All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?

Answers

Answer 1

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5


Related Questions

What is the radius of a circle that has an area of 89 square feet?

Answers

Answer:

5.32255ft

Step-by-step explanation:

A

π=89

π

Answer:

5.3

Step-by-step explanation:

The equation is A=πr²

The area is 89 so 89=πr²

89/π=r²

√89/π =r

r=5.322554

what's the circumference of a circle with the radius of 7 ft use 3.14 for π​

Answers

Answer:

7 x 3.14 x 2 = 43.96 ft

Step-by-step explanation:

Formula of Circumference:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter

ASAP PLEASE
-WILL MARK BRIANIST

Answers

Answer:

D

Step-by-step explanation:

A. 9x9 = 81

B. 2x2x2x2x2 = 32

C. 10x10 = 100

D. 5x5x5x5 = 625

Answer:

5⁴ has the greatest value

Step-by-step explanation:

9² = 9 x 9 = 81

2⁵ = 2 x 2 x 2 x 2 x 2 = 32

10² = 10 x 10 = 100

5⁴ = 5 x 5 x 5 x 5 = 624

Therefore, 5⁴ has the greatest value!

Hope this helps!

plz help right now illl give brainlist 5.0 and say thanks

Answers

4+4+1 is the answer

Answer: 4+4+1

Step-by-step explanation: 4+4+1=4+5

Hope this helps!

Could I get help as soon as possible?

Answers

Answer:

(0, 0)

Step-by-step explanation:

It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.

Identify the slope and y-intercept of the following line: 2y + 4 =-6x

Answers

Answer:

y = -3x - 2, the slope is -3 and the y-intercept is -2

Step-by-step explanation:

2y +4 = -6x and minus the four to get 2y alone

Then divide -4 and -6x by 2 to get y = -3x and -2

solve the equation. which out of the four choices is correct

Answers

ANSWER = -10
good luck :)))))

What does the abbreviation CD stand for?

Answers

The abbreviation CD stands for "Compact Disc."

A compact disc is a small, portable, round disc that is used for storing and playing back digital audio, video, and other types of data. It was introduced in the early 1980s as a replacement for vinyl records and cassette tapes.

A CD is made up of a polycarbonate plastic layer that is coated with a reflective metal layer and protected by a clear plastic layer. Information is stored on the disc in the form of tiny pits and lands that are read by a laser beam in a CD player or computer CD-ROM drive.

CDs have a storage capacity of up to 700 MB, which allows for around 80 minutes of audio or several hours of compressed video. They are commonly used for storing music albums, software programs, and other types of multimedia content.

In addition to audio CDs, there are also CD-ROMs (read-only memory), CD-Rs (recordable), and CD-RWs (rewritable). CD-ROMs are pre-recorded discs that cannot be modified, while CD-Rs and CD-RWs can be burned or written with data by the user. CD-Rs can only be written once, while CD-RWs can be erased and re-written multiple times.

Overall, the abbreviation CD refers to the Compact Disc, a versatile medium for storing and playing back digital data.

For more Questions on Compact Disc

https://brainly.com/question/15720824

#SPJ8

help? could someone help me with this?

Answers

Answer:

A, C, And F

Step-by-step explanation:

Please help!!! Confused.

Answers

Answer:

[tex] {x}^{2} + 11x + 30[/tex]

Step-by-step explanation:

Area is length x width

The length is

[tex](x + 6)[/tex]

The width is

[tex](x + 5)[/tex]

Multiply both using FOIL Method

[tex](x + 6)(x + 5)[/tex]

[tex] {x}^{2} [/tex]

[tex]6 \times x = 6x[/tex]

[tex]5 \times x = 5x[/tex]

[tex]6 \times 5 = 30[/tex]

Write in standform form

[tex] {x}^{2} + 6x + 5x + 30[/tex]

[tex] {x}^{2} + 11x + 30[/tex]

HELP ME PLEASE...................................

Answers

The answer would be B

X désigne un nombre quelconque. Exprimer à l'aide d'une expression littérale : a. La somme de x et de 12 b. Le produit de x par 5 c. La différence entre 17 et x d. Le quotient de x par 9

Answers

Answer:

L'expression littérale est la suivante

a) La somme de x et 12 b

Solution

X + 12b

b) Le produit de x par 5

Solution

X * 5

c) La différence entre 17 et x

Solution

17-X

d) Le quotient de x par 9

X / 9

Step-by-step explanation:

L'expression littérale est la suivante

a) La somme de x et 12 b

Solution

X + 12b

b) Le produit de x par 5

Solution

X * 5

c) La différence entre 17 et x

Solution

17-X

d) Le quotient de x par 9

X / 9

PLEASE HELP! WILL MARK BRAINLIEST!


The path of a seat on a new Ferris wheel is modeled by x = –25sin(StartFraction pi Over 30 EndFraction t) and y = –25cos(StartFraction pi Over 30 EndFraction t) + 30, where distances are measured in feet. What is the maximum height a rider will experience?


50 feet

55 feet

60 feet

80 feet

Answers

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

this is solid figure has six equal faces 12 edges and 8 vertices

A.rectangular prism
B.cube
C.cone
D.cylinder​

Answers

Answer:

cube because it has six equal facwes

Find the surface area.

Answers

1848
good luckk :)))

Solve each system by elimination.
3) -4x+6y=-14
4x – 8y = 16
A) (2, -1)
B) (-1,2)
C) (4,1) D) (2, 1)

Answers

Answer:

M=2/3

m=1/2

Step-by-step explanation:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0

Answers

Answer:

5x2 + 20x + 32 = 0 - 16977324

Step-by-step explanation:

what is the mean of the following data values? 53,71,89,10,87

Answers

Answer:

63

Step-by-step explanation:

Mean=Sum of all values/number of observation

=53+71+89+10+87/5

=310/5

=62

It's 62

Just took test

whats the length of the third side? round to the nearest tenth if u need to

Answers

the length is seven (7)

Find the distance between the two endpoints.
(-6, 1) and (-3, 1)

Answers

Answer:

3

Step-by-step explanation:

distance formula

Please answer the following question:

Answers

25.136 or 25.1

To find area take circumference x pie (3.142). And to find circumference it’s radius x 2
So to find area it would be ( 4x2)3.142=25.136
Or 8x3.142=25.136

If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps

Answers

Answer:

x = 13/12

Step-by-step explanation:

explain on image

Hxhxhhdhfhdhdhdgdgdgddggzgzsgsggddxnxhdbfbffbhfhrhffhfhhfhfhffjjfjfnf

Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
O 11 + 14m
18 + 5m

Answers

Answer:

18+45m

Step-by-step explanation:

You multiply when applying the distributative property:

9(2+5m)

18+45m multiply 9 by each value in parentheses

A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%

Answers

Answer: #444

Step-by-step explanation:

First find the original selling price of the article.

When sold for #372 the profit was 24%. Assume the original price is x.

372 = x + 24% * x

372 = 1.24x

x = 372 / 1.24

= #300

If he wanted to make a profit of 48% he should have sold for:

= Original price + (original price * 48%)

= 300 + (300 * 48%)

= #444

#3 Find the r and the surface area

Answers

Answer:

r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.

To find surface area we use the basic formula:

4πr^2

4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area

What's the gradient of y=3x+1

Answers

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

Find the value of x.

Answers

Answer:

x=67º

Step-by-step explanation:

First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º

What is the area of the rectangle

Answers

Answer:

B) [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = [tex]2\frac{1}{2}[/tex]

h = [tex]1\frac{1}{2}[/tex]

Work:

A = bh

A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]

A = [tex]\frac{15}{4}[/tex]

To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?

Answers

Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

Pls help is it; (1.5, 2) or no solution

Answers

Answer:

no solution?

Step-by-step explanation:

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