Rewrite the first equation: 3y=-2x-17. The equations are coincidental and -17 is one sixth of -102 so the other coefficients need to be multiplied by 6: 18y=-12x-102.
Since this triangle has two congruent angles/sides, we know that it is an isosceles. We can tell by looking at the markings on the triangles: The curves on both angles A and C indicate that they are congruent, and the markings on lines AB and CB also tell us that they are congruent.
To solve for x, we set up our equation like this:
Since we know that lines AB and CB are congruent, that means 4x - 20 is equal to 2x + 30.
To solve, we can first subtract 2x from both sides and add 20 to both sides.
Then, we divide both sides by 2 to isolate x.
We can check if our answer is correct by plugging in our value for x into both expressions and see if they equal the same thing.
Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
Answer:
r = 10/7 inch
the total amount of rain the city received in July is 10/7 inch.
Step-by-step explanation:
Let r represent the total amount of rain the city received in July.
The equation 4/10r = 4/7
Can be used to find the amount of rain r in inches the city received in July.
Solving the equation;
4/10 r = 4/7
Multiply through by 10/4;
4/10 r × 10/4 = 4/7 × 10/4 = 10/7
r = 10/7 inch
the total amount of rain the city received in July is 10/7 inch.
The equation 9x=-7 But X is equal to x=-7/9
