$6 ? 5+4 =9
9-3 =6
I don't know if this is correct but this is how I would do it
To solve for the solution of this system of linear equation, it is best to use substitution. From the first equation, x = 3y
Substituting the expression on the right for the value of x on the second equation,
-2(3y) + 3y = 16
Solving for the value of y gives y = -5 1/3
With this value of y, solving for x gives x = -16
Thus, the solution for this system of linear equation is (-16, -5 1/3)
Even number: 2 possible outcomes
B: One possible outcome
Answer:
No, the area of the dilated triangle will increase by a factor of 9
Step-by-step explanation:
When the scale factor by which the dimensions is dilated = 3, we have;
The original length of base = b
The base length of the dilated triangle = 3×b
The original height of the the triangle = h
The height of the dilated triangle = 3×h
The original area of the triangle = 1/2 × base × height = 1/2×b×h
The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle
∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h
Which gives;
The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.
From 3² = 9, we have;
The area of the dilated triangle = 9 × The original area of the triangle.
Therefore;
The area of the dilated triangle will increase by a factor of 9.
Answer:
1.6 tablespoons
Step-by-step explanation:
Let’s make a proportion
syrup/cupcakes=syrup/cupcakes
4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.
4/10=x/4
Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*4/10=x/4*4
The 4s on the right will cancel, so we are left with:
4/4*10=x
1.6=x
So, 1.6 tablespoons are needed for 4 cupcakes.
