The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan.
Only the third model shows parallel lines cut by a transversal.
We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out.
In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out.
Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three.
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
24 cause you can only fit 24 on a backsplah