Ben reads 14 pages out of the 20 pages in a chapter. Which of the following ratios is equivalent to the ratio of the pages Ben read to the total number of pages?

Question 3 options:

7/10


10/7


6:10


10:6

The actual width, w, of the island is 22.5 inches if the width in the drawing is 2.5 inches.

The actual width can be determined by multiplying the width with the scale factor.

Given that:

[tex]\mathbf{\dfrac{1.5}{1}=\dfrac{x}{6}}[/tex]

[tex]\mathbf{\dfrac{1.5}{1} \times 6=x}[/tex]

x = 9

If the width of the drawing is 2.5 inches, the actual width of the island is:

= scale factor × width of the drawing

= 9 × 2.5 inches

= 22.5 inches.

Learn more about the calculating the actual width using scale drawing here:

https://brainly.com/question/2604310

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Answer:

25x^2 - 20x + 4

Hey there!

(5x - 2)^2

= (5x - 2)(5x - 2)

= 5x(5x) + 5x(-2) - 2(5x) - 2(-2)

= 25x^2 - 10x - 10x + 4

COMBINE the LIKE TERMS

= 25x^2 - 20x + 4

Therefore, your answer is:

25x^2 - 20x + 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

I've tried figuring this out I'm sorry !! i highly recommend asking your teacher though!

Step-by-step explanation:

Answer:

first of all what you have to do is to use a method called distribute property when you see this type of questions and multiply for example 3 times 6f and getting an answer of 18f and then finally you just multiply 3 times 8 and the answer is 24 so basically the answer should be 18f+24 and hope this helps and can you also tell me the answer choices and if it was correct or not and thanks for helping you.

Step-by-step explanation:

Answer:

18f+24

Step-by-step explanation:

Use the Distributive Property of Multiplication...

3 x 6f = 18f (note; when multiplying a number by a veriable, just add the variable to the product).

3 x 8 = 24

answer: 18f+24

Answer:

12.57

Step-by-step explanation:

If the diameter is 4 and the radius is 2, your area will come out to 12.56637 and you need to round that to two decimal places, so 12.57

Answer:

7 x 1 = 7

Step-by-step explanation:

This is correct because Associative property of Multiplication means that you can change the grouping of the numbers and it will not affect the answer.

Answer:

124

Step-by-step explanation:

Answer:

It's the third graph that is correct

Step-by-step explanation:

I plotted the points and it was right

Answer:

c

Step-by-step explanation:

Answer:

[tex]5\sqrt{15}[/tex]

Step-by-step explanation:

[tex](\sqrt{3}+\sqrt{48})(\sqrt{20}-\sqrt{5})[/tex]

[tex]\textsf{Use} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16 \cdot 3})(\sqrt{4 \cdot 5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16}\sqrt{3})(\sqrt{4}\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+4\sqrt{3})(2\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (5\sqrt{3})(\sqrt{5})[/tex]

[tex]\implies 5\sqrt{3}\sqrt{5}[/tex]

[tex]\implies 5\sqrt{3 \cdot 5}[/tex]

[tex]\implies 5\sqrt{15}[/tex]

Answer:

5√15

Step-by-step explanation:

(√3 + √48)(√20 - √5)

step 1 simplify √48

(√3 + 4√3)(√20 - √5)

step 2 add √3 and 4√3

(5√3)(√20 - √5)

step 3 simplify √20

(5√3)(2√5 - √5)

step 4 subtract √5 from 2√5

(5√3)(√5)

step 5 multiply 5√3 and √5

= 5√15

explanation of each step

step 1 and 3

To simplify radicals you list the factors of the number under the sqaure root

For 48 we have 2 × 2 × 2 × 2 × 3

We then pair the factors off as powers of 2 if possible

We get 2² × 2² × 3 which can further be simplified as 4² × 3

We then list the number with the power on the outside of the radical and leave the numbers with no power on the inside to get 4√3.

This process is used to simplify √20 as well.

step 2 and 4

For these two steps we are adding and subtracting radicals  with the same radicand ( number inside of the square root. ) This is very simply as we keep the radicand the same and just perform the operation to the coeffecients ( number on the outside of the square root )

Eg. a√b + c√b = (a+c)√b or a√b - c√b = (a-c)√b

Hence, 4√3 + √3 = (4+1)√3 = 5√3

Step 5.

Finally we multiply the two radicals. This is very simply as we can use the rule to do so.

a√b × c√d = (a×c)√b×d

Hence, 5√3 × √5 = (5×1)√(3×5) = 5√15

Answer:

Group 1: 2x, -4x, 25x

Group 2: -3y, y

Group 3: 10, -6, 100

Group 4: -6x^2, 5x^2

Step-by-step explanation:

In eac group they are the ones that can be combined together, you cannot combine numbers from diffrent groups because they are not like terms.

Answer:

50% or 1/2

Step-by-step explanation:

P(adult)=0.5

P(children)=0.5

0.5*40=20

20/40=2/4=1/2=0.5

0.5*100=50%

Answer: $55.00

Step-by-step explanation:

5.75 x 5 = 28.75
2.00 x 5 = 10.00

3.25 x 5 = 16.25

28.75 + 10.00 + 16.25 = 50.00

Answer:

420

Step-by-step explanation:

Base is the bottom across

Height is in the middle so multiply them and you get 420 inches

Answer:

Percent Change

[tex]\sf percent\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100[/tex]

[tex]\sf \implies \textsf{percent change from 1845-1846}=\dfrac{148-118}{118} \times 100=25.4 \%[/tex]

[tex]\sf \implies \textsf{percent change from 1846-1847}=\dfrac{139-148}{148} \times 100=-6.1 \%[/tex]

[tex]\sf \implies \textsf{percent change from 1847-1848}=\dfrac{151-139}{139} \times 100=8.6 \%[/tex]

(all solutions are given to the nearest tenth)

Answer:

The first question is 699.

The second question is 82.875.

Step-by-step explanation:

To find the are of the floor, we would take the volume formula for the rectangular prism and do it reversed.

V = l*w*h

2,097 = l*w*3

Divied by 3

699 = l*w

Since the area of a floor is l*w, we have found the area of the floor already.

699 feet^2

8 1/2 is 8.5. 3 1/4 is 3.25 To find the volume of a rectangular prism, it is l*w*h

3*8.5*3.25 = 82.875

Answer:

Area of floor= 699 sq ft

Volume of prism = 82 7/8 cubic ft.

Step-by-step explanation:

QUESTION 1

Given:

Volume of rectangular storage room = 2097 ft³

hieght of the storage room= 3ft

To find:

The area of rectangular floor = ?

Solution:

[tex]Volume \: of \: room = Area \: of \: floor \times height \: of \: room \\ 2097 = Area \: of \: floor \times 3 \\ Area \: of \: floor = \frac{2097}{3} \frac{ {ft}^{3} }{ft} \\ Area \: of \: floor = \cancel\frac{2097}{3} \cancel\frac{ {ft}^{3} }{ft} = 699 \: {ft}^{2} \\ \fbox{Area \: of \: floor = \: 699 \: sq.ft. }[/tex]

QUESTION 2

Given:

Length of rectangular prism l = 3 ft

width of rectangular prism w= 3 1/4 ft

Height of rectangular prism h= 8 1/2 ft

To find:

Volume of rectangular prism =?

Solution:

[tex]Volume \: of \: rectangular \: prism= l \times w \times h \\ Volume \: of \: rectangular \: prism = 3 \times (3 \frac{1}{4} ) \times (8 \frac{1}{2} ) \\ Volume \: of \: rectangular \: prism = 3 \times ( \frac{4 \times 3 + 1}{4} ) \times \frac{8 \times 2 + 1}{2} \\ Volume \: of \: rectangular \: prism = 3 \times \frac{13}{4} \times \frac{17}{2} \\ Volume \: of \: rectangular \: prism = \frac{663}{8} \\Volume \: of \: rectangular \: prism = 82 \frac{7}{8} \: cubic \: ft[/tex]

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Answer:

(x-9)

Step-by-step explanation:

factoring out [tex]\frac{1}{10}[/tex] from [tex]\frac{1}{10}x[/tex] leaves 1x which can be written as just x. factoring [tex]\frac{1}{10}[/tex] from [tex]\frac{9}{10}[/tex] gives you just 9.

so [tex]\frac{1}{10} (x-9)[/tex].

Answer:

15900 because 212x75=15900

Step-by-step explanation:

Answer:

y=-|x+1|+1

Step-by-step explanation:

im not too sure though

Answer:

2 dozen or 24.

The number of hens was increased from 1.5 to 6 (4 times more) and the number of days was increased from 1.5 to 6 (also 4 times more). The effect is cumulative, thus the amount of eggs that will be layed will be 16 times more (i.e. 24 instead of 1.5).

Answer: the answer should be option a. 100+5x because lets say for example that we replace x with 20 persons and that would be 100 if you multiply it but then you add 100+100= 200 dollars the total amount she owes to the bowling alley so a is the answer and hope is right and thank you so much for helping you today.

Step-by-step explanation: :) have a great today folks and please give me brainliest.

Answer:The expression is 5p+100=total

Answer:

4x^2

Step-by-step explanation:

This cannot be combined with the other variables because they are unlike terms

Answer:

Step-by-step explanation:

So first you need to find to Constant of Proportionality and to do that you need to divide either 96 by 3 or 160 by 5. The answer you get is the first blank, then to find the second blank you take 14 and multiply it by the first answer.

The answer is a

2/3=4/6 qhen you use butterfly method you get 12 for each 2×6=12 and 4×3

same for 6/9and 8/12 you use butter fly method to get 72 for each 6×12=72 and 8×9=72

Answer:

The correct answer is a

Step-by-step explanation:

The correct answer is a because 8590-4586=4004 whereas 2×{8590-4856}=8008

in which 4004 is clearly the half of 8008 which proves the statement correct