1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
2 years ago
12

Alice had $4.80 left after spending 40 percent of her money on lunch, 20 percent of what was left after lunch on parking, and 50

percent of what was left at a café. How much money did Alice have before lunch?
Mathematics
1 answer:
Vitek1552 [10]2 years ago
8 0

Answer:

$20

Step-by-step explanation:

We are given the percentages of how much she spent on each purchase but we need the percentage of what is left after each purchase. We calculate this by subtracting each percentage from 100% like so.

100% - 40% = 60%

100% - 20% = 80%

100% - 50% = 50%

Next we need to do is change the percentages into decimal format. We do this by moving the decimal 2 digits to the left. Therefore the percentages wasted are the following

60.0%   ⇔   0.60

80.0%   ⇔   0.80

50.0%   ⇔   0.50

Now that we have the percentages in decimal format we can calculate the total price (t) by retracing the spending process. The spending process was following.

t_{2} = 0.60t

t_{3} = 0.80t_{2}

4.80 = 0.50t_{3}

So we have to retrace by solving for t_{3}, then t_{2}, and finally (t)

4.80 = 0.50t_{3} ... divide both sides by 0.50

9.60 = t_{3}

9.60 = 0.80t_{2} .... divide both sides by 0.20

12 = t_{2}

12 = 0.60t  .... divide both sides by 0.60

20 = t

Finally we can see that the Total amount of money that Alice had before lunch was $20

You might be interested in
Just need help with B and C <br><br><br> 30 POINTS
saw5 [17]

Answer:

b) 6/7

c) 14

Step-by-step explanation:

b) Scale Factor = Red/(Red+Blue) = 8/(8+6) = 8/14 = 6/7.

c) x =  8+6 = 14.

EXTRA TIP: If you aren't sure, think about wheter these triangles are isosceles(from the diagram). Hope this helps!

4 0
2 years ago
Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.
Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

\rm 8x^6+27x^9+1

\rm x^6+x^3

\rm 27x^9+x^{12}

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is \rm 8x^6+27x^9+1.

The equation can be written as;

\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3

All the terms in the expression are can be represented as perfect cubes.

2.  The given equation is \rm 81x^3+16x^6.

The equation can be written as;

\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is \rm x^6+x^3.

The equation can be written as;

\rm x^6+x^3\\\\(x^2)^3+x^3

All the terms in the expression are perfect cubes.

4.  The given equation is \rm 27x^9+x^{12}.

The equation can be written as;

\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3

All the terms in the expression are perfect cubes.

5.   The given equation is \rm 9x^3+27x^9.

The equation can be written as;

\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0
2 years ago
Read 2 more answers
Evaluate mathematical problem for one by two<br><img src="https://tex.z-dn.net/?f=%201000%20%20%5Ctimes%2010" id="TexFormula1" t
svp [43]
1000*10

Multiply values together

10000
7 0
2 years ago
Read 2 more answers
What is the distance between points A and B?
lys-0071 [83]

Answer:

6 units

Step-by-step explanation:

Just count

6 0
2 years ago
Read 2 more answers
Calculate the average rate of change for the given function, from x = 2 to x = 7.
Marina86 [1]
\bf slope = m = \cfrac{rise}{run} \implies &#10;\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby &#10;\begin{array}{llll}&#10;average~rate\\&#10;of~change&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;&#10;\begin{array}{ccll}&#10;x&f(x)\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;-2&0\\2&15\\7&30&#10;\end{array}&#10;\qquad &#10;\begin{cases}&#10;x_1=2\\&#10;x_2=7&#10;\end{cases}\implies \cfrac{f(7)-f(2)}{7-2}\implies \cfrac{30-15}{5}&#10;\\\\\\&#10;\cfrac{15}{5}\implies 3
5 0
3 years ago
Other questions:
  • What would 2/8 be as a decimal?
    15·2 answers
  • A certain system can experience three different types of defects. Let Ai (i = 1, 2, 3) denote the event that the system has a de
    10·1 answer
  • Brainest gets 100 do problem 1-12 show your work
    10·1 answer
  • -- the quotient of 15 and the product of 2 * X
    12·1 answer
  • Which number property supports your answer
    6·1 answer
  • Solve the equation q(t)= 4t^2 +5 / t^2 ; t= -x
    10·1 answer
  • Which number line shows the approximate location of 35?
    11·1 answer
  • WHAT IS THE ANSWER 9x-13 for x=7
    12·1 answer
  • Can someone help me please?
    15·2 answers
  • 7.<br> Which point is found on the line<br> represented by the equation y + 6 =x?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!