Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the students' ratios of science fiction books to history books. 1. Determine the ratios' form: science fiction books to history books 2. Write the ratios as fractions: Dexter: 11 5 ; Lena: 9 4 3. Rewrite with a common denominator. 4. Compare. 5. Answer the question. Determine which shows the correct comparison of the ratios for this problem.

Answers

Answer 1

Answer:

1. [tex]Dexter = 11:5[/tex]  [tex]Lena = 9:4[/tex]

2. [tex]Dexter = \frac{11}{5}[/tex]  [tex]Lena = \frac{9}{4}[/tex]

3. [tex]Dexter = \frac{44}{20}[/tex]   [tex]Lena = \frac{45}{20}[/tex]

4. [tex]\frac{45}{20} > \frac{44}{20}[/tex]

Step-by-step explanation:

Given

Dexter

[tex]Science\ Fiction = 11[/tex]

[tex]History = 5[/tex]

Lena

[tex]Science\ Fiction = 9[/tex]

[tex]History = 4[/tex]

Solving (1): Write as ratio

Represent Science Fiction with S and History with H

For Dexter;

[tex]Ratio = S : H[/tex]

[tex]Dexter = 11:5[/tex]

[tex]Lena = 9:4[/tex]

Solving (2): Write ratio as fraction

[tex]Fraction = \frac{S}{H}[/tex]

[tex]Dexter = \frac{11}{5}[/tex]

[tex]Lena = \frac{9}{4}[/tex]

Solving (3): Write as a common denominator

[tex]Dexter = \frac{11}{5}[/tex]

Multiply by [tex]\frac{4}{4}[/tex]

[tex]Dexter = \frac{11}{5} * \frac{4}{4}[/tex]

[tex]Dexter = \frac{44}{20}[/tex]

[tex]Lena = \frac{9}{4}[/tex]

Multiply by [tex]\frac{5}{5}[/tex]

[tex]Lena = \frac{9}{4} * \frac{5}{5}[/tex]

[tex]Lena = \frac{45}{20}[/tex]

Solving (4): Compare both fractions

By comparison;

[tex]\frac{45}{20}[/tex] is greater than [tex]\frac{44}{20}[/tex]

So, we have:

[tex]\frac{45}{20} > \frac{44}{20}[/tex]

Answer 2

Answer:

d

Step-by-step explanation:


Related Questions

Evaluate 6p - 3 when p = 2

Answers

Answer:

9

Step-by-step explanation:

since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9

72.4 divided by 4 please help!!!!

Answers

Answer:18.1

Step-by-step explanation:

-4
1.3 x 10 x 1.7 x 10
-3
x 10
Q2
[2]
Ed
9.​

Answers

Answer:

221

Step-by-step explanation:

use bidmas (brackets,indices, division,multiplication,addition,substraction)

D
Two friends rent an apartment together.
They agree that one person will
рау 1.5
times what the other person pays. If the rent
is $850, how much will each friend pay?

Answers

Answer:

Friend A pays $340 and friend B pays $510

Step-by-step explanation:

Let's call

x: payment of friend A

1.5x: payment of friend B

The sum of both payments must total $850, thus:

x + 1.5x = 850

Simplifying:

2.5x=850

x = 340

Now for friend B:

1.5x=1.5*340=510

Friend A pays $340 and friend B pays $510

QUIZ
Active
1
2
3
4
8
10
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2

Answers

y = x + 2

It starts out at (0,2) which means it needs to be up 2 from the parent graph (y = x). Then using the slope equation, the slope is 1

which equation can be used to determine the length of DE

Answers

Answer:

C

Step-by-step explanation:

5x-2+3=3(x+3)

Compared to its parent function the transformation of the following : y= -3x - 3 + 4
a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up

b) stretched horizontally, moved 3 to the right and 4 up

c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up

d) stretched horizontally, moved 3 to the left and 4 down

Answers

The answer is B
Hope it helps!!

a+c=r- d Solve for a .
A a =p+d-c
B
a=c+p-d
C a = d+r+c
D a=r-d-c

Answers

Answer:

D

Step-by-step explanation:

a + c = r - d

a = r - d - c

The answer is D a=r-d-c

Are the ratios 15:10 and 3:2 equivalent? yes no​

Answers

Answer:

yesss they are

Answer:yes

Step-by-step explanation:

If the distance between opposite numbers on a line is 8 units, what are the opposite numbers? Pls hurry

Answers

Answer:

-4 and 4

Step-by-step explanation:

You count between the zeros like when you jump on a number line or just don't count the zero

_ _ _ _ _ _ _ _

     -4, -3, -2 ,-1, 0, 1, 2 ,3, 4

I'm not 100% so plz tell if right!! I'm 90% sure.

Answer:

1 and -7

Step-by-step explanation:

Simplify.
3/4 squareroot -48

Answers

Answer:

3i √3

Step-by-step explanation:

you can't have the square root of a negative number

so we use "i"

I'll give brainliest!!! please help!!!

Why was Marian Anderson not allowed to sing at Constitution Hall?


Anderson had spoken out against the Daughters of the American Revolution (DAR), who owned the venue at the time.


Constitution Hall was owned by the Daughters of the American Revolution (DAR), who refused to let African Americans perform there.


Anderson was not yet famous enough when her manager tried to book a concert date at Constitution Hall.


Constitution Hall was undergoing some major renovations, so no one was able to schedule a performance there.

Answers

Answer:

Constitution Hall was owned by the Daughters of the American Revolution (DAR), who refused to let African Americans perform there.

Step-by-step explanation:

The Daughters of the American Revolution proudly practices a non-discrimination policy and encourages and celebrates diversity in our organization. However, in 1939, opera singer Marian Anderson was denied the opportunity to perform in DAR Constitution Hall because of her race.

If this was helpful please mark brainliest

Answer:

The answer is ,,the nation-wide recognition that Marian Anderson received for her cause,,

Step-by-step explanation:

HELP PLEASE ANSWER ALL THREE OF THEM IM TIMED AND IM SUPPOSE TO DO THEM NOW

Answers

Answer:

35.72 is the answer to the problem

ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground

Answers

Answer:

The ball will take 8.90 seconds to hit the ground.

Step-by-step explanation:

The height of a ball after t seconds is given by:

[tex]h(t)=40t-5t^2[/tex]

Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:

[tex]40t-5t^2=-40[/tex]

Rearranging:

[tex]5t^2-40t-40=0[/tex]

Simplifying by 5:

[tex]t^2-8t-8=0[/tex]

Solving the quadratic equation with the formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

With a=1, b=-8, c=-8

[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]

[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]

There are two solutions:

t=8.90 sec, t=-0.90 sec

Due to the nature of the problem, t cannot be negative, thus:

The ball will take 8.90 seconds to hit the ground.

i don’t know how much she need to make

Answers

Answer:

4

Step-by-step explanation:

She can make 4. Have an amazing day

Is the following number irrational?
-8.7


Answers

Answer:

No.

Step-by-step explanation:

Rational numbers are any of the following:

Integers (positive whole numbers, negative whole numbers, or zero).Fractions e.g. 3/4Terminating (with an end) or repeating decimals e.g. 0.2 or 0.333333... or 0.343434...

Irrational numbers are thus defined as:

Non-terminating (unending), non-repeating decimal numbers. e.g. π, surds ( [tex]\sqrt{2}[/tex] ).

This means that -8.7 is not irrational, as it is not an unending, non-repeating number: an easy way to remember how to answer this is to look at whether the number has been expressed in decimal form if it has (unless you have been told that it has been rounded) it must be rational, as it can be written as a decimal number.

Jaiden wants to buy a new pair of jeans. If the jeans were originally $80.00, but are on sale with a 25% discount, how much will Jaiden have to pay for the jeans?

Answers

Answer:

he would have to pay $60

Step-by-step explanation:

The price of jeans that Jaiden has to pay after the discount will be equal to $60.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Original price of jeans = $80

Percentage discount on sale = 25%

Then, the discount of price on the jeans will be,

80 × 25/100 = $20

Then, the price of jeans after the discount will be,

$80 - $20 = $60

To know more about Percentage:

https://brainly.com/question/29306119

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This is my question​

Answers

[tex]f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} [/tex]

The table represents the function f(x).
What is /(3)?
X
0 1
9
-3
-2
11
0
1
2
3
f(x)
9
6
3
0
3
6
9

Answers

Answer: The answer is nine, because

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibles?
( I need the answers, plus the steps please and thank youuu :)

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the model:

s = 10│x - 4│+ 50

s represents the sound level in decibels and x represents the number of measures of music played

To find x at s = 80

The equation becomes /

80 = 10│x - 4│+ 50

Subtract 50 from both sides of the equation

80 - 50 = 10 |x - 4| + 50 - 50

30 = 10 | x - 4 |

Divide both sides by 10

30/10 = 10|x - 4| / 10

3 = |x - 4|

|x - 4| is an absolute value expression

±3 = |x - 4|

x = 3 + 4 = 7

x = - 3 + 4 = 1

Answer questions (a – f) based on the following graph.

Answers

maybe give the questions?

Answer:

Step-by-step explanation:

all i can say is number one is y=3

for the rest of em. ur on ur own bud

What is the square root of 81/100

A. 81/100
B. -9/10
C. 9/10
D.8/10

Answers

Answer: 9/10

Step-by-step explanation: I know this because 9 times 9 is 81 and 10 times 10 is 100.

I am pretty sure it’s C.

10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she
received for her birthday and deposits her pay checks each month after that, write a function for the
total amount of money in her savings account based on how many months the account has been open.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
11. Kevin needs to get his truck fixed. The mechanic tells Kevin the part he needs will cost $75 and
there will be a fee of $60 per hour for labor. If the total cost to fix his truck is a function of the number
of hours the mechanic has to work (labor) on the truck, write a function to represent this situation.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:

Answers

Answer:

uh uh uh uh uh I'll try uh uh uh uh uh

Solve: -4 (2x + 11) = -x + 12

Answers

The answers is X = -8

Answer:

x=-8

Step-by-step explanation:

Multiply -4 by each number in the parenthesis ( distributive property )

Add x to -8x ( -7x )

Add 44 to 12 ( 56 )

Divide 56 and -7

 You should get x=-8

What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube

Answers

b a perfect cube because 5 cubed is 125

y = x - 2
y = 3x + 4
Is (4, 2) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

If you plug in the coordinates (4,2) to y=x-2 it will give you 2=2 which is rite, but if you plug it in to y=3x+4 it will give you 2=16 which isn't rite.

farmula to calculate perimeter of rectangle​

Answers

Answer:

P=2(L+w)

Step-by-step explanation:

What’s Slope A?

What’s Slope B?

What is the relationship between the two slopes that you calculated?

Answers

Answer: 2

Step-by-step explanation:

count number a blocks it went up (4)

count number of blocks it goes to the right (2)

if it goes to the left or down the answer would have been negative

4/2 = 2

From the diagram below, if the measure of < <= 30°, and side AB = 16, then side AC =

Select one:
a.
b.8
C.32
d. 16

plsss help it’s for geometry 2

Answers

Answer:

32

Step-by-step explanation:

The length of AC as per he sine of an angle is 32.

What is the sine of an angle in a right angle triangle?

The sine of an angle is the ratio of the height and the hypotenuse of the triangle.

Given, ∠C = 30°

AB = 16

Therefore, sin ∠C = (AB/AC)

Therefore, sin (30°) = 16/AC

⇒ (1/2) = 16/AC

⇒ AC = 2 × 16

⇒ AC = 32

Learn more about the sine of an angle here: https://brainly.com/question/22688137

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Find the difference. Write your answer in simplest form.
10 1/5 - 2 1/6=

Answers

Answer:

8 1/30

Step-by-step explanation:

(10-8) + (1/5 - 1/6)

Answer:

8  1/30

Step-by-step explanation:

Find the common deminator, then subtract!!

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