Natalie gets pocket money from her mother and is
planning to buy a dress for her annual day celebrations
in school. Had she got $10 more pocket money from her
mom, the amount would have been 9 times the square of
the money she has now. How much money does she have
now?

Answers

Answer 1

Answer:

Natalie has $1.11 right now.

Step-by-step explanation:

1. Create an equation that represents Natalie's situation. Let x = the money Natalie has right now.

        [tex]x+ 10 = 9(x)^2[/tex]

2. This equation is a quadratic, so we need to factorise to solve for x, the amount of money Natalie has right now.

3. [tex]x + 10 = 9x^2[/tex]

4. [tex]0 = 9x^2 -x - 10[/tex]

5. [tex]0 = 9x^2 + 9x -10x - 10[/tex]

6. [tex]0 = 9x(x+1) -10(x+1)[/tex]

7. [tex]0 = (9x-10) (x+1)[/tex]

8. [tex]x+ 1 = 0\\\\x = -1[/tex]

9. [tex]9x - 10 = 0\\9x = 10\\x = 10/9, 1.11[/tex]

10. The amount of money Natalie has now cannot be negative. Therefore, Natalie has $1.11 right now.

         


Related Questions

Please help me asap i need help quickly

Answers

Step-by-step explanation:

Volume of cuboid is length* breadth" height

Volume of cuboid is length* breadth" height=10*8*6= 480cm³

volume of traingular prism= this I don't know

okay wait...imagine there is other half of the traingle such that it becomes cuboid...now find area of cuboid = 5*5*4= 100

now divide by 2 to get half volume ( one triangular prism)

which is 100/2= 50

Volume of traingular prism= 50cm³

Total volume of figure= 480+50= 530cm³

Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?

Answers

Answer:

it's 8ft

Step-by-step explanation:

1=4 2=8just put 2and2 together

Sally rides her bike to the store to get some Skittles. The store is 5 km away. If it takes her 10 minutes to get to the store what is her average speed?

Answers

the answer to this is 15 darling

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

8.

The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.

When using the adjacent and opposite sides, we use tangent.

The tan. of an angle, in this case x, is the opposite side over the adjacent side.

tan x=6/15

x=arc tan 6/15≈22

9.

cos 33°

You can use a calculator for this

10.

Because sin and cos are cofunctions, you can get x by doing 90-35=55°

z=55°

Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-3x + 2y = -8
3x – 2y = 8
A. No Solutions
B. Infinitely Many Solutions
C.One Solution

Answers

Answer:

B) Infinitely Many

Step-by-step explanation:

0 = 0

Answer:

Step-by-step explanation:

Combine the equations

-3x + 2y = -8

3x – 2y = 8

obtaining:

-3x + 2y = -8  

3x – 2y = 8

-------------------

  0 + 0 = 0

Since this is always true, this system  has an infinite number of solutions (B)

PLEASE HELP!!!!!
What is the value of x? *
31°
53°

Answers

Answer:

X = 96

Step-by-step explanation:

This one is pretty simple

So we're dealing with angles here.

So what we want to do is add the two angles and it =180

Here's the equation so it makes more sense:

[tex]A+B=180[/tex]

so we'd place in those numbers

[tex]53+31=180[/tex]

add the two angles together

[tex]53+31=84[/tex]

than we'd subtract from 180 getting the value of X

[tex]180-84=96[/tex]

[tex]x=96[/tex]

X= 96

I am doing angel right now and I’ve don’t that one before it isn’t that hard.

b) if your friend wants to be as happy as possible, how many cheeseburgers should he eat? How do you know ? Answer question B

Answers

Answer:

Find out what x should be the apply by the power of 2 then you should be good

i need 17 thanksssssssss

Answers

Answer is p y = 1200x + 300

x+7=15
help me fasttttttt​

Answers

Answer:

x=8

Step-by-step explanation:

x+7=15

-7      -7

x=8

Mark me Brainliest?

Answer:

Its 8

Step-by-step explanation:

x+7=15

Subtract 7 from both sides.

x=8

Please answer the question above.

Answers

Answer:

d = 12in

r = 6in

r^2 = 36

circumferenece = 37.7

Step-by-step explanation:

c = 2πr

c = 2π6 = 37.69911

I NEED HELP ASAP PLEASE

Answers

Answer:

[tex]P = \frac{A}{1 + rt}[/tex]

Step-by-step explanation:

We can simply divide both sides of the equation by (1 + rt) and we get the answer.

PLEASE HELP ME ASAP!

Answers

Answer:

B

Step-by-step explanation:

because its collecting the data, asking the 6th graders how they get to school

1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}

Answers

Answer:

I believe it’s A bc there are only 4 cars in the toy box

Step-by-step explanation:

Brainliest if correct?

thanks have a good day!

Answer: a........ I think im not sure sorry

Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?

Answers

Answer:

Milk costs 75 cents per litre.

Bread costs $1.75 per loaf.

Step-by-step explanation:

Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?

Answers

Answer:

Yes, SAS.

Step-by-step explanation:

3/5 = 0.6 and so does 4.8/8

Work out the answers of the following:
1) −2 - 7 + 4=
2)−20 + 11 − 6=
3)−5 + 14 − 8=
4)−13 − 4 + 6=
5)−30 − 80 + 40=
HELPPP PLEEEAAAASSSSEEE!!!! :(

Answers

Answer:

1)-5

2)-15

3)1

4)-11

5)-70

if negative use () for example

(-2)-7+4

Answer:

1. -5

2. - 15

3. 1

4. - 11

5. -70

please help I really need this
No links!!
No spams!!​

Answers

Answer:

725

Step-by-step explanation:

An airplane has an airspeed of 500 kilometers per hour (k/hr) in a
northerly direction (N 0˚ E). The wind velocity is 60 k/hr in a southeasterly (S45˚E)
direction. Let Va be the velocity of the plane relative to the air and Vw be the velocity
of the wind (both in terms of i and j).


1. Find vg = va + vw, the path of the plane relative to the ground. Round coefficients to the nearest tenth.

2. Find the actual speed and direction of the airplane relative to the ground. Round to the nearest tenth.

Answers

use the app Socratic, it will help yo

Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?

Answers

Answer:

$4.30

Step-by-step explanation

$43 x %50 = $21.50

$21.50 x %20 = $4.30

If  the item originally cost $43 then Dan paid $17.20 for the item after the discount.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store.

We have to find the amount paid by Dan after the discount.

If the original price of the item was $43 and it was half price, then Dan paid:

$43 / 2 = $21.50

Dan also gets a 20% discount on this price, so the amount he paid after the discount is:

$21.50 - 0.20($21.50) = $17.20

Therefore, Dan paid $17.20 for the item after the discount.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ3

Find the area of a regular hexagon with apothem 15. The answer should be 18 square root 3 but I don’t know how to get there.

Answers

Answer:

36 because you got to add

if y=12 when x=3, find y when x =15 ( Y varies directly as x)​

Answers

y = kx
when y= 12, x=3
12 = 3k
k = 12/3
k = 4

y = 4x
when x= 15
y = 4(15)
y = 60

PLEASE SHOW ME HOS TO DO IT!!

Answers

Answer:

Ok

Step-by-step explanation:

the answer is in the link below




xinrhuf//.com

A coin is tossed. If heads appears, a spinner that can land on any number from 1 to 3 is spun. If tails appears, a second coin is tossed instead of spinning the spinner. What are the possible outcomes?


H1 H2


H1 H2 H3 TH TT


HH HT


H1 H2 H3

Answers

Answer:

H1 H2 H3 TH TT

Step-by-step explanation:

A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?

Answers

Answer:

x=24

Step-by-step explanation:

there are different ways to solve the problem

set up a proportion:

16/(2/3)=x/1

cross multiply

(2/3)x=16

(3/2)(2/3)x=(3/2)(16)

x=24 square feet per hour

a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)

this means he lays 4 square feet every 10 minutes

8 square feet in 20 minutes

12 square feet in 30 minutes

24 square feet in 60 minutes

find the quotient
7 ($49.56

Answers

Answer: 7.08

Reasoning: 49.56 divided by 7 is 7.08

Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0,-1)?
please help

Answers

c is the correct answer!

What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?

a.3,879
b.2,674
c.-1,980
d.-1953

Answers

Answer:

D. a109=-1,953

Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer.

Answers

Answer:

solution:

relation between perpendicular and base is given by tan angle

so

[tex] \tan(ø) [/tex]=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

tanØ=Perpendicular/BasetanØ=4/13Ø=tan^{-1}(4/13)Ø=17.1°

PLSSSSSS HELPPPP 20 POINTSSS PLSSS

Answers

Subtract 3 for both sides.

(a) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.

Answers

Answer:

divide both sides by cosx

4 sinx/cosx = 1

4 tanx = 1

tanx = 1/4

x = arctan(1/4) = 14.04°

but the tangent is also positive in quad III

so x = 180+14.04 = 194.04°

x = 14.04° or 194.04°

Step-by-step explanation:

do by this step

The value of x is 75.52°.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The equation is 4 cos x + 2 = 3 for 0° < x < 360°.

⇒ [tex]4cosx=3-2[/tex]

⇒ [tex]4cosx=1[/tex]

⇒ [tex]cosx=\frac{1}{4}[/tex]

⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]

⇒ [tex]x=75.52[/tex]

Hence we can conclude that the value of x is 75.52°.

Learn more about trigonometry here

https://brainly.com/question/16965914

#SPJ2

Other Questions
find the missing anglemR= 5. What is productivity?the value of outputlabor that requires advanced skills and educationthevalys of inputlabor that requires specialized skills and training Please help and explain I dont want just an answer! The hours of daylight and night time are equal during ______________.an eclipsea new moonan equinoxa solstice why are there black holes on the moon 1896 decision of Plessy V Ferguson case determined it was illegal to separate public a condensation based on race as it was separate but equal that this isn't allowed Jim Crow laws to be enforced these laws finally ended in 1960s with the Civil Rights Movement. The systemic separation of people into racial or other ethnic groups is called what...?A. Isolation B. Segregation C. Integration D. Disconnection The figure below consists of a triangle, a rectangle, and a trapezoid. What is the area of the figure in square units? A. 39 B. 37 C. 49 D. 42 Point B has coordinates (2,1). The x-coordinate of point A is -10. The distance between point A and point B is 15 units. What are the possible coordinates of point A? How many grams of carbon dioxide are produced when 100 grams of methane undergoes complete combustion's? 1. Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about -39C. Ifthe temperature of a block of mercury starts at -54C and increases by 22C, does the mercury melt?Explain your answer. I need this done ASAP! please what is references??? A=5x18 start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}B=3x+42 start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}Astart color #11accd, angle, A, end color #11accd: Two companies, A and B, both have $1 million in assets, earnings before interest and taxes (EBIT) of $160,000, and the same tax rate. Company A is all equity financed, and Company B is 50% debt financed and 50% equity financed. If Company B's pretax cost of debt is 8%, then Company A will have a ROA that is _____ and a ROE that is _____ than Company B's. a. Option D b. Option C c. Option B d. Option A HELPPP IK IT IS NOT MATHHHH PLZ Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24 Read the passage.(1) I think that schools should switch from using papertextbooks to using computer tablets. (2) Textbookswere effective in the pre-digital age, but now we live ina technology-based society, so schools need to getwith the program and adopt a modern approach tolearning. (3) In fact, the chair of the FederalCommunications Commission said that "it's time for thenext stage" of learning with tablets and pointed out howtextbooks are often out of date. (4) Opponents arguethat tablets aren't a good choice because initiallythey're very expensive. (5) The secretary of educationpointed out that tablets can be updated regularly, whichsaves money in the long run. (6) Not to mention thepluses of having the latest and greatest info! (7) Manyexperts agree that switching to tablets is important forthe future of education. There are more than 300,000 species of plants that have been identified thus far in the world today; many new species are being discovered each year. In addition to providing most of the oxygen for land animals, plants do many other things for us. you will research the Internet and use reliable and credible scientific websites to investigate a specific plant species and choose a way (other than providing oxygen) that plants are useful to humans. [NOTE: Hot topic plants like Marijuana and Opium are off limits and cannot be discussed.]Writing a full paragraph (a 150-words minimum) for your initial blog post discussing a specific species of plant and the benefit you chose. Be sure to describe what type of plant it is. Where is it found? How does it impact humans or other species? What role does it play in the ecosystem, etc.? What is sent back to the LDR from the Calvin cycle and why? Rational numbers are _____ natural numbers.sometimesalwaysnever