1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Citrus2011 [14]
3 years ago
10

on a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the citie

s
Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

The cities are 12.2 miles apart

<u>Step-by-step explanation:</u>

The scale of the map is,

5cm = 10 miles

The distance between the 2 cities in map is 6.2 cm

The actual distance between the 2 cities = (6.2 x 10) / 5

= 62/5

= 12.4

The 2 cities are 12.4 miles apart.

You might be interested in
Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4​
Ira Lisetskai [31]

Answer:

C. 4

Step-by-step explanation:

Use the slope formula y2-y1 / x2-x1

6+2/3-1

8/2

4

So, the answer is C. 4.

4 0
3 years ago
Read 2 more answers
Can you solve the inequality 2(x-3) is less than or equal to 10 without using the distributive property? Explain.
STatiana [176]

Answer:

Yes, without using the distributive property, we get the value for the given expression 2(x - 3)  ≤ 10  as   x ≤ 8

Step-by-step explanation:

Here, the given expression is:

2(x - 3)  ≤ 10

Yes, the given expression can be solved without using the DISTRIBUTIVE Property

Here, consider the given expression:

2(x - 3)  ≤ 10

Now, divide the  inequality by 2 on both sides, we get:

\frac{2(x-3)}{2}  \leq  \frac{10}{2}\\\implies (x - 3)  \leq 5

Now adding (+3) on both the sides, we get:

(x - 3)  ≤ 5    ⇒  (x - 3  + 3 )  ≤ 5 + 3  

or, x ≤ 8

Hence, without using the distributive property, we get the value of x ≤ 8 for the given expression 2(x - 3)  ≤ 10

6 0
3 years ago
Which of the following is not one the three categories of Euclid’s geometric principles?
Nikolay [14]

"Conjeture" is not one of the three categories of Euclid's geometric principles.

Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.

The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.  

Learn more about Euclid in brainly.com/question/1674393

4 0
2 years ago
Solve each equation for the indicated variable 22. 12(m+3x)=18(x-3m);m
mr Goodwill [35]

Answer:

m

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. I
Elden [556K]

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen

6 0
3 years ago
Other questions:
  • What is the solution of |2x| = –4?
    14·1 answer
  • Write the function in slope-intercept form -5x + y = 7
    14·2 answers
  • Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + __ x = __
    5·1 answer
  • { 44-[28+(8+5)]} 2.​
    13·2 answers
  • Given only the information in the diagram, determine if m is parallel to n. If so, name the postulate or theorem used to support
    7·1 answer
  • 19. What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
    5·1 answer
  • Condense the logarithm
    13·1 answer
  • What is 2a + 3x + a + 5x =
    8·1 answer
  • BRAINLIEST TO WHOEVER ANSWERS!!
    15·1 answer
  • What are the dimensions if the poster is enlarged by a factor of 5/2?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!