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Pepsi [2]
1 year ago
9

Paul is 20 years old. He is four times older than his sister.

Mathematics
2 answers:
attashe74 [19]1 year ago
3 0

Answer: Paul will be 30 years old

Step-by-step explanation:Let the age of her sister be x, then from the given data

=> 4x = 20

=> x = 5 years

The age of her sister is 5 years

In the second case, paul is twice as old as his sister

=> Age of paul = 2(x)

=> Age of paul = 10 years

Paul will be 10 years old when he is twice as old as his sister

slamgirl [31]1 year ago
3 0

Answer:

Paul will be 30 years old.

Step-by-step explanation:

Paul's sister's age is 1/4 of 20. 20 * 1/4 = 5 years.

Age difference between the siblings : 20 - 5 = 15 years.

That means that Paul will still be 15 years older when he'll be twice the age of his sister.

15 * 2 = 30 years.

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Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?
Nataly_w [17]

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

4 0
3 years ago
Simplify<br> x^2(y^3)^4/xy^5=x^a•y^b
givi [52]

Answer: a = 1 b = 7

Step-by-step explanation:

x^2(y^3)^4/x.y^5 = x^a.y^b

x^2(y^12) = x^a.y^b

(x^2).(y^12)/x^y^5 = x.y^7

x.y^7= x^a . y^b -> <u>x^1.y^7</u>

7 0
3 years ago
I'm not sure how to do this! 50 points?
Rus_ich [418]

Answer:

MOP=33

Step-by-step explanation:

MOP + MON = NOP

Substitute what we know

MOP = 3x-3

MON = 4x+9  

NOP = 90   right angle

3x-3+4x+9 = 90

Combine like terms

7x+6 =90

Subtract 6 from each side

7x+6-6=90-6

7x = 84

Divide each side by 7

7x/7 = 84/7

x =12

We need to find MOP

MOP = 3x-3

        =3(12)-3

         36-3

        33

6 0
3 years ago
Read 2 more answers
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measure SL 42,000 ft
horsena [70]

Answer:

a= 200

b = 210

Step-by-step explanation:

My assumption is, we have to find the length of sides of rectangle

Given

perimeter = 2a + 2b = 820 ft (i) (here a is smaller side and b is larger side)

area = a*b = 42,000 ft^2 (ii)

from eq (1)

2a + 2b = 820

=> 2(a+b) = 820

=> a+b = 820/2

=> a + b = 410

=> a = 410-b   (iii)

putting the value of a in eq(ii), we get

(410-b) *b = 42,000

410b - b^2 = 42,000

0 = b^2 - 410b + 42000

b^2 - 410b + 42000 = 0

b^2- 200b- 210b + 42000 = 0

b(b-200)-210(b-200) = 0

(b-200)(b-210) = 0

or

b= 210 and b = 200

if b is larger side than b =210

By putting value of b in eq(iii),

a = 410 -210 = 200

 

6 0
3 years ago
A truck can be rented from Company A for ​$110 a day plus ​$0.80 per mile. Company B charges ​$30 a day plus ​$0.90 per mile to
grin007 [14]

Answer:

800 miles

Step-by-step explanation:

Let the number of miles be represented by x

Company A for ​$110 a day plus ​$0.80 per mile.

$110 + $0.80 × x

110 + 0.80x

Company B charges ​$30 a day plus ​$0.90 per mile to rent the same truck.

$30 + $0.90 × x

30 + 0.90x

110 + 0.80x = 30 + 0.90x

110 - 30 = 0.90x - 0.80x

80 = 0.1x

x = 80/0.1

x = 800 miles

800 miles driven per day makes the rental cost for Company A a better deal than Company​ B's

6 0
2 years ago
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