Solve the inequality:3p-6>21

Answers

Answer 1
Answer: 3p - 6 > 21
3p >27
p > 9
Hope this helps!
Answer 2
Answer: The answer is p>9 , sorry if it's hard to read

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Two satellites are orbiting earth. The path of one satellite has the equation x² + y² = 56 200 000. The orbit of the other satellite is 200 km farther from the centre of the earth. In one orbit how much farther does the second satellite travel than the first satellite?

Answers

x^2+y^2=r^2

r^2=56200000
r=7496.66
r2=200
r-r2=7296.66
answer:7296.66

Y = X3 – X –1 if x = -1, Y = ?

Answers

Answer:

-3

hope this helps!

Step-by-step explanation:

(-1)3 - (-1) - 1 =

-3 - (-1) - 1 =

-2 - 1 = -3

Y = ( -1 ).3 - ( -1 ) - 1

Y = -3 + 1 - 1

Y = -3

When Quentin flew from New York to Atlanta,the pilot announced that they were flying at 33,000 feet.How many miles is this?Write as a mixed number.

Answers

There are 5280 feet in a mile. So, 33000/5280=6.25 miles. This is equivalent to 6 1/4 miles in fraction form.

A dietitian wishes to plan a meal around three foods. Each ounce of food A contains 10% of the daily requirements for carbohydrates, 10% for protein, and 15% for vitamin D. Each ounce of food B contains 10% of the daily requirements for carbohydrates, 5% for protein, and 0% for vitamin D. Each ounce of food C contains 10% of the daily requirements for carbohydrates, 12.5% for protein, and 10% for vitamin D. Let x, y, and z, respectively, be the number of ounces of foods A, B, and C required in order to supply exactly the daily requirements for each nutrient. Find them by setting up a system of equations and solving it.

Answers

Answer:  x = 4, y = 2, z = 6

Step-by-step explanation: 4 ounces of Food I,  2 ounces of Food II,  6 ounces of Food III.

Two more than the product of -5 and a number x is 5...what is the number

Answers

-5x+2=5
-5x=3
x=3/-5
x=-0.6

The park is 6 mi due east of Freeport High School, and the library is 4 mi due west of the school. The police department is located due north of the school and is 5 mi from the library.How far is the police department from the park? Round to the nearest tenth of a mile.


blank mi

Answers

The answer is 6.7 mi.

Since the right triangle is present, to calculate this we will use the Pythagorean theorem. According to the Pythagorean theorem, the square of the hypotenuse (c²) is equal to the sum of the squares of two other sides (a² + b²):
c
² = a² + b²

First, we need to express symbols:
b - side of the right triangle (distance 
between police department and Freeport High School).
a1 - 
side of the first right triangle (distance between library and Freeport High School).
a2 - 
side of the second right triangle (distance between park and Freeport High School).
c1 - hypotenuse of the first triangle (distance between 
police department and library).
c2 - 
hypotenuse of the second triangle (distance between police department and park).

Therefore, we need to calculate c2.
It is given:
a2 = 6 mi
a1 = 4 mi
c1 = 5 mi

First, let's calculate b, which is a common side for two triangles:
c1² = a1² + b²
b² = c1² - a1²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² = √9
b = 3.

We know b, now we can calculate c2:
c2² = a2² + b²
c2² = 6² + 3²
c2² = 36 + 9
c2² = 45
√c2² = √45
c2 = 6.7

The distance between police department and park is 6.7 miles.