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4 years ago

Is 3/4 equivalent to 12/15

1 answer:

5 0

For this, you have to reduce the larger fraction, which is 12/15
After reduction, it would be: 4/5 which is not equivalent to 3/4

4/5 ≠ 3/4

So, your final answer is "NO", it's not equivalent

Hope this helps!

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You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

3 years ago

HELP HELLP HELP MEH I NEED 16 MORE CLASSES LEFT FOR SCHOOL LET IT BECOME 15 PLEASE

vodomira [7]

Answer:

2*2*9+4*12*3=36+144=180

Step-by-step explanation:

8 0

4 years ago

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probabilit

Agata [3.3K]

There are total 10 juice boxes
P(grape) first pick:
2/10=1/5
P(grape) second pick:
1/9
As a result, the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape is 1/45. Hope it help!

8 0

3 years ago

What is numbers are difference of 5

stepladder [879]

Step-by-step explanation:

let the numbers x and y

so x + y =13

x - y = 5

add two equations together

2x = 18

divide both side by 2

x = 9

sub in any equation

9 + y =13

y = 4

the numbers are 9 and 4

8 0

4 years ago

2. A function g(x) is defined by the diagram shown below.

skad [1K]

Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

Range: {12, 9, 9, 17}

c). Inverse of the function g(x) will have,

Domain: {12, 9, 9, 17}

Range: {4, 7, 10, 15}

For input value of x = 9, there are two output values y = 7, 10.

Since, "a function can't have two output values for the same input value".

Therefore, inverse of the function g(x) will not represent a function.

8 0

4 years ago