What is the first step in solving the system shows using the elimination method?
{3x-12y=5
{3x-y=9
A. Multiply each term in 3y - x = 9 by 12.
B. Multiply each term in 3y - x = 9 by -12,
C. Rewrite the equations so like variable terms are in the same order.
D. Add the corresponding sides of each equation.

Answers

Answer 1

Answer:

Step-by-step explanation:

I'm not sure what you mean by those steps mean but here is how I would answer using the elimination method:

3x - 12y = 5

minus (each term separately: 3x - 3x, -12y - -y, and 5 - 9)

3x - y = 9

This eliminates the 3x and = -11y = -4

You can then simplify from there and get y = 4/11


Related Questions

Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.
Growth factor Levels
Lighting Low, Medium, High, Very high
Age month, months, months, months, months
Temperature , , ,
She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?

Answers

Answer:

80

Step-by-step explanation:

For these types of counting problems, just multiply all of the levels.

For example, this would be

4 choices

5 choices

4 choices

Multiply 4*5*4, and you get 80.

Total number of ways of combining one level from each of the growth factors is equals to 80.

What is fundamental principle of counting?

" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."

According to the question,

Number of growth factors =3

First growth factor: Lightening

Second growth factor: Age

Third growth factor : Temperature

As per the data given we have,

Number of levels in lightening 'm'= 4

Number of levels in age 'n'= 5

Number of levels in temperature 'p' =4

Substitute the value as per the definition of fundamental principle of counting

Total number of ways = m × n × p

                                     = 4 × 5 × 4

                                     = 80 ways

                                         

Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.

Learn more about fundamental principle of counting here

https://brainly.com/question/23905307

#SPJ2

Screenshot attached please help i need the answer quickly there are 2 problems so please solve all of them

Answers

Answer:

Pink: 48 units sq

Blue: 42 units sq

Step-by-step explanation:

Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.

PINK trapezoid:

h = 8, a = 4, b = 8A = 8(4 + 8)/2 = 48 units squared

BLUE trapezoid:

h = 6, a = 4, b = 10A = 6(4 + 10)/2 = 42 units squared

Hope this helps!

This figure represents a specialty design for a craft template, made of a square and two identical triangles.

What is the area of 4 of these designs?


108 cm²

135 cm²

432 cm²

540 cm²

Answers

Answer:

540 cm²

Step-by-step explanation:

Area of the figure

2 x 1/2 x 9 x 6 + 9 x 954 + 81135 cm²

Area of 4 figures

Area of the figure x 4135 x 4540 cm²
The answer is D - 540 cm2

i need help on this...i dont know how to do this and its due thursday!!!!!

Answers

Answer:

As you can see, −12 is an integer

Step-by-step explanation:

Hope this helps and sry if I'm wrong

Answer: the correct answer my friend is a intengers because intengers could be either positive or negative.

Step-by-step explanation: for example -1, -6, -2, -10, 9 etc could be intengers. Irrational numbers could be root 6  pi also. Whole numbers are just 0, 1, 2, 3 etc. Natural numbers are 1,2,3,4,5,6. so hopefully a is the correct answer

An experiment involves flipping a coin three times.

The following tree diagram shows the possible outcomes for the experiment.


What is the probability of getting exactly 2 tails?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

2⋅2⋅2=8 possible combinations in total.

Step-by-step explanation:

Which of the angles in the figure are supplementary to Ð5?

Answers

Answer:

Option C) Angle 6 and 7 only

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

So here the angle supplementary to Angle 5 would be 6, since adding both would get us 180 degrees. Then there's angle 7 which would also give us 180 degrees when added to angle 5.

Teresa worked for 13 hours each day for 5 days. Then the next day she worked 9 hours. How many hours did Teresa work in all?

Answers

Answer:

74

Step-by-step explanation:

13 x 5 is 65. 65 + 9 is 74.

Answer:

74 Hours

Step-by-step explanation:

Knowing that Teresa worked for 13 hours each day for 5 days meaning

13 * 5 = 65.

Also known that the next day she working 9 hours.

Thus, 65 + 9 = 74

Hence, Teresa work 74 hour in all.

~lenvy~

When using a number line to simplify 175 + (−16), which three choices are correct?A) 175 + (−16) = 159B) 175 + (−16) = 191C) Move 16 units to the left on the number line.D) Move 16 units to the right on the number line.EliminateE) Adding the opposite of a number is the same as subtracting.

Answers

Answer:

B

Step-by-step explanation:

175+(-16) is the same as 175-16, because you can carry the negative. 175-16=159, which is B.

A, C, E.

a is correct because you do not add 16, you subtract it. Keep, change, flip.

c is correct because like I said you are subtracting when adding a negative, or making the value less.

e is correct because when adding a negative to a positive, you are subtracting

ONLY answer if you know what the answer is. If you are not sure DONT FREAKING ANSWER.

Answers

Answer:

13

Step-by-step explanation:

the absolute value is the opposite of its number, for example 6, the opposite of 6 is -6

hope this helps :)

and if it's wrong i am so sorry:(

Answer:

The absolute value of -13 is 13

Step-by-step explanation:

The absolute value of a number is how far it is from 0.

Positive 13 is 13 away from zero, but so is -13

Hope that helps!

Maria tutors history. For each hour that she tutors, she earns 30 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H. Then use this equation to find Maria's earnings after tutoring for 17 hours.

Answers

Answer: 30H = E
Maria's earning after 17 hours will be $510.

Step-by-step explanation: If Maria earns $30 in an hour, you need to use the equation 30xH or 30h to get the earnings, E.

30 dollars x 17 hours = $510

Can someone find F(12).
i really have no idea...
Please and thank you?

Answers

Answer: 909.03

Step-by-step explanation:

We know that the equation is an exponential function, it can be written as y=ab^x

[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]

[tex]\Rightarrow ab^1=11[/tex]

[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]

[tex]\Rightarrow a=\frac{11}{b}[/tex]

a = 11/b, substitute it in equation 1

[tex]100 &=a b^{6.5}[/tex]

[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]

[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]

[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]

[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]

[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]

[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]

[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]

[tex]\Rightarrow {b} = 1.49379[/tex]

a = 11/b

a = 11/(1.49379)

a = 7.36382

Equation: y = (7.36382)(1.49379)^x

Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]

[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]

[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]

[tex]\Rightarrow 909.03[/tex]

Therefore, f(12) = 909.03 for the exponential function

A circular field has a diameter of 50 yards. If a fence needs to be built to go around the field, how many yards of fencing are needed?

157 yards

314 yards

100 yards

1962 yards

Answers

Answer:

A.

Step-by-step explanation:

A fence is needed for the circular field.

Circumference is basically perimeter but for circles.

Knowing this information, we can use the formula for circumference.

C = [tex]\pi[/tex]d

C = (3.14)(50)

C = 157

hope it helps :)

hydrochloric acid solution and
70% hydrochloric acid solution
must be mixed to obtain 20
ounces of 50% hydrochloric acid
solution?

Answers

Answer:        

8 ounces of 20%12 ounces of 70%


Step-by-step explanation:


Let 'x' be the number of ounces of 20% solution'y' be for the 70%

solutionSince the the mix is 50% of 20 ounces then:x + y = 200.20x +

0.70y = 0.50(20)From the 1st equation solve for xx = 20 - ySubstitute it to

the 2nd equation0.2(20-y) + 0.7y = 104 - 0.2y + 0.7y = 100.5y = 10-40.5y =

6y = 12Substitute to x = 20 - yx = 20 - 12x = 8

Brian watches 2 dogs for a week. He has a 126 ounces of dog food. Does Brian have enough food for a week?


Michael eats 10.25 oz / 1 day


Janet eats 7.5 oz / 1 day

Answers

Answer:

Yes

Step-by-step explanation:

10.25 oz x 7 days = 71.75 oz

7.5 oz x 7 days = 52.5 oz

71.75 oz + 52.5 oz = 124.25 oz

124.25 oz < 126 oz

Answer:

yes

Step-by-step explanation:

10.25x7 =71.75

7.5x7=52.5

52.5+71.75=124.25

HELP PLS! I WILL CHOOSE BRAINLIEST!

Answers

Answer:

42

Step-by-step explanation: the reason the answer is 42 because somewhere in the lesson it will show and I did my research on this so it is 42

Please help! simplify the expression:

Answers

-20a-28 I believe is the answer!
You first distribute 7 into -2a-4, which gets -6a-14a-28. You then combine like terms -6a and -14a, to get -20a-28 which you cannot combine anymore!
Hopefully that’s correct :3
The answer is 3 the guy above me shows how to do it

pls answer this for me :)

Answers

Answer:

-9n+7/7

Step-by-step explanation:

 -9n+7

----------

   7

So it would be -9n+7 over 7

answers is -9+7
______
7

HELP DUE IN 5 MIN!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 44

Step-by-step explanation:

3 times 10 is 30

7 times 2 is 14

add it, then boom 44

Answer:

big rectangle

7*10

70

small rectangular

l=10-2

8

b=7-3

4

area=8*4

32

area of shaded

big rectangular - small rectangular

70-32

38

My bro needs help with his math homework:




There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?

Answers

The answer should be 36 it says the answer
it says 36 more small dogs in the question .. so 36

if you meant how many large dogs the answer is 13

(PLS HELP) Choices:
A. PS
B. RP
C. PT
D. TS

Answers

PS if you look at it PS looks just like it but above it

Answer:

The Only possible answer is PT or TP

Step-by-step explanation:

Since Perpendicular lines are lines that cross each other at a 90 Degree angle we need to find a line that falls at a 90 Degree angle to TR

Zoe considers the lunch choices as she looks at the menu. What is the probability that she will choose cheese pizza, apple, milk?

Meal: Cheese Pizza, Cheeseburger, Hotdog, Salad

Side: Banana, Apple, Yogurt

Beverage: Milk, Water, Juice

Answers

Answer:

1/36

Step-by-step explanation:

Meal: 4 choices

Side: 3 choices

Beverage: 3 choices

Total number of possible combinations: 4 × 3 × 3 = 36

The specific combination of cheese pizza, apple, and milk is 1 of the 36 possible choices.

p(cheese pizza, apple, milk) = 1/36

Answer:

e

Step-by-step explanation:

We first have to find out how many outcomes there are in total. That means finding out how many meals, sides, and beverages there are.

Meals: cheese pizza, cheeseburger, hotdog, and salad (4)

Sides: banana, apple, and yogurt (3)

Beverages: milk, water, and juice (3)

4 x 3 x 3 = 36

There are 36 possible outcomes.

We need to find the probability that Zoe will choose cheese pizza, an apple, and milk. Those are three outcomes.

The probability is 3/36.

The fraction 3/36 can be simplified to 1/12.

uh looking at the other answer that one is probs right

either way, hope this helps?

Did I do this right?
If not can you tell me what I did wrong?
And please hurry, I need to get this done

Answers

Answer: I’m sorry I can’t help. There is not a picture attached.

Step-by-step explanation:

WILL CHOOSE BRAINLIEST! If A is (-4,5) and A' is (5,4) what transformation was used?

Answers

Answer:I think it isa 90 degrees clockwise rotation, because theformula for it is (x,y) to (y,-x)

Step-by-step explanation:

You have a coin and a dice. Flipping the coin, you can either get heads or tails facing up. There are 6 numbers on the dice, numbered 1-6. What is the probability of flipping tails and getting the numbers 3 or 4 on the dice?

Answers

Answer:

3 = (50.000%)

4 = (66.667%)

Step-by-step explanation:

3 out of 6 = 3/6

4 out of 6 = 4/6

3/6 in decimal form is 0.5

4/6 in decimal form is 0.6666 (the six repeats forever)

0.5 out of 1 is 50%

0.6666 (the six repeats forever) out of 1 is about 66.667%

0.5 = (50.000%)

0.66667 (rounded) = (66.667%)

Karen just bought 6 bags of 16 cookies each. She already had 9 cookies in a jar. How many cookies does Karen have now?

Answers

Answer:

105 cookies

Step-by-step explanation:

We can model Karen's cookie situation like so:

#TotalCookies = #RecentlyBought + #AlreadyHad

We know that Karen already had 9 cookies in a jar, so it now looks like.

#TotalCookies = #RecentlyBought + 9

The number she recently bought, involves multiplication. So she bought 6 bags of 16 cookies. That's 6 x 16 = 60 + 36 = 96

#TotalCookies = 96 + 9 = 105 cookies

Karen loves cookies!

Answer:

105 cookies

Step-by-step explanation:

Given:-

Total cookies he have already :- 9cookies bought :- 6 bags each of 16 cookies

To find:-

Total no. of cookies he have now

Solution:-

total no. of cookies :- new cookies + old cookies

= 6×16+9

105 cookies

The temperature at 6:00 P.M. was 68°F. This was 5°F lower than the temperature at 3:00 P.M. The temperature at 1:00 P.M. on that day was 3°F higher than the temperature at 3:00 P.M. What was the temperature at 1:00 P.M.?

Answers

76 degrees Fahrenheit
68+5 = 73, 73+3 equals76 degrees

Your answer is 76°F

Write a positive or negative number to represent each change in the high temperature.

1. Tuesday’s high temperature was 4 degrees less than Monday’s high temperature. ?
2. Wednesday’s high temperature was 3.5 degrees less than Tuesday’s high temperature. ?
3. Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature. ?
4. Friday’s high temperature was 2 degrees less than Thursday’s high temperature. ?

Answers

Answer:

1. -4
2. -3.5

3. 6.5

4. -2

Step-by-step explanation:

LESS and MORE are the clues

coach loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of ______


a. center

b. quantity

c. distribution

d. variation

e. correlation

Answers

Answer:

variation?

Step-by-step explanation:

Analisa recorded 83°, 87°, 90°, and 78° as the highest temperatures in her city for the month of October. She calculated a mean of 84.5° and a median of 85° for these temperatures. Which statement would describe the changes in the mean and the median if a temperature of 76° was then added to her list?

Answers

Answer:

it is the third answer

Step-by-step explanation:

I will give brainliest to the first person to answer

Write the inequality for the given situation. In a conference, there is one large 10-seat table and many smaller 4-seat tables. There are enough tables to fit 200 participants. Use t for the number of 4-seat tables in the conference.

Answers

t is less then or equal to 10 equals 100
Other Questions
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