Answer:
Step-by-step explanation:
Given rule for the multiple translations is,
Apply the rule 
first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,
(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
Answer:
17.5
Step-by-step explanation:
The ratio of "pure drug" to liquid is 35:150
Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2
we can then multiply 35 by the ratio 1/2
35/2=17.5
State the answer
In 75 mls there are 17.5 grams of pure drug
Answer:
8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Step-by-step explanation:
Price without Discount Card Price with Discount Card
Ticket (12 & Under) $10 $8
Adult's Ticket $15 $12
Let x be the number of visits
Price without discount card for 2 adults and 1 child ticket
Price without discount for x visits = 
Price with discount for x visits =
Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
57+32x< 40x
57<8x
7.1<x
So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Answer:
0.3, 0.32, 0.321, 0.345
Step-by-step explanation:
The maximum number of decimals shown in the series is 3.
Therefore, let's rewrite all the numbers with three decimal places.
0.32, 0.321, 0.3, 0.345 can be written as
0.320, 0.321, 0.300, 0.345
Now, we can easily compare the numbers and we can conclude:
0.300 < 0.320 < 0.321 < 0.345
Hence, the smallest to largest order is:
0.3, 0.32, 0.321, 0.345
