MATHEMATICS MIDDLE SCHOOL

When buying a new dress, you have a choice of 3 different lengths, 5 different colors, and 2 different styles. How many choices are there for one dress?

Answers

Answer 1

Answer:

Answer with explanation:

Number of choices in Length for a dress = 3

Number of choices in Color for a dress= 5

Number of choices in Style for a dress= 2

To select a length out of 3 length ,which can be done in $_(1)^(3)\textrm{C}$

To Select a color, among 5 different colors , can be done in $_(1)^(5)\textrm{C}$ .

To Select a Style, among 2 different styles , can be done in $_(1)^(2)\textrm{C}$ .

Total Number of ways

$=_(1)^(5)\textrm{C}*_(1)^(3)\textrm{C}*_(1)^(2)\textrm{C}\n\n= 5 * 3 * 2\n\n=30$

Answer 2

Answer: it is three because there is one of everything

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800 is 10 times as much as

Answers

It's 10x8 which equals80

It's really simple. 800 is 10x of 80.

800/10 = 80

How much larger is one cubic foot than one cubic inch

Answers

it is 15 times larger

26 inches because one cubic foot is 27 inches so 27-1=26

the area of a rectangle is 56 square inches. the width of the rectangle is 7 in. What is the length?

Answers

The area of a rectangle is length times width. 7 is the width so you divide 56 by 7 to find the length which is 8. The length is 8 inches.

Two spinners are spun at the same time in a board game. Carrie listed all the possible outcomes for the two spinners above. A1, C2, B1, C1, A2. Which outcome is missing from her list?

Answers

Answer:

Step-by-step explanation:

The missing outcome is B2

What is the solution to the system?-2x + y + 6z = 1
3x + 2y + 5z = 16
7x + 3y – 4z = 11

Answers

Answer:

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

Step-by-step explanation:

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

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

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

15 times what equals 45

Answers

15 times 3 is 45. 15+15+15=45 and since that's 3 15's, 15 times 3=45

45 divided my 15
45/15=3

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