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
alexira [117]
3 years ago
5

On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left

, how much money did he have originally ??
Mathematics
2 answers:
snow_lady [41]3 years ago
6 0
Let m be the amount of money he had

m - (1/3)m - 5 = (1/2)m
(2/3)m - 5 = (1/2)m
Subtract both sides by (1/2)m
(2/3 - 1/2)m - 5 = 0
(1/6)m - 5 = 0
Add both sides by 5
(1/6)m = 5
Multiply both sides by 6
m = 30

Peter started with 30 dollars.

Have an awesome day! :)
natta225 [31]3 years ago
3 0
He should have started with $30.
You might be interested in
Which ordered pair (c, d) is the solution to the given system of linear equations?
ELEN [110]

Answer:

(-1,6)

Step-by-step explanation:

5 0
3 years ago
Use the Babylonian method of false position to solve the following
Mice21 [21]

Answer:

  • length: 32
  • width: 24

Step-by-step explanation:

<u>Assume a solution</u>

Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.

The diagonal of this rectangle is found using the Pythagorean theorem:

  d = √(60² +45²) = √5625 = 75

<u>Make the adjustment</u>

This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.

  length = (8/15)×60 = 32

  width = (8/15)×45 = 24

The length and width of the rectangle are 32 and 24, respectively.

_____

<em>Comment on this solution method</em>

This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.

5 0
3 years ago
What is the area of the triangle?
Natalka [10]

Answer:

22.5 square units  

Step-by-step explanation:

In the picture below it shows a full rectangle square unit of the right triangle.

The Full rectangle is 45 square units

Hence, if we cut the full rectangle in half it equal the right triangle.

Therefore, 45/2 = 22.5

8 0
2 years ago
Find the sum or difference.
Schach [20]
C is the correct one
7 0
3 years ago
Read 2 more answers
Please help! 70 points :)<br> Will award brainliest
dexar [7]

Answer:

38 = FH

Step-by-step explanation:

Because this is a rectangle, IG = FH

We know that IE + EG = FH

We also know that IE = EG   (perpendicular bisectors)

IE = EG

3x+4 = 5x-6

Subtract 3x from each side

3x-3x+4 = 5x-3x-6

4 = 2x-6

Add 6 to each side

4+6 =2x

10 =2x

Divide by 2

10/2 =2x/2

5=x


Now lets find FH

IE + EG = FH

3x+4 + 5x-6  = FH

Combine like terms

8x-2 = FH

Substitute in x =5

8*5-2

40-2

38 = FH

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 3/5(15k+10)=12k-9 in steps
    8·1 answer
  • Ms.Sweet bought 14 gourmet cupcakes for the math teachers at her school. If the total cost was $39.20, what was the unit cost of
    6·2 answers
  • (Each surfboard is $240) The sales tax on a surfboard is $12. What is the percent of sales tax?
    15·1 answer
  • Se responder errado vai ter que por a foto de um Elefante Rosa Por 24Hs no seu perfil do Whatsapp Em uma igreja tem 5 velas entr
    11·1 answer
  • Find the length of side x in the simplest radical form with a rational denominator​
    7·2 answers
  • Which expression is equivalent to 12 + 84?
    9·1 answer
  • In geometry what is the purpose of sin and cos?​
    12·2 answers
  • If x=6, what is the smallest natural number y that makes x2+y2 rational?
    12·1 answer
  • Find the area of this triangle.
    11·1 answer
  • Write a linear function that models each situation. a 24. The enrollment at a local community college was 5,000 in 1960. In the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!