What is -12 •\• (2/3) ?

Mathematics

2 answers:

Alik [6]4 years ago

8 0

It’s negative 18 I’m pretty sure

Hope I helped

Andreas93 [3]4 years ago

8 0

If your question is -12/ 2/3, then the answer is -18

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What number is 25% of 35% of 400

Aleksandr-060686 [28]

25% * 35% * 400

25/100 (35) / 100 (400)

1/4 (35) / 100 (400)

35/4 / 100 ( 400)

7/80 (400)

= 35

8 0

4 years ago

in the system shown below, what are the coordinates of the solution that lies in quadrant I? x^2-y^2=25, x+y=25

vodomira [7]

The given equations in this item are,
x² - y² =25
and
x + y = 25

It can be deduced that the first equation is a difference of two squares and can be factored out as that one shown below.
(x - y)(x + y) = 25

From the second equation, x+y = 25. Substituting this to the equation above,
(x-y)(25) = 25
Hence, x - y = 1

The system of linear equations is,
x + y = 25
x - y = 1
Adding the equations together,
2x = 26
x = 13

The value of y is 12.

Since both x and y are positive values then, this solution lies in the first quadrant.

ANSWER: (13,12)

5 0

4 years ago

the first term of a arithmetic sequence is 2 and the 4th term is 11, how do I find the sum of the first 50 terms

Rama09 [41]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=2\\
a_4=11\\
n=4
\end{cases}
\\\\\\
a_4=2+(4-1)d\implies 11=2+(4-1)d\implies 11=2+3d
\\\\\\
9=3d\implies \cfrac{9}{3}=d\implies \boxed{3=d}\\\\
-------------------------------\\\\$

$\bf \textit{now, what's the 50th term anyway?}
\\\\\\
n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=2\\
n=50\\
d=3
\end{cases}
\\\\\\
a_{50}=2+(50-1)3\implies a_{50}=2+147\implies a_{50}=149\\\\
-------------------------------\\\\$

$\bf \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=50\\
a_1=2\\
a_{50}=149
\end{cases}\implies S_{50}=\cfrac{50}{2}(2+149)$

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4 years ago

which statements are true about the fully simplified product of (b – 2c)(–3b c)? check all that apply. the simplified product ha

kicyunya [14]

$(b-2c)(-3b+c)=-3 b^{2} +bc+6bc-2 c^{2} =-3 b^{2} +7bc-2 c^{2}$
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3 years ago

Read 2 more answers

A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam

Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = $\frac{88}{100} \times 45 = 39.6$