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3 years ago

Solve the unknown variable: 5k/16 +2k/12 = (-25+k)/24

2 answers:

8 0

5k/16+2k/12=(-25+k)/24
find common denomenator so we can cancel them
find GCM of 16,12, and 24

16=2*2*2*2
12=2*2*3
24=2*2*2*3
GCM=2*2*2*2*3=48

multiply everybody by 48

3(5k)+4(2k)=2(-25+k)
distribute
15k+8k=-50+2k
add like terms
23k=-50+2k
subtract 2k
21k=-50
divie both sides by 21
k=-50/21
k=-2 and 4/25

Goryan [66]3 years ago

6 0

Hello. (60k+32k)/192=(-25+k)/24 ; 92k/192=(-25+k)/24 ; 92k×24=192×(-25+k)/24 ; 2208k= -4800+192k ; 2208k-192k= -4800 ; 2016k= -4800 ; k= -4800/2016 ; k= -2,38. I hope to have helped you.

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If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least pos

guapka [62]

Answer:

The least possible result is <em>-10</em>.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

Let A = 4, B = 5 and C = 6

$A(B-C) = 4 \times (5-6) = 4 \times -1 = -4$

Let A = 4, B = 6 and C = 5

$A(B-C) = 4 \times (6-5) = 4 \times 1 = 4$

Let A = 5, B =4 and C = 6

$A(B-C) = 5 \times (4-6) = 5 \times -2 = -10$

Let A = 5, B = 6 and C = 4

$A(B-C) = 4 \times (6-4) = 4 \times 2 = 8$

Let A = 6, B = 4 and C = 5

$A(B-C) = 6 \times (4-5) = 6 \times -1 = -6$

Let A = 6, B = 5 and C = 4

$A(B-C) = 6 \times (6-5) = 6 \times 1 = 6$

Summarizing the above values in the form of a table:

$\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}$

So, the least possible result is <em>-10</em>.

3 0

3 years ago

a basketball player has a 60% chance of making each free throw. what is the probability that the player makes exactly 8 out of 1

patriot [66]

8/10
Might be wrong tho

4 0

3 years ago

Find the value of p so that the equation 2x²+PX_2=0

padilas [110]

Answer: P = 0

Explanation:

2x^2 + Px - 2 = 0
2x^2/2 + Px/2 - 2/2 = 0/2
x^2 + Px/2 - 1 = 0

If we plug P = 0

x^2 + 0x/2 - 1 = 0
x^2 + 0 - 1 = 0
x^2 - 1 = 0
(x - 1)(x + 1) = 0

8 0

3 years ago

Crystal bought a $750 bond with a 6.5% coupon that matures in 30 years. What are crystal’s total annual earnings for this bond?

kodGreya [7K]

69;) yes yes yes yes

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3 years ago

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X^2+3x-28 which is a biomial of this trinomial

Nostrana [21]

Our polynomial is $x^{2} +3x-28$
We can tell from -28 that the binomials are one positive and one negative.
We can use a factoring chart. What adds to make +3x and multiplies to make -28. $blank + blank=+3x
blank*blank=-28$
To get a negative 28, we can multiply -4 and positive seven, which add together after being multiplied by x to get +3x. Therefore, you are left with (x+7) and (x-4).
$(x+7)(x-4)$

8 0

3 years ago

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