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3 years ago

5

after working together for T hours on a common task, two workers have completed fractional parts of the job equal to T/4 and T/6

. What fractional part of the task has been completed?

1 answer:

Andru [333]3 years ago

7 0

Adding the two fractions, we get:
$\frac{T}{4}+\frac{T}{6}=\frac{3T+2T}{12}=\frac{5}{12}T$
Therefore (5/12)T of the job has been completed.

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A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec

lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

(x - 12)(3x - 12) = 7000

After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

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1 year ago

In a science experiment,the temperature decreased by 0.1 degree Celsius every 15 minutes. Find the unit rate

maksim [4K]

0.1 decrease in 15 minutes
unit rate is 0.1 / 15 = 0.00667
Temperature is decreasing by 0.00667 degrees Celsius per minute

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2 years ago

Calculate the area of the triangle with the following vertices (3, -7), (6, 4), (-2, -3)

Monica [59]

Answer:

$\boxed{\mathsf{A} \triangle = \red{\dfrac{67}{2}u.a}}$

Step-by-step explanation:

Let's follow up with the solution. Considering a triangle with the vertices $\mathsf{A(x_A, y_A)}$ , $\mathsf{B(x_B, y_B)}$ and $\mathsf{C(x_C, y_C)}$ , have a look at the representation in the cartesian plan.

From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

$\mathsf{A} \triangle = \dfrac{\left| \begin{array}{ccc} \mathsf{x_A} & \mathsf{y_A }& 1 \\ \mathsf{x_B} & \mathsf{ y_B} & 1 \\ \mathsf{ x_C} & \mathsf{ y_C} & 1 \end{array} \right|}{2}$

So, applying this knowledge we're going to have,

$\mathsf{A} \triangle = \dfrac{\left| \begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2 & -3 & 1 \end{array} \right|}{2}$

$\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]$

$\mathsf{A} \triangle = \dfrac{12 + 14 - 18 - (-8 - 9 - 42)}{2}$

$\red{\mathsf{A} \triangle = \dfrac{67}{2} = 33,5u.a}$

Hope you enjoy it, see ya!)

$\green{\mathsf{FROM}}:$ Mozambique, Maputo – Matola City – T-3

DavidJunior17

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3 years ago

Julie’s mom paid $2.70 for 5 pounds of bananas at Supermart. Mario’s mom paid $2.60 for 4 pounds of Bananas at Market One. Write

serg [7]

Answer: (Supermart) Equation 1 = $2.70÷5 lb = $0.54 per lb

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Since the unit price of bananas per lb in Supermart is less than the unit price of bananas per lb in Market One, Supermart has the better price.

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2 years ago

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Setler79 [48]

Answer:

$26\sqrt{3}$

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

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3 years ago