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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.
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mezya [45]

Answer: Yes it is 28 + 63.


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3 years ago
The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and
olchik [2.2K]

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

Hence,

a: b + 4 = 3 : 3

a/b + 4 = 3/3

Cross Multiply

3a = 3(b + 4)

3a = 3b + 12 ........ Equation (2)

From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

3a = 3b + 12 .........Equation 2

3(3b/2) = 3b + 12

9b/2 = 3b + 12

Cross Multiply

9b = 2(3b + 12)

9b= 6b + 24

9b - 6b = 24

3b = 24

b = 8

Substitute 8 for b in Equation 1

a = 3b/2

a = 3 × 8/2

a = 24/2

a = 12

Therefore, the number of boys in the class is 12

7 0
3 years ago
A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
beks73 [17]

Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5

Equation

y - 2 = -1/5 (x + 5)

y - 2 = -1/5 x - 1

y = -1/5 x + 1

Answer

y = -1/5 x + 1

6 0
4 years ago
Read 2 more answers
Can someone please help mee
Andrew [12]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:Domain = [-9, -1]

\qquad \tt \rightarrow \:Range = [-1 , 3]

____________________________________

\large \tt Solution  \: :

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

\large\textsf{For the given graph : }

\qquad \tt \rightarrow \: domain = [ - 9, -1]

\qquad \tt \rightarrow \: range= [ -1,3]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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