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
denis-greek [22]
3 years ago
6

Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers​

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

Let x and y be the two numbers. Then

yx=57  and x−y=20

Cross multiplying the proportion

5x=7y  or y=75x

So, x−y=20

x−75x=20⇒77x−5x=72x=20

⇒x=2140=70

y=75x=75×70=50

So smaller number is 50.

Check :yx=5070=57 and 70−50=20

You might be interested in
Find the distance points p (3,6) and q (7,3) to the nearest tenth?
Vladimir79 [104]
<h3>Answer: 5</h3>

=========================================================

One method is to plot the points P(3,6) and Q(7,3) on the same xy grid.  Plot a third point R at (3,3). See the diagram below.

A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.

a^2+b^2=c^2

3^2+4^2 = c^2

9+16 = c^2

c^2 = 25

c = sqrt(25)

c = 5

This is the length of PQ

-----------------------------------

Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

d = \text{Distance from P to Q}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(3-7)^2+(6-3)^2}\\\\d = \sqrt{(-4)^2+(3)^2}\\\\d = \sqrt{16+9}\\\\d = \sqrt{25}\\\\d = 5\\\\

8 0
3 years ago
Read 2 more answers
Tito wrote the following on the board. What is the unknown number?
lora16 [44]
400
wwwwwwwwwwwwwwwwwwee
7 0
3 years ago
Read 2 more answers
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
qwelly [4]

Answer:

The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.

Step-by-step explanation:

A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.

But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.

6 0
3 years ago
A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)
Nookie1986 [14]

Answer:

It’s 10n+12

They put the 2 n’s as an exponent

Step-by-step explanation:

3 0
2 years ago
A grocery store buys cashews for
maxonik [38]

Answer:

9.6

Step-by-step explanation:

20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6

8 0
2 years ago
Other questions:
  • What two digit number multiplied by itself has the product 2025 explain how you found your answer
    5·1 answer
  • ANOTHER TWO FOR ONE please help me answer these two questions for 15 points
    14·1 answer
  • What is the nature of the roots for y=x2 - 4x + 4?
    11·1 answer
  • the ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratios between their edges. True or F
    8·1 answer
  • J is located at (2,7) , q is located at (5,12) and m is located at ((x,y)
    8·1 answer
  • Come join please<br> Among Us code:DHFONF
    10·1 answer
  • The system of equations
    8·1 answer
  • Janice is 2 years younger than 3 times her cousins age. The Sum of their ages is greater than 14. What is the youngest her cousi
    11·1 answer
  • EASY ALGEBRA QUESTION<br><br> Please help. This is worth 20 points and I will give brainliest!
    12·2 answers
  • Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!