MATHEMATICS MIDDLE SCHOOL

The two cities Midway and Union are 40 km from each other. How far apart would the cities be on a map that has ascale of 1 cm:10 km?
4 cm
4 km
400 cm
400 km

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  (a)  4 cm

Step-by-step explanation:

Multiplying the given map scale by 4 gives ...

  4 cm : 40 km

This tells us the map distance 4 cm corresponds to a ground distance of 40 km.

Related Questions

Recently a small college had an enrollment of 1342 students and 215 faculty. What was the student-Faculty ratio for this college? Write your answer as both a mixed number in the simplest form and a decimal rounded to the nearest hundredth.
The number of pages that Allen, Kevin, Roneisha, and Ben can read in a day is shown below. Allen read 15% of his 56-page book. Kevin read 12% of his 64-page book. Roneisha read 16% of his 42-page book. Ben read 10% of his 72-page book. Who can read the greatest number of pages in a day?
How do you solve 9(2x --8) =5x-7 ?
What is the value of n in n-2 1/4=1 1/6
If u add 5 to me and then divide by 9,u get 3. What number amI?

Steve uses 8/9 gallon of paint to paint 4 identical bird houses. How many gallons of paint does he use for each birdhouse?

Answers

Answer:

0.22 gallons of paint steve uses for each birdhouse .

Step-by-step explanation:

As given

Steve\ uses\ (8)/(9)\ gallon\ of\ paint\ to\ paint\ 4\ identical\ bird\ houses.

Paint\ used\ for\ each\ birdhouse = (Total\ Paint\ uses)/(Number\ of\ birdhouse)

Paint\ used\ for\ each\ birdhouse = ((8)/(9))/(4)

Paint\ used\ for\ each\ birdhouse =(8)/(9* 4)

Paint\ used\ for\ each\ birdhouse =(2)/(9)

                                                              = 0.22 gallons

Therefore the 0.22 gallons of paint steve uses for each birdhouse .
2/9 of a gallon of paint is used per bird house.

The bookstore has 6 shelves of books about animals there are 30 books on each shelf how many books animals does the bookstore have? Shade squares to make a diagram to show how you
can use the Distributive Property to find the number of
books about animals in the bookstore.

Answers

6(30)
180 books all together

Final answer:

The bookstore has 180 animal books in total, as determined by using the Distributive Property of multiplication to multiply the number of shelves (6) by the number of books on each shelf (30).

Explanation:

The question is asking us to use the Distributive Property to determine the total number of animal books in the bookstore. We know that there are 6 shelves and each shelf contains 30 animal books. By the Distributive Property, we can multiply the number of shelves by the number of books on each shelf to determine the total number of books.

Therefore, the calculation is 6 (shelves) * 30 (books on each shelf). This equals 180.

So, the bookstore has 180 animal books in total. This method is a simple application of the Distributive Property where we distribute the multiplication across the items in the question (shelves and books).

Learn more about Distributive Property here:

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School is cancelled if there is at least 8 inches of snow at 5am. If there are three inches of snow at 8 pm the night before and snow is predicted to fall at a rate of 0.75 inches per hour when will thee be at least 8 inches if snow

Answers

12 pm, because if you divide 5 by .75 you get a rounded answer of 7 and 5+7 = 12

What is the surface area of the figure? A.
428 ft2

B.
560 ft2

C.
632 ft2

D.
888 ft2

Answers

We have 8 sides to calculate, it will be hard to explain which side I'm calculating without marking on the picture. 

We will start with the front facing side. We can break this up into an 8ft x 8ft square, and a 14ft x 6ft rectangle. The area equals: 
8ft x 8ft + 14ft x 6ft = 148ft^2

The front facing is the same area as is back facing counterpart so we can multiply the surface area by 2:
148ft^2 x 2 = 296f^2

Adding the bottom surface area 6ft x 14ft:
6ft x 14ft + 296ft^2 = 380ft^2

Adding the right side 6ft x 14ft:
6ft x 14ft + 380ft^2 = 464ft^2

Adding the left side 8ft x 6ft:
8ft x 6ft + 464ft^2 = 512ft^2

Adding the 3 sides on the top 8ft x 6ft (top facing), 6ft x 6ft (top facing), and 6ft x 6ft (left facing):
8ft x 6ft + 512ft^2 = 560ft^2
6ft x 6ft + 560ft^2 = 596ft^2
6ft x 6ft + 596ft^2 = 632ft^2

Therefore the answer is C, 632 ft^2.

Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and Prisms B and C have equal volume. What is the volume of each prism?

Answers

Answer:  The volume of Prism A is 74 cubic feet, volume of Prism B is 222 cubic feet and the volume of Prism C is 222 cubic feet.

Step-by-step explanation:  Given that three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B and Prisms B and C have equal volume.

We are to find the volume of each of the three prisms.

Let, a, b and c represent the volumes of Prism A, Prism B and Prism C respectively.

The, according to the given information, we have

a+b+c=518~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\n\na=(1)/(3)b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\n\nb=c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the values of a and c from equations (ii) and (iii) in equation (i), we get

a+b+c=518\n\n\n\Rightarrow (1)/(3)b+b+b=518\n\n\n\Rightarrow (1)/(3)b+2b=518\n\n\n\Rightarrow (b+6b)/(3)=518\n\n\n\Rightarrow 7b=1554\n\n\n\Rightarrow b=(1554)/(7)\n\n\n\Rightarrow b=222.

From equation (iii), we get

b=c=222,

and from equation (ii), we get

a=(1)/(3)*222\n\n\n\Rightarrow a=74.

Thus, the volume of Prism A is 74 cubic feet, volume of Prism B is 222 cubic feet and the volume of Prism C is 222 cubic feet.
  • The volume of Prism A is 74 cubic feet.
  • The volume of Prism B is 222 cubic feet.
  • The volume of Prism C is 222 cubic feet.

Further explanation

Given:

Three rectangular prisms have a combined volume of 518 cubic feet.

  • Prism A has one-third the volume of Prism B, and
  • Prisms B and C have equal volume.

Question:

What is the volume of each prism?

The Process:

Prism A has (1)/(3) the volume of Prism B. From the denominator 3, let us draw a diagram representing the volume of Prisms B and C, then Prism A. Remember, both prisms have the same volume.

Prism B: \boxed{\circ}\boxed{\circ}\boxed{\circ}

Prism C: \boxed{\circ}\boxed{\circ}\boxed{\circ}

Prism A: \boxed{\circ} or 1 of 3 units.

From all the diagrams above, it appears that the total units are 3 + 3 + 1 = 7 units.

Three rectangular prisms have a combined volume of 518 cubic feet. Therefore, we can calculate the volume of one unit diagram.

\boxed{ \ 7 \ unit = 518 \ cubic \ feet \ }

\boxed{ \ 1 \ unit = ? \ cubic \ feet \ }

Then \boxed{ \ 1 \ unit = (518)/(7) \ cubic \ feet \ }

Hence, \boxed{\boxed{ \ 1 \ unit = 74 \ cubic \ feet \ }}

And now, let us calculate the volume of each prism.

The volume of Prism A: 1 \ unit = \boxed{ \ 74 \ cubic \ feet \ }

The volume of Prism B:3 \ unit = 3 * 74 = \boxed{ \ 222 \ cubic \ feet \ }

The volume of Prism C:3 \ unit = 3 * 74 = \boxed{ \ 222 \ cubic \ feet \ }

Learn more

  1. Volume of rectangular prism  brainly.com/question/11613210
  2. What is the side length of each cube?  brainly.com/question/6752459  
  3. Find out the area of a cube  brainly.com/question/12613605#

Keywords: three rectangular prisms, have, a combined volume, 518 cubic feet, Prism A, has one-third, the volume, Prism B, C, equal, what, each prism, units, diagram

What is the reciprocal of 2 3/8

Answers


Hey there! Let me help you!

To find what the reciprocal is, you have to turn a proper fraction upside down. For example, the reciprocal of 2/8 would be 8/2. However, when you have an improper fraction, you must first turn it into an improper fraction. To turn a mixed number into an improper fraction, multiply the denominator by the whole number and add the numerator. The denominator will stay the same. For example, to turn 2 3/8 into an improper fraction, multiply 8 by 2 and add 3. That equals to 19. The denominator will stay the same. So, the improper fraction for 2 3/8 is 19/8. Now, turn 19/8 into a reciprocal. 19/8 as a reciprocal would be 8/19.

Thank you!

The reciprocal of fraction 2(3/8) is 8/19.

We have,

To find the reciprocal of a number, we invert the fraction by swapping the numerator and denominator.

Given the number 2 3/8, we first convert it to an improperfraction:

2 3/8 = (2 * 8 + 3) / 8 = 19/8

To find the reciprocal, we invert the fraction by swapping the numerator and denominator:

Reciprocal = 8/19

Therefore,

The reciprocal of fraction 2(3/8) is 8/19.

Learn more about expressions here:

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