Five members of a mystery-book club each read a 1,296-page book. Nine members of a fantasy-book club each read a 398-page book. How many more pages did the mystery-book club read than the fantasy-book club? Select all the correct equations or set of equations that could be used to solve the problem.

Answer:

This method is incorrect.

Step-by-step explanation:

The student's understanding of an exponent -1 is correct, but applying it to the inverse function f^-1(x), is wrong.

The method to find inverse function is to replace f(x) with y, switch x and y, then solve for y.

To use the (incorrect) "simple method" Put a 1 on top and move the function to the bottom (denominator).

For example, let's look at the function f(x) = x+3

Write y in place of f(x).

y = x + 3

Switch x and y.

x = y + 3

Solve for y.

Subtract 3.

x - 3 = y

Rewrite.

y = x - 3

This is the proper inverse function.

f^-1 (x) = x - 3

Using the (incorrect) "simple method"

f(x) = x + 3

f^-1(x) = 1/(x+3)

This shows that the shortcut doesnot work, its wrong. To do it correctly, switch x and y and solve for y.

Answer:

60 marshmallows and 30 crackers

Step-by-step explanation:

Each girl brought a bag of marshmallows containing 30 marshmallows inside. 2 x 30 = 60 marshmallows altogether.

Since there are 15 s'mores, we have to distribute the marshmallows equally.

60 ÷ 15 = 4 marshmallows in each. But if we multiply that again ( 15 x 4 ) we get 60 again. Thus, they used 60 marshmallows altogether.

The girls make 15 smores. A s'more has two crackers inside one.

2 x 15 = 30 crackers.

Hope this helped.

Answer:

60 marshmallows and 30 crackers

explanation:

1. 15 x 4 = 60

60 divided by 15 = 4

2. 15 x 2 = 30

Answer:

I think AC is 6.

Step-by-step explanation:

This looks like an equilateral triangle so that means because there is a 3 on  one side of the line it should be the same on the other side of the line so 3 x 2 = 6.

Step-by-step explanation:

[tex]triangle \: abd \\ using \: pythagoras \: theorem \\ {hyp}^{2} = {adj}^{2} + {opp}^{2} \\ {12}^{2} = {3}^{2} + {opp}^{2} \\ 144 = 9 + {x}^{2} \\ 144 - 9 = {x}^{2} \\ 135 = {x}^{2} \\ take \: the \: square \: of \: both \: sides \\x = 11.62[/tex]

using the opposite side of triangle and

[tex]using \: pythagoras \: theorem \\ {16}^{2} = {11.62}^{2} + {x}^{2} \\ 256 = 135.02 + {x}^{2} \\ 256 - 135.02 = {x}^{2} \\ 120.198 = {x}^{2} \\ take \: the \: roots \: of \: both \: sides \\ x = 10.96[/tex]

therefore the length of line AC

[tex] = 3 + 10.96 \\ = 13.96[/tex]

hope this helps

Answer:

yes its 18

Step-by-step explanation:

count the dots

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

ans: 75

Find the area of a rectangle in square inches with a length of 15 inches and a width of 5 inches in sq. inches.

__________________________________________________________

ans: 113.10

Find the area of a circle with a diameter of 12 inches in square inches.

Answer:

3/2

Step-by-step explanation:

Answer:

3/2 because when you multiply it it is equal to ilove you

Answer:

Question 1:

So you have 80 gummies and take 2 a day for 40 days

2(40) = 80

So at the end of 80p days, 0 gummies will be left

Question 2:

Now you have 90 and take 3 a day for 40 days

3(40) = 120

You will not have enough to cover the entire 40 days if you take 3 a day.

Hope this helps :)

Answer:

See below ~

Step-by-step explanation:

Question #1

Question #2

Answer:

you would be correct in the second option, unknown

Step-by-step explanation:

anonymous is another word for unknown, i learned this in gamer talk ;P

Answer: Unknown.

Step-by-step explanation: When any author is anonymous whether they write myths, legends, short stories, etc, it means that their name is hidden or unknown.  If you looked it up online, it would tell you this, "(of a person) not identified by name; of unknown name."  Therefore, anonymous means an author not identified who is unknown.

Let me know if this is right! :)

Answer:

19

Step-by-step explanation:

231 - 7a = 98 = -7a + 231 = 98

Subtract 231 from both sides to get -7a = -133

Divide by -7 on both sides to get a = 19

Answer:

a = 19 is the correct solution.

Step-by-step explanation:

Step 1 : Start by simplifying both sides of the problem.

231 − 7a = 98

231 + − 7a = 98

−7a + 231 = 98

Step 2 : Next step is to subtract 231 from both sides

−7a + 231 − 231 = 98 − 231

−7a = −133

Step 3: Finally, divide both sides by -7.

( When I use the symbol /, it signifies I'm dividing.)

-7a/-7 = -133/-7

-133 divided by -7 equals 19

This shows that a = 19. I hope this helps! :D  

Answer:

Step-by-step explanation:

1Bothlineparrell
The The 80-(A

Answer:

First choice

Step-by-step explanation:

X= - 2/3; - 20/9

Answer:

695

Step-by-step explanation:

Answer:

96

y-step explanation:

volume of 1cm cubes = 1 x 1 x 1 = 1 cm^3

so it will take 96 cubes to fill the prism

Answer:

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given Equation,

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4=2x-6}}}}}}} \\ \\[/tex]

Subtracting 4 from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4 - 4=2x-6 - 4}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x-10}}}}}}} \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x - 2x= 2x-10 - 2x}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 2x= -10 }}}}}}} \\ \\[/tex]

Dividing 2 from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = - \frac{10}{2} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { x= -5 }}}}}}} \\ \\[/tex]

Therefore,

The function is a linear function, and the equation of the function when squared is (f(x))² =25(4x²)

The equation of the function is given as:

f(x) = 5(2x)

When the function is squared, we have:

(f(x))² =(5(2x))²

Evaluate the exponent

(f(x))² =25(4x²)

Hence, the equation of the function when squared is (f(x))² =25(4x²)

Read more about functions at:

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Answer:

x=-4

y=2

Step-by-step explanation:

y= 14+3x

2x+3y =-2

2x+3(14+3x) =-2

x= -4

y= 14+3(-4)

y=2

Answer:

(a)    T(t) = 60 + [tex]38.6e^{-0.1947t}[/tex]

(b).    t≅ 6 hours

Step-by-step explanation:

Find detailed explanation the above answer.

Answer:

Answer:

-13

Step-by-step explanation

Rounded to the nearest 0.01 or

the Hundredths Place.

Answer:

84.78 inches cubed  - hope this helped :)

Step-by-step explanation:

formula - πr^2[tex]\frac{h}{3}[/tex]

3 x 3 x 3.14 = 28.26

28.26 x 9/3

28.26 x 3

answer = 84.78

Answer:

84.78 inches cubed

Step-by-step explanation:

You need to comprehend the volume formula for cones

Volume Formula for Cones: V=1/3hπr²

Your measurements:

9 inches for height

3 inches for radius

**Radius is half of a circle and diameter is full of the circle/base.***

Equation:V=1/3 x 9in x π x 3²

You should do 3 squared first so that you can input it into your calculator easily.

V=1/3 x 9in x π x 9

Now on a calculator do 1 divided by 3 which is the "1/3" in the formula.

Then multiply 9, 3.14 for pi, and 9 for radius.

Note: You should do 3.14 for pi not the whole pi symbol on the calculator.

Your answer: 84.78 in cubed

Answer:

D

Step-by-step explanation:

im too lazy to type so i write it out instead

Answer:

A

Step-by-step explanation:

-7 is the farthest left on the number line so it is the least value

-5 is the second least value on the numberline

then 0

1/4

and 1/2

the least value is on the left and the greatest is on the right

so the answer is A

Answer:

56.25    units^3

Step-by-step explanation:

To find the volume, multiply the three dimensions

3.75 * 3 * 5 =

Answer:

the sports players drank 13 cups

Step-by-step explanation:

1 cup equals 0.25 quarts which means 1 quart would equal 4 cups. This means there were 16 cups in total during the game. If there were only 3 cups left afterwards, that means 13 of the 16 cups were taken.

Answer:

The answer is

Step-by-step explanation:

142

=

3

x

+

7

=

5

x

⋅

9

=

45

x

142

°

=

45

x

Answer:

12 cubic cm

Step-by-step explanation:

[tex]V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} [/tex]

It is given that: prism is completely filled with 96 cubes.

[tex]\implies \: V_{prism} =V_{96\: cubes}[/tex]

[tex]\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}[/tex]

Answer:

              vertex

ray

Step-by-step explanation:

The point where the rays intersect, upper right, is the vertex.

One side of the angle, bottom left, is a ray.

Answer:

Because of the ratio in 2 becomes 3-1 is 2

Answer:

9

Step-by-step explanation:

If it takes 162 minutes each night to clean all 6 ovens, and each staff member works for 18 minutes each then we have to use division to find out how many staff members it will take to clean the ovens.

First we have to divide 162 by 18 which equals 9. This is a one step problem, so 9 is the answer.

It will take 9 staff members to clean all 6 ovens.

Happy Holidays

It takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.

Given that total cleaning time is 162 minutes

Time per staff member is 18 minutes

To find the number of staff members (N), we divide the total cleaning time by the time per staff member:

N = Total cleaning time / Time per staff member

N = 162 minutes / 18 minutes

N = 9

Therefore, it takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.

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