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mr Goodwill [35]
4 years ago
8

Which ordered pairs are solutions to the inequality y − 4x ≤ −6?

Mathematics
1 answer:
Troyanec [42]4 years ago
7 0
Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong

Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct

Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong

Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct

Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong
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6 0
3 years ago
Which explanation can be used to informally derive the formula for the volume of a cone?.
Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

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6 0
2 years ago
What is 30=8+4(z-2) step by step?
Stolb23 [73]

30=8+4(z-2)

Distribute 4 through the parentheses

30=8+4z-8

Eliminate the opposites

30=4z

Swap the sides of the equation

4z=30

Divide both sides of the equation by 4

4z÷4=30÷4

Any expression divided by itself equals 1

z=30÷4

or write the division as a fraction

z=30/4

copy the numerator and denominator of the fraction

30=2x3x5

4=2x2

Write the prime factorization of 30

Write the prime factorization of 4

30=2          x3x5

4=2x2

    2

Line up the common factors in both lists

Copy the common factors

Since there is only one common factor, the common factor 2 is also the greatest common factor

30÷2/4÷2

  2

Divide 30 and 4 by the greatest common factor 2

15/4÷2

Divide the numbers in the numerator

15/2

Divide the numbers in the denominator

15/2

The simplified expression is 15/2

That's it. hope it wasn't too hard to understand?

7 0
3 years ago
14. Ginny has 26 tests to correct. It takes her
katovenus [111]

Answer:

13 hours

Step-by-step explanation:

If she has 26 tests and it takes her Half an hour to correct each test, we know here's are two half an hour a in one hour so we can then divide 26 by 2 to get 13.

7 0
3 years ago
Read 2 more answers
What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and wi
nlexa [21]

Answer:

<em>Option D: 159 3/8 cm^3 </em>

Step-by-step explanation:

1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3

2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>

3. Substitute and compute the volume through algebra:

5 cm * 8 1/2 cm * 3 3/4 cm =

5 cm * 17/2 cm * 15/4 cm =

85/2 cm^2 * 15/4 cm =

1275/8 cm^3 =

<em>159 3/8 cm^3</em>

4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>

3 0
3 years ago
Read 2 more answers
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