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irina [24]
4 years ago
12

Justify why a/b x b/c x c/d x d/ e is equal to a/e when b,c,d, and e are not zero?

Mathematics
1 answer:
san4es73 [151]4 years ago
6 0
\frac { a }{ b } \times \frac { b }{ c } \times \frac { c }{ d } \times \frac { d }{ e } \\ \\ =\frac { a\cdot b\cdot c\cdot d }{ b\cdot c\cdot d\cdot e } \\ \\ =\frac { a }{ e } \cdot \frac { b\cdot c\cdot d }{ b\cdot c\cdot d } \\ \\ =\frac { a }{ e } \cdot 1\\ \\ =\frac { a }{ e }
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Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost
masya89 [10]
X=the total amount of pounds of peaches bought Y=the total cost....the equation would be y=2x
7 0
4 years ago
PLS HELP ME ASAP
kolezko [41]

Answer:

7

Step-by-step explanation:

5 x 5 x 7

= 175

hope it helps u

4 0
4 years ago
(20pts) Prove that the product of any two odd numbers is always odd. Make sure to explain your proof​
kozerog [31]

Answer:

See below (I hope this helps!)

Step-by-step explanation:

Because odd numbers are always 1 greater than even numbers, we can call the two odd numbers x + 1 and y + 1 where x and y are even integers. Multiplying the two gives us:

(x + 1) * (y + 1)

= x * y + x * 1 + 1 * y + 1 * 1

= xy + x + y + 1

We know that x * y will be even because x and y are also even and the sum of two even numbers will be even, and we also know that x and y are even and that 1 is odd. Since the sum of even and odd numbers is always odd, the product of any two numbers is always odd.

*NOTE: I put a limitation on x and y in my proof (the limitation was that x and y must be EVEN integers) but you don't have to do that, you could make the odd integers 2x + 1 and 2y + 1 where x and y could be any integer from the set Z like mirai123 did. I simply gave this proof because it was the first thing that came to mind. While mirai123's proof and mine are different, they are still both correct.

5 0
3 years ago
Read 2 more answers
Rewrite the equation y-4=-9 in slope-intercept form
Vedmedyk [2.9K]
The answer to this question is Y=-9+4.
Y=mx+b
7 0
3 years ago
Read 2 more answers
If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?​
V125BC [204]

Given that

log (x+y)/5 =( 1/2) {log x+logy}

We know that

log a+ log b = log ab

⇛log (x+y)/5 =( 1/2) log(xy)

We know that log a^m = m log a

⇛log (x+y)/5 = log (xy)^1/2

⇛log (x+y)/5 = log√(xy)

⇛(x+y)/5 = √(xy)

On squaring both sides then

⇛{ (x+y)/5}^2 = {√(xy)}^2

⇛(x+y)^2/5^2 = xy

⇛(x^2+y^2+2xy)/25 = xy

⇛x^2+y^2+2xy = 25xy

⇛x^2+y^2 = 25xy-2xy

⇛x^2+y^2 = 23xy

⇛( x^2+y^2)/xy = 23

⇛(x^2/xy) +(y^2/xy) = 23

⇛{(x×x)/xy} +{(y×y)/xy} = 23

⇛(x/y)+(y/x) = 23

Therefore, (x/y)+(y/x) = 23

Hence, the value of (x/y)+(y/x) is 23.

4 0
3 years ago
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