All categories

3 years ago

Which pair is equivalent? 5/4 & 1 2/4 . 4 6/7 & 7/34. 3 3/5 & 18/5. 12/9 & 2 3/9

Mathematics

1 answer:

Drupady [299]3 years ago

8 0

3 3/5 & 18/5 are both equivalent

Step-by-step explanation:

3 3/5 = 18/5

Write the mixed number as an improper fraction

Step 1: Multiply the denominator by the whole number

5 × 3 = 15

Step 2: Add the answer from Step 1 to the numerator

15 + 3 = 18

Step 3: Write answer from Step 2 over the denominator

18/5

Therefore, 3 3/5 is equivalent to 18/5

You might be interested in

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

Amy has a total of 560 marbles, She has five times as many small marbles as medium marbles. The number of large marbles is two m

Klio2033 [76]

I am sorry if answer is wrong,reply me

7 0

3 years ago

The school will not announce a snow day unless there is at least 10 inches of snow on the ground. If it has already snowed 1.5 i

matrenka [14]

It needs to snow 8.5 more inches of snow

6 0

3 years ago

Read 2 more answers

Approximately how much do i save per bottel of juice if i buy a pack of 8 rather than a pack of 6

Korolek [52]

Answer: Your question is missing information but this is what you do to answer your question step by step

B = Cost of 8 pack / 8 bottles = $ Cost of 8 pack/ 8 =$ ____ per bottle

A = Cost of 6 pack/ 6 bottles = $ Cost of 6 pack/ 6= $ ____ per bottle

then do a simple subtraction A -B = savings

Step-by-step explanation: Information is incomplete

if an 8 pack cost $16

If the 6 pack cost $15

All you do is a simple subtraction after calculations

Cost of 8 pack / 8 bottles = $16/8 =$2 per bottle

Cost of 6 pack/ 6 bottles = $15/ 6= $2.50 per bottle

in my example

You would save $ 0.50 per bottle by purchasing the 8 pack

6 0

3 years ago

3x^2-3x ----------- -3 x^2-9x please give me the simplified answer + explanation

STatiana [176]

You want us to simplify $\frac{3x^2-3x}{x^2-9x}-3$

first, factor top and bottom
$3x^2-3x=3x(x-1)$
$x^2-9x=x(x-9)$

so we have
$\frac{3x(x-1)}{x(x-9)}-3=$
$\frac{3(x-1)}{x-9}-3$
we want to combine fractions so multiply 3 by $\frac{x-9}{x-9}$
$\frac{3(x-1)}{x-9}-\frac{3(x-9)}{x-9}=$
$\frac{3(x-1)-3(x-9)}{x-9}=$
$\frac{3x-3-3x+27}{x-9}=$
$\frac{24}{x-9}$

the simplified answer is $\frac{24}{x-9}$

8 0

3 years ago

Which pair is equivalent? 5/4 & 1 2/4 . 4 6/7 & 7/34. 3 3/5 & 18/5. 12/9 & 2 3/9​

Which pair is equivalent? 5/4 & 1 2/4 . 4 6/7 & 7/34. 3 3/5 & 18/5. 12/9 & 2 3/9