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3 years ago

If she asks you to cut a strip of pie crust long enough to go around the outside of the pan

Mathematics

1 answer:

postnew [5]3 years ago

3 0

If she asks you that, she wants you to find the circumference of the pan.

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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$

Blizzard [7]

$\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}$

$a^{81}\equiv1^{81}\equiv1\pmod7$

$b^{91}\equiv2^{91}\pmod7$

$2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7$
$8\equiv1\pmod7$
$2\equiv2\pmod7$
$\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7$

$c^{27}\equiv6^{27}\pmod7$

$6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7$

$\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7$

6 0

3 years ago

A bag contains three red marbles, three green ones, one lavender one, one How many sets of five marbles include at least two red

dimaraw [331]

Answer with Step-by-step explanation:

The number of marbles are as under

3 red , 3 green , 1 Lavender total = 7

Now to select five marbles from a total of 7 marbles such that at least 2 marbles are included are the sum of the following cases:

1) We select 2 exactly 2 red marbles from 3 reds and the remaining 3 marbles are selected from 4 of other colours

Thus $n_{1}=\binom{3}{2}\binom{4}{3}=\frac{3!}{2!}\cdot \frac{4!}{3!}=12$

2)We select all the 3 red marbles and the remaining 2 are selected from the remaining 4 marbles

$n_2=\binom{4}{2}=\frac{4!}{2!\cdot 2!}=6$

Thus the total number of ways are $n_1+n_2=12+6=18$

3 0

3 years ago

How do u solve 2/8=4

timofeeve [1]

Answer:

8/8 (then entire number) is 16

Step-by-step explanation:

4/2 = 2

2x8=16

so 8/8=16

8 0

3 years ago

Read 2 more answers

2(x+3)=x-4 please help me <3

vovikov84 [41]

2(x + 3) = x - 4

distribute

2x + 6 = x - 4

either subtract 6 from both sides or add 4. i will be subtracting 6.

2x = x - 10

subtract x from both sides

x = -10

4 0

3 years ago

3n - 5 =22 what is the value of n

mamaluj [8]

Answer:

n = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3n - 5 = 22

Step 2: Solve for n

Add 5 to both sides: 3n = 27
Divide 3 on both sides: n = 9

5 0

3 years ago

Read 2 more answers