what is the value of x
​

Answer:

x = 29

Step-by-step explanation:

The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.

2x - 10 + 4x + 16 = 180

6x + 6 = 180

6x = 174

x = 29

Step-by-step explanation:

[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]

Answer:

I will solve each one and work from there:

A. 4(5-y) ≥80

     20-2y≥80

      -2y≥60

        y≥-30

B. 2(y-3) ≥ 8

    2y-6≥8

     2y≥14

     y≥7

c. 3y-4>1

   3y>5

     y>5/3

d.  -3/4 / 6y>1/4

      -3/4>1/4 x 6y

Notice how for each inequality it is y≥ or > abc

Although for d it is a number greater than 1/4 x 6y

Based off that i would assume that D is correct

Step-by-step explanation:

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

Answer:

Try to do it with mth way

Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

Area = [tex]a^2[/tex]

224.9 = [tex]a^2[/tex]

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

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Answer:

27

Step-by-step explanation:

(30 workers/40 days) = (20 workers/x days) cross multiply

30*x=40*20 divide by 30 both sides

x= 800/30

x≈26.67

So they will need 27 days

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

Answer:

y = x + 4  

Step-by-step explanation:

Slope intercept :  2x - 2y = 8  =  2x     2x  = 8 + 2y   =  2x = 8 +2y   = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2  = 2x / 2 - 8/2  = 2y/2 = y = x-4    

Answer:

the answer is A. $32.23

Step-by-step explanation:

Answer:

$32.00

Step-by-step explanation:

To find the sales tax always multiply the sales tax to to the cost of you item.

Being your sales tax is 4%  you will Multiply 30.99 x .04 (not just 4)

30.99 x .04 = 1.2396  ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax)  Now add that to your cost of the shoes

$30.99 + $1.24 = $32,23

For future :  if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

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Answer:

26

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define expression

(-4)(-2) - 6(2 - 5)

Step 2: Evaluate

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

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Example: 3/4 x 7

3          7

     x

4          1

You multiply 3 and 7 to get 21.

Then multiply 4 and 1 to get 4.

Now you have 21/4.

Finally, you simplify.

5 1/4

hope it helps! :3

Answer:

34650 dollars by next year

Step-by-step explanation:

Answer:

Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50

Answer:

What line? S...... Sss

Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

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Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

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Answer:

Obtuse

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

Answer:

The answer is D.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

use the pythagoerean theorem

42^2 + 144^2 = c^2

1764+20736=c^2

22500 = c^2

c= 150 miles