Randy made 64 ballon animals and her sister made 32 ballon animals
<em><u>Solution:</u></em>
Let the number of ballon animals sold by Randi be "x"
Let the number of ballon animals sold by her sister be "y"
Cost of 1 ballon animal = $ 0.50
<em><u>Rando made twice as many animals as her sister</u></em>
Number of ballon animals sold by Randi = twice the number of ballon animals sold by her sister
x = 2y ---- eqn 1
<em><u>Together, they earned $ 48</u></em>
Therefore, we can frame a equation as:
Number of ballon animals sold by Randi x Cost of 1 ballon animal + number of ballon animals sold by her sister x Cost of 1 ballon animal = 48
<em><u>Therefore, from eqn 1</u></em>
x = 2y
x = 2(32)
x = 64
Thus Randy made 64 ballon animals and her sister made 32 ballon animals
Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
For this fraction, we have (3x+2) in both the numerator and the denominator. So, they will be cancelled together.
Then we can notice that we can divide the coefficients in the numerator and the denominator by 9 as 36/9 = 4 and 9/9 = 1
So, the expression now becomes:
(x+7) / 4(x-5) which is the simplest form.
Answer:
(-2, 2)
Step-by-step explanation:
Take point (3, 2) and first translate it left one unit. Now the point is (2, 2)
Now reflect it over the y-axis. Doing so keeps the y value the same, we have a vertical line of reflection, so we are only changing the distance to the y-axis, which is the x-value.
Our x value is 2 units away from the y axis, so its reflection will be 2 units away on the other side of the axis.
The new x value is -2, so the point is (-2, 2)
(y - yo) = m.(x - xo)
We have two points (-4, -1) and (1, 4)
(-1 - 4) = m.(-4 - 1)
(-5) = m.(-5)
m = (-5)/(-5)
m = 1
So the slope is 1
