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katen-ka-za [31]
3 years ago
5

Rayshawn has a certain amount of money if he spends $20 then he has 1/3 of the original amount how much money did Rayshawn have

originally
Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer:

Rayshawn originally had $30.

Step-by-step explanation:

i) Rayshawn has a certain amount of money. Let us say this amount is $x.

ii) Rayshawn spends $20 which means that he is left with $(x - 20)

iii) it is also given that amount of money left after spending $20 is \dfrac{1}{3} of the original amount, $x, the amount remaining is \dfrac{\$x}{3}.

iv) from the information given in ii) and iii) we get

     $(x - 20) = \dfrac{\$x}{3},  Therefore we get 3x - 60 = x , therefore 2x = 60,

  Therefore x = $30. Rayshawn originally had $30.

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3 years ago
The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
iragen [17]

Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

m = 46

46 + d = 64

Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

3 0
3 years ago
What is the most accurate representation of the area of a plot measuring 11.7cm by 15.4cm ?
Aleks04 [339]
Area=width*height
area=(11.7)*(15.4)
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3 years ago
What is the value of x in the right triangle shown? 25 cm 7 cm​
finlep [7]

Answer:

x = 24

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

<u>-49              -49</u>

b^2 = 576

square root them

b = 24, or x = 24

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>

<em><u>-XxDeathshotxX</u></em>

7 0
3 years ago
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A circle centered at the origin has a radius of 10 units. The terminal side of an angle, Theta, intercepts the circle in Quadran
Tanzania [10]
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
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We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6

From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
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3 years ago
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