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
goldenfox [79]
3 years ago
5

The sum of two numbers is 24. Seven times the smaller number is the same as 5 times the larger number. Find the number. (Would a

nyone mind explaining it at a beginner's algebra 1 kind of explanation?)
Mathematics
1 answer:
ikadub [295]3 years ago
4 0
X+y=24
and
7x=5y or 7x-5y=0

You have to solve this by a system of equations by elimination. You have to get the first equation to have a positive 5 in it with the "y" so it cancels, or eliminates the -5 in the second equation. To do this, you multiply every quantity by 5.

5(x+y=24)
5x+5y=120

This new equation is equal to "x+y=24". Now, you add this equation to "7x-5y=0". To get the value of x because the y's cancel each other out.

5x+5y=120
+7x-5y=0

12x=120
x=10

Now substitute in the x value (10) into any one of the equations. I picked "x+y=24".

10+y=24
y=14

So your two numbers are 10 and 14



You might be interested in
What is 9/45 divided by 7/42
Brrunno [24]
first\ sipmlify\ the\ 
fractions:\\\dfrac{9}{45}=\dfrac{9:9}{45:9}=\dfrac{1}{5}\\\\\dfrac{7}{42}=\dfrac{7:7}{42:7}=\dfrac{1}{6}\\\\\dfrac{9}{45}:\dfrac{7}{42}=\dfrac{1}{5}:\dfrac{1}{6}=\dfrac{1}{5}\cdot\dfrac{6}{1}=\dfrac{1\cdot6}{5\cdot1}=\dfrac{6}{5}=\dfrac{5+1}{5}=\dfrac{5}{5}+\dfrac{1}{5}\\\\=1+\dfrac{1}{5}=\boxed{1\dfrac{1}{5}}
8 0
4 years ago
Read 2 more answers
Explain how you can use base-ten blocks or as a decimal models to find 3.15 divided by 3. Include pictures to support your expla
blondinia [14]
With base-ten blocks ,there would be the 3 units, 1 tens block , and five hundreds cubes
3 0
3 years ago
HELP I’M GONNA FAIL!!!!!! Pls help ASAP! I NEED TO PROMOTEEEEEE!!!!
Nana76 [90]
Volume of sphere is
V=4/3pi r^3

Where r is 2 in this example so,

V= 10.67 pi
V= 33.51
7 0
2 years ago
Read 2 more answers
Need this ASAP <br><br> Having a hard time with the 10 squares 3
e-lub [12.9K]

Answer:

Area= 50√3 units^2

Step-by-step explanation:

Given:

In given triangle, there are two sides with length 10√3 and 20 along with angle of 30° between them.

As the given triangle is SAS triangle, we'll use the following formula to calculate its area:

A=1/2absinC

where a= 20

b= 10√3

and c=30°

Now putting values we get:

A=(1/2)(20)(10√3) sin(30)

  =100√3(1/2)

   =50√3

so the area is 50√3 units^2 !

4 0
3 years ago
Tom spends 30% of his monthly budget on rent. His total monthly budget is $3,000. How much does Tom spend on rent?
lilavasa [31]
Hey You!

3,000 * 30% = 900

So, Tom spends $900 on his monthly rent.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Tim Tradesman estimates his taxable income will be $7,500. He is paid every two weeks or 26 times a year.
    13·2 answers
  • Factor the polynomial 4b^2 - 8b
    8·2 answers
  • How do you solve this equation 5b-0.7=6b
    7·2 answers
  • Jared has 96 books to arrange on 6 shelves of a bookcase. He wants each shelf to have the same number of books. Using the distri
    8·1 answer
  • How are differences between the sample mean and the population mean explained when the result isn't statistically significant?
    8·1 answer
  • -18 ≥ 4 + 2q<br> Solve for me, please.
    6·1 answer
  • Simplify each expression using the order of operations or the distributive property​
    14·2 answers
  • Yuhhh please help ty :))
    9·2 answers
  • What is the value of K?
    6·2 answers
  • Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!