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

Answer:

B. $0.87

Step-by-step explanation:

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

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)

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.

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.

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!

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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.

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.

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

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

Answer:

11.906

23.806

Step-by-step explanation:

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

Answer:

X=$7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

As per given the proportion is:

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

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.

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

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

Answer:

About 204 people will go to the band in 2018.

Step-by-step explanation:

64 + 54 + 46 + 40 = 204.

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

Answer:

386m/s is the answer to your question

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

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

Answer:

ok what here are u meant to do

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

Graph A.

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

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

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.

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

Step-by-step explanation:

y1/x1=y2/x2

2/5÷1/3=y÷1/4

y=3/10=0.3

Answer:

3x +12y+4

Step-by-step explanation: