Mica and Denise are reading the same novel. Mica has read 1/2 of the novel, and Denise has read 2/5 of the novel. If Mica has read 216 pages more than Denise, how many pages are totally for this novel?

Answers

Answer 1

Answer:

The novel has 2160 pages.

Step-by-step explanation:

The number of pages of the novel is x.

Mica has read 1/2 of the novel, so x/2 = 0.5x.

Denise has read 2/5 of the novel, so 2x/5 = 0.4x.

Mica has read 216 pages more than Denise

This means that:

0.5x - 0.4x = 216

0.1x = 216

x = 216/0.1

x = 2160

The novel has 2160 pages.


Related Questions

Write the explicit formula for the sequence.
2, 4, 6, 8, 10, ...

Answers

Answer:

a(n) = 2 + 2(n - 1)

Step-by-step explanation:

Since each new term is derived from the previous term by adding 2, this is an arithmetic sequence, and the "common difference"  is 2.

Then a(n) = 2 + 2(n - 1)

What is the rate of change

Answers

Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

[tex]\frac{0 - 0}{-2 - 2}[/tex]

Solve.

0 - 0 = 0

-2 - 2 = -4

[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0

Can someone pls answer this if u do then I love u

Answers

Answer:I think it’s a

Step-by-step explanation:

I believe it’s C. The mean will increase and the median will remain the same.

Pretty please for a homie

Answers

Slope is -2
_______
Y+4=-2x+8
Y=-2x+4

Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Price of one drink is $9.25

Step-by-step explanation:

Let the price of a bag of popcorn be p.

Let the price of a drink be d.

Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:

2p + 2d = 39 ____________(1)

Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:

8p + 10d = 174.50 _________(2)

We now have two system of equations which we can use to find the price of a bag of popcorn and drink:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Multiply (1) by 4 subtract from (2):

 8p + 10d = 174.50 _______(2)

- 8p + 8d = 156    __________(1)

        2d = 18.50

=>       d = $9.25

The price of one drink is $9.25

Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?

Answers

Step-by-step explanation:

An=A1. R raised to the power n-1

Ethan has partially filled the prism with 8 unit cubes. How many more cubes does he need to fill the prism completely A:10 B:15 C:19 D:21 Help me please!!!???!

Answers

Corrected Question

Ethan has partially filled the prism with 8 unit cubes.

A rectangular prism with length, height, and width of 3.

How many more cubes does he need to fill the prism completely?

Answer:

(C)19

Step-by-step explanation:

First, we determine the volume of the rectangular prism

Volume of a rectangular prism = Length X Height X Width

=3 X 3 X 3=27 cubic units

Volume of the Cube=1 cubic unit

The number of unit cubes that will fill the rectangular prism = 27

Ethan has partially filled the prism with 8 unit cubes, we subtract 8 from 27 to determine the number left to fill the prism

27-8=19.

Therefore, Ethan will need 19 more cubes to fill the rectangular prism.

The correct option is C

What is the value of 98.84 divided by 14​?

Answers

Answer:

7.06

Step-by-step explanation

i just searched for calculator put in the problem

Hope that helps :)

f(n)=93+4(n-1) Complete the recursive formula of f(n)

Answers

Answer:

f(1) = 93

f(n) = f(n - 1) + 4

Step-by-step explanation:

The recursive formula for an arithmetic sequence is given as:

f(1) = a

f(n) = f(n - 1) + d

where a = first term and d = common difference

An arithmetic sequence is in the form:

f(n) = a + d(n - 1)

where a = first term and d = common difference

The common difference in f(n) = 93 + 4(n-1) is 4.

The first term is 93.

The recursive formula is therefore:

f(1) = 93

f(n) = f(n - 1) + 4

Answer:

f(1)=93

f(n)=f(n-1)+4

Step-by-step explanation:

As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.

A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How long will the dolphin be in the air?

Answers

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex

[tex]h = -8(t-0.5)^{2}+2[/tex]    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

help plssssssssssssssssss

Answers

Answer:

80

Step-by-step explanation:

BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE

BRAINLEST PLEASE

The measure of a straight angle (2x+50) (6x+2)

Answers

Answer:

see below

Step-by-step explanation:

If the two angles form a straight angle, their sum is 180

2x+50  + 6x+2 = 180

Combine like terms

8x +52 = 180

Subtract 52 from each side

8x+52-52 = 180-52

8x =128

divide each side by 8

8x/8 = 128/8

x =16

2x+50 = 2(16)+50 = 32+50 = 82

6x+2 = 6(16)+2 =96+2 = 98

The graph of f(x)= x is translated 3 units down to form the graph of g(x). Which of the following is g(x)
Answers :
A: g(x)= -3x
B: g(x)= 3x
C: g(x)= x - 3
D: g(x)= x + 3

Answers

Answer:

I'll edit the answer and try to answer it, but where is the graph?

Answer:

C: g(x)= x- 3

Step-by-step explanation:

translated 3 units down means you go 3 down on the y-axis. Therefore it is g(x)= x-3

The question on the bottom

Answers

Answer:

9th grade student=33.3%, unit 7=45%

Step-by-step explanation:

Help me it’s urgent

Answers

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?

0.2

0.1

0.8

0.9

Answers

Answer:

0.8

Step-by-step explanation:

A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units.

Answers

Answer:

x=6

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

44 = 1/2 (2x-4)(x+5)

Multiply the 1/2 time (2x-4)

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

FOIL

44 = x^2 +5x -2x-10

Combine like terms

44 = x^2 +3x -10

Subtract 44 from each side

0 = x^2 +3x -10-44

0 = x^2 +3x -54

Factor

What two numbers multiply to -54 and add to 3

9*-6 = -54

9+-6 = -3

0 = (x+9)(x-6)

Using the zero product property

x +9 =0    x-6 =0

x = -9          x = 6

The height cannot be negative so x cannot be -9

x=6

What happens if b = 0 in the general exponential function() = a
b
?

Answers

Answer:

It stays a zero or it turns into whatever the b or a is

Step-by-step explanation:

Determine the measure of the named angle below.
mZK

K
40°

Answers

Step-by-step explanation:

Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u

What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm

Answers

Answer:

The answer is 3cm

Step-by-step explanation:

The length of a diagonal of a cube with a side length of 1 cm is,

⇒ √3 cm

What is mean by Multiplication?

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A side length of cube is,

⇒ 1 cm

We know that;

The length of a diagonal of a cube with a side length of a cm is,

⇒ d = √3 × a

Here, a = 1

Hence, The length of a diagonal of a cube with a side length of 1 cm is,

⇒ d = √3 × 1

⇒ d = √3 cm

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

What type of correlation is shown by the graph?

Answers

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

The value of the expression 16 -2/4 is ______.

Answers

Answer:

8

Step-by-step explanation:

2/4 is equal to a half,so half of 16 is 8 so,you would do

16-8=8

2. Which situation leads to a unit cost of $4 per football ticket? (Hint: Find Unit Rate of Each)
A. $6 paid for 2 football tickets
B. $8 paid for 4 football tickets
C. 6 football tickets for $24
D. 10 football tickets for $50

Answers

Answer:

C

Step-by-step explanation:

A. 6/2=3

B. 8/4=2

C. 24/6= 4

D. 50/10=5

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?

Answers

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

The position of each boat can be modeled by a first order equation.

I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So

[tex]A(t) = 0 + 3t[/tex]

They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So

[tex]B(t) = 30 - 6t[/tex]

How soon will the boats meet?

This is t when:

[tex]A(t) = B(t)[/tex]

[tex]3t = 30 - 6t[/tex]

[tex]9t = 30[/tex]

[tex]t = \frac{30}{9}[/tex]

[tex]t = 3.33[/tex]

The boats will meet in 3.33 hours.

Which points are Coplanar and noncollinear. ?

Answers

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

Please I need help with this one

Answers

Answer:

$0.60

Step-by-step explanation:

Question 2 Please help. Find the arc length for the following:

Answers

9.4 would be your answer

Answer:

The answer is 9.4 units.

Could some one plz help me with this question
P.S ignore the answer choices their wrong

25 Points

Answers

Answer:

A

Step-by-step explanation:

The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]

[tex]1800(1.0125)^{24}\approx 2425.23[/tex]

Now, she invests this into a new account, and you can set up the following equation:

[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]

[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.

Hope this helps!

100 PTS:Please help me now plz plz

Answers

Answer:

x = 12

Step-by-step explanation:

We have a right triangle with hypotenuse 10 and the height 8.  Either the one on the left or the one on the right

We can find the base using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 +8^2 = 10^2

a^2  +64 = 100

Subtract 64 from each side

a^2 = 100 -64

a^2 = 36

Take the square root of each side

a = 6

Now a is 1/2 of the total base of the big triangle.  It is identical since the triangles are equal

x = 2 * a

x = 2*6 = 12

Answer:

x = 12

Step-by-step explanation:

Consider the right angle triangle with

base: x/2

height: 8

hypotenuse: 10

Using pythagoras theorem

10² = 8² + (x/2)²

(x/2)² = 100 - 64

(x/2)² = 36

x/2 = 6

x = 12

Please help meee for this equation

Answers

Answer:

9 (C)

Step-by-step explanation:

sqrt(15^2 - 12^2) =

sqrt(225 - 144) =

sqrt(81) =

9 (C)

Answer:

C. 9m

Step-by-step explanation:

Using the pythagorean theorem, you can find that the length of the last side is [tex]\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9[/tex]. Hope this helps!

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