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3 years ago

City A is 25% less than population of city B so city A's population is what % of city B

Mathematics

1 answer:

omeli [17]3 years ago

7 0

Answer:

75%

Step-by-step explanation:

we have

A ----> population of the city A

B ----> population of the city B

we know that

25% of B is equal to

$(25/100)B=0.25B$

$A=B-0.25B$

$A=0.75B$

$0.75*100=75\%$

That means ----> population of city A is 75% of population city B

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What is 5x83 mentally using distributive property

Brilliant_brown [7]

Answer:

415

Step-by-step explanation:

5 0

3 years ago

Calculate Income Elasticity of Demand Question Suppose that when the price of cream cheese rises by 10%, the quantity of bagels

inn [45]

Answer:

eY is positive +0.1 therefore bagels are a normal good.

Step-by-step explanation:

Given data:

when, 10% rise in cheese price, 3% fall in bagels quantity observed

when, 10% rise in income, 1% fall in bagels quantity observed

from formula for cross price elasticity of demand, determine $e_{AB}$

$e_{AB} = \frac{(−3\%}{(10\%)} = −0.3.$

As, eAB is negative, bagels $ cream cheese are complements.

By formula for income elasticity of demand,

we find that $eY= \frac{(+1\%)}{(10\%)} = +0.1.$

Since eYis positive, bagels are a normal good.

4 0

4 years ago

A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0

3 years ago

Mias dog weighs 32.6 pounds. Letties dog weighs 3.8 times as much as Mias you. What does Letties dog weigh in pounds?

Whitepunk [10]

Hello!

We are given the weight of Mia's dog and told to find the weight of Lettie's dog based on the known relationship. Using these given values, we can create the following equation (let "w" represent the total weight of Lettie's dog):

w = 32.6(3.8)

Simplify the right side of the equation:

w = 123.88

We have now proven that Lettie's dog weighs 123.88 lbs.

I hope this helps!

6 0

3 years ago

Read 2 more answers

Solve for x<br> Please help

Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

4. By Pythagorean theorem, x^2=81-36=25, x=5

5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4 $\sqrt{2}$ . (the ratio is 1:1: $\sqrt{2}$ by Pythagorean theorem)