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Marina CMI [18]
3 years ago
15

What is the HCF and LCM of 84 and 210​

Mathematics
2 answers:
lesantik [10]3 years ago
7 0

Answer:

Step-by-step explanation:

The attached file contains the solution

gayaneshka [121]3 years ago
6 0

Answer:

its 42

Step-by-step explanation:

i took it edg

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25pts for correct answer with explanation Find the value of x when 2(x - 3) + 1 = 3x + 4
trapecia [35]
The answer is A) -1.
3 0
3 years ago
What is 243=m+108.27?
KATRIN_1 [288]

Answer:

134.73

Step-by-step explanation:

Solving for m:

243 = m + 108.27

243 - 108.27 = m + 108.27 - 108.27

134.73 = m

7 0
3 years ago
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Does it matter what order you add the numbers in a problem? explain how chips and numbers lines support your answer.
Mrac [35]

Answer: No, it does not matter.

Step-by-step explanation:

In addition the order does not matter, this is because of the commutative property of the addition, that says that: A + B = B + A

and the associative property, that says that:

A + (B + C) = (A + B) + C

for example, if you have 4 chips and your friend gives you her 5 chips, now you have a total of 4 + 5 =  9 chips.

The case is the same if you have 5 chips and your friend gives you 4 chips, now you have 5 + 4 = 9 chips.

Other example is that:

5 chips + ( 2chips + 1 chip) = 5 chips + 3 chips = 8 chips

(5 chips + 2 chips) + 1 chip = 7 chips + 1 chip = 8 chips

You can see that the order does not matter.

4 0
3 years ago
Instructions: Enter your responses as percentages. Include a minus (-) sign for all negative answers. a. The price of good X dec
zalisa [80]

Answer:

COMPLETE QUESTION:

Suppose the own price elasticity of demand for good X is -3, its income elasticity is 1, its advertising elasticity is 2, and the cross-price elasticity of demand between it and good Y is -4. Determine how much the consumption of this good will change if: Instructions: Enter your answers as percentages. Include a minus (-) sign for all negative answers.

a. The price of good X decreases by 5 percent.

b. The price of good Y increases by 8 percent.

c. Advertising decreases by 4 percent.

d. Income increases by 4 percent.

ANSWER

a) The quantity demanded of good X will change by 15 percent

b) The demand for X will change by -32 percent.

c) The demand for good X will change by -8 percent

d) The demand of good X will change by 4 percent

Step-by-step explanation:

Price elasticity of demand measures how responsive  quantity demanded is to a change in the  price of  a commodity.

price elasticity = \frac{\frac{dQ}{Q} }{\frac{dP}{P} } .    

Note:  Same applies to income,advertising and cross-price elasticity.

where, P is the price of the demanded good and Q is the quantity of the demanded good and dQ and dP are the changes in quantities of demanded goods and prices respectively.

a) Quantity demanded on goods X due to decrease by 5 percent in price is ;

-3 = \frac{\frac{dQ}{Q} }{-5}     , therefore  percentage increase in quantity of goods demanded is  (-3 x -5) = 15 percent

       

b) Cross- Price Elasticity; Quantity demanded on goods X due to increase by 8 percent in price in goods Y is;

-4 = \frac{\frac{dQ}{Q} }{8}   , therefore percentage decrease in quantity of goods demanded is  (-4 x 8) = -32 percent

c)  Advertising Elasticity ; Quantity demanded on goods X due to decrease  by 4 percent in advertising is;

2 = \frac{\frac{dQ}{Q} }{-4}   , therefore percentage decrease in quantity of goods demanded is  (2 x -4) = -8 percent

d) Income Elasticity ; Quantity demanded on goods X due to increase by 4 percent in income is;

1 = \frac{\frac{dQ}{Q} }{4}   , therefore percentage increase in quantity of goods demanded is   (1 x 4) = 4 percent

3 0
3 years ago
Solve the system of equations.
tino4ka555 [31]

<u>Answer:</u>

(2, 7) or (-6, 1)

<u>Step-by-step explanation:</u>

We are given two equations:

y=x+5; and

y = x^2+5x-7

Since y is the subject for both the equations so we can put the values of y equal to each other to get:

x+5=x^2+5x-7

x^2+5x-x-7-5=0

x^2+4x-12=0

Factorizing the expression to get:

x^2-2x+6x-12=0

x(x-2)+6(x-2)=0

(x-2) (x+6) = 0

x=2, x= -6

Putting x = 2 and x = -6 in any of the equations to get the values of y:

y=x+5

y =2+5

y=7

and

y =(-6)+5

y=1

Therefore, solution to these equation is (2, 7) or (-6, 1).

5 0
3 years ago
Read 2 more answers
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