Answer:
x<10
Step-by-step explanation:
got it from the test
Answer: The answer in decimal form is 0.75
Step-by-step explanation: We know Ramon has 7/8 cup of cottage cheese.
He wants to know how many 1/4 cup servings can he make. 1/4 can also be written as 2/8 cup servings. 1/4 and 2/8 are equivalent.
He can only make three 1/4 cup servings of cottage cheese.
3 x 1/4 = 3/4
3/4 written in decimal form is 0.75
Answer:
Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E
Step-by-step explanation:
The coordinates of rectangle D are:
(-1, 1)
(-1, 4)
(-3, 1) and
(-3, 4)
The rule of reflection across x-axis is given by:





Next, translate this 8 unit right which is given by:





⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.
Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E
Answer:
Adult ticket = $11
Children ticket = $9
Step-by-step explanation:
Let the price of adult tickets be x and let the price of children's ticket be y
For the first day, the equation of sales can be put as
3x + 12y = 141..........1
For the second day, the equation of sales can be put as:
13x + 6y = 197............2
We then take these two equations together and solve simultaneously.
3x + 12y = 141.......1
13x + 6y = 197........2
Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.
39x + 156y = 1833.........3
39x + 18y = 591..............4
Then subtract equation 4 from equation 3
138y =1242
y = 9
Substitute "y=9" into equation 1 to find x
3x + 12(9) =141
3x + 108 = 141
3x = 141 - 108
3x = 33
x = 11
Hence,
Price of adult ticket = $11
Price of children ticket = $9