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
Lapatulllka [165]
3 years ago
10

The sum of two numbers is 51. If one fourth of one number exceeds one fifth of another number by 6, which of the following is th

e smaller number?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0
Let x = 1st number and y = 2nd number
Using the sentences:
The sum of two numbers is 51:  x + y = 51
one fourth of one number exceeds one fifth of another number by 6:
(1/4)x > (1/5)y + 6

This means y is the smaller number.
From x + y = 51 → x = 51 - y
Plug into the inequality
(1/4)(51 - y) > (1/5) y + 6
Multiply each side by 20
5(51 - y) > 4y + 120
251 - 5y > 4y + 120 
-9y > -131
y < \frac{131}{9}
You might be interested in
$6000 invested at an APR a 4.4% for 20 years what is the balance in the account after 20 years
butalik [34]

Answer:

The balance in the account after 20 years will be $11280.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this problem

We want to find T, when P = 6000, I = 0.044, t = 20

The first step is find the earnings due to interest. So

E = P*I*t = 6000*0.044*20 = 5280

Adding to the principal to find the balance

T = E + P = 5280 + 6000 = 11280

The balance in the account after 20 years will be $11280.

6 0
2 years ago
What is 115×5 equal
lyudmila [28]
Your answer would be 575.
3 0
2 years ago
Read 2 more answers
Please help!! In radians, what is the period of the function y = .5cos5x
Levart [38]

Answer:

(2pi)/5

Step-by-step explanation:

The cosine function cos(x) has a period of 2*pi.

If we change the argument of the cosine, the new argument will have a period of 2*pi. If the new argument is 5x, we have that the period will be:

5x = 2*pi

x = 2*pi/5

The period of this function will be (2pi)/5, because for every (2pi)/5 change in the value of x, the function will have the same value. The value of 5 multiplying the cosine does not interfere in the period.

5 0
3 years ago
Can someone explain to me how to solve problem 32?
krok68 [10]
Ok so parallel equations mean they have equal slope, but different y intercepts. Here, we can solve and get the equation:

y=2/5x-7/5

5 0
2 years ago
Describe the location of point (−2, 6, 7) in three-dimensional coordinate space.
Snowcat [4.5K]

B: From the origin, move 2 units back, 6 units left, and 7 units up.

8 0
3 years ago
Other questions:
  • Find the other endpoint given the following <br><br><br> Endpoint: (5,-3) Midpoint: (7,-6)
    6·1 answer
  • The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of m
    5·1 answer
  • Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach
    10·2 answers
  • Use Vocabulary in Writing
    14·1 answer
  • There were 23 bales of hay in the barn. Fred stacked more bales in the today.there are now 89 bales of hay in the barn.how many
    7·2 answers
  • Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of thei
    6·1 answer
  • Draw the image of △abc under a dilation whose center is a and scale factor is 1/4
    12·1 answer
  • I DON’T UNDERSTAND THIS PLEASE SOMEONE HELP ME IT’S DUE TODAY
    8·2 answers
  • What is 4 2/3 plus 3 1/4​
    8·2 answers
  • Is (2,3) a solution of y + 1 &gt; 1/2x + 3?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!