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
MArishka [77]
2 years ago
6

Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how

old are Bill and Will?
Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

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

Opening brackets

x² + 2x = 5(2x + 2) - 1

x² + 2x = 10x + 10 - 1

x² + 2x = 10x + 9

Collect like terms

x² + 2x - 10x - 9 = 0

x² - 8x - 9 = 0

Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

The factors are -9 and +1

x² + x - 9x - 9 = 0

x(x + 1) -9( x +1)

x+1) (x -9) =0

x + 1 = 0 or x -9 =0

x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

Bill's age = x+2 = 9+2 = 11years

I hope this was helpful, please rate as brainliest

You might be interested in
A laundry basket has 24 t-shirts in it. Four are navy,
Shtirlitz [24]

Answer:

The probability is of selecting a green shirt is 8

Step-by-step explanation:

24 - 4 = 20

20 - 12 = <u>8</u>

4 0
2 years ago
15/15 as a whole number
vladimir2022 [97]
Bruh it's 15. i mean if it is 15/15 then there is 15 things present yunno? idk but i hope this helped, have an amazing day :)
8 0
3 years ago
Plot a graph for the following data recorded for an object falling from rest
shusha [124]
  1. The kind of curve obtained is linear.
  2. The relationship between the variables is direct variation.
  3. After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  4. The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

  • The kind of curve obtained is linear.
  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
2 years ago
The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the
gizmo_the_mogwai [7]

Answer:

Width = 6.5 inches

Length = 10.5 inches

Step-by-step explanation:

Let

"l" be length of rectangle

and

"w" be width of rectangle

Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:

l = 4 + w

The perimeter is sum of all sides, so

Perimeter = l + l + w + w = 2l + 2w

The perimeter is 34, so we can write:

2l + 2w = 34

Putting 1st equation in 2nd, we get equation in "w" and solve for this first:

2l + 2w = 34\\2(4+w) + 2w = 34\\8+2w+2w=34\\4w=26\\w=\frac{26}{4}=6.5

Width is 6.5 in

Now, l = 4 + w, so

l = 4 + 6.5 = 10.5

Length is 10.5 in

3 0
3 years ago
Write an equation in slope-intercept form with the given slope and y-intercept.
sleet_krkn [62]

Answer: slope: 3/2

y-intercept: 0,4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • If the pair of inline skates is on sale for 35% off the regular price of $120 what is the sale price of the skates?
    7·1 answer
  • Perform the indicated operation(-50) / (-2)
    12·1 answer
  • 2+2X=?<br> when X = 2+5Y<br> when Y = 5*Z^2<br> when Z = 2
    8·2 answers
  • You need to mix a solution that is 70% anti-freeze with one that is 30% anti-freeze to obtain 20 L of a mixture that 60% anti-fr
    12·1 answer
  • SURFACE AREA! PLEASE HELP!
    11·1 answer
  • The red car went 408 miles in 6 hours. The blue car went 365 miles in 5 hours. Which car had the fastest average speed?
    13·2 answers
  • Please help ASAP!!!!!!!
    14·2 answers
  • Write the equation of the line that passes through the points (7, -3) and (7, 0).
    13·2 answers
  • The graph of the function f(x)=x^2-6x shifted 2 units to the left on the graph of g(x). Select the two functions that represent
    11·1 answer
  • If you eat a diet with 2,000 kilocalories and 45 percent of those calories come from protein, about how many grams of protein di
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!