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
V125BC [204]
3 years ago
13

The scale on a map is 1 cm : 6.5 mi. The actual distance between Amelia's school and her house is 45 miles. How far apart are th

ey on the map?
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

about 6.9 cm

Step-by-step explanation:

Set up a proportion to solve this problem.

1 cm is to 6.5 miles as x cm is to 45 miles

1/6.5 = x/45           now solve for x by cross multiplying

45 = 6.5x

45/6.5 = x    

  6.923076923 cm = x

You might be interested in
Lupe’s chili recipe makes 12 servings and uses 12 green peppers and 4 red peppers. Drag green peppers and red peppers into the b
Trava [24]
Servings. green peppers. red peppers
12. 12. 4
9. 9. 3
6. 6. 2
3. 3. 1

4x3=12
3×3=9
3×2=6
3×1=3

9 green peppers, 3 red peppers.
6 0
3 years ago
Read 2 more answers
Let g' be the group of real matricies of the form [1 x 0 1]. Is the map that sends x to this matrix an isomorphism?
aliina [53]

Yes. Conceptually, all the matrices in the group have the same structure, except for the variable component x. So, each matrix is identified by its top-right coefficient, since the other three entries remain constant.

However, let's prove in a more formal way that

\phi:\ \mathbb{R} \to G,\quad \phi(x) = \left[\begin{array}{cc}1&x\\0&1\end{array}\right]

is an isomorphism.

First of all, it is injective: suppose x \neq y. Then, you trivially have \phi(x) \neq \phi(y), because they are two different matrices:

\phi(x) = \left[\begin{array}{cc}1&x\\0&1\end{array}\right],\quad \phi(y) = \left[\begin{array}{cc}1&y\\0&1\end{array}\right]

Secondly, it is trivially surjective: the matrix

\phi(x) = \left[\begin{array}{cc}1&x\\0&1\end{array}\right]

is clearly the image of the real number x.

Finally, \phi and its inverse are both homomorphisms: if we consider the usual product between matrices to be the operation for the group G and the real numbers to be an additive group, we have

\phi (x+y) = \left[\begin{array}{cc}1&x+y\\0&1\end{array}\right] = \left[\begin{array}{cc}1&x\\0&1\end{array}\right] \cdot \left[\begin{array}{cc}1&y\\0&1\end{array}\right] = \phi(x) \cdot \phi(y)

8 0
3 years ago
Rewrite the expression 24x - 12 using the distributive property? Find eight equivalent expressions.
belka [17]

Answer:

12(2x-1)

Step-by-step explanation:

3 0
2 years ago
Helpppppppppppppppppppppppppppp
Maurinko [17]

Answer:

You know this because $110x20%=$22.

3 0
2 years ago
Please I really need help with this
ipn [44]
You would do 4-2= 2 then 8/2 =4 .. final answer being 4
4 0
4 years ago
Read 2 more answers
Other questions:
  • X-intercept and y-intercept of 9.3x+4.2y+3.9=0
    10·1 answer
  • In an engine, there are cylinders where the pistons travel up and down. The cylinders fill with a gas the eventually ignites whi
    14·1 answer
  • What is the difference written in scientific notation?
    6·1 answer
  • If N || P and P bisects M then _____ (13)
    7·1 answer
  • Solve the inequality and enter your solution as an inequality comparing the variable to the solution.
    10·1 answer
  • Find equation of straight line which
    15·1 answer
  • Been up all night on this problem is around 2:25 am. Please help me!
    5·2 answers
  • Did I get this right? Please help me
    6·2 answers
  • What is the 4 digit code
    6·1 answer
  • I can’t figure out c)<br> Can someone please help me
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!