Answer:
<em>8 14/45</em>
Step-by-step explanation:
First, place 8/9 anywhere there is a y:
6+8(8/9-3/5)
Next, do what is in the parenthesis. Make both fractions have the same denominator.
6+8(40/45-27/45)
And now subtract:
6+8(13/45)
Now, multiply 8 and 13/45:
6+ 104/45
Convert the fraction to a mixed fraction:
2 14/45
Finally, add 6:
8 14/45
<h3>
Hopefully I helped :)</h3>
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,

Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
Answer:
86 milkshakes and 63 ice cream were sold
Step-by-step explanation:
Let the amount of milkshake sold be x
Let the amount of ice cream sold be y
If she sold 149 milkshakes and ice cream cones then;
x+y = 149 ... 1
If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;
4x + 3y = 533 ....2
Solve both equations simultaneously
x+y = 149 ... 1 * 4
4x + 3y = 533 ....2 * 1
________________________
4x+4y = 596
4x+3y = 533
Subtract
4y-3y = 596-533
y = 63
since x +y = 149
x+63 = 149
x = 149 - 63
x = 86
Hence 86 milkshakes and 63 ice cream were sold
Answer:
10
Step-by-step explanation:
Answer:
angel b is 70 because all the degrees in a triangle must add up to 180