if <1 and <2 are a linear pair then find the value of x’ if m<1 = 1/3(27x-6) and m<2 = 1/2(6x-20).

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Remark

Linear Pair means two angles add to 180. They have a base and a transversal in common.

Equation

1/3(27x - 6) + 1/2(6x  - 20) = 180                Remove the brackets

Solution

9x - 2 + 3x - 10 = 180                                 Collect like terms

12x - 12 = 180                                             Add 12

12x - 12 + 12 = 180 + 12                              Combine

12x = 192                                                    Divide by 12

12x/12/ = 192/12

x = 16


Related Questions

how would i answer this?​

Answers

9514 1404 393

Answer:

  y = (x -1)² -16

Step-by-step explanation:

Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)

Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...

  y = (x -h)² +k

where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...

  y = (x -1)² -16

Write 2x+y=17
in slope-intercept form.

Answers

Answer: y = -2x +17

Step-by-step explanation:

y = mx + b

You are trying to make the equation look like that

So you subtract the 2x to the other side

Hope this helps! :)

Answer:

y=-2x+17

Step-by-step explanation:

subtract 2x on both sides

A delivery truck is carrying an 8,713 lb pound load of pet food.At a weighing station the loaded truck weighs 17,200 lb. What is the weight of the empty truck?​

Answers

Pretty sure you would just subtract 17,200 and 8,713, leaving 8,487.

this is math practice work, and I don’t quite understand it :< hellppppp

Answers

According to the given Statement:

1. - 4 x - 6 = -24

2. -24 x (-7/6) = -28

3. 4 ÷ -6 = -(2/3)

4 . (4/3) ÷ -24 =  -(1/18).

This  implies that the numbers is not a whole number.

What exactly seems to be a simplified fraction?

When there isn't any common factor between the denominator and numerator other than 1, a fraction is said to be in its simplest form. 11/23, for example, is a simple fraction since 11 and 23 have no common elements.

According to the given information:

1. - 4 x - 6 =

2. -24 x (-7/6) =

3. 4 ÷ -6 =

4 . (4/3) ÷ -24 =

For the first :

- 4 x - 6 =

On multiplying this number we get = -24

The implies that the number is not a whole number.

The value is not in the form of p/q so the simplified fraction will be =

-4 and -6.

For the second:

-24 x (-7/6)

On solving this number we get = -24 x (-7/6)

                                                     = -4 x -7

                                                     = -28

The implies that the number is not a whole number.

The value is not in the form of p/q so the simplified fraction will be = -28/1

For the third:

4 ÷ -6

The can also be written as:

4/-6

on dividing by 2 both numerator and denominator So it gives:

-(2/3)

The implies that the number is not a whole number.

The value is not in the form of p/q so the simplified fraction will be = -(2/3).

For the fourth:

(4/3) ÷ -24

The can also be written as:

(4/3) / -24

On solving this number we get = (4/3) / -24

                                                    = 4/72

                                                    = -(1/18)

The implies that the number is not a whole number.

The value is not in the form of p/q so the simplified fraction will be =

-(1/18).

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PLS ANSWER I DO NOT HAVE A LOT OF TIME ANSWERING THIS IS THE ONLY WAY I CAN PASS


Write an Inequality and choose the correct graph of the solution. Graph by placing the correct inequality on the line.


The cost of renting a car is $25 per day plus a one-time fee of $75.50 for insurance. How many days can the car be


rented if the total cost is to be no more than $525?

Answers

Answer:

the second choice 25x+75.50<525

75.50 + 25x < 525

The car can be rented for 17 days.

On the line you will have a lone pointing to the left with an open circle on 17.

75.50 + 25x < 525

25x < 525 - 75.50

25x < 449.50

x < 449.50/25

x < 17.98

Mr. Rozario bought some oranges and some apples. The ratio of oranges to apples is 2:5. He gave 3/4 to his sister and 34 oranges to his brother. He now has a ratio of 2:3. How many oranges and apples did he buy?

Answers

Answer:

He bought 544 oranges and 1,360 apples

Step-by-step explanation:

Here, we want to know the number of oranges and apples bought

Let the number of oranges be x and the number of apples be y

Looking at their ratios;

x:y = 2:5

so;

x/y = 2/5

2y = 5x ••••••(i)

Now, he lost 3/4 of the apples ( by giving out)

What would be left with him is (1-3/4) = 1/4 * y = 0.25y

What is left with him out if the oranges will be; x-34

So now;

0.25y/x-34 = 2/3

3(0.25y) = 2(x-34) •••••••(ii)

From i, y = 5x/2 = 2.5x

Putting this into ii above, we have

3(0.25)(2.5x) = 2x - 68

1.875x = 2x-68

2x-1.875x = 68

0.125x = 68

x = 68/0.125

x = 544

But y = 2.5x

y = 2.5 * 544 = 1,360

ITS IN THE PICTURE! PLEASE ANSWER CORRECTLY! I will mark brainliest if you are right :D

Answers

Answer:

A, B

Step-by-step explanation:

1. A

because the intersection of the line is the solution so no solution means they do not intersect

2. B

because the points on the line that is on top of another line are all solutions and lines have infinite number of points

What is the number which is being subtracted from another number is called

Answers

Subtrahend i guess

Minuend-Subtrahend =Difference

Answer:

subtrahend

Step-by-step explanation:

The number which is subtracted from another number is called "subtrahend".

10 - 2 = 8

In this subtraction, the first number, "10" is called the minuend.

The second number, "2" is called the subtrahend.

The third number "8" is the difference.

Which expression fits this description?
-The expression is the sum of two terms.
-the first term is the product of 2 and a.
-the second term is the quotient of b and 4.
-----------------------------------------------------------------
(2+a)+(b-4)
2a+(b-4)
2a+b/4
(2+a)+b/4

Answers

Answer:

i didthe math, its c

-2.7f + 0.8f -14 -5 please help

Answers

Answer:

3.5f − 19

Explanation:

2.7f + 0.8f − 14 − 5

= 2.7f + 0.8f + −14 + −5

[ Combine Like Terms ]

= 2.7f + 0.8f + −14 + −5

= (2.7f + 0.8f) + (−14 + −5)

= 3.5f + −19

-PNW

idk this plz help me

Answers

Answer:

1. {12,0}

hope it helps.

Answer:

3 and 4

Step-by-step explanation:

X - 9y = 12     If x=3 and y=-1

3 - (9*-1) = 12

3 +9 = 12

12 = 12

and

X - 9y = 12     If x=0 and y=-4/3

0 - (9 * -4/3) = 12

0 + 12 = 12

12 = 12

A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?

Answers

20 minutes * 3 = hour
25 miles * 3 = 75
Solution: 75 miles per hour

Answer:

1.25m/h is the answer for the question

a triangles interior angles are 32 and 64 what is the other one. I need this ASAP.

Answers

Answer:

86

Step-by-step explanation:

This is because the angles should add up to 180. So 32 + 64 is 96. Then you subtract 96 from 180 to get 86.

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax.
Exactly how ,any erasers did stefanie buy?

Answers

Answer:

(4.25-1.75)/0.25=10

she bought 10 erasers

Answer:

10 Erasers

Step-by-step explanation:

We can establish the following equation:

TP = NP*PP + NE*EP

Where:

TP = Total price; (4.25)

NP = Number of pencil packages; (1)

PP = Pencil Package's Price; (1.75)

NE = Number of erasers; (What we are looking for)

EP = Erasers Price; (0.25);

Then:

4.25 = 1*1.75 + NE*0.25;

4.25 - 1.75 = NE*0.25;

2.5/0.25 = NE;

10 = NE.

Brainliest to correct answer

Answers

The relation between x and y is the same.

Which expressions are equivalent to 1/36? check all that apply a) 3^-6 b)6^-2 c) 6^3/6^5 d)6^2/ 6^-1 e) 6×6^-2 f) 6^-9×6^7​

Answers

Answer:

B)6^-2

Because

6^-2

1/6²

1/36

Step-by-step explanation:

Answer:

b , c , f

Step-by-step explanation:

1/36 = 0.028

a) 3^-6 = 0.0014

b)6^-2 = 0.028

c) 6^3/6^5 = 0.028

d)6^2/ 6^-1 = 216

e) 6×6^-2 = 0.1667

f) 6^-9×6^7​ = 0.028

Write the recursive formula of 13, 9, 5...

Answers

Step-by-step explanation:

a(n) = a +(n-1)d

a=13

d=9-13=5-9=-4

°.° a(n) = 13 +(n–1)-4

hope this helps

You are painting your dining room white and your living room blue. You spend $132 on 5 cans of paint. The white paint costs $24 per can, and the blue costs $28 per can.

a. Which equation represents how many cans of each color you bought? Select all that apply.

1. 24x+28(5-x)=132 <<
2. 24x+28(x-5)=132
3. 24(5-x)+28(5-x)=132
4. 24(5-x)+28x=132 <<
5. 24(x-5)+28x=132

b. How much would you have saved by switching the colors of the dining room and living room?

You would have saved $___

explain.
____________________________



((PLEAS HELPP))

Answers

Using proportions, it is found that:

a. The equations are:

1. 24x+28(5-x)=132.4. 24(5-x)+28x=132.

b. You would have saved $8 by switching the colors of the dining room and living room.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, considering that 5 cans were bought, there are two options:

x cans of white paint and 5 - x cans of blue paint.5 - x cans of white paint and x cans of blue paint.

Hence the equations are given by:

1. 24x+28(5-x)=132.4. 24(5-x)+28x=132.

The solution for x is given by:

120 - 24x + 28x = 132

3x = 12

x = 4.

Considering the possible solution, of 4 cans of blue paint and 1 can of white paint.

Exchanging the colors, the price would be of:

4 x 24 + 1 x 28 = 124.

132 - 124 = $8.

You would have saved $8 by switching the colors of the dining room and living room.

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the coordinates of the figure with the given coordinates after the transformation on the plane.
preimage: J(-3, 0), K(-2, 4), L(-1, 0)
image: triangle QRS, translation of JKL along the vector(5, -4)

Answers

We need to know about translation along vector to solve the probelm. The coordinates of the figure after translation along the vector (5,-4) are (2,-4), (3,0) and (4,-4).

Translation means moving an object from one place to another. Every point on the object moves the same amount of distance and in the same direction. Translation of a point along a vector means moving the point to a different location with respect to the given vector. Here we have three points which form a triangle JKL, we have to translate triangle JKL with respect to the vector (5,-4) to get triangle QRS. Inorder to translate a point along a vector we add the x-coordinate of the vector to the x-coordinate of the point and same for the y-coordinates.

J (-3,0)    Q (-3+5,0-4)≡(2,-4)

K (-2,4)    R (-2+5,4-4)≡(3,0)

L (-1,0)     S (-1+5,0-4)≡(4,-4)

Therefore we get the coordinates of triangle QRS after translation of triangle JKL along vector (5,-4) to be (2,-4), (3,0) and (4,-4)

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The temperature dropped 5°C every hour for 7 hours. What was the total number of degrees the temperature changed in the 7 hours?

Answers

Answer:

5ºC/h x 7 h = 35ºC

Simplify the expression.
4x+6-7x


Answers

Answer:

-3x+6

Step-by-step explanation:

grace and her dad are planning to attend the state fair. an adult ticket is $15. the price of an adult ticket is the price of a student ticket plus $8. write an equation to determine how much grace will pay for a student ticket. x 8

Answers

Answer is equation x + $8 = $15

(Solved is $7 for student ticket)

We know:
X = student ticket
+ $8 for adult ticket
Total for two tickets = $15

Equation x + $8 = $15

Solve for x

X + $8 = $15

Subtract $8 from both sides to isolate x

X + $8 - $8 = $15 - $8

X = $7 for student ticket

Problem solved!

Grace will pay $7 for a student ticket.

Let's write the cost of a student ticket as "S." The price of an adult ticket, according to the information provided, is equal to the cost of a student ticket plus $8. Therefore, this relationship can be expressed as an equation:

Price of adult ticket = Price of student ticket + $8

Since the price of an adult ticket is $15 and the price of a student ticket is "S," the equation becomes:

$15 = S + $8

We now need to separate "S" on one side of the equation in order to figure out how much Grace will pay for a student ticket ("S"). To accomplish this, take $8 away from either side of the equation as follows:

$15 - $8 = S

$7 = S

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What is the slope-intercept equation for the line below?

Answers

Answer:

D. y = 5/4x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y-intercept (0, -4)

Random Point (4, 1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{1+4}{4-0}[/tex]Add/Subtract:               [tex]m=\frac{5}{4}[/tex]

Step 3: Write Equation

Substitute

y = 5/4x - 4

Write sixty-five and three hundredths

a. as a decimal number

as a mixed number

Answers

Answer:

65.03   65 3/100

Step-by-step explanation:

Sixty-five and three hundredths can be written as a decimal number as

65.03.

What is place value?

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

Sixty-five and three hundredths

Sixty-five = 65

Three hundredths = 0.03

Now,

We can write as a decimal number as,

65.03

Thus,

The decimal number is 65.03

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Valerie gives her dog 12 ounces of food in the morning and 12 ounces of food at night there are 75 ounces of dog food in a bag after how many feedings will she need to buy a new bag of dog food explain how you know Valerie will need to buy a new bag of dog food after blank feedings

Answers

Answer:

Valerie will need to buy a new bag of dog food after 6 feedings because she would have 0.25 of feedings left.

Step-by-step explanation:

Total number of ounces of dog food = 75 ounces

Ounces that is fed to the dog is = 12 Ounces in the morning and 12 ounces at night.

Hence:

12 ounces = 1 feeding

75 ounces = x

Cross Multiply

12x = 75

x = 75/12

x = 6.25 feedings

Valerie will need to buy a new bag of dog food after 6 feedings because she would have 0.25 of feedings left.

What are the area and the perimeter of a polygon with vertices( 1,-2), (1,5) (7,2)

Answers

Answer: P=7+3√5+2√13 units      S=21 quadratic units

Step-by-step explanation:

[tex]A(1,-2)\ \ \ \ B(1.5)\ \ \ \ C(7,2)\\[/tex]

                  The perimeter of a triangle

[tex]|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} \\|AB|=\sqrt{(1-1)^2+(5-(-2))^2} \\|AB|=\sqrt{0^2+(5+2)^2}\\|AB|=\sqrt{0+7^2}\\ |AB|= \sqrt{7^2} \\|AB|=7[/tex]

[tex]|BC|=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2} \\|BC|=\sqrt{(7-1)^2+(2-5)^2}\\ |BC|=\sqrt{6^2+(-3)^2}\\ |BC|=\sqrt{36+9}\\ |BC|= \sqrt{45} \\|BC|=\sqrt{9*5}\\ |BC|=3\sqrt{5}[/tex]

[tex]|AC|=\sqrt{(x_C-x_A)^2+(y_C-x_A)^2}\\ |AC|=\sqrt{(7-1)^2+(2-(-2)^2} \\|AC|=\sqrt{6^2+(2+2)^2}\\ |AC|=\sqrt{36+4^2}\\ |AC|=\sqrt{36+16} \\|AC|=\sqrt{52}\\ |AC|=\sqrt{4*13} \\|AC|=2\sqrt{13} \\[/tex]

[tex]Thus,\\\\P_{ABC}=|AB|+|BC|+|AC|\\\\P_{ABC}=7+3\sqrt{5}+2\sqrt{13}\ units[/tex]

                        The area of a triangle

Taking A as the first vertex, we find:

[tex]\displaystyle\\Find\ |\overline{AB}*\overline{AC}|\\\left|\begin{array}{cc}x_A-x_C&y_A-y_C\\x_B-x_C&y_B-y_C\\\end{array}\right|=\\\\\left|\begin{array}{ccc}1-7&-2-2\\1-7&5-2\\\end{array}\right| =\\\\\left|\begin{array}{ccc}-6&-4\\-6&3\\\end{array}\right| =\\\\|(-6)*3-(-6)*(-4)|=\\\\|-18-24|=\\\\|-42|=\\\\42\\\\S_{ABC}=\frac{1}{2} |\overline{AB}*\overline{AC}|\\\\S_{ABC}=\frac{1}{2}(42)\\\\S_{ABC}=21 \ quadratic\ units[/tex]

Mariko spent 2 1/2 hours or less doing Spanish and history homework last night. She spent at least 3/4 hour on history, and she spent more time in Spanish in history. Which system of equalities represents the time Mariko spent on homework if X represents the number of hours spent on Spanish NY represents the number of hours spent on history?

Answers

hey i dont know it im just doing a glitch right now

can someone help and explain please? i’ll mark brainliest! thank you

Answers

I think 44 but I’m not sure

I really need help plz​

Answers

Answer:

I think answer is A

Step-by-step explanation:

Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.

Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She plans on buying a hat according to the season every month. Based on this information answer the following Questions.

What is the linear function?

Answers

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1  hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

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