Consider the system of equations. Which is the Best method to use for solving the system? 4x+y=1 2x+y=8

Answer:

y = x - 6

Step-by-step explanation:

The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1.  Thus,

y = mx + b becomes 2 = 1(8) + b, so that b = -6.

The desired equation is y = x - 6.

Check:  Does (8,2) lie on this line?  Is 2 = 8 - 6 true?  YES.

Answer:

Y=X-6

Step-by-step explanation:

JOOOHNNNNN CENNAAAAA

Lets solve each one :

 If she is 9 :

9 times 2 = 18 + 9 = 27

If she is 11 :

11 times 2 = 22 + 11 = 33

If she is 20 :

20 times 2 = 40 + 20 = 60

If she is 10 :

10 times 2 = 20 + 10 = 30

You pick your answer :)

I hope this helped!

Have a great day!!!

The greatest age Raphael's sister can be is 10 years old.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, Raphael is twice as old as his sister is. The sum of their ages is less than 30.

Let the age of Raphael's sister be x,

2x + x = 30

3x = 30

x = 10

Hence, The greatest age Raphael's sister can be is 10 years old.

For more references on equations, click;

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∠AKJ ≅ AIH  because they are corresponding angles

  60° = AIH   by substitution

ΔAIH

∠A + ∠I + ∠H = 180°   per the triangle angle sum theorem

 x  + 60 + 56 = 180    substituted known values

 x +       116     = 180   added like terms

                    x = 64     subtracted 116 from both sides  

Answer: 64°  

Answer:  C looks like the best fit.

Answer:

C

Step-by-step explanation:

A scatterplot best fit line looks as thought the distance of the points above the line are the same as the points below the line in this case. See the comment under d for more.

A

All the points are above the line

B

Only a very few points come close to the line. Left right is more at work here rather than up and down.

C Answer

D

The average of those above the line might be the same as below the line, but the symmetry is a left right symmetry; all the downs are on the left and all the ups are on the right.. They might average out to be 0 but it is not what is meant. The x and y values both have something to do with the answer. D is the second best answer.

Doubling the number of giant solar power calculation plants from 14 to 28 would theoretically power double the number of homes, which is approximately 257,142 homes.

If 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes, we can calculate the number of homes that 28 solar panels can power by first determining the number of homes one plant can supply energy for.

Powering 1.8 million homes with 14 plants means each plant powers 1.8 million / 14 = 128,571 homes approximately.

If we assume a direct scale-up, doubling the number of solar power plants to 28 would theoretically double the number of homes that can be powered, hence 28 plants would power 128,571 homes × 2 = 257,142 homes approximately.

However, the question seems to have a typo because usually power capacity is specified for power plants and not individual solar panels.

So, doubling the number of solar panels, not power plants, wouldn't necessarily mean doubling the total power capacity because individual solar panels have a much smaller capacity than an entire power plant.

Learn more about solar power calculation here:

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Solution

In order to find  greatest to least number, we have to convert the given fractions into decimals.

3 [tex]\frac{1}{10}[/tex] % = 3 + 1/10 = 3 + 0.10 = 3.10%

3 [tex]\frac{2}{5}[/tex]% = 3 + 2/5 = 3 + 0.40 = 3.40%

3 [tex]\frac{1}{4}[/tex] %= 3 + 0.25 = 3.25%

3 [tex]\frac{1}{3}[/tex]% = 3 + 0.33 = 3.33%

Now we can easily, compare the numbers and write from greatest to least.

3.40%, 3.33%, 3.25%, 3.10%

Greatest to least  = 3 2/5%, 3 1/3%3, 3 1/4%,  1/10%,

Thank you :)

Answer:

3 2/5%, 3 1/3%, 3 1/4%, 3 1/10%

Step-by-step explanation:

The probability of drawing a red gumdrop is [tex]\( \frac{2}{5} \)[/tex] and butterscotch candy is [tex]\( \frac{3}{5} \)[/tex]. Combined, it's [tex]\( \frac{6}{25} \)[/tex]. Answer: A.

To find the probability that Craig will draw a red gumdrop and a piece of butterscotch candy, we need to find the probability of each event separately and then multiply them together because the events are independent.

1. Probability of drawing a red gumdrop:

[tex]\[ P(\text{red gumdrop}) = \frac{\text{number of red gumdrops}}{\text{total number of gumdrops}} \][/tex]

[tex]\[ P(\text{red gumdrop}) = \frac{2}{2 + 3} = \frac{2}{5} \][/tex]

2. Probability of drawing a piece of butterscotch candy:

[tex]\[ P(\text{butterscotch candy}) = \frac{\text{number of butterscotch candies}}{\text{total number of candies}} \][/tex]

[tex]\[ P(\text{butterscotch candy}) = \frac{3}{3 + 2} = \frac{3}{5} \][/tex]

Now, multiply the probabilities together:

[tex]\[ P(\text{red gumdrop and butterscotch candy}) = P(\text{red gumdrop}) \times P(\text{butterscotch candy}) \][/tex]

[tex]\[ P(\text{red gumdrop and butterscotch candy}) = \frac{2}{5} \times \frac{3}{5} \][/tex]

[tex]\[ P(\text{red gumdrop and butterscotch candy}) = \frac{6}{25} \][/tex]

So, the probability that Craig will get a red gumdrop and a piece of butterscotch candy is [tex]\(\frac{6}{25}\)[/tex], which corresponds to option A.

The correct question is:

Here are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 3 pieces of butterscotch candy and 2 pieces of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a red gumdrop and a piece of butterscotch candy? The Answer choices are

A. 6/25

B. 1/2

C. 4/25

D. 1/5

Answer:

280 adult tickets, 40 student tickets and 80 children tickets were sold.

Step-by-step explanation:

To solve this problem let's call:

x = number of tickets for adults

y = number of tickets for students

z = number of tickets for children

The income for the concert is $ 7840

Then we can raise the following equations according to the given conditions:

[tex]x+y+z = 400[/tex]   (i)

[tex]22x+15y +13.50z = 7840[/tex] (ii)

 There are 40 more children in the concert than students:

So:

[tex]z=40+y[/tex]  (iii)

We then have 3 equations and 3 unknowns:

To solve the system we multiply the equation (i) by -22 and add it to the equation (ii)

So:

[tex]-22x-22y-22z=-8800[/tex]

       +

[tex]22x+15y +13.5z =7840 [/tex]

[tex]-7y-8.5z = -960[/tex] (iv)

 Now we multiply (iii) by 7 and add it to (iv)

[tex]7y-7z = -280 [/tex]

   +

[tex]-7y-8.5z = -960[/tex]    

[tex]-15.5z = -1240 [/tex]

[tex]z = 80[/tex] (v)

We substitute (v) in (iv) and we have

[tex]y = 40[/tex] (vi)

We substitute (v) and (vi) into (i) and we have:

[tex]x =280[/tex]

280 adult tickets, 40 student tickets and 80 children tickets were sold.

Quick Answer: Yes

If you reduce both to their lowest terms each becomes 1/2

Divide the numerator and denominator by 7 for the first one

(7 ÷ 7)/(14 ÷ 7) = 1/2

And numerator and denominator by 3 for the second one

(3 ÷ 3)/ (6 ÷ 3) = 1/2

Answer:

$290.50

Step-by-step explanation:

121.04 * 80% = 96.832

121.04 - 96.832 = 24.208

24.208 * 12 = 290.496 ~ 290.50

Hi!

Here is the leaf plot:

6 ║ 5, 6, 7, 8 , 9

7 ║0, 2

Ok so if the agent spend 1,500$ on advertising then thats -1,500 for his wallet eg.

WALLET:

-1,500$

Now if the house sells in 3 months that's 9,000 in wallet but since there is only a 40% chance then we need to work out 40% of 9000 we can do that by doing 9000 x 0.40 which = 3,600 so 3,600 in wallet on average

-1,500

+3,600

now if we combine these we get 2,100 so the answer is on average 2,100

Answer:

B edge

Step-by-step explanation:

10:00 will show trhe corect tiem

He can play 4 rounds. If you find a common denominator, it would end up with 9/12 of an hour to play and then you subtract the 1/12 it took to set it up. this leaves you with 8/12. but, it takes 2/12 of an hour to play each round. so 8 divided by 2 is 4. Which is where the 4 rounds is from!

B)

A= 8.6

B=8.66666...

C=8.25

D=7.33333...

Let the smallest number = x

The next higher number would be x +1

The 3rd number would be x +2

The sum of the 3 numbers: x + x+1 + x+2

33 more than the smallest number is written as x+33

Now you have:

x + x+1 + x+2 = x+33

Simplify the left side:

3x +3 = x +33

Subtract 3 from each side:

3x = x +30

Subtract 1x from each side:

2x = 30

Divide both sides by 2:

X = 30/2

x = 15

The three numbers are 15, 16 and 17

Find the totals of both Angle s A and T by adding the 2 angles in each corner:

Angle A = 58 + 32 = 90 degrees

Angle T =  46 + 44 = 90 degrees.

Becuase both these angles are 90 degrees Lines AM and TH are parallel.

PEMDAS tells us to use multiplication and division before addition and subtraction.

-5(8) ÷ 10 - 14 ÷ 7 - (-2)(3)

-40  ÷ 10 -     2    -   -6

     -4       -    2     + 6    two negatives make a positive so - - 6  = + 6

            -6              +6

                      0

Answer: 0

Answer:

7

Step-by-step explanation:

We know that since 6 ounces creates 6/7 of a serving, that basically says that 1/7 of a serving is created with 1 ounce of pasta. So if there were 7 ounces of pasta, that would make 7/7 servings and that would be 1 serving

Answer:it is isolating one of the variables...

Step-by-step explanation:

Apex

Answer:

isolating the variable

Step-by-step explanation:

2 two-thirds are in four-thirds because 4 divided by 2 is 2

We have two rules in case of rounding off digits,

Rule 1:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

Rule 2:

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

We are given the number 13_,644 which rounds off to 130,000.

Now as we can see the number is rounded down, so we can apply rule number 2 here.

If we place the digit 0, 1, 2, 3 or 4 then the number will round off to 130,000.

Answer: The possible digits that can go in thousands place are 0, 1, 2, 3 or 4.

Hi the answer is:

y = IxI + 6

Answer:

57 days

Step-by-step explanation:

Given that there was a beautiful Japanese garden.

Also given that within the garden, there is a pond.

Since the beginning of summer, lilies have started to cover more and more of it with every passing day.

In fact, the quantity of lilies doubles every day.

By day 58, the entire pond will be covered.

Since given that every day lilies double, we find that if on 58th day it was full, then exactly one day before it should be 1/2 of pond.  In that case only, on 58th day pond can become full.

Hence half pond is filled with lilies in 57 days.

60 degrees?

hope this helps

If the temperature was 80 and it fell to 20 you need to subtract 20 from 80 than giving you the difference in temperature witch is 60 degrees difference.

FINAL ANSWER 60 Degrees Difference.

Hope that helps

Daniel

it is an odd number. it is also a prime number . ie only divisible by one and  itself.

Jenny's total earnings:

total earnings = (hours worked on design)*40 + (hours worked on maintenance)*35

average earnings = total earnings / hours worked

So far she has

total earnings = 18*40 + 20*35 = $1420

which is an average per hour = $1420/38hr = $37.37

How many more hours on webdesign: x

so that

($1420+x*$40)/(38+x)=38

Now solve for x - this I let you do. My results is x=12 (you can verify by plugging it iback into the equation).

The answer is Jenny needs to work 12 more hours to claim an average earnings of $38/hr. Lmk if you have questions.