Answer:
a. Short-Sleeve = 35
b. Long-Sleeve = 27
Step-by-step explanation:
Given data:
Total shirts sold = 62
short sleeved cost = 11 each
Long sleeved cost = 17 each
Total receipts = 844
<em>Let the count of short sleeved be X and Let the count of long sleeved be Y</em>
X + Y = 62 <em>(equation 1) from the total shirts sold</em>
11X + 17Y = 844 <em>(equation 2) from the total receipts</em>
<em>From equation 1</em> X = 62 - Y <em>(Equation 3)</em>
<em>Substituting equation 3 into equation 2</em>
11(62 - Y) +17Y = 844
682 -11Y + 17Y = 844
-11Y + 17Y = 844-682
6Y = 162
Therefore Y = 27
<em>Substituting Y into equation 3</em>
X = 62 - Y
X = 62 - 27
X = 35
Answer:
Step-by-step explanation:
3. slope of CB = rise/run = 5/12 BF = 5 CF = 12
BF ⊥ DF
DB (seg of two farthest points) = √BF²+DF² = √5²+32² = √1049 = 32.4
4. f(x) = 2x² - 5x -3 vertex : A (h,k) for f(x) = ax² + bx +c
h = - b/2a = - (-5 / 4) = 5/4
f = f(h) = 2*(5/4)² - 5*(5/4) - 3 =25/8 - 25/4 -3 = -49/8
A (5/4 , - 49/8) i.e. (1.25 , - 6.13)
negative root: 2x² - 5x -3 = (2x+1) (x- 3) x = - 1/2 y = 0
B (- 1/2 , 0)
x coordinate of AB: 1/2 (1.25 + -0.5) = 0.375
Answer:
=24.5%
Step-by-step explanation:
- Simple interest = (principal×rate×time)÷100. *brackets first*
- transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
- plug in values: rate = (100×37975) ÷ (31000×5)
- the result is 24.5%