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3 years ago

What mixed number is equivalent to 18/8

2 answers:

5 0

Cupcakes answer is a correct solution but we need to know the multiple choice answers because your teacher is probably using other mixed numbers than the simplest form one just to make it harder for u

sukhopar [10]3 years ago

3 0

The mixed number to 18/8 is 2 and 1/4
To find this out you multiply 8 to get to 18, yet 8 only goes to 16 before going over 18, so 8 can multiply 2 times.
The 2 will be your whole number
and since there is 2 numbers left (18-16=2) that would be the numbers left over giving you 2 2/8.
yet the 2/8 can be simplified to 1/4 giving you 2 1/4 as your answer.
Hoped this helped!

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brilliants [131]

Answer:

(a) x=2, y=-1

(b) x=2, y=2

(c) $\displaystyle x=\frac{5}{2}, y=\frac{5}{4}$

(d) x=-2, y=-7

Step-by-step explanation:

Cramer's Rule

It's a predetermined sequence of steps to solve a system of equations. It's a preferred technique to be implemented in automatic digital solutions because it's easy to structure and generalize.

It uses the concept of determinants, as explained below. Suppose we have a 2x2 system of equations like:

$\displaystyle \left \{ {{ax+by=p} \atop {cx+dy=q}} \right.$

We call the determinant of the system

$\Delta=\begin{vmatrix}a &b \\c &d \end{vmatrix}$

We also define:

$\Delta_x=\begin{vmatrix}p &b \\q &d \end{vmatrix}$

And

$\Delta_y=\begin{vmatrix}a &p \\c &q \end{vmatrix}$

The solution for x and y is

$\displaystyle x=\frac{\Delta_x}{\Delta}$

$\displaystyle y=\frac{\Delta_y}{\Delta}$

(a) The system to solve is

$\displaystyle \left \{ {{x+y=1} \atop {x-2y=4}} \right.$

Calculating:

$\Delta=\begin{vmatrix}1 &1 \\1 &-2 \end{vmatrix}=-2-1=-3$

$\Delta_x=\begin{vmatrix}1 &1 \\4 &-2 \end{vmatrix}=-2-4=-6$

$\Delta_y=\begin{vmatrix}1 &1 \\1 &4 \end{vmatrix}=4-3=3$

$\displaystyle x=\frac{\Delta_x}{\Delta}=\frac{-6}{-3}=2$

$\displaystyle y=\frac{\Delta_y}{\Delta}=\frac{3}{-3}=-1$

The solution is x=2, y=-1

(b) The system to solve is

$\displaystyle \left \{ {{4x-y=6} \atop {x-y=0}} \right.$

Calculating:

$\Delta=\begin{vmatrix}4 &-1 \\1 &-1 \end{vmatrix}=-4+1=-3$

$\Delta_x=\begin{vmatrix}6 &-1 \\0 &-1 \end{vmatrix}=-6-0=-6$

$\Delta_y=\begin{vmatrix}4 &6 \\1 &0 \end{vmatrix}=0-6=-6$

$\displaystyle x=\frac{\Delta_x}{\Delta}=\frac{-6}{-3}=2$

$\displaystyle y=\frac{\Delta_y}{\Delta}=\frac{-6}{-3}=2$

The solution is x=2, y=2

$\displaystyle \left \{ {{-x+2y=0} \atop {x+2y=5}} \right.$

Calculating:

$\Delta=\begin{vmatrix}-1 &2 \\1 &2 \end{vmatrix}=-2-2=-4$

$\Delta_x=\begin{vmatrix}0 &2 \\5 &2 \end{vmatrix}=0-10=-10$

$\Delta_y=\begin{vmatrix}-1 &0 \\1 &5 \end{vmatrix}=-5-0=-5$

$\displaystyle x=\frac{\Delta_x}{\Delta}=\frac{-10}{-4}=\frac{5}{2}$

$\displaystyle y=\frac{\Delta_y}{\Delta}=\frac{-5}{-4}=\frac{5}{4}$

The solution is

$\displaystyle x=\frac{5}{2}, y=\frac{5}{4}$

(d) The system to solve is

$\displaystyle \left \{ {{6x-y=-5} \atop {4x-2y=6}} \right.$

Calculating:

$\Delta=\begin{vmatrix}6 &-1 \\4 &-2 \end{vmatrix}=-12+4=-8$

$\Delta_x=\begin{vmatrix}-5 &-1 \\6 &-2 \end{vmatrix}=10+6=16$

$\Delta_y=\begin{vmatrix}6 &-5 \\4 &6 \end{vmatrix}=36+20=56$

$\displaystyle x=\frac{\Delta_x}{\Delta}=\frac{16}{-8}=-2$

$\displaystyle y=\frac{\Delta_y}{\Delta}=\frac{56}{-8}=-7$

The solution is x=-2, y=-7

4 0

3 years ago

Someone help me with this ASAP

romanna [79]

Answer:

Circumference: 18.84 cm

Area: 28.26 cm^2 (exponent 2)

Step-by-step explanation:

Circumference = 2(pi)r

The diameter is 6. Means the radius is 3 (half of 6)

pi = 3.14

2(3.14) x 3 = 18.84

Circumference is 18.84 cm.

Area of a circle = (pi)r^2

(3.14)(3)^2 = 28.26 cm^2 (exponent 2)

6 0

3 years ago

What is the slope of the line passing through the points (1, -5) and (4,1)

never [62]

The slope of the line passing through (1,-5) and (4,1) is 2

3 0

4 years ago

Read 2 more answers

Ashley took $20 out on her savings account each week on Friday. How many weeks ago did she have at least $250 in her account

tatuchka [14]

If she took $20 out of her savings account, given the information, she could easily have no money remaining now. Given this, we'll assume the current value of her account is the minimum it can be. Now you just need to find how many times her withdrawal can factor into the original amount, $250. Therefore, t=250/20= 12.5. Since it's asking for a number of weeks, the answer can't be a decimal, so your final answer is 12 weeks.

5 0

3 years ago

A flagpole 1400 cm tall is how many meters tall?

iogann1982 [59]

Your answer would be 14 meters

4 0

3 years ago