Plot each rational number on the number line.remember that fractions are part of a whole so a fraction like 1/2 will go halfway between 0 and 1.Also remember that a number like 1 3/4 is read as “one and three-fourths”

Answer: 32 + 1 and 5 x 2

Answer:

Step-by-step explanation:

Well the answer is explained below.

Answer:

Step-by-step explanation:

Any equation, for example 2r =2/3

Answer:

B is the correct answer. I just took the test :))

Step-by-step explanation:

Option B is correct, Divide R₂ by 2 and R₃  by 3 is the  next step in solving this augmented matrix using the Gauss-Jordan elimination method.

In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.

To achieve this, we perform row operations on the matrix.

In the given augmented matrix:

[tex]\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right][/tex]

We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.

After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right][/tex]

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Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

Answer: 47600000

Step-by-step explanation:

340000000 * 0.14

= 47600000

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

Answer:

the measure of the central angle of a regular nonagon is 40 degrees.

Answer:

Hope this helps.

Step-by-step explanation:

When measuring for floor tile the rule is:

Length x Width + Waste = Amount Needed

Waste Factor will vary based upon tile size, layout, configuration of room, patterns, etc. Typical waste factor is about 10%. Add 15% for tile being installed diagonally or for a room with lots of jogs and corners. These installations will require more cuts and thus more waste.

Answer:

Sophie Has 7 Dimes, And 14 Quarters

Step-by-step explanation:

Sophie Had 7 Dimes, 7 Dimes, 7 Dimes!

Sophie Had 14 Quarters, 14 Quarters, 14 Quarters!

Sophie is Bill Nye's Daughter.

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

Answer: 45 degrees angle

Answer:

Interest rate (r ) = 0.035 or 3.5%

Step-by-step explanation:

Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:

Use the simple interest formula and algebraically solve for variable, interest rate, r :

I  =  P × r × t

Where:

I = interest payment = $378

P = principal amount = $1,800

t = time (in years) = 6

r = interest rate

Divide both sides by P × t to isolate r :

[tex]\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}[/tex]

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}[/tex]

Substitute the given values into the formula for the interest rate:

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}[/tex]

Interest rate (r ) = 0.035 or 3.5%

Therefore, the interest rate is 3.5%.

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer: WHERE IS THE DIAGRAM

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

Answer:

Nancy gets more, she gets 252 while George gets 168.

Step-by-step explanation:

420÷5=84

168:252

George:Nancy

Answer:

30

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

Answer: -103

Step-by-step explanation:

substitute in the value of B

12+23(-5)

multiply 23 and -5 together

12-115

solve

-103 is the answer

Answer:

-103

Step-by-step explanation:

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

Answer:

x>= 11 or x>10

Step-by-step explanation:

Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.

So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.

*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*

Since in the two triangles,

2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.

Option A is the correct answer.

Answer:

$11 067.50 each theater

Step-by-step explanation:

879575 * 9.50 = 8355962.50 revenue total   8355962.50 / 755 = $11 067.50 each theater

Answer:

Measure of angle A = 120°

Measure of angle B = 98°

Measure of angle C = 104°

Measure of angle D = 140°

Step-by-step explanation:

Since the two straight lines are parallel

, then A + 12X =180° (alternate angles)

, then A = 180° - 12X

Since the two straight lines are parallel

, then measure angle A = measure angle (25X-5)°

(opposite angles)

, then 180° - 12X = 25X - 5° (solve it like a normal equation)

, then 180° + 5° = 25X + 12X

, then 185° = 37X

, then X = 185° ÷ 37

= 5

, then measure of angle A = 180° - ( 12 x 5 )

= 180° - 60°

, then measure angle A = 120°

Since the two straight lines are parallel

, then measure angle B = measure angle 14X (corresponding angles)

, then 15X - 7 = 14X

, then 15X - 14X = 7

, then X = 7

Since X =7

, then measure angle B = (15 x 7) - 7

= 105° - 7

, then measure angle B = 98°

Since the two straight lines are parallel

, then measure angle C = 8X

(opposite angles)

, then 5X + 39 = 8X

, 39 = 8X - 5X

, 39 = 3X

, then X = 39 ÷ 3

, X = 13

Since X = 13

, then measure angle C = (5 x 13) +39

= 65 + 39

, then measure angle C = 104°

Since straight that angle D lies on = 180°

, then sum of measure of and D and 4X =

180°

, then (12X + 20) + 4X = 180°

, then 16X + 20 = 180°

, then 16X = 160° (resulting from 180° - 20°)

, then X = 10

Since X = 10

, then 12 x 10 + 20 = 120 + 20

,the measure angle D = 140°

Answer:

y=5x-11 is the equation of the required line

Answer:7x

11x

Step-by-step explanation:

Answer:

These are some examples of recurring decimals.

Definiton:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.