Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
5% = 0.5
0.5n = 85
Divide by 0.5
0.5n = 85
/0.5 /0.5
n = 170.
The number is 170.
Add dress and shoes together:
30 + 25 = 55
1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)
Multiply total price by 4/5:
55 x 4/5 = (55 x4)/5 = 220/5 = 44
Total after discount is 44
Now add shipping:
44 + 8 = 52
Total paid = £52
Answer:
$10 coins: 21
$20 coins: 24
Step-by-step explanation:
heyy me again
So we can create 2 equations where
x = number of $10 coins
y = number of $20 coins:
x + y = 45
10x + 20y = 690
we can move equation 1 around so that we can get a value of x
x = 45 - y
now we can substitute x into the second equation
10(45 - y) + 20y = 690
450 - 10y + 20y = 690
10y = 240
y = 24
Now plug in y back into the first equation
x = 45 - y
x = 45 - 24
x = 21
Answer:
x = 28
Step-by-step explanation:
let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)
Now,
The sum of three consecutive integers is 90
i.e.,
(x + 1) + (x + 2) + (x + 3) = 90
x + 1 + x + 2 x + 3 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28
x = 28Thus, The value of x is 28
<h2>
<em><u>VERIFICATION</u></em><em><u>:</u></em></h2>
(x + 1) + (x + 2) + (x + 3) = 90
(28 + 1) + (28 + 2) + (28 + 3) = 90
28 + 1 + 28 + 2 + 28 + 3 = 90
90 = 90
