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
Leya [2.2K]
1 year ago
13

The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two

Mathematics
1 answer:
Darina [25.2K]1 year ago
5 0

Answer:

  28

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

  x(8/7)x = 896

  (8/7)x² = 896

<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

  x² = (7/8)(896) = 784

  x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

__

<em>Additional comment</em>

The larger is (8/7)(28) = 32.

You might be interested in
Does 8 has more factors than 9
gayaneshka [121]
*have 
and yes 
8 factor
   1,2,4,8
9 factor
    1,3,9
5 0
2 years ago
Read 2 more answers
Help with this please free brainlist i promise only if you get it right though
goldenfox [79]

Answer:eirther C or D not sure

Step-by-step explanation:

5 0
2 years ago
Simplify the expression:
kolbaska11 [484]
1. Pretty sure -2x+4/3
2. x+3/x-4
5 0
3 years ago
A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

6 0
2 years ago
Ab-2/3-67*4 if a=23 and b=3
Viefleur [7K]

what upAnswer:

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • The sum of 40 consecutive integers is 100. what is the smallest of these 40 integers
    8·1 answer
  • Scientist places 4 cells in a petri dish. Every hour, the cells divide in 2. How many cells are there after 9 hours?
    5·1 answer
  • Solve the following inequality in two ways and make a claim as to which
    11·1 answer
  • What is the x value for x+7y=10
    5·1 answer
  • ms. beck divided 2 cups of sugar equally into 8 containers. what fraction of a cup of sugar did each container receive?
    15·2 answers
  • (NO LINKS) <br><br> Please help this assignment is over due and I don't get it thx ;)
    15·1 answer
  • Which equation has a graph that is a parabola with a vertex at (-1, -1)?
    6·1 answer
  • Find the perimeter and area
    8·1 answer
  • Chocolate Bliss sells their box of chocolate candy for $2.00 per candy plus a $12 packaging fee. Expressions in Sweets
    10·1 answer
  • Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!