers

Step-by-step explanation:

y1/x1=y2/x2

2/5÷1/3=y÷1/4

y=3/10=0.3

Which of graph has a zero of 4

Answers

Graph A.

Graph A has a line passing through (0,4).

.............................................................................

Describe a principle that the philosophies of Locke, Montesquieu, and Rousseau have in common.
Look at the incomplete multiplication problem below.

632 times 29 = 5688. 5688 + question mark = blank

What value is missing?

Answers

Answer:

Locke, Rousseau and Montesquieu agreed that nations would be built on social institutions, or even what Montesquieu considered a legislation which would describe the laws of the country and put in concrete what privileges the citizens and the state have.

Answer:

d 18,328

Step-by-step explanation:

I did the math >:3

sorry if it's wrong

Mr. Diaz bought a board that was 7 feet long. He cut the entire board into pieces that were LaTeX: \frac{1}{3}1 3 foot long. How many pieces did Mr. Diaz have ?

Answers

Answer: Mr. Diaz will have 21 pieces.

Step-by-step explanation:

Given, Length of the complete piece bought by  Mr. Diaz= 7 feet

Length of each piece cut = [tex]\dfrac13[/tex] foot

By division operation,

Number of pieces = ( Length of complete piece ) ÷ (Length of each piece cut)

[tex]=7\div\dfrac13=7\times3=21\ \ [\because a\div \dfrac{b}{c}=a\times\dfrac{c}{b}][/tex]

Hence, Mr. Diaz will have 21 pieces.

In an asteroid field, 75% of the asteroids are carbonaceous asteroids. There are 375,000 carbonaceous asteroids in the asteroid field. How many asteroids are not carbonaceous? Asteroids are not carbonaceous.

Answers

Given:

In an asteroid field, 75% of the asteroids are carbonaceous asteroids.

There are 375,000 carbonaceous asteroids in the asteroid field.

To find:

The number of asteroids that are not carbonaceous.

Solution:

Let the total number of asteroids be x.

According to question,

[tex]75\%\text{ of }x = 375000[/tex]

[tex]\dfrac{75}{100}x=375000[/tex]

[tex]0.75x=375000[/tex]

Divide both sides by 0.75.

[tex]x=\dfrac{375000}{0.75}[/tex]

[tex]x=500000[/tex]

Asteroids not carbonaceous = Total asteroids - Carbonaceous asteroids

                                                [tex]=500000-375000[/tex]

                                                [tex]=125000[/tex]

Therefore, 125,000 asteroids are not carbonaceous.

Silvio is putting his books on a shelf. The shelf is 12 inches long. If each book Is LaTeX: 1\frac{1}{2}1 1 2inches wide, how many books can he put side-by-side on the shelf?

Answers

Answer:

8 books

Step-by-step explanation:

1 book = 1 1/2 inches

Length of the shelf = 12 inches

Hence,

3/2 inches = 1 book

12 inches = x

3/2 × x = 12 × 1

x = 12 ÷ 3/2

12 × 2/3

4 × 2

= 8 books

Hence, he can put 8 books side-by-side on the shelf.

Find the length of BD in rectangle ABCD. a2 + b2 = c2 5 23 25 31

Answers

Answer:

B

23

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

[tex]24^{2} + 7^{2}[/tex] = 625

[tex]\sqrt{625\\}[/tex] = 25

Therefore, the length of BD in rectangle ABCD is 25mm. I just did the test and it is correct. 23 is wrong.

A 3-gallon jug of orange juice costs $10.44. What is the cost of the orange juice per quart?
A.
$1.07
B.
$0.87
C.
$2.06
D.
$0.98

Answers

Answer:

B. $0.87

Step-by-step explanation:

Divide $10.44 by 12 (how many quarts are in 3 gallons) to get the answer.

The weight y of an object on Mars is proportional to the weight x of the object on Earth. An object that weighs 70 pounds on Earth would weigh 28 pounds on Mars. Write an equation that represents the situation. Then determine how much a boulder that weighs 250 pounds on Mars would weigh on Earth.

An equation that represents the situation is y=

A rock that weighs 250 pounds on Mars would weigh _ pounds on Earth.

Answers

Answer:

625 pounds

Step-by-step explanation:

Given:

Weight on Earth = 70 poundsWeight on Mars = 28 pounds

As per given the proportion is:

y/x = 28/70 ⇔ y/x = 2/5

A rock that weights 250 pounds on Mars would weigh on Earth:

250/x = 2/5x = 250*5/2x = 625 pounds

Giving BRAINLIEST Select the table that represents a linear function. (Graph them if necessary.)

A.
x 0 1 2 3
y 0 2 5 8

B.
x 0 1 2 3
y 8 6 7 5

C.
x 0 1 2 3
y 10 9 7 4

D.
x 0 1 2 3
y 11 8 5 2

Answers

answer is a because while doing it in graph it seems a straight line

Based on the data in the table, how many members would you expect there to be in the band in 2018?


Year Number of Band
Members
2014 40
2015 46
2016 54
2017 64
number of members =

Answers

Answer:

About 204 people will go to the band in 2018.

Step-by-step explanation:

64 + 54 + 46 + 40 = 204.

Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?

Answers

Answer:

Blake will jog 12 blocks

Step-by-step explanation:

Allison : Blake = 3 : 2

If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?

Allison : Blake = 18 : x

Equate the ratios

3 : 2 = 18 : x

3/2 = 18/x

Cross multiply

3 * x = 2 * 18

3x = 36

Divide both sides by 3

x = 36 / 3

= 12

x = 12

Blake will jog 12 blocks

Answer:

12 blocks

Step-by-step explanation: she ran 12 blocks

0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answers

Complete question :

The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answer:

1.54 times

Step-by-step explanation:

Given that:

Average length of Gila monster = 0.608 meter

Average length of chuckwalla = 0.395 meter

Number of times the Gila monster is than the Chuckuwalla :

Average Length of Gila monster / average Length of chuckwalla

= 0.608 meter / 0.395 meter

= 1.5392405 times

= 1.54 times

loren wants to buy a golf club that is $98 today it is on sale for 25% off how much is the discount and what is the sale price

Answers

98 x .25 = discount so 24.5
then 98 - 24.5 = 73.5 for sale

The discount is $24.5 and Sale Price is $122.5.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

loren wants to buy a golf club that is $98.

Sale= 25% off

So, the discount is

= 98 x 25/100

= 98 x 1/4

= $ 24.5

and, the Sale Price is

= 98 + 24.5

= $122.5.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ2

HELP!
(4x + 5y)(2x - 3y) + 3xy

Answers

Answer:

(4x+5y)(2x-3y)+3xy
8x^2-12xy+10xy-15y^2+3xy
8x^2+xy-15y^2

I believe this should be the answer you need.

What is the quotient of -3/8 And -1/3?​

Answers

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way!

[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]

Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:

[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]

Now multiply

[tex]\frac{9}{8}[/tex]

And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

i need help with this​

Answers

Answer:

ok what here are u meant to do

rise over run 2/6 is the answer

Factor this polynomial expression.
15x^2- 2x - 8
O A. (5x + 4)(3x - 2)
O B. (5x - 4)(3x+2)
O C. (5x + 2)(3x - 4)
O D. (5x-2)(3x+4)

Answers

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

So,

[tex] \longrightarrow [/tex] 15x² + (10 - 12)x - 8

[tex] \longrightarrow [/tex] 15x² + 10x - 12x - 8

[tex] \longrightarrow [/tex] 5x(3x + 2) - 4(3x + 2)

[tex] \longrightarrow [/tex] (5x - 4)(3x + 2)

Write the equation 2x - 3y= 6 in slope-intercept form.
y=2/3 x+3
y=2/3 x-2
Y=3/2 x+3

Answers

-3y=6-2x
Divide all numbers by -3
y=2/3x-2
Two negatives divided by each other makes a positive!

I'll mark brainilest awnser​

Answers

Answer:

-6

Step-by-step explanation:

let equation of the line be y = mx + c

sub (4, -3)

-3 = 1/2(4) + c

c = -5

sub (-2, y)

y = 1/2(-2) - 5

y = -6

Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5

Answers

Answer:

11.906

23.806

Step-by-step explanation:

here you go also can you check my account for some lyrics i posted :)

how to describe transformation

Answers

A movement of an object

A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?

Answers

Answer:

X=$7

Step-by-step explanation:

what is speed of sound in air at 100 degree celcius?​

Answers

Answer:

386m/s is the answer to your question

You and a friend are playing a card game. You draw a card from a standard deck of 52 cards. Your friend gives you two choices of games to play. Game A: pay $4 and if you draw a card that is worth 9 or more, you will win double your money. Game B: pay $2 and if you draw a card that is a heart, you will win $3. Which game should you play? NOTE: Face cards and ace count as 10 points. Explain using complete sentences.

Answers

if there are 13 heart cards in total and there are 20 cards that have a value above 9, your odds are better for game a.

ASAP Can somebody plz answer all of them correct except for #1 thanks!
(Only if u done this before)
WILL MARK BRAINLIEST

Answers

Answer:

For number 2 that is going to be 1 4/5

number 3 is going to be 5 4/7

Number 4 is going to be 8 1/3

Number 5 is going to be 3 1/6

Number 6 is going to be 6 3/11

Step-by-step explanation:

I hoped this helps

Please help! Step by step explanation, Graph the step function over the interval

Answers

-2 x that’s the answer big boy

If they instead chose front and back covers of thickness 1/3 of an inch, how would this change the equations in the previous two parts

Answers

Answer:

where is the rest of the question

Step-by-step explanation:

Answer:

y = 1/2 + 1/4*x

Explanation:

Given that the front cover has a thickness of 1/4 an inch and back cover also has a thickness of 1/4 an inch, then, the addition of both gives to the book thickness of 1/4 + 1/4 = 1/2 inch, despite how many pages it has.

Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is:

y = 1/2 + 1/4*x

where y refers to the width of the book, and x refers to every hundred pages printed on bond paper. Y is measured in inches.

x + 2x + 12y + 4 = ?

Answers

Answer:

3x +12y+4

Step-by-step explanation:

what is 6 1/2 / 3 1/2? please help me!

Answers

Answer:

1 6/7

Step-by-step explanation:

Answer:

13/7 or 16/7, they are the same, just different ways of writing it.

Step-by-step explanation:

(6 1/2) / (3 1/2)

Convert to an improper fraction

(13/2) / (7/2)

To divide a fraction, find the  reciprocal of the second fraction, and multiply it by the first:

(13/2) * (2/7)

simplfiy

(13/7)

Which is the same as:

1 6/7

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