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3 years ago

On a map, two inches equal 40 miles. If two cities are 115 miles apart, what is the distance between them on the map?

Mathematics

1 answer:

lora16 [44]3 years ago

5 0

If 2 inches equals 40 miles, then 1 inch equals 20 miles.

115 miles/20 miles=5.75

The cities would be 5.75 miles apart on the map.

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Question

Makovka662 [10]

Answer:

(5x – 3)(x - 3)

Step-by-step explanation:

Break the expression into groups

$=\left(5x^2-3x\right)+\left(-15x+9\right)$

Factor out

$=x\left(5x-3\right)-3\left(5x-3\right)$

Factor out common terms

$=\left(5x-3\right)\left(x-3\right)$

Hence, Answer is (5x-3)(x-3)

<u><em>~Lenvy~</em></u>

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2 years ago

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Which point is located at (5, –2)?

Phantasy [73]

<h3>Answer: Point D</h3>

Explanation:

The origin is the center of the grid. This is where the x and y axis meet. The location of this point is (0,0).

Start at the origin and move 5 places to the right. Note how the x coordinate is 5 which tells us how to move left/right. Positive x values mean we go right.

Then we go down 2 spots to arrive at point D. We move down because the y coordinate is negative.

You could also start at (0,0) and go down 2 first, then to the right 5 to also arrive at point D. Convention usually has x going first as (x,y) has x listed first.

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4 years ago

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10 points and<br> easy. please help

olganol [36]

Answer:

The answer is D) No; Y doesn't vary directly with x.

Step-by-step explanation:

It isn't A because:

y=2x:

2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true

It isn't B:

y=5x

5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true

It isn't C:

y=7x

7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true

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3 years ago

Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1

sergiy2304 [10]

Answer:

Required equation $\frac{1}{6.2}=\frac{15}{x}$

The height of statue of liberty is 93 meters.

Step-by-step explanation:

Given : Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters.

To find : Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

Solution :

The model is 15 inches tall.

The scale of the model to the actual statue is 1 inch : 6.2 meters.

Let x be the height in meters of the Statue of Liberty.

According to question, required equation is

$\frac{1}{6.2}=\frac{15}{x}$

Cross multiply,

$x=15\times 6.2$