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MAXImum [283]
3 years ago
14

On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0

Answer:

The actual distance between the historical markers is 18 miles.

Step-by-step explanation:

Given : On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.  

To find : What is the actual distance between the historical markers?

Solution :

We have given that,

2.5 inches represents 10 miles.

i.e, 1 inch represent \frac{10}{2.5} miles.

1 inch = 4 miles.

Now, The distance between two historical markers is 4.5 inches.

The actual distance between the historical markers in 4.5 inch is

4.5 \text{ inch}=4.5\times 4\text{ miles}

4.5 \text{ inch}=18\text{ miles}

Therefore, The actual distance between the historical markers is 18 miles.

horsena [70]3 years ago
4 0
2.5 inches represents 10 miles.
Then 1 inch represents:
10 : 2.5 = 4 miles.
4.5   x  4  = 18 miles
Answer: The actual distance between the historical markers is 18 miles.
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The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
Gennadij [26K]

Answer:

224 pages total

Step-by-step explanation:

To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.

7 0
3 years ago
The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2
Darina [25.2K]

Answer:

a) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 0 are x_{1}\approx -0.25 and x_{2} \approx 1.25.

b) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 2 are x_{1}\approx -0.5 and x_{2} \approx 1.5

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial y = 4\cdot x^{2}-4\cdot x -1, where x is related to the horizontal axis of the Cartesian plane, whereas y is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) 4\cdot x^{2}-4\cdot x -1 = 0

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.25, x_{2} \approx 1.25

b) 4\cdot x^{2}-4\cdot x -1 = 2

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.5, x_{2} \approx 1.5

5 0
3 years ago
ABC ~ ADE AC = 4, AE = 7, AD = 10, what is the length of AB? 1 3/7 2 1/2 5 5/7 17 1/2
Butoxors [25]

If the polygon or the figures are similar then it is known that the ratios of their corresponding sides and angles are proportional. In this item we can derive an equation that is,

<span>                        AC/AE = AD/AB</span>

Substituting the known values,

<span>                      4/7 = 10/AB</span>

<span>AB from the equation is equal to 70/4 or equal to 17 ½. </span>

3 0
3 years ago
Read 2 more answers
Solve:
Misha Larkins [42]

Answer:

convert 3 1/3 to an improper fraction

3*3 = 9

9+1 = 10

10/3

multiply the numerator by 4

(10/3) * 4 = 40/3

40/3 = 13 1/3

5 0
3 years ago
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Solving quadratic equation using the completing method.<br>(a).x^2+6x+1=0​
irina1246 [14]

Answer:

x = -3 + 2\sqrt2  \ , \ x = -3 - 2\sqrt2

Step-by-step explanation:

x² + 6x + 1 = 0

a = 1 , b = 6 , c = 1

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-6 \pm \sqrt{36-4}}{2}\\\\x=\frac{-6 \pm \sqrt{32}}{2}\\\\x= \frac{-6 \pm \sqrt{16 \times 2}}{2}\\\\x = \frac{-6 +4\sqrt2 }{2}\\\\x = -3 + 2\sqrt2  \ , \ x = -3 - 2\sqrt2

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3 years ago
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