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Mashutka [201]
3 years ago
11

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

Mathematics
2 answers:
zvonat [6]3 years ago
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]
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Explanation:

2x^2 + Px - 2 = 0
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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
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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

8 0
3 years ago
Read 2 more answers
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&#10;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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