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Crank
2 years ago
8

2x+3y=1, -x+2y=-4 solve using substitution method

Mathematics
1 answer:
ollegr [7]2 years ago
8 0

Step-by-step explanation:

1) 2x+3y-3y=1-3y. -x+2y= -4

2x/2=1-3y/2. -(1-3y/2)=-4

x=1-3y/2. -1+3y/2= -4

x=1-3(-2)/2 3y/2= -4+1

x=1+6/2 3y/2×2/3= -3×2/3

x=7/2 y= -2

S.s{ 7/3,-2}

2). -4x-6y+6y=7-6y. 4x+y= -2

-4x/-4=7-6y/-4. 4(-7-6y/4)+y= -2

x= -7-6y/4. -7-6y+y = -2

x= -7-6/4 -5y/5= 5/5

x=-13/4 y= 1

S.s { -13/4, 1 }

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Andreyy89

Answer:

option a

Step-by-step explanation:

in figure 1: 4n+8 = 4×1=4+8=12

figure 2:4n+8 =4×2=8+8=16 and so on

8 0
3 years ago
If the results of the survey were claimed to indicate that of adults in this country who own digital cameras plan to replace the
loris [4]

Answer: Inferential.

It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population.

If the results of a survey were claimed to indicate that 7.8% of adults in this country who own digital cameras plan to replace their cameras in the next 12 months. would you say this statement is descriptive or inferential, why?

Step-by-step explanation:

It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population. this claim requires an inference to the population. For example, you might stand in a mall and ask a sample of 200 people if they like shopping at ShopRite. You could make a bar chart of yes or no answers (that would be descriptive statistics) or you could use your research (and inferential statistics) to reason that around 50-75% of the population (all shoppers in malls) like shopping at ShopRite.

8 0
3 years ago
Lara surveyed all of the 11th grade students at her school about the number of languages they speak and whether or not they have
Bingel [31]

Answer:

57.6% have allergies

42.4% have no allergies

Step-by-step explanation:

We only need to consider the students who speak two languages according to the question.

To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).

19/33 = 0.5757 = 57.6%

To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).

14/33 = 0.4242 = 42.4%

Check your work by adding the percentages to make sure they equal 100%

57.6 + 42.4 = 100

6 0
2 years ago
Following three questions refer to the information below. A coal-fired power plant produces and sells 10,000 MW electricity whil
natita [175]

Answer: Heat rejected=150000MW

Heat rate= 2.5

Step-by-step explanation:

Thermal efficiency is defined as work out divided by heat in.

Therefore

thermal efficiency = 40/100= 100000 MW/Heat in

Heat in = 250000MW

For a closed system undergoing a cycle the change in internal energy is zero. Therefore the work out of the system is equal to the net heat transfer of the system. Therefore

Work out= heat in - heat out

Therefore heat out = heat in - work out

Heat out = 250000 MW - 100000MW = 150000 MW which is the amount of heat rejected

The heat rate is defined as the inverse of the thermal efficiency expressed in kJ/kWh.Therefore

Heat rate = 1/thermal efficiency

Heat rate = 1/0.4 = 2.5 kJ/kWh

4 0
2 years ago
A pair of shoes usually sells for $64. If the shoes are 20% off, and sales tax is 8%, what is the total price of the shoes, incl
harina [27]

Answer:

55.3

Step-by-step explanation:

First, take $64 and multiply it by .2.

You'll get an answer of 12.8, now subtract that from 64 to get 51.2.

Take 51.2 and multiply that by .08.

Add 4.1, (since we are rounding) to 51.2, to end with your answer: $55.30.

3 0
3 years ago
Read 2 more answers
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