Answer:
The solution to the system of equations is:
x = 2, and y = -1
Explanation:
Given the pair of equations:
4x + 5y = 3 ..........................................................................(1)
2x + 3y = 1............................................................................(2)
To solve this by elimination:
Multiply equation (2) by 2, to eliminate x
Equation (2) becomes
4x + 6y = 2 .........................................................................(3)
Subtract equation (1) from (3)
4x - 4x + 6y - 5y = 2 - 3
y = -1 ....................................................................................(4)
Multiply equation (1) by 3 and equation (2) by 5 to eliminate y
Equation (1) becomes
12x + 15y = 9 .......................................................................(5)
Equation (2) becomes
10x + 15y = 5 ........................................................................(6)
Subtract equation (6) from (5)
12x - 10x + 15y - 15y = 9 - 5
2x = 4
Divide both sides by 2
x = 4/2 = 2 ............................................................................(7)
From equations (7) and (4)
x = 2, and y = -1
X=number of books that cost 0.60
y=number of books that cost 0.75
x+y=16
0.6x+0.75y=10.95
solve
multiply second equation by 10 for nicity
6x+7.5y=109.5
multiply first equesiotn by -6 and add to second
-6x-6y=-96
<u>6x+7.5y=109.5 +</u>
0x+1.5y=13.5
1.5y=13.5
divide both sides by 1.5
y=9
sub back
x+y=16
x+9=16
minus 6
x=7
seven 0.60 books and nine 0.75 books
Hello.
<span>
1/3 cup = 130 cal
1/2 cup = [(1/2) x 130] / (1/3) = 195 cal
</span>
Have a great day!
1 - ( 2/3 + 1 /4 ) =
= 1 - ( 8 / 12 + 3 / 12 ) =
= 1 - 11 / 12 = 12 / 12 - 11 /12 = 1 /12
Answer:
1 / 12 of the girls in class have neither blue or brown eyes.
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we can use the Heron’s formula
Mathematically we have the Heron’s formula as;
A = √s(s-a)(s-b)(s-c)
where s = (a + b + c)/2
Thus, s = (15 + 12+ 10)/2 = 18.5
a = 15, b = 12 and c = 10
Plugging these values into the equation, we have
√18.5(18.5-15)(18.5-12)(18.5-10)
= √18.5(3.5)(6.5)(8.5)
= √ 3,577.4375
A = 59.8116
which is approximately 59.8 square units
