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

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

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:

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°

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:

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

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

PLSSSSSS HELPPPP 20 POINTSSS PLSSS

Answers

Subtract 3 for both sides.

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

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.

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

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

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 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

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!

find the quotient
7 ($49.56

Answers

Answer: 7.08

Reasoning: 49.56 divided by 7 is 7.08

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

(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

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

Answers

Answer:

725

Step-by-step explanation:

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.

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

i need 17 thanksssssssss

Answers

Answer is p y = 1200x + 300

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 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

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°

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

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

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

PLEASE SHOW ME HOS TO DO IT!!

Answers

Answer:

Ok

Step-by-step explanation:

the answer is in the link below




xinrhuf//.com

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

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