There are 13 books on a shelf. Of these books are new. 9 The rest of them are used. (a) What is the ratio of used books to new books? (b) What is the ratio of all books on the shelf to used books?

Answers

Answer 1

Answer:

a) The ratio of used books to new books is of [tex]\frac{9}{4}[/tex].

b) The ratio of all books on the shelf to used books is of [tex]\frac{13}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Ratio of b to a:

The ratio of b to a is given by:

[tex]\frac{b}{a}[/tex]

In this question:

13 books, 9 used, 4 new.

(a) What is the ratio of used books to new books?

9 used, 4 new. So

The ratio of used books to new books is of [tex]\frac{9}{4}[/tex].

(b) What is the ratio of all books on the shelf to used books?

13 books on the shelf, 9 used. So

The ratio of all books on the shelf to used books is of [tex]\frac{13}{9}[/tex]


Related Questions

Please help me it's urgent!

Answers

Answer:

2nd one

Step-by-step explanation:

Add 10 to the product of z and 7
What would be the expression

Answers

Answer:

10 + 7z

Step-by-step explanation:

the product of z and 7 is

7z

adding 10 to the expression would be

10 + 7z

The required expression is the binomial 7z+10

What is a polynomial expression?

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here: The statement " Product of z and 7 added to 10"

Now the product of z and 7 is given by 7z

Now adding 10 to the monomial we get

7z+10

Thus the result is a binomial

Hence, The required expression is the binomial 7z+10

Learn more about the polynomial expression here:

https://brainly.com/question/11536910

#SPJ2

Which of the following is not a real number?
O A. Squared root of 1
B. Squared root of 13
C. Squared root of 16
D. Squared root of -4

Answers

Answer:

D:  √(-4)

Step-by-step explanation:

D:  √(-4) is not a real number; it's an imaginary one.

6 rational numbers between -2/3 and 1/2​

Answers

Answer:

-0.5, -0.4,-0.3,-0.2,-0.1 and 0.1

Step-by-step explanation:

We have to calculate 6 rational number between -2/3 and 1/2

So,

[tex]\frac{-2}{3} =-0.6\\\frac{1}{2} =0.5[/tex]

Now,

Rational numbers between -2/3 and 1/2 will be -0.5, -0.4,-0.3,-0.2,-0.1 and 0.1

Factorize the following 3x + 12

Answers

Answer:

if this was a equation you would first subtract 12 from the other number then divide it by 3

Answer:

3(x+4)

Step-by-step explanation:

Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)

When x = 5, the value of the expression StartFraction 20 Over negative 25 plus x EndFraction–2(x – 10) is

–21
–9
9
19

Answers

Answer:

9 !!

Step-by-step explanation:

Hope this helps! <3

9 have a good day yuerrrrrr

What is the slope of a line passing through the points (3,9) and (5,10)?

Answers

Answer:

1 / 2 or 0.5

Step-by-step explanation:

use the formula ; m = y2 - y1 / x2 - x1

where y2 = 10

y1 = 9

x2 = 5

x1 = 3

Si compraste 0.5mts de alambre grueso con un costo de 4.00 pesos por metro y 0.4 más de alambre delgado con un costo de 5.00 pesos por metro ¿cuanto fue el costo total en la compra de los metros de alambre

Answers

Answer:

El costo total es 4 $.

Step-by-step explanation:

Sabemos que el metro de alambre grueso cuesta 4 pesos y el metro de alambre delgado cuesta 5 pesos.

Entonces:

Costo de alambre grueso

[tex]0.5\: m*4\frac{\$}{m}=2\: $[/tex]

Costo de alambre delgado

[tex]0.4\: m*5\frac{\$}{m}=2\: $[/tex]

Por lo tanto, el costo total es 4 $.

Espero te haya sido de ayuda!

Write the equation of the line that passes through the points (-3, - 5) and (-9,3). Express your answer in
simplest y = mx +b form.

Answers

that's the answer

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{3 - - 5}{ - 9 - - 3} = \frac{8}{ - 6} \\ \frac{y - 3}{x - - 9} = \frac{8}{ - 6} \\ - 6(y - 3) = 8(x - - 9) \\ - 6y + 18 = 8x + 72 \\ - 6y = 8x + 72 -18 \\ - 6y = 8x + 54 \\ \frac{ - 6y}{ - 6} = \frac{8x}{ - 6} + \frac{54}{ - 6} \\ y = \frac{8x}{ - 6} - 9 [/tex]

Help me please quickly

Answers

Answer:

well it's technically 23.66, but I guess you can round it up to 24

what is the mean absolute deviation for the following(you don't need to show work): 7 6 8 5 1 6, 7 9 6 4 5 4, 4 5 6 6 9 2 3.

Answers

Answer:

the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

Here's how to calculate the mean absolute deviation.

Step 1.Calculate the mean.

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

Step 3: Add those deviations together.

Step 4: Divide the sum by the number of data points.

Following these steps in the example below is probably the best way to learn about mean absolute deviation, but here is a more formal way to write the steps in a formula:

\text{MAD}=\dfrac{\sum{\lvert x_i-\bar{x} \rvert}}{n}MAD= ∑∣ xi -x /n

start text, M, A, D, end text, equals, start fraction, sum, open vertical bar, x, start subscript, i, end subscript, minus, x, with, \bar, on top, close vertical bar, divided by, n, end fraction

Example

Erica enjoys posting pictures of her cat online. Here's how many "likes" the past 666 pictures each received:

10, 15, 15, 17, 18, 21

Find the mean absolute deviation.

Step 1: Calculate the mean

The sum of the data is 96 total "likes" and there are 6 pictures.

\text{mean}=\dfrac{96}{6}=16

mean= 96/6=16

start text, m, e, a, n, end text, equals, start fraction, 96, divided by, 6, end fraction, equals, 16

The mean is 16

Step 2: Calculate the distance between each data point and the mean.

Data point Distance from mean

10 |10-16|=6

15 |15-16|=1

15 |15-16|=1

17 |17-16|=1

18 |18-16|=2

21 |21-16|=5

Step 3: Add the distances together.

6+1+1+1+2+5=16

Step 4: Divide the sum by the number of data points.

\text{MAD}=\dfrac{16}{6}\approx2.67MAD=

MAD=16/6 =2.67 Likes

On average, each picture was about 333 likes away from the mean.

8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?

Answers

Answer:

8:6

Step-by-step explanation:

If 8 out of 14 students are boys then the remaining number of students must be girls

So

14-8= 6

There are 6 girls out of the 14

So as a ratio of boys to girls

8:6

Answer:

8 : 6 <or> 4 : 3

Step-by-step explanation:

8 : 6 <or> 4 : 3

Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.

Which expression is equivalent to the expression shown?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]Formula : a^{-x} = \frac{1}{a^x}[/tex]

[tex]3^7 \times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

Someone please help me

Answers

Answer=53,040

Explanation: $52,000*0.02=1,040

52,000+1,040=53,040

use the rule: y=-3x+2 to find the value of y if x=5​

Answers

Answer:

y = 13

Step-by-step explanation:

y = 3x + 2

y = - 3 ( 5 ) + 2 ( given :- x = 5)

y = - 15 + 2

y = 13

Answer:

-13

Step-by-step explanation:

y=-3x+2

Let x = 5

y=-3*5+2

  = -15+2

   = -13

Select the numbers that make the inquality true. selct all that apply. m > 0
A. 0
B. 1
C. 2
D. 3
E. - 1 ​

Answers

Answer:

1, 2, 3

Step-by-step explanation:

The probability of spinning an odd number, flipping heads and then spinning a 3 is?

Answers

Answer:  5/162

===================================================

Work Shown:

A = probability of landing on an odd number

A = 5/9 because there are 5 odd numbers out of 9 total

B = probability of getting heads

B = 1/2

C = landing on 3 on the spinner

C = 1/9

Multiply the values of A,B,C

A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162

Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%

Find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4

Answers

Tn = ar^n-1
T6 = 4 x (2/3)^5
T6 = 4 x 32/243
T6 = 128/243

Regards,
Armycee:)

What is the weight of a science book if its mass is 250g​

Answers

2.45 N

weight = mass x 9.8 m/s^2

Answer:

Here,

Mass ( m ) = 250g = (250/1000) kg =0.25 kg

g =9.8 m/s^2

Weight ( W ) = ?

We know that,

Weight ( W ) = m*g [Where g is acceleration due to gravity]

                   = (0.25*9.8) N

                    = 2.45 N

Hope it helps!

is this right im confused

Answers

Yes that is correct good job

What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?

Answers

Answer:

-5, -3

Step-by-step explanation:

Find the sum of the first 10 terms of the following series, to the nearest integer.
40, 32, 128/5,...

,...

Answers

Answer:

answer for this solution is 179

Answer:

the answer is 175 for this solution

What is the number of gallons


A.3.5 gallons

B.3 gallons

C.4.5 gallons

D.1.5 gallons

Answers

Answer:

B. 3 gallons

Step-by-step explanation:

If two gallons cover 800, divide in half to get one gallon. One gallon would be 400. 400 goes into 1200 three times, so thats how many gallons you need.

I'LL MARK BRAINLIEST !!!

A temperature was 5º on Monday. On Tuesday, the temperature was -4º. What is the difference of the two temperatures?

Answers

Answer:

WHEN YOU COMPARE THE TEMPERATURE ON MONDAY TO THE TEMPERATURE ON TUESDAY, THE TEMPERATURE ON TUESDAY IS COLDER.

A motorboat moves across a lake at a constant speed. When it begins it is 64 km from shore after 17 mins it is 30km from shore which function describes the motorboat distant from shore

Answers

Step-by-step explanation:

I think it is either 28⅛ or 60

4(2.25w+3.1)-2.75w=44.9

Answers

Answer:

w = 5.2

Step-by-step explanation:

4(2.25w + 3.1) - 2.75w = 44.9

9w + 12.4 - 2.75w = 44.9

6.25w + 12.4 = 44.9

6.25w = 32.5

w = 5.2

4(2.25w+3.1)-2.75w=44.9

9w+12.4-2.75w=44.9

9w-2.75w+12.4=44.9

44.9-12.4=32.5

9w-2.75w=32.5

6.3w/6.3=32.5/6.3

=5 10/63

An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.

a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.

Answers

Answer:

(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

Step-by-step explanation:

According To the Question,

Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.

Hong has worked as a nurse at the hospital for 5 years longer then her friend Bill and 2 years ago she been there twice as long as him how long has they both been there

Answers

Answer:

Hong 12 bill 7

Step-by-step explanation:

answer is in photo above

You are standing 30 meters from a hot air balloon that is preparing to take
off. The angle of elevation from you to the top of the hot air balloon is 28º. Find the
distance from you to the top of the balloon. (Round to two decimal places)

Answers

Answer:

The distance to the top of the balloon is approximately 33.977 meters

Step-by-step explanation:

The (horizontal) distance from the hot air balloon from the observer, l = 30 m

The angle of elevation to the top of the balloon, θ = 28°

With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;

d = The hypotenuse side

l = The leg adjacent to the reference (given) angle,

h = The leg opposite to the given angle, θ

By trigonometric ratios, we have;

[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]

From which we get;

[tex]cos\angle \theta = \dfrac{l}{d}[/tex]

[tex]cos(28^{\circ}) = \dfrac{30 \ m}{d}[/tex]

[tex]d = \dfrac{30 \ m}{cos(28^{\circ}) } \approx 33.977 \, m[/tex]

The distance to the top of the balloon, d ≈ 33.977 m

A batch of granola uses 2 cups of honey to make 24 servings.
How much honey is needed to make 42 servings?

Answers

3.5 cups of honey will be needed
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