a rectangular room is 7 feet wide. it is twice as long as it is wide. what is the perimeter of the room?

6 students are there in a class.

Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?

In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.

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Shelley's score = 90x

Terrence's score = 90x-20

Difference between them is (90x - 20 - 90x) = -20

The constant term represents the difference between Shelly's and Terrence's scores.

Answer:

Givens:

Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be

[tex]B=12+S\\B+S=420[/tex]

Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:

[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]

Then, we replace this value into the first equation

[tex]B=12+S\\B=12+204=216[/tex]

This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.

[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \  24 sec[/tex]

[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36  sec[/tex]

Answer:

Given,

The number of meters covered by Joshua in 1 minute = 25 meters,

So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,

⇒ y = 25x,

Which is the equation of line passes through origin,

If x = 1, y = 25,

If x = 2, y = 50,

So, by joining the points (1, 25) and (2,50) we will get the graph,

∵ Slope of a line y = mx + c is m,

By comparing,

The slope of the above line is 25 that shows the rate of change in meters per minute.

Note : x ≥ 0, because number of minutes can not be negative.

The coordinates (4, 0) and (3, -1) represents the solution of the function f(x).

We have a function -

y = f(x) = x - 4

We have to identify the possible solutions of this function from the ones mentioned.

The solution of the function is the possible values of x (say a) for which f(a) equals to y.

According to the question -

y = f(x) = x - 4

Case 1 : P(4, 0)

0 = 4 - 4 = 0

P(4, 0) represents a solution

Case 2 : P(3, -1)

-1 = 3 - 4 = -1

P(3, -1) represents a solution

Case 3 : P(6, 3)

3 = 6 - 4 ≠ 2

P(6, 3) does not represents a solution

Case 4 : P(2, -4)

-4 = 2 - 4 ≠ -2

P(2, -4) does not represents a solution

Hence, the coordinates (4, 0) and (3, -1) represents the solution of the function f(x).

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The required change in the value of the gift card is $ 81

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A shopper uses a department-store gift card to pay for 3 sweaters priced at $27 each.

According to given question we have

By the use of arithmetic we have

1 sweaters priced = $27

3 sweaters priced =  $27 ×3

3 sweaters priced =$ 81

Therefore, the required change in the value of the gift card is $ 81

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Final answer:

To convert 40 meters to centimeters, multiply by 100, since there are 100 centimeters in a meter. The result is 4000 centimeters.

Explanation:

To convert 40 meters to centimeters, we need to determine the correct conversion factor between meters and centimeters. Since we are going from a larger unit to a smaller unit, we will multiply.

There are 100 centimeters in one meter, so we use this as our conversion factor.

The conversion is as follows:

Therefore, 40 meters is equal to 4000 centimeters.

Answer:

0.05

Step-by-step explanation:

Given function:

1.00=100%=100

this means..

5 of 100=0.05.

What type of equation will best fit the data below?

The given data represents a parabolic curve, that means it is a quadratic equation.

Explanation:

A parabola is defined as a curve with all the points at an equal distance from the focus and the straight line. While calculating the whole parabola, make sure that the equation for the given parabola must be in the standard quadratic form f(x) = ax² + bx + c, where "a" is not equal to zero.

Answer:

142≤ x.

Step-by-step explanation:

Given : rectangle a perimeter of at least 300 ft and Length: 3ft  and width formula: x+5ft.

To find : Writing an inequality for x that would give this rectangle a perimeter.

Solution : We have given length = 3 ft.

Width = x + 5 ft .

Perimeter =  300 feet .

Perimeter = 2 ( length + width ) .

Plugging the values and greater than equal to sign for at least.

300 ≤ 2( 3 + x +5).

300≤ 2( 8 +x) .

300≤ 16 + 2x

On subtracting both sides by 16.

300 -16 ≤ 2x .

284 ≤ 2x.

On dividing both sides by 2.

142≤ x.

We can say x is at least 142.

Therefore, 142≤ x.