So the kindergartner could show animals pictures. XD JK
Answer:
<em>Terry had £780 initially and Faye had £1300</em>
Step-by-step explanation:
<u>System of Equations</u>
We'll call the following variables:
x = Terry's balance in his bank account
y = Faye's balance in her bank account
The initial relation between them is:

Cross-multiplying:
5x = 3y [1]
If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus
x + 220 = y - 300
Subtracting 220:
x = y - 520 [2]
Substituting in [1]
5(y - 520) = 3y
Multiplying:
5y - 2600 = 3y
Adding 2600 and subtracting 3y:
2y = 2600
Dividing by 2:
y = 1300
From [2]:
x = 1300 - 520
x = 780
Terry had £780 initially and Faye had £1300
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
X^2-2x=-8 add 1 to both sides
x^2-2x+1=-7 now the left side is a perfect square
(x-1)^2=-7 take the square root of both sides
x-1=±√-7 add 1 to both sides
x=1±√-7 which is
x=1±i√7 so
x=1+i√7 and 1-i√7
Answer:
The homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
Step-by-step explanation:
The general form of the linear regression equation is:

Here,
<em>y</em> = dependent variable = test grade
<em>x</em> = independent variable = homework grade
<em>a</em> = intercept
<em>b</em> = slope
Compute the value of <em>a</em> and <em>b</em> as follows:

The linear regression equation that represents the set of data is:

Compute the value of <em>x</em> for <em>y</em> = 68 as follows:


Thus, the homework grade, to the nearest integer, for a student with a test grade of 68 is 69.