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oee [108]
3 years ago
11

The perimeter of a rectangle is 400 yards what are the dimensions of the rectangle if the length is 40 yards more than the with

the length is how many yards and the width is how many yards
Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0
P = 2(L + W)
P = 400
L = W + 40

400 = 2(W + 40 + W)
400 = 2(2W + 40)
400 = 4W + 80
400 - 80 = 4W
320 = 4W
320/4 = W
80 = W.....so the width (W) = 80 yards

L = W + 40
L = 80 + 40
L = 120...and the length (L) = 120 yards
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jarptica [38.1K]

Both trains travel for 7 time units.

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\dfrac{385}{7}=55

Train B travels 577.5 distance units, so its speed is

\dfrac{577.5}{7}=82.5

Note that the units are not specified, but considering that we're talking about trains, the graph is likely to be showing distance in km (or miles) and time in hours.

Also, the distance traveled by train B is not perfectly aligned with the grid, so I assumed that it was the average between the two ticks of 550 and 605.

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LUCKY_DIMON [66]

Answer:

(3y - 2)(2y - 7)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

Product = 6 × 14 = 84 and sum = - 25

The required factors are - 4 and - 21

Use these factors to split the y- term

6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )

2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term

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8 0
3 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
2 years ago
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
lorasvet [3.4K]

Answers:

  • Domain is (-4, 3]
  • Range is (-5, 5]

=====================================================

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that -4 < x \le 3. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval -4 < x \le 3 then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

--------------------------------------------------

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is -5 < y \le 5. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

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Katyanochek1 [597]

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