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Digiron [165]
4 years ago
5

A store selling school supplies advertises a bundle deal. The consumer can pick a backpack, a binder, a pack of pencils, and not

ebook paper for a set price. There are 4 types of backpacks, 3 types of binders, 6 types of pencils, and 2 types of notebook paper. How many outcomes are possible in this bundle
A) 144
B) 15
C) 72
D) 36
Mathematics
2 answers:
Mamont248 [21]4 years ago
8 0
That would be 4 * 3 * 6 *2   = 12 * 12 = 144 answer
PolarNik [594]4 years ago
4 0

Answer: A) 144

Step-by-step explanation:

Given: A store selling school supplies advertises a bundle deal. The consumer can pick a backpack, a binder, a pack of pencils, and notebook paper for a set price.

Number of types of backpacks = 4

Number of types of pencils= 6

Number of types of binders= 3

Number of  types of notebook paper = 2

Now, the number of outcomes are possible in this bundle is given by :-

N=4\times3\times6\times2=144

Hence, the number of outcomes are possible in this bundle is 144.

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Reduce 3272 to lowest terms.
zubka84 [21]

Answer:

If you reduce this to the lowest terms you get 4/9

Step-by-step explanation:

In order to simplify the fraction 32/72, you can divide each term by 8.

32/8 = 4

72/8 = 9

Therefore, we get 4/9

5 0
4 years ago
Differentiate Vx(x + 2) with respect to x.
Travka [436]

Answer:

y'= \frac{3x+2}{2\sqrt{x} }

General Formulas and Concepts:

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

y=\sqrt{x} (x+2)

<u>Step 2: Rewrite</u>

y=x^{\frac{1}{2} } (x+2)

<u>Step 3: Differentiate</u>

  1. Product Rule [Basic Power/Chain Rule]:                 y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)
  2. Simplify:                                                                            y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}
  3. Rewrite:                                                                                        y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}
  4. Add:                                                                                                       y'= \frac{3x+2}{2\sqrt{x} }
7 0
3 years ago
What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2
lubasha [3.4K]

\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2}    \end{gathered}$}

Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Add 4 and 3 to get 7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Use the distributive property to multiply −4 times x 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Multiply −4 by 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=-50 } \end{gathered}$}

Add 7 to both sides.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}

Divide both sides by −4.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}

The fraction \bf{\frac{-43}{-4}} can be simplified to \bf{\frac{43}{4}} by removing the negative sign from the numerator and denominator.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}

simplify

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}

<h2>{ Pisces04 }</h2>
8 0
2 years ago
Read 2 more answers
Help help<br> Find the value of each variable. Show work
irinina [24]

Answer:

soln,

x-y

=38-30

=68 answer

4 0
2 years ago
Which steps could be used to solve this equation?
Nesterboy [21]

Answer:

answer is option B

Step-by-step explanation:

ok the equation is 2/3 x +9 = 15

if we substract 9 from both sides it becomes, 2/3x +9-9 = 15-9.

2/3x = 6

now if we multiply both sides by the reciprocal of 2/3 ( reciprocal means flip it for example receprocal or 2/3 is 3/2)

we multiply both side by reciprocal ie,

2/3 x 3/2 which is 1 because the 3 on the numerator cancels with the 3 on the deniy and the 2 on the numerator cancels with 2 on the denominator. then you are left with only x on the left side.

x = 6 x 3/2 = 18/2 = 9.

7 0
3 years ago
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