simple example of a literal equation

Answer:

I will have 5 stampers

I, Newton and Descartes have 17 Stampers in total

Newton and Descartes have 6 stampers each

6 + 6

= 12

The number of stampers left for me can be calculated as follows

= 17 - 12

= 5

Hence I have 5 stampers  

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a. |u + v| = 4

b.  |(u + 2v) × v| = 16

Vectors are known as quantities having both magnitude and direction.

Given that;

a.  |u + v|

Substitute the values of the vectors

|u + v| = 1 + 3

|u + v| = 4

b.  |(u + 2v) × v|

Expand the bracket

|u. v + 2v² |

But u. v = -2

We then have;

-2 + 2(3)²

-2 + 2(9)

-2 + 18

16

Thus, the values are 4 and 16 respectively.

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Answer:

The value of s is 15

Step-by-step explanation:

so first you count all the sides and add them up

s+6+s+6+s+2s+s=102

6s+12=102

6s=90

s=15!!

After that you plug that into to the equations for the answer.

Hope this helps!

Answer: D

Step-by-step explanation:

16/30 x100= 53.3%

[tex]\huge\mathcal {♨Answer♥}[/tex]

Let's get the width as [tex]\large\texttt {x}[/tex]

So,

The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]

The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]

Let's get the answer for width,

☆ 2 (2x + 2) + 2x = 82

4x + 4 + 2x = 82

6x + 4 = 82 - 4

6x ÷ 6 = 78 ÷ 6

x = 13

Let's get the answer for length,

☆ 2x + 2

2 × 13 + 2

28

Then,

[tex]\large\texttt {↪The width is 13 inches}[/tex]

[tex]\large\texttt {↪The length is 28 inches}[/tex]

☆...hope this helps...☆

_♡_mashi_♡_

(3, -1)

Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.

Reflection of a coordinate in x-axis, negates the y - coordinate.

So, negation of 1 = -1

So, the new coordinate is ( 3, -1)

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∠DFG and ∠JKL are complementary angles

Measure of each angle

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So,

Now replace the expressions and solve for x

Now replace x with 43 and find out each angle

Answer:

1propotion 2fraction is how it goes

The property of addition that represents this is the zero property of addition

The equation is given as:

a + bi + 0 + 0i = a + bi

In the above equation, the number is added by 0 and the result is the initial number

The property of addition that represents this is the zero property of addition

Because it states that

a + 0 = 0

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Answer:

147 different choices.

Step-by-step explanation:

(7)(3)(7) = 147

Hope this helps

Answer:

m will be the right answer

Answer:

1: 7.2         2: 2012          3: 2014 and 2015        4: 2011       5: 6.6       6:1

Step-by-step explanation:

I don't have time to explain.

It just is.

Answer: f < 9

Step-by-step explanation:

first, cross multiply 2 and 2:

f - 5 < 4

f < 9

Answer:

f < 9

Step-by-step explanation:

=> (f-5)/2 < 2

multiplying both sides by 2

=> 2(f-5)/2 < 2×2

=> f-5 < 4

adding 5 to both sides

=> f-5+5 < 4+5

=> f < 9

Answer:

Step-by-step explanation:

-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p

= -1p

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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======================================================

Work Shown:

First replace every copy of n with 2

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]

Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]

Then repeat for n = 3

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]

Same goes with n = 4

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]

Finally plug in n = 5

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]

-----------------------------------

We have this summary:

[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]

The first five terms are:  7, 15, 39, 111, 327

Answer:

10 and 28

Step-by-step explanation:

let x be one number then the other is x + 18 ( 18 more than the other ), then

x + x + 18 = 38

2x + 18 = 38 ( subtract 18 from both sides )

2x = 20 ( divide both sides by 2 )

x = 10

and x + 18 = 10 + 18 = 28

the 2 numbers which divide 38 into the 2 parts are 10 and 18

Answer:

207  2 hundreds seven ones

Step-by-step explanation:

The decimal approximation for the trigonometric function sin 28°48' is

Given the trigonometric function is sin 28°48'

The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.

To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°

sin (28°48') = sin(28° ₊ (48 × 1/60)°)

= sin(28° ₊ (48 /60)°)

= sin(28° ₊ 4°/5)

= sin(28° ₊ 0.8°)

= sin(28.8°)

= 0.481753

Therefore sin (28°48') is 0.481753.

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The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

Bowling alley A;

Their charges per game is $4 per game

Charges to rent shoes is $3.75

If number of games is x, then we have;

Total Cost = 3.75 + 4x

Bowling alley B;

Their charges per game is $4.50 per game

Charges to rent shoes is $2.50

If number of games is x, then we have;

Total Cost = 2.5 + 4.5x

Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;

2.5 + 4.5x > 3.75 + 4x

Rearrange to get like terms gives;

4.5x - 4x > 3.75 - 2.5

0.4x > 1.25

x > 1.25/0.4

x > 3.125

Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

B)  Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;

3.75 + 4.5x > 2.5 + 4.5x

This means that the total cost will now always be greater at Bowling alley A

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The 73rd term of  the arithmetic sequence 18,30,42 = 882.

An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and  27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.

The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.

Let us now look for the explicit rule for with this arithmetic sequence. We have the following:

aₙ = a₁ + (n - 1) * d

  = 18 + 12 * (n - 1)

  = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

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The length of the arc is calculated for the given semicircle as 15.7 units.

For, the given question.

The radius of the semicircle is 5 units.

The length of the arc of semicircle is equal to the perimeter of the semicircle.

The formula for perimeter;

P = πr

where, r is the radius and π = 3.14.

Put the values in the formula.

Perimeter = 3.14×5

Perimeter = 15.7 units.

Therefore, the length of the arc of the semicircle is 15.7 units.

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Answer:

∠ EBF = 47°

Step-by-step explanation:

since BE bisects ∠ ABF , then

∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22

∠ ABF = ∠ ABE + ∠ EBF ( substitute values )

8w - 6 = 2w + 22 + 2w + 22

8w - 6 = 4w + 44 ( subtract 4w from both sides )

4w - 6 = 44 ( add 6 to both sides )

4w = 50 ( divide both sides by 4 )

w = 12.5

Then

∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°

Answer: last one

Step-by-step explanation:

I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.

Based on the given parameters, the numerical length of PT is 9 units

The given parameters are:

P is a point on ST such that P is between S and T.

SP = x + 3,

PT = 2x - 1

ST = 17

The statement "P is a point on ST such that P is between S and T" implies that

ST = SP + PT

Substitute the known values in the above equation

17 = x + 3 + 2x - 1

Evaluate the like terms

17 = 3x + 2

Add 2 to both sides of the equation

3x = 15

Divide both sides of the equation by 3

So, we have

x = 5

Substitute x = 5 in PT = 2x - 1

So, we have

PT = 2 x 5 - 1

Evaluate

PT = 9

Hence, the numerical length of PT is 9 units

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Answer:

Step-by-step explanation: