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2 years ago

3

There are 36 ways two dice can land: six ways for the first die and six ways for the second die. in how many of those ways does

at least one of the dice show a 6?

1 answer:

Triss [41]2 years ago

8 0

I believe it is 6 ways:

6 & 1
6 & 2
6 & 3
6 & 4
6 & 5
6 & 6

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A council reviews the number of bedrooms in 40 houses located in the same area. The table shows the information gathered.

Liono4ka [1.6K]

Answer:

a) 15 house with 3 bedrooms

b) 40 ÷ 5 = 8

Step-by-step explanation:

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2 years ago

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If 3x-y=123x−y=123, x, minus, y, equals, 12, what is the value of \dfrac{8^x}{2^y} 2 y 8 x start fraction, 8, start superscrip

julia-pushkina [17]

Answer:

$2^{12}=4,096$

Step-by-step explanation:

You know that $3x-y=12$ and have to find

$\dfrac{8^x}{2^y}$

Use the main properties of exponents:

1. $(a^m)^n=a^{m\cdot n}$

2. $\dfrac{a^m}{a^n}=a^{m-n}$

Note that

$8=2^3,$

then

$7^x=(2^3)^x=2^{3\cdot x}=2^{3x}$

Now

$\dfrac{8^x}{2^y}=\dfrac{2^{3x}}{2^y}=2^{3x-y}$

Since $3x-y=12,$ then $2^{3x-y}=2^{12}=4,096$

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2 years ago

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Suppose T is the transformation from ℝ2 to ℝ2 that results from a reflection over the y-axis followed by a reflection over the x

LenKa [72]

<u>Answer:</u>

A = \begin{pmatrix}-1 & 0 \\0 & -1\end{pmatrix}

<u>Step-by-step explanation:</u>

Let, there be a point (x , y) in R2

After reflection on Y axis, it will be ( -x , y) and thereafter if we reflect the image over X -axis , it will be (-x , -y)

So,

we need to find out a matrix

[tex]\begin{pmatrix}a & b \\c & d\end{pmatrix}[tex]

such that,

(x , y) [tex]\begin{pmatrix}a & b \\c & d\end{pmatrix}[tex] = (-x. -y)

So, we have the following set of equations.

ax + cy = -x ------------(1)

bx + dy= -y-----------(2)

We can get the solution (by inspection) as,

[tex]\begin{pmatrix}a & b \\c & d\end{pmatrix}[tex]

= [tex]\begin{pmatrix}-1 & 0 \\0 & -1\end{pmatrix}[tex]

So, the matrix is,

A = \begin{pmatrix}-1 & 0 \\0 & -1\end{pmatrix} (answer)

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2 years ago

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

yarga [219]

Answer:

A is TRUE (44 in²*2=88 in²)

B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)

C is TRUE if x(x-3)=88==>x²-3x-88=0

D is TRUE :

x²-3x-88=0

Δ=9+4*88=361=19²

==>x= 11 or x=-8 (excluded for <0)

E is FALSE for 11*4≠88

Step-by-step explanation:

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Marizza181 [45]

<span>
Plus every fraction you will get 7/8
And the question says about the ribbons he will get at 3/4 miles

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so, according to the equation ; (1-7/8) = 1/8

and (1-1/4) = 3/4

so the answer is green and blue
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2 years ago

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