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

Answers

Answer 1

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.

  [tex]\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}[/tex]

__

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

  [tex]\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}[/tex]

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


Related Questions

The area of a rectangular field is 5734 m^2.
If the length of the field is 94 m, what is its width?

Answers

Answer:

Step-by-step explanation:

Area of rectangle=length x width

Given area= 5734 m^2.

Length=94m

So 5734=94xwidth

width=5734/94=61m is the answer

Joshep drove his grandmother’s house which is 252 miles away in 3.5 hours. If he continues at the same speed,approximately how long will It take him to drive 315 miles?

Answers

Answer:

72 hours

Step-by-step explanation:

Helps me solve this problem please

Answers

Answer:

0

Step-by-step explanation:

hope this helps :)

If his heartbeat has increased by 8 beats per minute after 20 minutes of working out how much will his heartbeat have increased after 30 minutes of working out

Answers

Answer:

12 beats per minute after 30minutes

Step-by-step explanation:

Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.

8 / 2 = 4 beats per minute after 10 minutes

Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes

8 + 4 = 12 beats per minute after 30minutes

Rounding Decimals
Round each number to the correct place value.
1) Round to the nearest tenth.
9.81
Round to the nearest tenth is what I’m looking for

Answers

Answer:

9.8

Step-by-step explanation:

You would see if the hundredths place is less that 5 or 5 and up. In this case it it less, so it would be 9.8 or 9.80

Жилищен блок има еднакъв брой етажи във
всеки вход и еднакъв брой апартаменти на
всеки етаж. Броят на входовете е по-голям
от 1. Броят на апартаментите на етаж е по
голям от броя на входовете и по-малък о
броя на етажите. Колко са етажите, ак
броят на всички апартаменти е 105?​

Answers

мой пипи действительно большой, и это круто

What is the slope of the line that intersects this two points (12,2), (-7,5)

Answers

(12,2) (-7,5)

x1 y1. x2 y2

use this formula to solve:

y2-y1/x2-x1

=

(5)-(2)

(-7)-(12)

slope: -3/19

find the value of x and y
(5y-23)
(2x+13)
(3x)
47​

Answers

Answer:

Hope it help, and please give me Brainlest!

Step-by-step explanation:

I just know this one. I'm so sorry!

2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]

The value of x and y in the given figure is 14° and 23° respectively.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.

∴ 47° + (2x + 13)° + (5y - 23)° = 180°.

47° + 13° - 23° + 2x + 5y = 180°.

2x + 5y = 143°...(i).

Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.

∴ 3x + (5y - 23)° = 180°.

3x + 5y = 157°...(ii)

Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.

learn more about transversal here :

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Gio plotted the following points on the coordinate plane below. R(-3.5.0). S(2.5,1.5), 7(-45,-25), (2,-3.5).(-4,-3.5) 1 2 . $ -5 4 -3 -2 -14 5 -5 Which points did Gio graph incorrectly? Select all that apply.​

Answers

Answer:

It is R, T.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I got it right

Match the mathematical expression with its translation

Answers

Order from top to bottom

What is 19,067 divided by 43​

Answers

It could be 443, try simplifying to the nearest hundreaths, hope this helps!

Answer:

so you are going to divide with  a calculator

19,067 divided by 43

equals 443.4186047 (simplify)

Step-by-step explanation:

can i have brainliest please

Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?

Answers

Answer:

The second option is better

Step-by-step explanation:

Total for the first choice:

8000*5.5/100 + 1500 = $1940

Total for the second choice:

8000*3/100 + 2000 = $2240

As we see the second choice is better as more salary is expected

HELP
1.75^-0.5
(3/2)^2.4

Answers

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Barry must find the value of x in the equation below.
30x =48+22x
which of the following is the best step Barry could take to find the value of x in the equation?

Answers

Answer:

30x=48+22×

30x -22x=48

8x=48

x=6

What is the slope of the line?

Answers

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[tex]slope = - 3[/tex]

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Let me know if you need explanation.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

URGENT PLEASE HELP PLEASE

Answers

Answer: I believe the answer is A.

Explanation: hope this helps

The ratio of right-handed students to left-handed students is 8 to 3.There are 520 right-handed students in school.How many students are left-handed

Answers

Answer:

195 students are left-handed

Step-by-step explanation:

Here, we want to calculate the total number of students who are left-handed

Let the total number of students in the school be x

The total ratio is 8 + 3 = 11

8/11 * x = 520

8x = 11 * 520

x = (11 * 520)/8

x = 715 students

So the number of students who are left handed will be;

Total - number of right-handed students

That would be;

715-520 = 195

If AB undergoes a dilation of k=1/3 centered at (-3,2) then A’ will have the coordinates:

Answers

Answer:

(-3,2)

Step-by-step explanation:

It was correct on mine

The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).

Now,

The coordinate of A' after dilation of k = 1/3 is,

⇒ (1/3 × - 3, 1/3 × 2)

⇒ (- 1, 2/3)

⇒ (- 1, 0.67)

Learn more about the coordinate visit:

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3) The International Space Station takes 644 minutes to orbit Earth 7 times. About how long does each orbit take? I got 92 am I correct to crazy? 100 minutes 95 minutes 90 minutes 80 minutes

Answers

Given:

The International Space Station takes 644 minutes to orbit Earth 7 times.

To find:

The time taken by each orbit.

Solution:

Total time = 644 minutes

Total number of orbits =7

Now,

[tex]\text{Time taken be each orbit}=\dfrac{\text{Total time}}{\text{Number of orbits}}[/tex]

[tex]\text{Time taken be each orbit}=\dfrac{644}{7}[/tex]

[tex]\text{Time taken be each orbit}=92[/tex]

So, the required time is 92 minutes.

Therefore, you are correct and all options are incorrect.

⚠️⚠️Can someone answer both of these? PLEASE I WANNA FINISHJSKSLWLA ⚠️⚠️

Write an equation

Answers

Answer:

j + 5 = s

a = l + 3

Step-by-step explanation:

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answers

Answer:

16. 3/817. 1/818. 5/1819. 020. 1

Step-by-step explanation:

As per the spinner we have:

Green = 1/2 - 1/16 = 7/16Red = 1/4Purple = 1/8Orange, blue, yellow = 1/16

16. P(red, yellow, blue) = ?

P = 1/4 + 1/16 + 1/16 = 3/8

17. P(orange, yellow) = ?

P = 1/16 + 1/16 = 1/8

18. P(green, blue, purple) = ?

P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8

19. P(pink) = ?

P = 0 as no pink section

20. P(red, orange, yellow, green, blue, purple) = ?

P = 1 as all possible colors selected

Which line is a linear model for the data?
Plz help ASAP

Answers

Answer:

the one you have clicked is correct just took that quiz

Step-by-step explanation:

Confused and need help please, step by step and exact location would be helpful

Answers

Answer:

This is it sorry about the last one

Step-by-step explanation:

ithink I posted the wrong one

Find the measure of angle
Angle 1 is congruent to Angle 2

Answers

Answer:

angle 1 = angle 2 = 17 degrees

The measure of angle Q is 75 degrees. Find the measure of angle P.

Answers

Answer:

< P = 30

Step-by-step explanation:

PQR isosceles triangle

< R= 75

< P = 180 - ( 75 + 75 ) = 30

-5 2/3 + -3 1/9
need the answer
a. 2 1/6
b. -8 7/9
c. -8 1/4
d. 8 1/4​

Answers

Answer:

-8/7/9

Step-by-step explanation:

Hope this helps and have a great day :)

Answer:

Step-by-step explanation:

-5 2/3 +-3 1/9

-79/9 or - 8 7/9

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. Answer each question and show your reasoning. When purchasing 3 pounds, which meat is more expensive? By how much more expensive is it?

Answers

Given :

Chicken costs $3.20 per pound, and beef costs $4.59 per pound.

To Find :

When purchasing 3 pounds, which meat is more expensive and by how much.

Solution :

Price of 3 pound chicken, [tex]P_c=3.2\times 3 = \$9.6[/tex] .

Price of 3 pound beef, [tex]P_b = 4.59\times 3=\$13.77[/tex] .

Now, difference in price :

P = $13.77 - $9.6 = $4.17 .

Therefore, beef is more expensive than chicken by $4.17 .

Hence, this is the required solution.

smash or pass? lets make this a trend :)

idea from dear amj1103

Answers

Answer:

Smash, all the Wayyyyyyyyyyyy

Answer:

Hehe

Step-by-step explanation:

Two trains leave Raleigh at the same time one traveling north and the other south the first train travels at 50 miles per hour and the second at 60 miles per hour in how many hours will the trains be in 275 miles apart

Answers

Answer:

2.5 hours

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

It will take 2.5 hours

the sum of two numbers is 21 . 3/4 of one of the numbers added to 2/3 of the other numbers added to 2/3 of the other gives a sum of 15. find the two numbers

Answers

The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .

∴ [tex]\frac{3}{4}[/tex] of x =  [tex]\frac{3}{4}x[/tex]  and  [tex]\frac{2}{3}[/tex] of another number =  [tex]\frac{2}{3}\times(21-x)[/tex]

Now the sum of the two new numbers is given as 15.

∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]

[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

To learn more about number visit:

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