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
Travka [436]
3 years ago
8

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio

n for x?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

9514 1404 393

Answer:

  it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

  \dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}

__

Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

  \dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

You might be interested in
a study examined the effectiveness of an ear molding technique used to correct ear deformities in newborns without the need for
inna [77]

Answer:

The sample proportion of successful procedures is 0.962.

Step-by-step explanation:

The sample proportion of successful procedures is the number of successfiç procedures divided by the total number of procedures.

In this problem:

158 procedures, of which 152 were successful. So

p = 152/158 = 0.962

The sample proportion of successful procedures is 0.962.

4 0
3 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which
Dmitrij [34]

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

Since, For function f , the domain is R - {7}

That is, If x is any element of the domain of the function f,

Then,  x ≠ 7

(gof)(x) = g(f(x))

Since, For the function g, the domain is R - {-3}

Thus,  If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.

8 0
3 years ago
There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of bo
Alex73 [517]
16:12

Subtract 4 from 28 then divide by 2.
8 0
3 years ago
a small airplane used 5 2/3 gallons of fuel to fly a 2 hour trip how many gallons were used each hour
Marat540 [252]
2.83 gallons were used per hour
7 0
3 years ago
Given the following functions f(x) and g(x), solve (f/g)(-4) and select the correct answer below. F(x)=4x-4 G(x)=x-1
yan [13]
To start set up a fraction with the f(x) on top and g(x) on bottom
(f/g)(x) = (4x - 4)/(x - 1)  - This is the function that we are going to use

Plug in -4 for x
(f/g)(-4) = (4(-4) - 4)/(-4 - 1) = (-16 - 4)/(-5) = (-20)/(-5) = 4

So...
(f/g)(-4) = 4

4 0
3 years ago
Read 2 more answers
Other questions:
  • Select the correct product.
    12·1 answer
  • 3, 6, 4, 8, 6, 12 what are the next three numbers in this pattern
    6·2 answers
  • A rectangle has an area of 0.24 of a square meter.
    6·1 answer
  • A cylinder is 20 inches long and has a diameter of 10 inches. What is the approximate volume of the cylinder?
    10·1 answer
  • Any one like polynomials? here's a project for you!!
    12·1 answer
  • Mr. Brown chooses a fiction book at random from a list of books and then chooses a second fiction book from those remaining.
    5·2 answers
  • Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Roun
    7·1 answer
  • Find an ordered pair (x, y) that is a solution to the equation.<br> 3x-y=5
    6·1 answer
  • At a high-end restaurant, a meal with a 22% tip costs $179.11. What was the original cost of the meal?
    14·2 answers
  • Answer in number 6 plssss
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!