Using the rule multiply by 5, subtract 1 what is the next number in the pattern below? 3, 15, 14

So what we have to do is divide the total of 4 liters by the fraction 4/5.

That gives us:

4 ÷ 4/5

Well before we go any further with the expression, we have to remember we can't actually divide by a fraction. So, instead, we multiply by the fraction's reciprocal. That gives us:

4 x 5/4

Now that we can do.

4 x 5/4 = 20/4, which we simplify to 5.

Dayton's restaurant has 5 servings of soup left. Hope I helped :)

The point pair establishing a line with a slope of -4/3 is  (-1, 6) and (-4, 10). which is the correct answer would be an option (A).

What is the slope of the line?

The slope of a line is defined as the gradient of the line.

To determine the slope of a line, we can use the formula: slope m = (y₂ - y₁)/(x₂ -x₁ )

Using this formula, we can calculate the slope for each of the pairs of points given:

A) (-1, 6) and (-4, 10):

slope = (10 - 6)/(-4 - (-1)) = -4/3

B) (6, -1) and (-4, 10):

slope = (10 - (-1))/(-4 - 6) = -11/10

C) (-1, 6) and (10, -4):

slope = (-4 - 6)/(10 - (-1)) = -10/11

D) (6, -1) and (10, -4):

slope = (-4 - (-1))/(10 - 6) = -3/4

Therefore, the pair of points that defines a line with a slope of -4/3 is (-1, 6) and (-4, 10).

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Slope is defined as (y2-y1)/(x2-x1)

"A" gives a slope of (10-6)/(-4-(-1))=4/-3=-4/3

Hope this helped

Answer:

Option B

Step-by-step explanation:

we know that

If the lines g and h are parallel

then

-----> by alternate exterior angles

we have that

therefore

Answer:

615.6

Step-by-step explanation:

First find the number of cubic feet.

V = B * h

B is a triangle with a right angle on your left and two 6 foot lengths on each leg.

Area = 1/2 b * h

b = 6 feet

h = 6 feet

Area = 1/2 * 6 * 6 = 18 square feet.

The volume = B * h

h = 11.4

B = 18 sq ft

Volume = 18 * 11.4

Volume = 205.2 Cubic Feet.

Each cubic foot costs 3.00 dollars

Cost = volume * cost/cu foot

Cost = 205.2 * 3

Cost = 615.6

The required answer would be a fraction of 9/5 which is determined by 3 3/4 Divided by 2 1/12.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

To determine the evaluation of 3 3/4 Divided by 2 1/12

⇒ 3 3/4 ÷ 2 1/12

Convert the mixed fractions into the Improper fraction, we get

⇒ 15/4 ÷ 25/12

Apply the Division operation, and we get

⇒ (15/4) / (25/12)

Reciprocal the terms of the denominator

⇒ (15/4) × (12/25)

⇒ (15/4) × (12/25)

⇒ 180/100

⇒ 18/10

⇒ 9/5

Therefore, the required evaluation of 3 3/4 Divided by 2 1/12 would be a fraction of 9/5.

Learn more about the fractions here:

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