Answer:
is there answer choices
Step-by-step explanation:
4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
Volume of rectangular prism = length * width * height
Volume of triangular prism =( length * height * base )/2
Given,
Volume of rectangular prism = 18 + volume of triangular prism
18x = 18+14x
4x=18
x= 4.5 ft
So volume of rectangular prism = 6* 4.5* 3 = 81 ft³
Volume of triangular prism = (7* 4.5 * 4) / 2 = 63 ft³
The answer is B.
in the original equation, CH4 + O2 → CO2 + H2O, there are:
REACTANTS: 2 carbon, 4 hydrogen, 2 oxygen
PRODUCTS: 2 carbon, 2 hydrogen and 1 oxygen.
If we change the equation to this,
CH4 + 2O2 → CO2 + 2H2O, then there are now:
REACTANTS: 2 carbon, 4 hydrogen, 4 oxygen
PRODUCTS: 2 carbon, 4 hydrogen, 4 oxygen
and thus the equation is balanced
Answer:
0.273
Step-by-step explanation:
Let the number of insured pieces of luggage be <em>i</em> and <em>u</em> be the number of uninsured pieces of luggage, therefore,
<em>i </em>+ <em>u </em> = 27
Now,
probability that exactly one of the damaged pieces of luggage is insured = (iC1)(uC3)/(27C4)
probability that none of the damaged pieces are insured = (uC4)/(27C4)
and,
(iC1)(uC3)/(27C4) = 2 (uC4)/(27C4)
=> <em>u − </em>2<em>i </em>= 3
By solving, <em>i </em>+ <em>u </em> = 27 and <em>u − </em>2<em>i </em>= 3
<em>i</em> = 8 and <em>u</em> = 19
and,
(8C2)(19C2)/(27C4) = 0.273
