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denpristay [2]
3 years ago
6

If x is a prime number, what is the value of x? (1) 2 x + 2 is the cube of a positive integer. (2) The average of any x consecut

ive integers is an integer.
Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer: what is the value of x? The answer is 3.

Step-by-step explanation:

2x + 2 = y^3 where y is a positive integer. One possible answer for this is 3, because 2*3 + 2 is 8, that is 2^3, so 2 * 2 * 2 = 8. Also the second restrictions says that x consecutive numbers added and then divided by x will give an integer. So 2 + 3 + 4 = 9 and 9/3 = 3, that is an integer, and we have 3 consecutive numbers, therefore the answer is 3, as 3 is prime as well.

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the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day car
drek231 [11]

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

  • Let the cost for full-day be F.
  • Let the cost for half-day be H.
  • Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

7 0
2 years ago
A scuba diver swam 96 feet beneath the surface of the lake.he then climb up 49 feet .wat is the depth now?
lakkis [162]

Answer:

The depth now is 47 feet below the surface of the lake

Step-by-step explanation:

Step 1: Determine initial depth

Initial depth=surface level-depth below surface

where;

Surface level=0, since its the point of reference

depth below surface=96 feet

replacing;

Initial depth=(0-96)=-96 feet

Step 2: Final depth

Final depth=Initial depth+distance covered

where;

Initial depth=-96 feet

distance covered=+49 feet since the scuba driver moves towards the surface

replacing;

distance covered=-96+49=-47 feet

The depth now is 47 feet below the surface of the lake

5 0
3 years ago
Alice is paying her bill at a restaurant. The tax on the cost of her meal is 5%. She decides to leave a tip of 20% of the cost o
AnnyKZ [126]
5% is 0.05 in decimals. To get 5% of M, multiply it. To convert a percentage into decimals, divide the number by 100. 20/100 is 0.2. 0.2 is the tip. Do the same as 0.05 and add in the actual cost of the meal (M). Check image

6 0
3 years ago
Question 3 of 5
satela [25.4K]

Answer: 8

72π=226.19

226.19=π3^2h

226.19=π9h

226.19=28.27h

226.19/28.27=h

8=h

I hope this is good enough:

6 0
3 years ago
Read 2 more answers
Write the equation of the line shown in the table below in slope intercept form.
creativ13 [48]

Answer:

y=5/2x+9

Step-by-step explanation:

0, 9 is the y intercept or b

4 0
3 years ago
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