what is x +4z-5-3x, when x=2 and z=3x?

a) Given:

Normal cost of phone = $425

Percentage discount = 30% = 0.30

To find the current sale of the phone, we have:

Therefore, the sale price of the phone is $297.50

b) Given:

Percentage of students absent = 15% = 0.15

Total number of students = 920

To find the number of students in attendance, we have:

Therefore, the number of students in attendance is 782 students.

ANSWER:

a) $297.50

b) 782 students

The measure of ∠ADC is equal to 180 degrees.

The measure of ∠ABC is equal to 90 degrees.

In Mathematics and Geometry, a circle simply refers to a closed, two-dimensional (2D) curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the measure of angle ADC (∠ADC) is equal to 180 degrees.

In conclusion, the angle subtended by chord AB at point B has a measure of 90 degrees.

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The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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Anh randomly surveyed 36 students to see if there was interest in starting the 7th grade science club he found 4 students said they would be interested if 180 students are in the 7th grade how many can be expected to join?

4/36 = x/180

180/36 = 5

20/180

20 students would be intrested

The table shows the results of drawing 44 cards from a deck of 104 game cards. After each draw, the card is replaced.Based on the results, what is the chance that a draw results in a wild card?

Cards :Wild|Number|Penalty|

Freq: 10 | 32 | 2 |

10/44,  =

5/22

Answer:

3 and 7,

7 and 11,

13 and 17

Step-by-step explanation:

Prime numbers have exactly two factors, the number itself and 1. This just means that nothing "goes into" these numbers. Example: 7. 7 is a prime number; the only number that goes into 7 is 7 (and 1)

First, find all the prime numbers that are less than 20:

2, 3, 5, 7, 11, 13, 17, 19

Next find the pairs that are 4 units apart. 3 and 7 works.

7 - 3 is 4

Also, 13 and 17 works, and 7 and 11.

The prove that the modus ponens is a valid argument form in correct order is

The complete question is given below:

1. ~p V -(p = q) Vq = (Tp Vq) v-(Tp V q)

2. Since the disjunction of an expression and its negation is always true, Zp V q) v-(-p V q) is a tautology: This completes the proof:

3. ~(p ^ (p + 9)) Vq =-pV (p + 9) Vq 10

4. Using the rule p 7 q =7p V 4, we rewrite the given expression as 12

5. ~(p ^ (p = 4) Vq =-pv-Wpv 9)Vq

6. To prove the validity of the modus ponens, we need to show that (p 5 9) 5 4 is a tautology:

7. We now reorder and re-associate the terms of the last expression by using the associative and commutative laws and apply the rule p v q = 7pV q again: N

8. To prove the validity of the modus ponens; we need to show that (p ^ (p 7 74 is a tautology:

9. (p v q) - 4=-pv 9Vq

10. Using the rule p 4 q =7p ^ q, we rewrite the given expression as 13

11. By the domination law; the last expression is always true: This completes the proof: 11

12 Zp V-(p - 9) Vq = (~p V 9) ^ -(-p V9)

13. We now use one of the rules of De Morgan:

14. (p ^ (p = 9)) - q =-(p ^ (p = 9)) V q

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Step-by-step explanation:

6x-12=12+5x

6x - 5x = 12 + 12

x = 24

Answer:

6x - 12 = 12 + 5x

1x = 24

x = 24

ez

give brainliest

Step-by-step explanation:

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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Answer: 0.151 percent

Step-by-step explanation:

The probability of any particular outcome is

   (number of possible successful outcomes) / (number of total possibilities)

-- On the first draw, there are 52 possible total outcomes, and

only 4 that are successful ... drawing a 3 .

The probability of drawing a 3 from a full deck is  ( 4 / 52 ).

-- On the second draw, there are 51 possible total outcomes (the first

card you drew stayed out), and only one is successful ... drawing the

queen of hearts.

The probability of this particular outcome is   ( 1 / 51 ).

-- The probability of both of them is  

                                ( 4 / 52 ) x ( 1 / 51 ) =

                                      ( 4 / 2,652 )  =  about 0.151 percent.

Using mathematical operations of addition, multiplication, division, and subtraction, the final score was:

The basic mathematical operations for getting mathematical results from numbers, values, and variables include addition, multiplication, division, and subtraction.

In this situation, we apply these four basic mathematical operations.

Fizzy = 2 points

X = 5 points

Total scores = 93 points

The points in 8 Fizzys = 16 points (8 x 2)

The points in 5 Xs = 25 points (5 x 5)

The equation showing the total scores of K = total scores + 16 - 25

= (93 + 16 - 25)/2

= 42 points

The equation showing the total scores of W = total scores - 16 + 25

= (93 - 16 + 25)/2

= 51 points

Final scores are K = 42 and W = 51.

Thus, applying mathematical operations, the final score shows that K scored 42 points while W scored 51 points, totaling 93 points for the two teams.

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Answer:

Its the one on the left I'm pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gas expands when temperature rises and contracts when cooled. So the full balloon was heated and the partially filled ballon was cooled.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(f\left(x\right)=\sqrt{x^3-16x}\)

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

\(x^3-16x\ge 0\)

as x³ - 16x ≥ 0

\(\left(x+4\right)\left(x-4\right)\ge \:0\)

Thus, identifying the intervals:

\(-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\)

Thus,

The domain of the function f(x) is:

\(x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}\)

And the Least Value of the domain is -4.

We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:

log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))

Using the rule log_a(b^c) = c*log_a(b), we can simplify further:

log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))

Now we can rewrite the equation as:

log_2(x(x+1)^(1/2)) = 3

Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:

x(x+1)^(1/2) = 2^3

Squaring both sides, we get:

x^2 + x - 8 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 1, and c = -8. Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)

x = (-1 ± sqrt(33)) / 2

x ≈ -2.54 or x ≈ 3.54

However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:

log_2(3.54) + log_4(4.54) = 3

0.847 + 0.847 = 3

So x = 3.54 is the valid solution to the equation.

Answer:

Step-by-step explanation:

Okay so solving an inequality is essentially the same as solving an expression, just with a different symbol.

We can first separate the x to the left and whole numbers to the right side.

TIP INPORTANT: Put your variable numbers on the left side and your whole numbers which are the numbers without variables on the right side

so,

4x ≤  10 + 2

which is,

4x ≤  12, therefore,

x ≤  3.

Hope this helps!

The solution is x ≤ 3

What is an Inequality Equation?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

4 x - 2 ≤ 10

Adding 2 on both sides , we get

4 x ≤ 12

Divide by 4 on both sides , we get

x ≤ 3

Hence , the solution is x ≤ 3

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

7x1/3=7/3=2.33

Ths answer is 2.33

Answer:

$41.69

Step-by-step explanation:

The computation of the selling price of the each pair of slacks is as follows:

Given that

Cost = $19.36 per pair  

Markup = $22.33

As we know that  

Markup = Sell Price - Cost

So,  

Sell Price = Cost + Markup

= $19.36 + $22.33

= $41.69

Hence, the selling price is $41.69

Step-by-step explanation:

Option D is the correct answer because 3.544 is greater than 3.455

Option D is true in given comparison.

Here,

We have to find the correct comparison.

What is Decimal expansion?

The decimal expansion terminates or ends after finite numbers of steps. Such types of decimal expansion are called terminating decimals.

Now,

In option D;

The one tenth of 3.544 is 5 and place value of one tenth number in 3.455 is 4.

Clearly, 5 > 4

So, 3.544 > 3.455

Hence, option D; 3.544 > 3.455 is true.

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Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Answer:

Step-by-step explanation:

Answer:

Inokkohgy8uokokj76899

Answer:x=7

Step-by-step explanation:

Steps down below. Remember that angles on a straight line add up to 180 degrees

An axiom of predicate calculus is the foundation of predicate calculus that is based on a fundamental and obvious principle or statement

The foundation of predicate calculus is based on a fundamental and obvious principle or statement known as an axiom.

The aforementioned axioms act as a foundation for deducing rational conclusions and evidence within the domain of predicate calculus.

Universally accurate and accepted without the need for additional reasoning is how they are commonly perceived.

The fundamental regulations and connections that oversee quantifiers, predicates, and logical operations, including conjunction, disjunction, and implication, are determined by the axioms of predicate calculus. They offer a sturdy groundwork for rationalizing statements that involve variables, quantification, and logical connectors in formal systems of logic.

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Answer:Not enough info

Step-by-step explanation: need more

Answer:

-8+2i and -8+2i

Step-by-step explanation:

here simply we'll use general formula

x= (-b +or - √ b^2-4ac)/2a

Answer:

  (b)  No solution

Step-by-step explanation:

You want the solution to 0.5(-2+ 4d) - 2d = -13.

Eliminating the parentheses using the distributive property, we have ...

  -1 +2d -2d = -13

Collecting terms gives ...

  -1 = -13 . . . . . false

No value of d will make this true. There is No Solution.

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96