Answer:
25/64
Step-by-step explanation:
do what's inside parentheses first
-3/8 - 2/8 = -5/8
-5/8(-5/8) = 25/64
Answer:
110 + 10x ; 40x
4
Step-by-step explanation:
Given that:
For every visit to Arts museum:
Scenario 1:
Parking fee = $15
Admission fee = $25
Total amount for scenario 1:
If number of visits = x
Total cost = $(15 + 25) × number of visits
Total cost : $40x
With membership :
Price of membership = $110 (one time payment)
Parking fee = $10
Admission fee = $0
Let number of visits = x
Total cost :
Membership fee + (parking fee × number of visits)
$110 + ($10 * x)
= 110 + 10x
B) number of visits for which member cost is less than non-member cost :
Member cost = 110 + 10x
Non member cost = 40x
110 + 10x < 40x
10x - 40x < 110
-30x < 110
x > 3.67
Hence x = 4
Number of visits for which member cost is greater than non member cost is 4
Answer:
x^2 -8x -5 = -3
x^2 -8x -2 = 0
We complete the square by:
1) Moving the "non X" term to the right:
x^2 -8x = 2
2) Dividing the equation by the coefficient of X²
The coefficient of x is 1 so we don't do anything
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X
that is -8
• divide it by 2
-8 ÷ 2 = -4
• square that number
-4*-4 = 16
• then add it to both sides of the equation.
x^2 -8x +16 = 2 +16
That becomes
(x -4)^2 = 18
we take the square root of both sides:
(x -4) = sqr root (18)
x1 = sqr root (18) +4
AND
(x+4) = sqr root (18) -4
x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871
x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
Step 1 = 3.9 × 0.5 + 4 5/6 ÷ 3 3/7
Step 2 = 3.9 × 0.5 + 29/6 ÷ 24/7
Step 3 = 4.4 + 29/6 × 24/7
Step 4 = 4.4 + 29/1 × 4/7
Step 5 = 4.4 + 111/7
Step 6 =44/10 + 111/7
Step one : Write the problem
Step two : Change the mixed numbers to improper fractions
Step three : Multiplication and Division should be done first. Then simplify.
Step four : Change the division to multiplication and multiply.
Step 6 : Add the remaining fractions
Sorry i didn't know which one so i did the first one. Hope it helps you.
