When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
Answer:
a. 13/3
b. 3 3/4
d. 1 7/8
c. 7/2
Step-by-step explanation:
a. 4 1/3 given
4*3=12 multiply the whole numbers with the denominator
12+1 =13 add the numerator to the product
13/3 put sum over denominator
b. 15/4 given
15/4=3 with a remainder of 3 divide numerator by denominator
3 3/4 rewrite as mixed number
d. 15/8 given
15/8=1 with a remainder of 7 divide numerator by denominator
1 7/8 rewrite as mixed number
c. 3 1/2 given
3*2=6 multiply whole number by denominator
6+1=7 add numerator to product
7/2 put sum over denominator
Answer:
12:16
Step-by-step explanation:
Add the miniature balls.
3 + 9 = 12
There are 16 black marbles in the jar.
Therefore, the ratio of miniature balls to the number of black marbles is 12:16.
