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vivado [14]
3 years ago
12

A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present age

s. A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present ages.
Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer: girls=20, sister=10

Step-by-step explanation:

Let x = the girl's sister's age (present)

Let 2x= the girl's age (present)

-------------------------------------------------------------

According to the question

(x+5)(2x+5)=375

Expand parentheses by FOIL (First Outer Inner Last)

2x²+5x+10x+25=375

Combine like term (5x and 10x)

2x²+15x+25=375

Subtract 375 on both sides

2x²+15x+25-375=375-375

2x²+15x-350=0

Find the factors (cross factor)

(x-10)(x+17.5)=0

x=10 or x=-17.5 (rej) ⇔ the age can't be negative

the girl's age is 20, and her sister's age is 10.

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4

Step-by-step explanation:

2+2 is 4

5 0
3 years ago
What is 0.00837 written in scientific notation?
Angelina_Jolie [31]

Answer:

8.37 x 10^-3

(Scientific Notation)

 

8.37 x 10^-3

(use the caret symbol [^] to type or write)

8.37E-3

(Scientific E-notation)

0.00837

(Real Number)

Step-by-step explanation:

How to convert numbers or decimals to scientific notation?

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

7 0
3 years ago
What value can be written on the blank line to make the expressions equivalent?
KIM [24]
Hello!

I believe the number that can be written in the blank space above is 6.

48+54=6'(8+9)

The number written in the blank space is 6 because when you divide 48 and 54 by their numbers, 8 and 9, you will get an answer of 6 for both numbers.

48/8=6
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So the number in the blank space would be 6.

I hope this helps!
3 0
3 years ago
Read 2 more answers
AM I CORRECT?? answer for 10 points
OverLord2011 [107]

lox (x) = -5

rewrite the equation in exponential form:

10^-5 = x

10^-5 = 1/10000

1/10000 = 0.00001


That is the correct answer.

8 0
3 years ago
How do you find the answer
Ymorist [56]
Plot them on the chart by <em>x </em>going first and then <em>y </em> so its going to be (-x,y) or (x,y) or (-x, -y) or (x,-y)
5 0
2 years ago
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