If w= the weight of trout. Which algebraic expression represents the phrase below?

Final answer:

To find the width of a rectangle with an area of 45 square inches and a length of 9 inches, divide the area by the length, resulting in a width of 5 inches (Option A).

Explanation:

The area of a rectangle can be calculated by multiplying its length by its width. In this case, we know the area is 45 square inches and the length is 9 inches. To find the width, we divide the area by the length.

Width = Area ÷ Length = 45 sq in ÷ 9 in = 5 in

Therefore, the width of the rectangle is 5 inches, which corresponds to option A.

Experimental value = 10 km
accepted value = 12 km

Step 1: Deduct the accepted value from the experimental value.

10 km – 12km = -2 km

Step 2: Take the absolute value of step 1

|--2km| = 2km

Step 3: Divide that answer by the accepted value. 2km/10km = 0.2%

Answer: In a triangle, the sum of the 3 angles is always equal to 180°

Then if the angle A is equal to 30°, the angle B is equal to 70°, what is the angle C?

if x is the angle C, and using the first statement, we got:

30° + 70° + x = 180°

100° + x = 180°

x = 180° - 100° = 80°

So the angle of C is equal to 80°.

Final answer:

A plus sign before a number does not change its value. In the expression 2++2, the two plus signs next to each other are interpreted as a positive number followed by another positive number.

Explanation:

When you put a plus sign before a number, it doesn't change the value of the number.

The plus sign is just a symbol to indicate that the number is positive.

In the expression 2++2, the two plus signs next to each other are not a valid mathematical operation.

Instead, it is interpreted as a positive number followed by another positive number.

So, 2++2 is equal to 2+2, which is 4.

Answer: the equation is 7m + 19

Step-by-step explanation:

The remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.

The given expressions are [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] and 2x-1.

The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.

The division of the given expressions are given below:

           2x³-4x²+5x+6

       ___________________

2x-1 | [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex]

      - ([tex]4x^4-2x^3[/tex])

     ____________________

                 -8x³+14x²+7x-19.

               -(-8x³+4x²)

      ______________________

                        10x²+7x-19

                      -(10x²-5x)

                       __________

                                12x-19

                               -(12x-6)

                             _________

                                      -13

Therefore, the remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.

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338.50 - 45 = 293.50 was spent on tolls

293.50 / 14 = 20.96

 so 21 tolls

Answer:

48 miles per hour

Step-by-step explanation:

5hrs and 15minutes = 315minutes

If 252 = 315

       x = 60

By cross multiplication

315x = 60 * 252

315x = 15,120

x = 15120/315

x = 48 miles per hour

Answer: B.)determine the number of steps needed

Step-by-step explanation:

A geometric proof of a geometric statement includes the following steps :-

a) Evaluate the given statement.

b) Look carefully at the figure related to the geometric statement .

c) Create a plan to express the proof.

d)Then use definitions, given axioms, postulates and previously proved theorems to write a logical explanation approaches to the conclusion.

Hence, the step is not important to develop a plan for a geometric proof: is "determine the number of steps needed" .

Mr. Guzman drove 1080 miles in 6 weeks. To find the distance driven each week, use the equation d = 1080 ÷ 6, which equals 180 miles per week. Therefore, the correct equation is option D.

Mr. Guzman drove 1080 miles in 6 weeks. We need to find out how far he drove each week if he drove the same distance every week.

Set Up the Equation: Since Mr. Guzman drove the same distance every week, we use the formula:

Substitute Known Values:

Calculate the Result:

The correct equation that shows how far Mr. Guzman drove each week is d = 1080 ÷ 6, which corresponds to option D.

Unit conversion is the conversion of one unit to another unit with its standard conversion.

The actual dimension of the recreation room is 24 feet x 21 feet.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

1m = 100 cm

1 hour - 60 minutes

We have,

Recreation room dimension on the blueprint:

= 2 inches x 1.75 inches ______(A)

Scale factor:

1 inch = 12 feet

The actual dimension of the recreational room:

1 inch = 12 feet

Multiply 2 on both sides.

2 inches = 24 feet _____(1)

1 inch = 12 feet

Multiply 1.75 on both sides.

1.75 inches = 1.75 x 12 feet

1.75 inches = 21 feet ______(2)

From (1) and (2) and (A) we get,

= 2 inches x 1.75 inches

= 24 feet x 21 feet

Thus,

The actual dimension of the recreation room is 24 feet x 21 feet.

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