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
lapo4ka [179]
1 year ago
10

Use the scale of 1cm=45 km

Mathematics
1 answer:
alex41 [277]1 year ago
3 0

Answer:

d = 7.4 cm is the distance between the two cities on the map.

Step-by-step explanation:

Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.

Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:

1 cm/45 km = d/D

Substituting, we get:

1 cm/45 km = d/333 km

d/333 km = 1 cm/45 km

(d/333 km)(333 km) = (1 cm/45 km)(333 km)

d = (333 km/45 km)(1 cm)

d = 7.4 cm is the distance between the two cities on the map.

Check:

1 cm/45 cm = d/333 km

1 cm/45 cm = 7.4 cm/333 km

1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained

You might be interested in
Fill in the missing numbers<br>I need an answer ASAP<br><br>​
mamaluj [8]

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, \frac{1}{2} \times 30 =  \frac{1}{4} \times x\\\\15 =    \frac{1}{4} \times x\\\\x = 60

b.

\frac{1}{3} \times 12 =  \frac{2}{3} \times x\\\\4 =    \frac{2}{3} \times x\\\\x = 6

Hence, the missing numbers be 60 and 6 respectively

4 0
3 years ago
A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,
Phoenix [80]

9514 1404 393

Answer:

  $48,000 to start, with 6% raises

Step-by-step explanation:

The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.

The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...

  S = s((1+r)^6 -1)/r

Here are the total earnings, in thousands, for each of the offers:

  a) s = 49, r = .03, S = 316.95

  b) s = 51, r = .01, S = 313.75

  c) s = 48, r = .06, S = 334.82 . . . . best offer

  d) s = 50, r = .02, S = 315.41

The worker can earn the most from a starting salary of $48,000 and 6% increases each year.

7 0
2 years ago
Read 2 more answers
Biologists are keeping track of the different kinds of fish in Lake Michigan. Identify the type of data.
Cerrena [4.2K]
D. Categorical data :)
7 0
3 years ago
Read 2 more answers
the price of a pair of shoes increases from $50 to $64. What is the percent increase. Please Help, god bless
Vera_Pavlovna [14]

Answer:

Step 1: Calculate the change by subtracting old cost ($50) from the new cost ($64)

Step 2: Divide that change by the old cost ($50).  You will get a decimal number

Step 3: Convert the decimal number to a percentage by multiplying by 100%

Step-by-step explanation:

Try this first

3 0
2 years ago
The floor of an elevator in a building is 30.33 feet above ground level. It then travels down to the lower level of the building
Ivan
The traveled distance is 40.819 feet (downward)
3 0
2 years ago
Other questions:
  • 12=p-25 what is the value of p? Pls help
    14·1 answer
  • The base of a rectangular prism has a length of 13 inches and a width of 1over2. The volume of the prism is less than 65 cubic i
    8·1 answer
  • What is the value of the function y= 3x – 1 when x= -1 ?<br> -8<br> -4<br> 02<br> 6
    6·1 answer
  • At a certain university the student to teacher ratio is 16:1 there are 2,00 students enrolled how many teachers have to be emplo
    13·1 answer
  • Simplify . need help
    15·2 answers
  • A customer at the mall is shopping for holiday gifts, and is considering having them wrapped. He can get them wrapped at the dep
    8·1 answer
  • Only answer if you actually know the answer and know what your doing. thx:)
    11·1 answer
  • 5
    8·1 answer
  • SOMEONE PLS HELP ME ASAP PLSPLSpslpls omggg pls
    5·1 answer
  • Katie bought 2 soda at the baseball game if each soda cost $2.80 and she paid with a twenty dollar bill how much change should s
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!