solve by using distributive property: 12x - 6y = 12 and x = -2y +11

Answers

Answer 1

Answer:

x = [tex]\frac{1}{11}[/tex]; y = [tex]\frac{-60}{11}[/tex]

Step-by-step explanation:

x = -2y + 11 so x + 2y = 11                                                        (1)

12x - 6y = 12 so 6x - y = 6                                                            (2)

(1) - 2(2) ↔ (x + 2y) - 2(6x - y) = 11 - 2(6)

↔ - 11x = - 1

↔ x = [tex]\frac{1}{11}[/tex]

(2) ↔ y = 6x - 6 = 6([tex]\frac{1}{11}[/tex]) - 6 = [tex]\frac{6}{11}[/tex] - 6 = [tex]\frac{-60}{11}[/tex]

Brainliest???


Related Questions

2 A town park has two biking trails. Marsh Trail is 5 miles long, Woodland Trail is
25 miles long. How much longer is Marsh Trail than Woodland Trail?
A. 31
c. 733
D. 2 ²​

Answers

Answer:

By 20 miles

It should be 20, since you are seeing how much apart is from Trail Marsh and Trail Woodland. Subtract 5 from 25, and you get 20

Find an equation for the line with the given properties. Express your answer using either the general form or the slope intercept form of the equation of a line. parallel tot he line x=16; containing the point (-3,3)

Answers

Answer:

Step-by-step explanation:

Identify the center and radius of each.

Answers

Step-by-step explanation:

The general equation of a circle with centre (h,k) and radius r

(x-h)²+(y-k)²=r²

Here, (x+5)²+(y-13)²= 10

=>{x-(-5)}²+(y-13)²=(√10)²

center: ( -5,13)

radius: √10

option C

the center of the circle is at (5, 5). what is the circumference? PLZ HELP!!

Answers

Answer:

Can I know the units to this and what does the (5,5) represent? Like it's a dot on a coordinate plane or something else?

Step-by-step explanation:

help me pls I've been waiting for an hour to get an answer I'm willing to sacrifice my points ...

Deidre goes out for lunch and realizes that she only has $10 with her. If she wants to leave a 20% tip and knows she will have to pay 5% tax on her lunch, what is the most expensive lunch she can order?

Answers

Answer:

I think it's probably 8$ Edit: 7.5$ i did the math wrong

Rashad is paid time-and-a-half for any overtime he works weekly. He worked 10 hours overtime last week and earned $120. What is his regular hourly pay?

Answers

Answer:

$12 hourly

Step-by-step explanation:

120 ÷ 10 = 12

The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 10m by 10m. What will be the area of the​ playgrounds?

Answers

The area is 100m squared because area= length x width so 10x10=100

Answer:200 sq m

Step-by-step explanation: 10 x 10=100 + 10 x 10=100. 100+100=200

Emanuel is planting trees along a new city sidewalk. He plants the same number of trees on each city block. After 3 blocks, he has planted 15 trees. After 5 blocks, he has planted 25 trees. At what rate is Emanuel planting trees?

Answers

Answer:

Every 1 Block he is planting 5 tree's.

Step-by-step explanation:

There are multiple ways you can do it but the easiest I prefer is just to divided The Tree's by the Blocks.

Ex: 6 Blocks is 30 trees, Divide 30 by 6 and you get 5 for every block.

Final answer:

Emanuel is planting trees at a rate of 5 trees per block. This is determined by dividing the total number of trees by the total number of blocks planted.

Explanation:

Emanuel is planting trees at a consistent rate. To find this rate, we can set up a simple ratio.

He planted 15 trees in 3 blocks, which simplifies to 5 trees per block. This can be confirmed by looking at the second part of the problem. After 5 blocks, he had planted 25 trees. If we divide the total number of trees by the total number of blocks (25 trees / 5 blocks), we also get 5 trees per block.

Therefore, the rate at which Emanuel is planting trees is 5 trees per block.

Learn more about Rate of planting trees here:

https://brainly.com/question/31820242

#SPJ2

Evaluate the expression?????

Answers

so the answer is 15.6

Answer: 15.6

Step-by-step explanation:

10. The physician ordered 3.75 mg of Warfarin sodium. Available are Warfarin 7.5 mg scored
tablets. How many tablets will you give?​

Answers

3.75 Because 7.5-3.75 equals that

Which graph represents a linear function?

Answers

Where is the graph? But I guess the one that looks linear?

can someone pls help me I will mark brainlist if correct !! :)

Answers

320 cubic inches

128 cubic inches

448 cubic inches

Step-by-step explanation:

Step 1:

Given,

Dimensions of the first rectangular prism = l * b * h = 16*5*4

[length is 16 as the total length is 20 and the width of the 2nd prism till the dotted line is 4]

Dimensions of the second rectangular prism = l * b * h = 4*4*8

We need to determine  volume of the 2 prisms and the whole figure. The volume of  rectangular prism can be obtained by multiplying the length breadth and the height.

Step 2:

Volume of the first prism = l * b * h = 16*5*4 = 320 cubic inches

Volume of the first prism = l * b * h = 4*4*8 = 128 cubic inches

The volume of the whole figure is the sum of the 2 rectangular prisms = 320 + 128 = 448 cubic inches

Choose the constant that could be multiplied by each equation to create a system of equivalent equations with opposite terms.

2x + 3y = 1
5x + 2y = 8

The first equation can be multiplied by 5 and the second equation by 2.
The first equation can be multiplied by –5 and the second equation by –2.
The first equation can be multiplied by –5 and the second equation by 2.

Answers

Answer:

I think it's the third one. Because it will make both equation's x a opposite value (one is positive and one is negative).

Step-by-step explanation:

Because 2x+3y=1*5= 10x+15y=5 and then 5x+2y=8*-2 = -10x+4y=-16 both equations will cancel the Xs out and then you can solve for Y.

Answer:

The 3rd one

Step-by-step explanation:

Q! and Q2 A fair six-sided dice has five red faces and one grey painted face. The spinner is spun. If the spinner shows an even number, the dice is thrown.
Work out the probability of getting an even number and the colour grey.

0.4

0.215

0.185

0.066


2) .A is (2, 12) and B is (8, 2). What is the midpoint AB?

(3, 5)

(5, 7)

(4, 6)

(6, 10)

Answers

We can't answer the first question, because we know nothing about the spinner (looks like some information is missing).

As for the second question, the coordinates of the midpoint are simply the average of the coordinates of the endpoint, so if we let [tex]M[/tex] be the midpoint of [tex]A[/tex] and [tex]B[/tex], we have

[tex]M=\left(\dfrac{A_x+B_x}{2},\dfrac{A_y+B_y}{2}\right)[/tex]

Plugging in the numbers, we have

[tex]M=\left(\dfrac{2+8}{2},\dfrac{12+2}{2}\right)=(5, 7)[/tex]

what number will make 3/4 x 7/8 = 7/8 x true?

Answers

Answer:

3/4

Step-by-step explanation:you divide both sides by 7/8, so x=3/4.

Answer:

3/4

Step-by-step explanation:

Given

3/4 x 7/8

Multiply through

21/32

Divide by 7

3/4

a scientist measured the amount of rain fall during the afternoon it rained 0.43 inch each hour what was the total amount of rain fall in 3 hours


Answers

Answer:

1.29 in

Step-by-step explanation:


KNOWLEDGE CHECK!!!ALEKKSSSS

Answers

Answer:

2,5

Step-by-step explanation:

Add three

What is the area of the rectagle 12 ft 4 ft

Answers

12x4=48
Final answer is 48 ft square

12 times 4 equals 48ft

a number decreased by 7 is less than 4

Answers

Answer:

one example is 10

Step-by-step explanation:

10 - 7 = 3

3 < 4

Answer:

I believe it can be any number above 4

Step-by-step explanation:

because any number above 4 minus 7 is a number under 4

I need the answer quick

Answers

-1 1/3 -> -1.3

Decimal Form: −1.3

Convert the fraction to a decimal by dividing the numerator by the denominator.

1/6 -> 0.16

Decimal Form: 0.16

Solve for x in the diagram below

Answers

Answer:

[tex]x=6^o[/tex]

Step-by-step explanation:

we know that

[tex]5x^o+(x+54)^o=90^o[/tex] -----> by complementary angles

solve for x

[tex]6x=90-54\\6x=36\\x=6^o[/tex]

Which of the following statements is true? The value π is a rational number. The number 0 is a natural number. The number is an integer. The number -5 is a real number.?

Answers

Answer:

Actually, the other answer the other person put was incorrect.

Step-by-step explanation:

The reason for this being that the correct answer is actually "-5 is a real number". Most all numbers are real numbers, if you haven't gotten into complex numbers yet

Hope this helps even if it's really late, just know that the other answer somebody else put is incorrect.

Answer:

The number -5 is a real number.

Step-by-step explanation:

If the side of square is 1/5 inches. Then what is the area of the square?​

Answers

Answer:

1/25

Step-by-step explanation:

1/5*1/5=1/25

because lenght times width equals area

3-2y+(-8y)+8.5

Simplify your answer. Use interfere or decimals for any number expressions

Answers

im pretty sure it’s 11.5 - 16y

Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.



Complete the table based on the given domain.

Answers

At x = –6, y = 11

At x = 3, y = 5

At x = 15, y = –3

At x = –12, y = 15

Solution:

The function is [tex]y=-\frac{2}{3} x+7[/tex].

The domain of the function is {–12, –6, 3, 15}.

Substitute x = –6 in the function to find y.

[tex]$y=-\frac{2}{3} (-6)+7[/tex]

y = 4 + 7

y = 11

Substitute y = 5 in the function to find x.

[tex]$5=-\frac{2}{3} x+7[/tex]

Subtract 7 from both sides, we get

[tex]$-2=-\frac{2}{3} x[/tex]

Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get

x = 3

Substitute x = 15 in the function to find y.

[tex]$y=-\frac{2}{3} (15)+7[/tex]

y = –10 + 7

y = –3

Substitute y = 15 in the function to find x.

[tex]$15=-\frac{2}{3} x+7[/tex]

Subtract 7 from both sides, we get

[tex]$8=-\frac{2}{3} x[/tex]

Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get

x = –12

At x = –6, y = 11

At x = 3, y = 5

At x = 15, y = –3

At x = –12, y = 15

What is the probability that 13 people have different birthdays

Answers

Answer: Your answer for 13 people should be somewhere in the 20% range. Letting n=13 and we have about a 80.56% probability that no two out of the 13 share a birthday. As stated, the complement of this is the probability that at least two of the 13 share a birthday.

Step-by-step explanation:

Final answer:

The probability that 13 people have different birthdays is calculated by multiplying the individual probabilities for each person, considering each additional person has one less available day to have a unique birthday, resulting in an overall probability of approximately 83.3%.

Explanation:

The question asks what the probability is that 13 people have different birthdays, assuming we can neglect the impact of leap years. To solve this, we consider that there are 365 days in a year for a birthday to occur. The first person can have their birthday on any day, so the probability is 365/365. For the second person to have a different birthday, there are 364 possible days left, so the probability is 364/365. This pattern continues down for all 13 people.

For the 1st person: 365/365For the 2nd person: 364/365For the 3rd person: 363/365And so on until the 13th person.

To find the overall probability, we multiply these probabilities together:

Overall probability = (365/365) * (364/365) * (363/365) * ... * (353/365) = 0.833, or 83.3% when rounded to one decimal place.

This calculation is a practical application of probability theory, demonstrating how the likelihood of events changes as conditions evolve, such as when considering the probability of shared birthdays among a group of people.

what is 44x83=? and what is 57x62=?___plz help me​

Answers

44x83= 3,652. 57x62= 3,534

Answer:

44×83 =3652 and 57×63=3591

Step-by-step explanation:

44

×83

_____

3652

57

×63

____

3591

Find the slope between the
following points:
(11,-16) and (17,-9)

Answers

Answer:

m= [-16- (-9)]/(11-17)= (-16+9)/-6= -7/-6

the slope=7/6

Step-by-step explanation:

the slope is difference between y/ difference between x

Which expression is equivalent to (4+3i)^2+(6-I)^2

Answers

Answer:

[tex]\large\boxed{(4+3i)^2+(6-i)^2=42+12i}[/tex]

Step-by-step explanation:

[tex](4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i[/tex]

The probability of getting a 4- bedroom home with a open porch based off the table.

Answers

All you have to do is multiply 1/3 (the chance of getting a 4 bedroom home) times 1/2 (the chance of getting an open porch). The answer is a 1/6 chance, as you don’t have to do anything with the kitchens because the question doesn’t specify to.

Hope this helps!
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