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3 years ago

Tara walks 2 miles in 30 minutes At this rate,how far can Tara walk in 45 minutes?

Mathematics

1 answer:

nevsk [136]3 years ago

5 0

Answer:

Step-by-step explanation:

In 30 minutes she can walk 2 miles. We'll put that as a ratio. 30:2. Now to figure out how much she walks in 45 minutes, we set variable to x and make it stand for how much she walks. We have 30:2 = 45:x We cross multiply to get 30x=90, x=3. Tara can walk 3 miles in 45 minutes.

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Answer:

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g(x) = |x-3| -4

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3 years ago

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2 years ago

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

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The slope of the line is the coefficient of x

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The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

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Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

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3 years ago

A triangular prism is shown below. the base of the prism is a right triangle.

Nimfa-mama [501]

The product is 60.

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We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

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4 years ago

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alexandr402 [8]

Answer:

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Step-by-step explanation:

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3 years ago

Tara walks 2 miles in 30 minutes At this rate,how far can Tara walk in 45 minutes?​

Tara walks 2 miles in 30 minutes At this rate,how far can Tara walk in 45 minutes?