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
Find the x and y intercepts of the quadratic equation<br> f(x)=-x^2+4x-4
earnstyle [38]
<u>X - Intercept</u>
f(x) = -x² + 4x - 4
   0 = -x² + 4x - 4
   x = <u>-(4) +/- √((4)² - 4(-1)(-4))</u>
                         2(-1)
   x = <u>-4 +/- √(16 - 16)</u>
                    -2
   x = <u>-4 +/- √(0)
</u>               -2<u>
</u>   x = <u>-4 +/- 0
</u>              -2<u>
</u>   x = <u>-4 + 0</u>      x = <u>-4 - 0</u>  
            -2                 -2
   x = <u>-4</u>             x = <u>-4</u>
         -2                   -2
   x = 2               x = 2

The solution to the problem is {2, 2}, or {2}. The x - intercept of the problem is (2, 0).

<u>Y - Intercept</u>
f(x) = -x² + 4x - 4
f(x) = -(0)² + 4(0) - 4
f(x) = -(0) + 0 - 4
f(x) = -0 + 0 - 4
f(x) = 0 - 4
f(x) = -4

The y - intercept of the problem is (0, -4).
<u />
8 0
4 years ago
Which choice best represents the balance of a savings account at the end of 6 years if the simple interest earned each year is 6
Amiraneli [1.4K]

Answer:

$507.00.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year,

then, solving our equation

I = 1300 × 0.065 × 6 = 507

I = $ 507.00

The simple interest accumulated

on a principal of $ 1,300.00

at a rate of 6.5% per year

for 6 years is $ 507.00.

4 0
3 years ago
Please helppppp<br><br> A. Yes;19<br><br> B. No
Vadim26 [7]

Answer:

Yes

Step-by-step explanation:

7 0
3 years ago
Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly
zlopas [31]
She has two dimes and four nickels.
8 0
4 years ago
What does it mean to integrate a function in calculus?.
abruzzese [7]

Answer:

See below

Step-by-step explanation:

Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.

For instance, \int\limits^ {}2x \, dx=x^2+C because the derivative of x^2 is 2x.

3 0
2 years ago
Other questions:
  • A equivalent expression to 9x-7y-6x
    7·2 answers
  • Jim works mowing lawns and babysitting. He earns $9.40 an hour for mowing and $7.70 an hour for babysitting. How much will he ea
    12·1 answer
  • If KN =29, what is CN?
    14·1 answer
  • A one year membership to metro gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equat
    11·1 answer
  • Each side of a square classroom is 8 yards long. The school wants to replace the carpet in the classroom with the new carpet tha
    15·1 answer
  • Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)
    8·1 answer
  • Please help me with this. It needs to be done soon, so I’d appreciate anyone who answers this.
    5·1 answer
  • Answer.......pls NOW
    9·1 answer
  • Please help me math guy thanks
    5·1 answer
  • True or false: Weight which is less than 85% of what is considered normal for age and height is a main characteristic of bulimia
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!