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photoshop1234 [79]
3 years ago
6

A teacher is buying supplies for her students. She needs 32 folders and one folder costs 11 cents. There is a sale going on wher

e if you buy 3 folders, you get one free. How much will she spend on the folders?
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
The teacher will spend 10.56
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The approximate line of best fit is given by the equation y=40x-1800. Based on this trend which of the following best predicts t
serious [3.7K]
Solve for x

(94+1800)÷40 = 47.35

So x = 47.35
8 0
3 years ago
Given the vectors, a=3i+4j, b=-2i+5j, c=10i-j, d=-1/3i + 5/2j, find a+(b-c)=?
Tomtit [17]

Answer:

  a +(b -c) = -9i +10j

Step-by-step explanation:

You can use the distributive property to remove the parentheses:

  a +(b -c) = a + b - c

Add the vectors as though they were binomials.

  a + b - c = (3 -2 -10)i +(4 +5 -(-1))j = -9i +10j

4 0
3 years ago
What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?
olganol [36]
\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
a_n=324
\end{cases}
\implies 
324=4(3)^{n-1}
\\\\\\
\cfrac{324}{4}=3^{n-1}\implies 81=3^{n-1}\implies 3^4=3^{n-1}\implies 4=n-1
\\\\\\
\boxed{5=n}\\\\

\bf -------------------------------\\\\
\qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
n=5
\end{cases}
\\\\\\
S_5=4\left( \cfrac{1-3^5}{1-3} \right)\implies S_5=4\left(\cfrac{1-243}{-2}  \right)

and surely you know how much that is.
8 0
3 years ago
The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Viefleur [7K]

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

3 0
3 years ago
HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
WINSTONCH [101]
1. X= 61/8

2. X= 61/9

3. Y= 20/3
8 0
3 years ago
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