MATHEMATICS MIDDLE SCHOOL

Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over years. If bought the same number of movies each year ,how mamy movies did joe buy last year ?

Answers

Answer 1

Answer:

Answer: Joe bought 27 DVDs movies last year.

Step-by-step explanation:

Since we have given that

Number of DVD movies Joe has a collection = 35

Number of DVDs as gifts out of them = 8

So, Rest of his movies over years is given by

$35-8=27$

According to question, if he bought the same number of movies each year.

Hence, Joe bought 27 DVDs movies last year.

Answer 2

Answer: Subtract 35-8=27 then take that and divide by how many years he's been buying movies and you have your answer

x = 4, y = -2, z = 3

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y+6z=1&(1)\n3x+2y+5z=16&(2)\n7x+3y-4z=11&(3)\end{array}\right\n\n(1)\n-2x+y+6z=1\qquad\text{add}\ 2x\ \text{to both sides}\ny+6z=2x+1\qquad\text{subtract}\ 6z\ \text{from both sides}\ny=2x-6z+1\n\n\text{Substitute it to (2) and (3):}\n\n\left\{\begin{array}{ccc}3x+2(2x-6z+1)+5z=16\n7x+3(2x-6z+1)-4z=11\end{array}\right\qquad\text{use the distributive property}\n\n$

$\left\{\begin{array}{ccc}3x+4x-12z+2+5z=16&\text{subtract 2 from both sides}\n7x+6x-18z+3-4z=11&\text{subtract 3 from both sides}\end{array}\right\n\left\{\begin{array}{ccc}7x-7z=14&\text{divide both sides by 7}\n13x-22z=8\end{array}\right\n\left\{\begin{array}{ccc}x-z=2&\text{multiply both sides by (-13)}\n13x-22z=8\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-13x+13z=-26\n13x-22z=8\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad-9z=-18\qquad\text{divide both sides by (-2)}\n.\qquad\qquad \boxed{z=2}\n\n\text{Put it ot the equation}\ x-z=2:\nx-2=2\qquad\text{add 2 to both sides}\n\boxed{x=4}\n\n\text{Put the values of}\ x\ \text{and}\ z\ \text{to the equation}\ y=2x-6z+1:\n\ny=2(4)-6(2)+1\ny=8-12+1\n\boxed{y=-3}$

What is 36/80 in lowest terms fraction wise

Answers

To simplify a fraction (reduce it to lowest terms), you divide
the numerator and denominator both by their greatest common
factor. (That's why you learn 'greatest common factor' before
you learn to simplify fractions.)

The greatest common factor of 36 and 80 is 4 .

Divide the top and bottom of 36/80 by 4, and you'll have the
fraction in lowest terms.

36 and 80 can both be divided by 4.

Which will make you answer 9/20.

Have a Brainly Day!

what is the difference between a pentagonal prism and a pentagonal pyramid???????????

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A pentagon is a 5 sided figure. pentagonal prism is a 3D structure where the top and the bottom face is a pentagon and the side faces are 4 sided figures (it may be a square or a rectangle) whereas pentagonal pyramid is a structure where only the bottom face is a pentagon and the top face is reduced to a point and so the side faces are 3 sided figures.

Leena bought 14 yards of wire. How many inches of wire did she buy? (1 yard = 36 inches)?A.)36 in.
B.)14 in.
C.)360 in.
D.)504 in.

Answers

The number of inches of wire which is equivalent to the 14 yards of wire is; 504in.

How many inches of wire is equivalent to 14 yards of wire?

It follows from the task content that the Leena bought 14 yards of wire.

Additionally, since 1 yard of wire is equivalent to 36 inches of wire.

It therefore follows that 14 yards of wire is equivalent to; 14 × 36 = 504in.

Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over years. If bought the same number of movies each year ,how mamy movies did joe buy last year ?

Answers

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x = 4, y = -2, z = 3

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How many inches of wire is equivalent to 14 yards of wire?