Answer:
ONE: x = 10
Step-by-step explanation:
3x + 6 = -1 - 3 + 4x
3x + 6 = -4 + 4x |subtract 6 from both sides
3x = -10 + 4x |subtract 4x from both sides
-x = -10 |change the signs
x = 10
Answer:
Step-by-step explanation:
Dimensions of the backyard is 14 m by 15 m
<u>The length of the fence is the perimeter of the backyard.</u>
- P = 2(l +w)
- P = 2(15 + 14) = 2(29) = 58 m
One meter of the fence costs $6.63
<u>Cost of the entire fence is:</u>
Answer:
8
Step-by-step explanation:
The equation is of the form
y = kx ← k is the constant of proportionality
To find k use the slope formula
k = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 16) ← 2 points on the line
k = 
= 
= 8
Answer:
52
Step-by-step explanation:
5x-22+4x+4 = 90
9x-18=90
9x=108
x=12
4*12+4
52
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
