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3 years ago

Two number have a sum of 71 and a difference of 37

2 answers:

6 0

The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37

So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17

<span>So the two numbers are 54 and 17</span>

ladessa [460]3 years ago

6 0

17+54=71 and have a difference of 37.

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42° N LATITUDE , 83°W longitude

Andreas93 [3]

Lake Erie

Step-by-step explanation:

7 0

3 years ago

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

= $6(j^2 - \frac{2}{3} j )+12$

= $$6(j^2 - \frac{2}{3} j + \frac{1}{9} )+\frac{102}{9}$ (Completing Square method)

= $6( j- \frac{1}{3} )^{2} + \frac{34}{3}$

On comparing with the given equation we get

p = - $\frac{1}{3}$ and q = $\frac{34}{3}$

∴ $\frac{q}{p}$ = $\frac{\frac{34}{3} }{\frac{-1}{3} }$

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0

2 years ago

3.) A glass of water is being filled up slowly. It initially starts out with 4

maria [59]

Answer:

8 minutes

Step-by-step explanation:

The amount in the glass after m minutes can be described by ...

a = 4 + 3/2m

We want to find m when a=16, so ...

16 = 4 + 3/2m

12 = 3/2m . . . . . subtract 4

8 = m . . . . . . . . . multiply by 2/3

It will take 8 minutes to fill the glass.

4 0

3 years ago

What is the answer to -3k-(-8)+2

NISA [10]

Answer:

-3k + 10

Step-by-step explanation:

-3k - (-8) + 2

-3k + 8 + 2 !!

-3k + 10 → simplified version of the given expression

!! → We got rid of the parenthesis by combining the two negative signs. The rules state that any 2 identical signs combined (in this case, - and -) equal a positive sign (+).

Hope it helped,

BiologiaMagister

6 0

3 years ago

Read 2 more answers

The price of a tv was decreased by 20% to £1440. What was the price before the decrease?

grigory [225]

Answer:

€7200

Step-by-step explanation:

20%---------1440

100%----------y

y= 100×1440/20

y= 144000/20

y= €7200

price before decrease= €7200

7 0

2 years ago