A container is shaped like a rectangular solid with sides of 3 inches, 3 inches, and 11 inches. What is its approximate capacity, if 1 gallon equals 231 cubic inches?

Answers

Answer 1
Answer: It would be about 4/10 of a gallon

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Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

25 meals

Step-by-step explanation:

All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)

Is the inequality sometimes,always, or never true ? A. 3(x +3) >- 3 (2 +x)
B. 9-x-5<-x+4

Answers

A. 3(x + 3) > -3(2 + x)  SOMETIMES TRUE

3(x + 3) > -3(2 + x)      |use distributive property a(b + c) = ab + ac

3x + 9 > -6 - 3x      |add 3x to both sides

6x + 9 > -6     |subtract 9 from both sides

6x > -15    |divide both sides by 6

x > -15/6

x > -2.5

B. 9 - x - 5 < - x + 4      NEVER TRUE

9 - x - 5 < - x + 4

4 - x < - x + 4    |add x to both sides

4 < 4 FALSE

Solve the inequality 6x − 8 > 4x + 26.x < 9

x < 17

x > 9

x > 17

Answers

Answer:

The last option is the correct answer.

Step-by-step explanation:

The given inequality is :

6x-8>4x+26

Pairing the like terms together we have :

6x-4x>26+8

=> 2x>34

Now we will divide both sides by 2;

=> x>17

Thus, the answer is x>17.

The last option is the correct answer.

Hello,
Answer D (x>17)

6x-8>4x+26
==>6x-4x>26+8
==>2x>34
==>x>17

Work out (25/9) to the power of -3/2

Answers

To work out (25/9) to the power of -3/2, we can use the property of exponentiation. The negative exponent signifies taking the reciprocal of the base raised to the positive exponent. Additionally, the fractional exponent indicates taking the square root of the base raised to the numerator and then taking the reciprocal of the result raised to the denominator. Let's calculate it step by step.

Determine the direction in which the parabola opens, and the vertex. y =x2 + 6x + 14

Answers

A parabola can be written in the form y = ax^(2)   +  bx  +  c.  If x is squared then the parabola open vertically (either upwards or downwards) while if y is squared then the parabola opens horizontally to the left or right. 
since in this equation x is squared the the parabola opens either upwards or downwards vertically.


If the coefficient a is positive, then that means that the parabola has a minimum value and opens upwards (smiley face) while if a is negative then that means the parabola has a maximum and opens downwards (sad face)
since in this equation a is positive then that means that not only does the parabola open on the vertical plane, but it also has a minimum and opens upwards (smiley face).

Solve this inequality j/4 -8<4

Answers

(j)/(4) - 8 < 4
Take 8 to the right side
(j)/(4) < 12
Multiply by 4 on either sides to isolate the variable
j < 48