1. Bill decided to buy six books on history instead

of four books on politics. It follows, then, that

the opportunity cost of each history book was ______

books on politics.

Answers

Answer 1

Answer: 2/3 books on politics

Step-by-step explanation:

The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.

Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.

= Number of politics books / Number of history  books

= 4 / 6

= 2/3 books on politics

Bill gave up 2/3 books on politics to get a single history book.


Related Questions

2x -2=x-
I’ll give 30 points

Answers

Answer:

Step-by-step explanation:

2x - 2 = x

Bringing like terms on one side

2x - x = 2

x = 2

Answer:

I'm assuming you meant to put (-x) instead of (x-)

x = 2/3

In the game “Sandwich” three cards are dealt from a 52-card deck. To win, the value of the third card must be between the first two cards. What is the probability of winning given the first two cards dealt are a 6 and a 10?

Show ALL work!!!

Answers

Answer:

[tex]\frac{3}{13} ,\frac{12}{52}[/tex]

Step-by-step explanation:

In a 52 card deck there a 4 of ech individual card

There are 3 card values between 6 and 10, (7,8,9)

[tex](3)(4)=12[/tex]

12 out of the 52 cards could win the game, so there is a probability of

[tex]\frac{12}{52}[/tex]  [tex]or[/tex] [tex]\frac{3}{13}[/tex]

plz mark me brainliest. :)

Two functions are graphed on the coordinate plane.

On a coordinate plane, a curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A straight horizontal line, labeled f of x, crosses the y-axis at (0, 4).
Which represents where f(x) = g(x)?

f(4) = g(4) and f(0) = g(0)
f(–4) = g(–4) and f(0) = g(0)
f(–4) = g(–2) and f(4) = g(4)
f(0) = g(–4) and f(4) = g(–2)

Answers

Answer:

Answer:

(B) f(-4)=g(-4) and  f(0)=g(0)

Step-by-step explanation:

From the given graph, the lines f(x) and g(x) intersects at two different points.

When x=-4, f(-4)=4 and g(-4)=4

When x=0, f(0)=4 and g(0)=4

Therefore, the points which represent where f(x)=g(x) are:

f(-4)=g(-4); and

f(0)=g(0)

The correct option is B.

Answer: B - f(–4) = g(–4) and f(0) = g(0)

PLSSSSS HELPPP

Question : If you are given the decimal division problem 7.89 ÷ 3 and find that the answer is 2.63, how can you use multiplication to check that your answer is correct? (What numbers would you have to multiply together?)

Answers

Do 2.63 x 3 to check ur answer

Use the expression 5a – 2b – 3 + 2b – 6a.

Part A

Simplify the expression.
–4
2a – 4b
–a – 3
a – 3
Part B

Which of the following is an equivalent expression?
–(3 + a)
–a + 3
–(a – 3)
–3 + a

Answers

Answer:

5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)

Step-by-step explanation:

Which ordered pair is the solution to the system of linear equations y = 5x+8 and Y = -4x-1?

Answers

Answer:

(-1, 3)

Step-by-step explanation:

If you graph both lines, the point where they intersect is (-1,3)

Isabella and her cousin Rodrigo have the same birthday but isabella is 15 years older than Rodrigo the equation y= x + 15 represents isabella's age y, when Rodrigo is x years old what is the answer?.

Answers

Answer:

The answer is below

Step-by-step explanation:

Isabella and her cousin rodrigo have the same birthday, but isabella is 15 years older than rodrigo is x years old. which table of value shows this relationship

Solution:

Let x represent Rodrigo's age and let y represent Isabella's age. Since Isabella is 15 years older than Rodrigo, hence her age is given by the equation:

y = x + 15

You can use a table to represent the relationship between their ages. Let us find the corresponding Isabella age for the following Rodrigo age.

Rodrigo:     10         20            30

Isabella:      25        35           45

When x = 10:   y = x + 15 = 10 + 15 = 25

When x = 20:   y = x + 15 = 20 + 15 = 35

When x = 30:   y = x + 15 = 30 + 15 = 45

Use the distributive property to find the value of x.

-1.2(3 – x) = -1.8

-3.6 + 1.2x = -1.8

1.2x = 1.8

X= ?

Answers

Answer:

1.5

Step-by-step explanation:

-1.2(3-×)=-1.8

-3.6+1.2×=-1.8

1.2×=3.6-1.8

1.2×=1.8

1.2/1.2×=1.8/1.2

×=1.5

Write an algebraic expression for the following word expression.

13 more than the product of m and 3

Evaluate the expression for the value of the variable: 6

Answers

Answer:

3m + 13 = 31 I hope this helps you!

Simplify the expression: (7x + 4)(2) = ​

Answers

Answer:

14x+8

Step-by-step explanation:

Which set of numbers has 21 as a common factor?
{126, 168, 189}
{42, 88, 126}
{84, 105, 132}
{40, 63, 210}

Which set of numbers has 11 as a common factor?
{143, 221}
{154, 231}
{77, 91}
{33, 39}

Answers

The set {126, 168, 189} has  21 as a common factor.

The set{154, 231} has  11 as a common factor.

Common factor:

If a number m is completely divisible by number n. Then number n will be the one factor of number m.

(a). Given set of number is, {126, 168, 189}

Now check,  21 is a common factor or not.

 [tex]\frac{126}{21}=6,\frac{168}{21}=8,\frac{189}{21}=9[/tex]

It is observed that all numbers are completely divisible by 21.

So that , 21 is common factor.

(b). Given set of number is, {154, 231}

      [tex]\frac{154}{11}=14,\frac{231}{11}=21[/tex]

It is observed that all numbers are completely divisible by 11.

Learn more about the common factor here:

https://brainly.com/question/219464

Sydnie scored 74 points in Round Two of a talent competition. This is 7 points less than three times her score in Round One. Which equation should be used to find Sydnie’s score in Round One?

Answers

the correct answer would be, 74+7x3 which equals 95. her score in round 1 was 95 points.

The smiths bill at a restaurant is $85 how much money should Mr. Smith leave as a tip if he plans to tip 20%

Answers

Answer:

102.00

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Answer: Mr. Smith should tip $17

Step-by-step explanation:

20% = 0.2

$85 × 0.2 = $17

3x -4y = 13 y = -3x-7

Answers

Step-by-step explanation:

3x-4y=13

y=-3x-7

3x-4(-3x-7)=13

3x+12x+28=13

15x=-15

x= -1

y= -3x-7 = 3-7= -4

( -1, -4)

What is the perimeter of this triangle? 16 ft 8 ft 4 ft 12 ft

Answers

Answer:

40

Step-by-step explanation:

16 + (4+12) = 32 + 8 = 40

Help me ASAP pleaseeee

Answers

Answer:

no

yes

no

yes

Step-by-step explanation:

PLEASE HELP I NEED MORE PLEASE WORTH 1O POINTS

Answers

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer:

6. is b

Step-by-step explanation:

Calculate the percent yield if 500 grams of C7H8 makes 255 grams of C7H7NO2

1 C7H8 + 1 HNO3 = 1 C7H7NO2 + 1 H2O

This is urgent

Answers

I’m still thinking about it
500/92 = 5.43 mol of C7H8
1:1 mol ratio
Mass = mol x Mr = 5.43 x 137 = 743 g (theoretical yield)
Percentage yield = ( actual yield / theoretical yield ) x 100
500/743 x 100 = 67.3% 1dp

¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?​

Answers

se necesitan 8 envases

denada

What is the area of a parallelogram that has a base of 12 inches and a height of 8 inches?

Question 1 options:

96 square inches


1.5 square inches


20 square inches

Answers

Answer:

96 square inches

Step-by-step explanation:

Given in a parallelogram

base (b) = 12 inches

height (h) = 8 inches

Now

Area of parallelogram

= b * h

= 12 * 8

= 96 square inches

Hope it will help :)

Answer:

96

Step-by-step explanation:

Area= base x height

       = 12 x 8

       = 96

Since Area of parallelogram is base into height

Tell whether the ratios form a proportion. 30/75, 24/60

Answers

Given:

The ratios are  [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].

To find:

Whether the ratios form a proportion or not.

Solution:

If two ratios represent the same relationship then they form a proportion.

We have,

[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]

Write the given ratios in the simplified forms.

[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]

[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]

And,

[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]

[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]

Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.

Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from the bottom of the tent as shown below. How many feet long, R, is the rope?

Answers

Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]

Which means :

[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]

[tex] =\tt {R}^{2} = 36 + 64[/tex]

[tex] = \tt {R}^{2} = 100[/tex]

[tex] =\tt R = \sqrt{100} [/tex]

[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet

what's value of
[tex] \sqrt{225} [/tex]

Answers

Answer:

15

Step-by-step explanation:

the square root of 225 is 15 there are steps

Answer:

√225=√15²=±15 is your answer

Find the mean of 65, 67, 69, 67, 63, 60,60

Answers

Answer:

64.428

Step-by-step explanation:

well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence

so if we add all of the numbers up it will give us

451

then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with

around 65 or exactly it would be

64.428

Typing for points hhgfdhhfvnkkkj

I need help with this question for my math hw. Please Help!

Answers

9514 1404 393

Answer:

  1. 2x +2y = 310; x -y = 55

  2. y = 50, x = 105

Step-by-step explanation:

Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...

  2x + 2y = 310

The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...

  x - y = 55

__

We can divide the first equation by 2, and subtract the second.

  1/2(2x +2y) -(x -y) = 1/2(310) -(55)

  2y = 100 . . . . . . . simplify

  y = 50 . . . . . . . . . divide by 2

  x -50 = 55   ⇒   x = 105 . . . . use the second equation to find x

The two numbers are 105 and 55.

A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?

Answers

Answer:

42

Step-by-step explanation:

trust me i had the same answer and it was right

Use the algebraic expression below to identify the following parts of the
expression. VARIABLES *
- 3x – 2x + 16 + 5 – 8 + x

Answers

Answer:

−4x+13

Step-by-step explanation:

collect like terms: (−3x−2x+x)+(16+5−8)

Answer:

-3x-2x-x+16+5-8=-4x13

I will give brainlest.

Answers

Answer:

it is option A hope it helps

solve using a2 + b2 = c2
show ur work please :)

Answers

So 90^2+90^2=c^2
8100+8100=c^2
16200=c^2
C= ~127.28

Put these numbers in order from least to greatest.

-10/20, 7 3/30, 0.2

Answers

-10/20, 0.2, 7 3/30

in order from least to greatest
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