John has 1010 items in his backpack, including 66 books. What is the probability that a randomly selected item from his backpack is a book?

There are a couple of different ways we can do this: change the fraction into a decimal or multiply by the reciprocal.

Change the Fraction Into a Decimal

---3/4 = 0.75

So, instead of using the fraction, we can put it into decimal form. We will need to move the decimal point in both numbers though, making our division problem as follows:

20096 / 75 = ?

---The decimal point was moved two places to the right in order to make the former fraction a whole number.

Multiply by the Reciprocal

---To find the reciprocal, switch the numerator and denominator, essentially "flipping" the fraction upside down.

Another way of dividing by fractions is multiplying by the reciprocal. For example, dividing a number by 3 is the same thing as multiplying by 1/3. We can do the same in this problem. Instead of dividing by 3/4, we can multiply by 4/3, making our problem look as follows:

200.96/1 x 4/3 = ?

Answer: 803.84 / 3 = 267.9467

Hope this helps!

Answer:

The ordered pair (1, 9) represents the unit rate as cost per pair of pants.

and

The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.

Step-by-step explanation:

hope this helped

the answer is 8

8j-5+j=67

8J +j

9J-5=67

    +5  +5

9J=72

  /9    /9

j=8

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple{ \rm{Let's \: solve→}}[/tex]

[tex] \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

6 inches

Step-by-step explanation: I did the test

Answer

HEY :) do you want hep with all f them or just some of the awnsers

Step-by-step explanation:

Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Harley is 8 years younger than India, hence:

x = y - 8.

Jessica is three times older than Harley, hence:

z = 3x.

The sum of the three ages is 88, hence:

x + y + z = 88.

x + x + 8 + 3x = 88

5x = 80

x = 16.

Hence:

y = x + 8 = 24.

z = 3x = 48

The ratio of Jessica's age to India's age is given by:

z/y = 48/24 = 2.

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Answer:

They are the same.

Step-by-step explanation:

1.1 and 1.10 are both the same, actually. There is just an extra 0 at the end. For example, 2 and 2.0 are the same, because 0 is 0, and it doesn't change your answer. The 0 could go on as in 1.100000000 but it will still equal 1.1 .

Hope this helped :)

Answer:

The volume is 288 ft^3

Answer:

288

Step-by-step explanation:

The formula for finding the volume is to find the side and then multiplying it by the width. (half of the base times length times width) So, you first find the area of the triangle.

9x4=36, 36/2=18.

Then, 16x18=288.

Answer:

Step-by-step explanation:

Out of 100 brownies ,4 were caramel.

Ratio of Caramel Brownies to Brownies: 4/100

If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as

Answer: 4% of the brownies were caramel

The time of motion of the frog after it jumped into air is determined as 0.8 second.

The time of motion of the frog is determined by solving the quadratic equation as follows;

60t - 75t² = 0

60t = 75t²

divide both sides by t

60 = 75t

divide both sides by 75

60/75 = t

0.8 s = t

Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.

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Answer:

i think 5 prisms are cool

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

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Answer:

<M = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.

The value of m for the given combination of two right-angle triangles will be 7√5.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the bigger right-angle triangle suppose the missing length is x.

By Pythagora's theorem,

(28 + 7)² = x² + m²

x² = 35² - m²                   (1)

In the smaller right-angle triangle,

x² = 28² + n²                   (2)

By comparing equations (1) and (2).

35² - m² = 28² + n²

m² + n² = 35² - 28²

In the smallest right-angle triangle,

m² = n² + 7²

n² = m² - 7²

By substitution,

m² + m² - 7² = 35² - 28²

2m² = 35² - 28² + 7²

m² = 245

m² = 7² x 5

m = 7√5.

Hence "The value of m for the given combination of two right-angle triangles will be 7√5".

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Answer:

Step-by-step explanation:

According to the graph we have

Their sum is

Answer:

Caden is 11 and Christina is 24.

Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24

So this means we know two ages 11 and 24.

The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.

I hope this helps!

Answer:

they all meet at them same poin

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Use (X, Y)

X being the horizontal line

Y being the vertical line

Answer:

x=x

Step-by-step explanation:

x=x because x has the same value as x

this is the graph for y =4x+2

Answer:

43646

Step-by-step explanation:

I did not know

Answer:

25 pounds

Step-by-step explanation:

both are 49. and one is 24.

49-24=25. which has to be the weight of the second suitcase.

Answer:

f(5) = 21

Step-by-step explanation:

Given:

[tex]f(0)=1[/tex]

[tex]f(n)=f(n-1)+n+1[/tex]

[tex]\implies f(1)=f(0)+1+1=1 + 1 + 1=3[/tex]

[tex]\implies f(2)=f(1)+2+1=3 + 2 + 1=6[/tex]

[tex]\implies f(3)=f(2)+3+1=6+3+1=10[/tex]

[tex]\implies f(4)=f(3)+4+1=10+4+1=15[/tex]

[tex]\implies f(5)=f(4)+5+1=15+5+1=21[/tex]

Answer:

7

Step-by-step explanation:

yep

Answer:

I think it would answer 7

Step-by-step explanation:

hope that helps

Answer:

  12. sometimes

  13. always

  14. always

Step-by-step explanation:

Exponential functions with a positive base are defined for all real numbers. Such functions will always have a positive value.

__

The larger the base, the faster the decay for x < 0. In that part of the domain, 2^x > 10^x. (sometimes)

__

See the initial comment. (always)

__

See the initial comment. (always)

Each function out of the given 4 functions has a horizontal asymptote.

An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.

Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.

Out of the given curves, for every curve limiting value of the function tends to infinity as y→0

So, each function out of the given 4 functions has a horizontal asymptote.

Therefore, each function out of the given 4 functions has a horizontal asymptote.

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Answer:

All of them

Step-by-step explanation:

Answer:

Each one 7.50 :)

Step-by-step explanation:

When we add, we can solve this!

7.50 + 7.50 = 15

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Each costs $7.50

Step-by-step explanation:

Given

Solving

Answer:

x = sqroot(122)

Step-by-step explanation:

First find the line that goes thru the middle of the shape. It is the hypotenuse of the bottom/left triangle. Use the pythagorean thm.

9^2 + 5^2 = h^2

81 + 25 = h^2

sqroot106 = h

Now sqroot106 is a leg in the right triangle that is on the top/right in the image.

Use pythagorean thm again.

4^2 + (sqroot106)^2

= x^2

16 + 106 = x^2

122 = x^2

sqroot122 = x

Answer:

Step-by-step explanation:

[tex]\sf \sqrt{x^{10}}=\sqrt{x^{2*5}}\\\\[/tex]

        [tex]\sf = \sqrt{(x^{5})^{2}}\\\\ = \sqrt{x^{5}*x^{5}}\\\\ = x^{5}[/tex]

The research is a one-tailed test because the company won't be sued if many minorities were hired.

In the context, the type I error will be deciding the company is discriminating or not. The type II error will be deciding the company is not discriminating when it is.

The power of the test is the probability of correctly detecting actual discrimination. The type of error that the company consider to be more serious is the type I error.

In conclusion, the type of error that job applicants might consider to be more serious is type II error.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know, slope (m) is equal to tan θ for a straight line :

[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]

[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]

So, we can say that it's a positive constant slope

Answer:

16 : 28

Step-by-step explanation:

If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.

28 - 12 = 16

So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.

I hope this helps! Have a lovely day!! :)

(brainliest is much appreciated!!)

Answer:

give they guy brainliest

Step-by-step explanation:

because hes right