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3 years ago

What point lies on the line described by the equation below? Y+3=2 (x-1

Mathematics

1 answer:

Inessa [10]3 years ago

3 0

Answer:

$\boxed{(1, -3)}$

Step-by-step explanation:

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

Put equation in slope-intercept form.

$y=mx+b$

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

$y=2x-2-3$

$y=2x-5$

Let x = 1

$y=2(1)-5$

$y=2-5$

$y=-3$

The point (1, -3) lies on the line.

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A plane traveled 1794 miles to Bangkok and back. The trip there was with the wind. It took 13 hours. The trip back was into the

Burka [1]

Answer:

The speed of wind is 30 miles/hour

Speed of plane in still air is 108 miles /hour

Step-by-step explanation:

Distance traveled by plane to Bangkok = 1794 miles

The trip there was with the wind. Time taken = 13 hours.

The trip back was into the wind. The trip back took 26 hours.

Let s = plane speed in still air

let w = speed of the wind

(s+w) = speed of plane with wind

(s-w) = speed of plane against wind

Distance = Speed * Time

When the trip was with the wind .

⇒ $1794 =(s+w)\times13$

⇒ $\frac{1794}{13}=s+w$

⇒ $138=s+w$ ---1

When The trip back was into the wind.

⇒ $1794 =(s-w)\times23$

⇒ $\frac{1794}{23}=s-w$

⇒ $78=s-w$ ---2

Add 1 and 2

⇒s+w+s-w =138+78

⇒2s =216

⇒ $s=\frac{216}{2}$

⇒ $s=108$

To find w substitute the value of s in 1

⇒ $138=108+w$

⇒ $138-108=w$

⇒ $30=w$

Thus the speed of wind is 30 miles/hour

Speed of plane in still air is 108 miles /hour

4 0

3 years ago

Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors,

Natasha_Volkova [10]

Step-by-step explanation:

So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are

3 * 2 * 2 possible combinations

For example:

S = 3 sizes

F = 2 flavours

T = 2 toppings

Then there are 3 * 2 * 2 = 12 possible combinations

6 0

3 years ago

An item is regularly priced at $93. Donna bought it at a discount of 45% off the regular price.

Tanya [424]

Answer:

The answer is $51.15.

Step-by-step explanation:

0u fit itsitsogdoyxogdyf8txyxogx

5 0

3 years ago

Read 2 more answers

Lee Company has a current ratio of 2.65. The acid test ratio is 2.01. The current liabilities of Lee are $45,000. Assuming there

Salsk061 [2.6K]

The dollar amount of merchandise inventory is A. $28,800
Let N = be the missing number
1.) N/$45,000 = 2.65/1 (cross multiply to get the current assets)
N = $119,250
2.) N/$45,000 = 2.01 (cross multiply to get current the quick assets)
N = $90,450
3.) Since there are no prepaid expenses, subtract current quick assets from the current assets to get the merchandise inventory
$119,250 - $90,450 = $28,800

8 0

3 years ago

Y = 2x + 5<br> Whats the answer for this? Whats the missing value <br> (2,__)

Anna35 [415]

Answer:

(-5/2, 5)

Step-by-step explanation:

Apply x-y intercepts theorem

(x,y)=(0,y) and (x,0).

then substitutes.

5 0

3 years ago