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3 years ago

How to simplify the expresson s(8-2t)+3t(4-2s)+5t

Mathematics

2 answers:

gogolik [260]3 years ago

5 0

We'll expand it to see what we have:

8s-2st+12t-6st+5t

17t-8st+8s

Vitek1552 [10]3 years ago

3 0

The answer would be 8s-4ts+17t

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N+9/4n+36 simplify this

scoundrel [369]

The answer is 1/4.
(n+9)/4(n+9)=1/4

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3 years ago

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Help please I’ll mark you brainliest!!

worty [1.4K]

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

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3 years ago

Find d for the arithmetic series with S17=-170 and a1=2

Irina18 [472]

So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

$\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}$

well, since the 17th term is that much, let's check what "d" is then anyway,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d$

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3 years ago

The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of a rectangle

blondinia [14]

Answer:

Area of the rectangle = $15 cm^2$

Step-by-step explanation:

Perimeter of the rectangle= 128 cm

Ratio of length to width is:

$\frac{Length}{Width}= \frac{5}{3} \\\\Length=5 cm\\\\Width=3 cm$

Area of the rectangle= Length*Width

$=5cm*3cm\\\\=15cm^2$

Area of the rectangle = $15 cm^2$

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3 years ago

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Zip codes for the Houston area are five digit numbers with 7 as the first 2 digits of each zip code. The third digit can be 0, 3

djyliett [7]

Answer:

There are 400 possible zip codes in the Houston area

Step-by-step explanation:

Here, we want to calculate the possible number of zip codes in the Houston area

We have 5 digits to form

77 is the first two digits ( this is fixed)

For the third digit, we are selecting 1 number out of 0,3,4 or 5

This means 4 C 1

The remaining digits can be any digits

We have 0-9, a total of 10 digits

The first will be 10 C 1 and the second last digit too is 10 C 1

So the number of possible zip codes will be;

4 C 1 * 10 C 1 * 10 C 1

= 4 * 10 * 10 = 400 possible zip codes

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