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
Marianna [84]
3 years ago
14

The difference of the present ages of two sister in 5 yrs

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Answer:

4 and 9

Step-by-step explanation:

let their ages be x and x - 5, then in 4 years their ages will be

x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus

(x + 4)(x - 1) = 104 ← expand factors on left using FOIL

x² + 3x - 4 = 104 ( subtract 104 from both sides )

x² + 3x - 108 = 0 ← in standard form

(x + 12)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 9 = 0 ⇒ x = 9

However, x > 0 ⇒ x = 9

Thus

Their present ages are 9 and 9 - 5 = 4

You might be interested in
Michael has 26 shirts to fold. Let N be the number of shirts he would have left to fold after folding F them. Write an equation
Dennis_Churaev [7]

Answer:

N = 3 F = 26

Step-by-step explanation:

If there's 26 in total and Michael has folded 3 of them N would be 3. F will be the total after folding 'N' amount left of the clothes!

5 0
2 years ago
Which statement about distance is correct
zhuklara [117]

Answer:

idk

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If y = 5x, then y is directly proportional to ______<br> Help me please my teacher rlly annoying
Salsk061 [2.6K]

y = 5x, so 5 is the constant of proportionality

7 0
3 years ago
If a jeep averages 30.5 miles per gallon, how many miles will it travel on 14 gallons of gas?
Aleks04 [339]

Answer: 427 miles

Step-by-step explanation:

if the jeep averages 30.5 miles per gallon, and you have 14 gallons, then you will need to multiply 30.5*14 to get your answer, which is 427

7 0
1 year ago
This is algebra 1 math problem <br>f (×)=2/5x+10
Alina [70]
To find the inverse, interchange the variables and solve for y.

f^−1(x)=−25+5x/2
3 0
3 years ago
Other questions:
  • If 4/5 of the population of a certain town is considered to be middle class and the population of the town is 2,000,how many peo
    10·1 answer
  • Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou
    9·1 answer
  • What is a fraction equation that equals 1
    5·2 answers
  • 614 times 4.0 must show work
    14·2 answers
  • Mika jumped rope for 55 minutes and burned 98 calories. How many calories could she burn in 15 minutes
    15·2 answers
  • I will give Brainliest to anyone who answers
    13·1 answer
  • Wht is the table for the function y=3x-2
    11·2 answers
  • one drink has 20 sugar another one has 45 sugar each can has 250 milliliters of soda what is the sugar concentration of the mixe
    8·1 answer
  • Help! please with my work
    10·2 answers
  • Bob travels from Inglewood to anytown; a distance of 20 km.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!