Answer:
Remove 1 x-tile from both sides.
Remove 3 unit tiles from both sides.
Step-by-step explanation:
2x + 3 = x + 5
First we want all the variables on one side
Subtract x from each side so Remove 1 x-tile from both sides.
x+3 = 5
Now we need to get all the constants on the same side
Subtract 3 from each side so Remove 3 unit tiles from both sides.
x = 5-3
x=2
Answer:
1800(5/6)^t
Step-by-step explanation:
I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.
Answer:
Length = 6.25 feet
Step-by-step explanation:
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.
Let the width is x.
Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet
Perimeter = 20 feet
2(l+b) = 20
(l+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
Answer:
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Step-by-step explanation:
From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
6x - 3y = 15.....multiply by 4
7x + 4y = 10....multiply by 3
---------------
24x - 12y = 60 (result of multiplying by 4)
21x + 12y = 30 (result of multiplying by 3)
---------------add
45x = 90
x = 90/45
x = 2
6x - 3y = 15
6(2) - 3y = 15
12 - 3y = 15
-3y = 15 - 12
-3y = 3
y = -3/3
y = -1
solution is (2,-1) <==