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
77julia77 [94]
3 years ago
11

The sum of two numbers is twenty four. The second number is six less than the first. Write a system of equations and solve it to

find the number
Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

In these types of algebra problems where we are given numbers that are "unknown" and asked to find them, it is a good idea to give them names.

Let the larger number be X.

Let the smaller number be Y.

If the larger number is three times the smaller number, we can use this information to write an equation, using our labels for the two unknown numbers. See how I translate this sentence into an equation:

The larger number is three times the smaller number.

                    X           =     3     *               Y

X = 3*Y

We've got one equation down. Since we have two variables, we're going to need two equations to solve for both of them.

The sum of two numbers is twenty-four.

                      X    +    Y    =     24

X+Y = 24

But, from our previous equation, we know that X is the same as 3*Y. This allows us to substitute "X" with "3*Y" in our second equation since the two are equal according to the first equation.

(3*Y) + Y = 24.

3Y + Y = 24

4Y = 24

4Y / 4 = 24/4

Y = 6

Now we've got the value of the smaller number. Let's plug it into our first equation,

X = 3*Y.

X = 3*(6)

X = 18

We can check our work by plugging both values into both equations and seeing if they work out:

6+18 = 24  

6*3 = 18

You might be interested in
What are the slope between (-5,-2) and (8,13)​
Cerrena [4.2K]

Answer:

The slope:

m = \frac{15}{13}

Step-by-step explanation:

-To determine the slope of the following points shown, you need this formula:

m = \frac{y_{2} - y{1}}{x_{2} - x_{1}}

(m represents the slope, (x_{1}, y_{1}) represents the first coordinate and (x_{2},y_{2}) represents the second coordinate)

-Apply the following points to the formula:

m = \frac{13 + 2}{8 + 5}

Then, solve:

m = \frac{13 + 2}{8 + 5}

m = \frac{15}{13}

So, the slope is \frac{15}{13}.

8 0
3 years ago
For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile is 78, and the third qua
Igoryamba

Answer:

between 78 and 102 texts and more than 78 text messages.

Step-by-step explanation:

the range of it is 102-178, so its between there, and its more than 78 as well if the range goes up to 102

7 0
3 years ago
Read 2 more answers
What is 6pi to the 6 power.
Tomtit [17]

Hey there!

6(3.14)^6

= 6(3.14^6)

= 6(3.14 * 3.14 * 3.14 * 3.14 * 3.14 * 3.14)

= 6(9.8596 * 9.8596 * 9.8596)

= 6(97.21171216 * 9.8596)

= 6(5,750.811583)

≈ 5750.81158328



Therefore, the answer should be:

5,750.81158328



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

6 0
2 years ago
A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b
konstantin123 [22]

Answer:

\theta = 40.59^\circ

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find \theta

To do this, we use sine formula

i.e.

\sin(\theta) = \frac{Opposite}{Hypotenuse}

So, we have:

\sin(\theta) = \frac{10.8}{16.6}

\sin(\theta) = 0.6506

Take arc sin

\theta = \sin^{-1}(0.6506)

\theta = 40.59^\circ

4 0
2 years ago
Quadratic functions g and k are shown below.
mars1129 [50]
636 is the answer for this yup I’m back on my drip
6 0
3 years ago
Read 2 more answers
Other questions:
  • HELP! HELP! HELP! The 12 girls at Suzie’s volleyball camp have decided to wear their camp ID’s on loops of string around their n
    11·1 answer
  • If g(x) is the inverse f(x) and f(x)=4x+12,what is g(x)
    11·1 answer
  • If the price of a soda was 15 cents in 1970, when the CPI was 50, and 50 cents in 2007 when the CPI was 172, then the real price
    11·1 answer
  • 6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank
    11·1 answer
  • Find the center and radius of the circle and sketch its graph<br> X^2+y^2=9
    11·1 answer
  • 1. The band must eam at least $75 for a trip. Band members
    14·2 answers
  • YOU DONT NEED TO DO ANYTHING JUST LET ME KNOW IF IM RIGHT OR NOT AND GIVE ME A REASON WHY IM CORRECT OR INCORRECT FOR 10 POINTS!
    9·1 answer
  • Thirty percent (30%) of the bulbs in a large box are defective. If 12 bulbs are selected randomly from the box, calculate the pr
    5·1 answer
  • Adding Unlike denominators 1/11 + 1/4
    14·1 answer
  • What are the roots of the polynomial equation
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!