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trasher [3.6K]
3 years ago
12

{3} = \frac{16}{24} " alt=" \frac{2}{3} = \frac{16}{24} " align="absmiddle" class="latex-formula">
Determine if the following ratios form a porportion.
Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0
Simplify
16/24=8/12=4/6=2/3
2/3=2/3
yes
Zina [86]3 years ago
8 0
Yes; the following ratios:
____________________________
  \frac{2}{3} =  \frac{16}{24}   ;
_______________________________
do, in fact, form a proportion.
_________________________
Note that the fraction, or proportion, "\frac{2}{3}", cannot be reduced further into whole numbers.
___________________________________
We are given:  
____________________________
 \frac{2}{3} = \frac{16}{24}  .
_________________________________
The question is: Can "\frac{16}{24}" be further reduced into whole numbers—specifically, does "\frac{16}{24}" EQUAL "\frac{2}{3}"  ?
________________________________

→ 16/24 =?  2/3 ?
______________________
→ (16 ÷ 8) / (24 ÷ 8) = (2) / (3) = 2/3 . Yes.
_____________________________________
→  As such,  \frac{2}{3} = \frac{16}{24}  ; and the following ratios:

\frac{2}{3} = \frac{16}{24} ;

form a proportion.
_____________________________
Also, given:

\frac{2}{3} = \frac{16}{24} ;
____________________________________
→ If the "cross-products" are equal, then the ratios form a proportion.
_______________________________
→ Does (2) * (24) =? (16) * (3) ?
____________________________
→ Does  48 =? 48  ?  Yes!
____________________________
→ As such, the following ratios;

→  \frac{2}{3} = \frac{16}{24} ; do, in fact, form a proportion.
________________________________________________________
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How much money is 15% of $14.90<br> SHOW YOUR WORK
Amiraneli [1.4K]

Answer:

The final price will be $12.67

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 14.9 × 15/100

Discount = 14.9 x 0.15

You save = $2.24

Final Price = Original Price - Discount

Final Price = 14.9 - 2.235

Final Price = $12.67

hope this helps and is right. p.s. i really need brainliest :)

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2 years ago
Which of the following is not a solution to the inequality graphed below? Select all that apply.
Whitepunk [10]
I think it is the first and third one
6 0
3 years ago
Which statement correctly describes the expression
pav-90 [236]

Answer:

c

Step-by-step explanation:

choice A means

11 - 2 {m}^{3}

choice B means

2m - 11

choice C means which is the answer

{2m}^{3}  - 11

choice D means

{(2m)}^{3}  - 11

hope it helps ❤❤❤

For any question comment me

3 0
3 years ago
Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0
3 years ago
Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per
likoan [24]

Answer:

Option C: 6x-5y=15

Explanation:

y = -5/6x +8

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6 0
2 years ago
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