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3 years ago

What is 36 divided by 3 x 7 + 9 ?

2 answers:

5 0

Hello there.

What is 36 divided by 3 x 7 + 9 ?

Answer: 3 x 7 = 21
21 + 9 = 30.
36 / 30 = 1.2.

Hope This Helps You!
Good Luck Studying ^-^

polet [3.4K]3 years ago

3 0

Well 3 x 7 + 9= 30
so 30 divided by 36 = 1.2
answer: 1.2

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HELP ASAP!! please show work!!! what is the value of x in the matrix equation below?

son4ous [18]

Answer:

$x=2$

Step-by-step explanation:

The given matrix equation is ;

$\frac{3}{2}\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y \left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$

We multiply the scalars to get;

$\left[\begin{array}{cc}\frac{3}{2}x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$

We simplify to get;

$\left[\begin{array}{cc}\frac{3}{2}x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$

By the equality property of matrices, we can write the following equations;

$\frac{3}{2}x+y=z...(1)$

$6+2y=2$

$2y=2-6$

$2y=-4$

$y=-2$

Also;

$12+3y=6z$

$\Rightarrow 12+3(-2)=6z$

$\Rightarrow 12-6=6z$

$\Rightarrow 6=6z$

$\Rightarrow z=1$

We substitute these values into equation (1) to find x.

$\frac{3}{2}x-2=1$

$\frac{3}{2}x=1+2$

$\frac{3}{2}x=3$

$\frac{1}{2}x=1$

$x=2$

6 0

3 years ago

Afla un numar,stiind ca: a)jumatatea treimii lui este 25; b)sfertul jumatatii lui este 48; c)treimea sfertului sau,marita cu 17

aalyn [17]

Answer:

(a) 150

(b) 384

(c) 84

(d) 261

(e ) 480

Step-by-step explanation:

(a)

Let 'a' be a number such that the half of his third is 25; i.e.

$\dfrac{1}{2}\times(\dfrac{1}{3}a)=25\\\\\dfrca{1}{2\times3}a=25\\\\\dfrac{1}{6}\times a=25\\\\a=25\times6\\\\a=150$

Hence, the number is 150.

(b)

Let 'b' be the number such that the quarter of his half is 48 i.e.

$\dfrac{1}{4}(\dfrac{1}{2}b)=48\\\\\dfrac{1}{8}b=48\\\\b=48\times8\\\\b=384$

Hence the number is 384.

(c)

Let 'c' be the number such that the third quarter or, increased by 17 is 80.

$\dfrac{3}{4}c+17=80\\\\\dfrac{3}{4}c=80-17\\\\\dfrac{3}{4}c=63\\\\c=\dfrac{63\times4}{3}\\\\c=\dfrac{252}{3}\\\\c=84$

Hence, the number is 84.

(d)

Let 'd' be the number such that its triplet, reduced by 28 is 755

$3d-28=755\\\\3d=755+28=783\\\\d=\dfrac{783}{3}\\\\d=261$

Hence the number is 261.

Let 'e' be the number such that double his third, increased by 80 is 400.

$\\2\dfrac{1}{3}e+80=400\\\\\dfrac{2}{3}e=400-80=320\\\\e=\dfrac{320\times 3}{2}\\\\e=\dfrac{960}{2}\\\\e=480$

Hence, the value of the number is 480.

4 0

4 years ago

Give the area of one of the triangles followed by the area of the small inner square separated by a comma. Express your answers

Ket [755]

The full question is: Given that the side of the square has a length b−a, find the area of one of the four triangles and the area of the small inner square.

Give the area of one of the triangles followed by the area of the small inner square separated by a comma. Express your answers in terms of the variables a and b.

Answer: (b-a)^2, {(b-a)^2}/4

Step-by-step explanation:

One side of the big square = b-a, therefore,

(total area of big square =(b-a)^2

The four inner triangles are equal because they are divided by diagonal lines of a square. So area of one triangle will be: area of square/4. So,

Area of each of 4 inner triangles= ( {b-a)^2} /4

From the image attached, I've drawn the diagram to reflect what the question is saying. The sides of the small inner square are connected by mid points of inner triangle sides.

By symmetry, we can tell that the area of this small square would be a quarter of that of the big square seeing that the sides of this small square will be half of the side of the big square.

Therefore, area of small square =

{(b-a)^2}/4