A rectangular table has a border of same-sized square tiles. The rectangle has 10 tiles along the length and 6 tiles along the width for a total of 28 total tiles. Notice that 10 + 10 + 6 + 6 ≠ 28. If the rectangular table has L tiles along the length and W tiles along the width, which of the following expressions represents the total number of tiles in the border?

l. 2l + 2w
II. 2l + 2w + 4
III. 2l + 2w - 4
IV. 2(1-2) + 2(w-2)+4

A. I only B. II and IV only C. III only D. III and IV only

Answer:

Step-by-step explanation:

increase density of seawater

Answer: x=279,936

Step-by-step explanation:

See attachment

Answer:

17576 Combinations.

Step-by-step explanation:

There are 26 letters in the Current English Lexicon (Alphabet), If there are 3 letters in a person's initials, then our equation would turn out to be "26³ =  17576". So, There are 17576 different possible combinations.

Final answer:

The total number of possible initials a person can have, using the first letters of their first name, middle name, and last name in the English alphabet, is 17,576. This is calculated by multiplying the number of alphabet letters (26) for each initial, resulting in a product of 26 x 26 x 26.

Explanation:

To calculate the number of possible initials a person can have from their first name, middle name, and last name, we must consider that each initial can be any letter from the English alphabet, which has 26 letters. Since each initial is independent of the others, the total number of possible initials is found by multiplying the number of options for each initial together.

The calculation is as follows:

First name initial: 26 possibilities (A-Z)

Middle name initial: 26 possibilities (A-Z)

Last name initial: 26 possibilities (A-Z)

So, the total number of possible initials would be:

26 (for the first name) x 26 (for the middle name) x 26 (for the last name) = 17,576 possible initials.

Answer:

1/4

Step-by-step explanation:

It is 1/4 because you divide the fraction by its highest multiple for 6 and 24 its 6, so you divide the numerator and denominator by 6.

Answer:

Please check the answer below.

Step-by-step explanation:

Considering the statement

[tex]2^?<3^?[/tex]

If [tex]?[/tex] is an whole number.

Set of whole number = {0, 1, 2, 3, ....}

Example 1:

When statement is always true:

For x > 0, the statement will be always be true.

Lets put x = 1

[tex]2^1<3^1[/tex]

2 < 3

So, the statement is true when x = 1

Example 2:

When statement is always true:

For x > 0, the statement will be always be true.

Lets put x = 2

[tex]2^2<3^2[/tex]

4 < 9

So, the statement is true when x = 2

Example 3:

When statement is Never true:

For x = 0, the statement will never be true.

Lets put x = 0

[tex]2^0<3^0[/tex]

[tex]\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0[/tex]

[tex]2^0=1, 3^0=1[/tex]

So,

[tex]1<1[/tex]

Therefore, the statement is False.

Keywords: exponential number, whole number

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Answer:

QUESTION NOT CLEARLY STATED

Step-by-step explanation:

You divide 20 by 100

Answer:

It is 5 to 3

Step-by-step explanation:

Answer:

y = 2.50 , x = 1.25

Step-by-step explanation:

x = soft tacos

y = double deckers

Dory:

3x + 3y = 11.25 

Nemo:

4x + 2y = 10.00

---Now to solve for x and y---

---We find LCM of either x or y then make them cancel each other---

Dory multiply by 2:

6x + 6y = 22.50

Nemo multiply by 3:

12x + 6y = 30.00

--eliminate y--- 

Nemo subtract Dory:

6x = 7.50

Therefore x = 7.50 ÷ 6 = 1.25

---Now substitute x = 1.25 in either equation.---

Dory:

3.75 + 3y = 11.25

Therefore 3y = 11.25 - 3.75

therefore 3y = 7.50

there fore y = 2.50

y = 2.50 , x = 1.25

Answer:

x= $2.50, y= $1.25

Step-by-step explanation:

X= soft taco

Y= double deckers

$11.25= 3x+3y

$10.00= 4x+2y

first eliminate 1 variable, lets say d, to do this we must cancel them out, to do this multiply the top by -2 and the bottom by 3

 -2 ($11.25= 3x+3y)                                      -$22.50= -6x-6y

 3 ($10.00= 4x+2y)     which becomes.          $30.00=12x+6y

then the -6y and the positive 6y cancel out and you are left with 1 variable  

after this add the remaining parts to get.

$7.50=6x  divide by 6, then put x back into one of your original equations and solve for d then you have found how much each item costs and are finished with the system of equations

Answer:

[tex]6x^{3} +14x^{2} +6x-12[/tex]

Step-by-step explanation:

distribute

Answer: 50 words per minute

Step-by-step explanation: You need to find the unit rate, so you solve 150=3x to get x=50

x > –5

Solution:

Given expression is –5 < 2x + 5.

Step 1: Let us first switch the sides.

⇒ 2x + 5 > –5

Step 2: Subtract 5 from both side of the inequality.

⇒ 2x + 5 –5 > –5 –5

⇒ 2x > –10

Step 3: Divide by 2 on both sides of the inequality.

[tex]$\Rightarrow\frac{2x}{2} >\frac{-10}{2}[/tex]

⇒ x > –5

Step 4: That is the values of x are greater than –5.

Hence x > –5.

Answer:

a

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

Evaluate g(- 5) then substitute the value obtained into f(x)

g(- 5) = - 5 - 3 = - 8, then

f(- 8) = 2(- 8)² + 5 = 2(64) + 5 = 128 + 5 = 133

Answer:

C

Step-by-step explanation:

if you multiply 2.3 times pi you get the answer

Answer:

3. A

4. D

Step-by-step explanation:

r : radius

area of a circle = 3.14×r²

3,14×11^2 = 379,94

3,14×(2,3÷2)^2 = 4,15265

Answer:

Equal to 3

The drawing will help

Answer: Less than

Step-by-step explanation:

The answer will be 2 causing it to be less than 3

multiply 3*2 and get 6

1*3 and get 3

6/3 = 2

3 tuns into 3/1

Remember: Any whole numbers by itself turns into a fraction when multiply fractions and a whole number. So 3 becomes 3/1

Answer:

equation of line m is x=3

equation of line n is y=-4

Step-by-step explanation:

Line m has no y intercept, and its x-intercept is (3,0).

When a line has no y intercept then it is a vertical line

for any vertical line the equation is x= x1

(3,0) is (x1,y1)

so equation of line m is x=3

Line n has no x intercept and its  y -intercepts is (0-4).

When a line has no x intercept then it is a horizontal  line

for any horizontal line the equation is y= y1

(0,-4) is (x1,y1)

so , the equation of line n is y=-4

Answer:

253.75

Step-by-step explanation:

Answer:

Only one solution my boiiii

Answer:

Step-by-step explanation:

9x + 23 = 3x + 3

9x - 3x = 3 - 23

6x = -20

x = -20/6

x = - 10/3

x = -3 1/3

Answer:

12=12 Many Solutions

Step-by-step explanation:

6(x+2)=6x+12

6x+12=6x+12

-6x -6x

12=12

*MANY SOLUTION

*THERE IS A SOLUTION

Answer:

Step-by-step explanation:

point slope form

y + 6 = -3(x - 4)

point slope to y-intercept

y + 6 = -3x + 12

y = -3x + 6

Answer:

The 4th Image

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5x^2 + 7x -6

Rewrite the middle term whose product equals first term x last term: 5 x -6 = -30 and whose sum equals the middle term.

Rewrite 7 as -3 + 10

5x^2 +(-3+10)x -6

Use distributive property:

5x^2 -3x + 10x -6

Group the first two terms and last two terms:

(5x^2 -3x) (10x -6)

Factor out greatest common factor of each group to get final answer:

(5x-3)(x+2)

Final answer:

To find the number in the middle of 15 and 24, you calculate the mean, which is (15 + 24)/2, resulting in 19.5.

Explanation:

How to Calculate the Number in the Middle of 15 and 24

To calculate the number in the middle of two values, we are essentially seeking the mean or average of those two numbers. This can be done by adding the two numbers together and then dividing by the number of values, which is 2 in this case. Thus, the calculation would be (15 + 24)/2.

Let's do the math: (15 + 24)/2 = 39/2 = 19.5.

Therefore, the number in the middle of 15 and 24 is 19.5.

Answer:a=3.6 and b=4.8

Step-by-step explanation:(a^2)+(b^2)=(c^2)

Where c is hypotenuse is equal to 6. A right triangle is also known as a 3,4,5 triangle where the 2 legs are 3 and 4 and hypotenuse is 5. Find the factor in size difference by dividing your hypotenuse of 6 by the hypotenuse of 5 you get 1.2. Now multiply the 3 and 4 by 1 2 to get your answers of 3.6 and 4.8.

To check work simply plug in your legs as a and b

(3.6^2)+(4.8^2)=(6^2)

(12.96)+(23.04)=(36)

Answer:

15(3+2x)

Step-by-step explanation:

15 multiplies to both 3 and 2x amd the result is 45+2x

Final answer:

To write an expression equivalent to 45 + 30x using the distributive property, factor out the common factor of 15 to get 15(3 + 2x).

Explanation:

To write an expression equivalent to 45 + 30x using the **distributive property**, we can factor out the common factor. This can be done as follows:

Factor out 15, so 45 + 30x becomes 15(3 + 2x).

Therefore, an expression equivalent to 45 + 30x using the distributive property is 15(3 + 2x).

Answer: 41

Step-by-step explanation: I just took the test

To determine the value of x, various methods are used depending on the context, including setting up proportions for scale models, applying the quadratic formula, solving linear equations, and establishing ratios.

To find the value of x, we have various scenarios illustrating different mathematical concepts, such as proportions, the quadratic formula, and linear equations. Each scenario requires specific steps to solve for x, but they all center on mathematical problem-solving skills.

When dealing with proportions, such as a scale model, you set up a proportion correlating the scale size to the actual size and then cross multiply to solve for x. In the situation where a quadratic equation is involved, you apply the quadratic formula to determine the value of x, taking care to discard any solutions that do not make sense in the physical context of the problem, such as negative distances.

For linear equations, you enter the given data into a calculator or computer and solve for x, while ensuring you round off to the accuracy required, typically four decimal places. Ratios and scale factors also play a role in determining x, where you establish a ratio based on given dimensions and solve for the unknown.

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