MATHEMATICS COLLEGE

In country​ A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,612​, find the number manufactured in country B and the number manufactured in country A.

Answers

Answer 1
Answer: Let x be the number of cars manufactured per day in county A.
Let y be that of cars manufactured per day in county B.

x+y= 39,612
but x= 5y..... equation (1)
So: 5y+y= 39,612
6y= 39,612
y= 6,602 cars
Substitute y= 6,602 in equation (1):
x= 5(6,602)
x= 33,010
So the number manufactured in county A is 33,010 cars and the number manufactured in county B is 6,602 cars.
Answer 2
Answer:

Final answer:

By using proportions and basic arithmetic, we find that country B produces 6602 cars per day and country A produces 33,010 cars per day.

Explanation:

The problem here is based on proportions. Since it is given that country A produces about five times as many cars as country B, if we denote the number of cars produced in country B as 'x', then the number of cars produced in country A would be '5x'.

According to the problem, the total number of cars produced in both countries is 39,612. Hence, we can set up the equation x + 5x = 39612, which simplifies to 6x = 39612. To find the value of 'x', we divide both sides of the equation by 6. The resulting value of 'x' (the number of cars produced in country B) is 6602 cars. Multiply this by 5 to find the number of cars produced in country A, which comes up to 33,010 cars.

Learn more about Proportions here:

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Trapezoid W X Y Z is rotated about point A 180 degrees clockwise to form trapezoid W prime X prime Y prime Z prime. Trapezoid W prime X prime Y prime Z prime is reflected across the line of reflection m to form trapezoid W double-prime X double-prime Y double-prime Z double-prime.Analyze the diagram. What is the composition of transformations that was applied to map WXYZ to W''X''Y''Z''?

The first transformation was a


.



The second transformation was a

Answers

The first transformation was a rotation about point A.

The second transformation was a reflection across line M.

What is a rotation?

In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By critically observing the diagram which illustrates the sequence of transformations, we can logically deduce that the first transformation was a clockwise rotation about point A by 180 degrees.

Furthermore, the second transformation that maps W'X'Y'Z' to W''X''Y''Z'' is a reflection across the line of reflection M.

Read more on transformation here: brainly.com/question/15832612

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Please help!
Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)

Answers

Answer:

-18

Step-by-step explanation:

Follow these steps to get your answer!

Divide 36/9 and multiply -6(7)

25 - 5 + 4 - 42

Subtract 25-5

20 + 4 -42

Add 4 to 20.

24-42

Subtract 42 from 24.

-18

Answer:

-18

Step-by-step explanation:

start with the figure in brackets. 6(7)=42

then do division. 36/9=4

our expression now is 25-5+4-42

addition first 25+4=29

finish with subtraction. 29-5-42=-18

answer=-18

What is 785 divided by 345 i need some help

Answers

Answer:

2.3

Step-by-step explanation:

Divide 785 by 345 and round it to the nearest tenth.

Solve the inequality of 6(x-7)>-6

Answers

Answer:

x> 6

Step-by-step explanation:

6(x-7)>-6

Divide by 6

6(x-7)/6>-6/6

x-7 > -1

Add 7 to each side

x-7+7 > -1+7

x> 6

Answer:

6

Step-by-step explanation:

6 (x-7)>-6

6x - 42 >-6

6x >-6 +42

6x>36

x>36:6

x>6

Identifying a Proportional Relationship in a TableWhich takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84

Help plsAccording to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?

Answers

Answer:

7.8125 grams

Step-by-step explanation:

As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.

Therefore, each box of cookies contains (16 × 4) = 64 cookies.

If a box of cookies weighs  kg i.e. 500 gram, then the weight of each cookies will be  grams. (Answer)
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