Answer:
The required inequalities are
and
.
Step-by-step explanation:
Consider the provided information.
Daniel moves no more than 30 of his sheep and goats into another field.
Let s represent the number of sheep and g represent the number of goats.
No more than means the number of sheep and goats should be less than or equal to 30.
For less than or equal to use the inequality ≤
Hence the required inequality is: 
More than 7 of his animals are sheep.
This can be represented as:

Hence, the required inequalities are
and
.
Answer:
53 cupcakes
Step-by-step explanation:
Take the amount of frosting and divide by the amount needed per cupcake
431/8
53.875
We round down since we cannot frost part of a cupcake
53 cupcakes
If what you mean by the "percent of people 50 years old belong to group A" is the percentage of 50-year old people with respect to the total number of people belonging to group A, then the answer is
32/(19+32) * 100 = 63%
But, if what you mean is the percentage of 50-year old people in group A with respect to the total number of 50-year old people, then the answer will be
32/(32+24) * 100 = 57%
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 2, 3) and r = 3 , then
(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL
x² + 4x + 4 + y² - 6y + 9 = 9 ( subtract 9 from both sides )
x² + y² + 4x - 6y + 4 = 0 → A
Answer:
110
Step-by-step explanation:
To find the constant of variation, divide the number of km by the number of hours:
165/1.5
= 110
This means that the speed of the train is 110 km per hour.
So, the constant of variation is 110.