What is 4/5(1/4c-5)? By using distributive property and collecting like terms.

Answer: A.   2(7 – 4x) = 4(5 – 2x) – 6

C.   4(x + 4) = 2(2x + 5) + 6

Step-by-step explanation:

Infinitely solution means when all numbers are solutions . Checking the equations given one by one

A. 2(7- 4x ) = 4(5 - 2x ) - 6

Expanding , we have

14 - 8x = 20 - 8x - 6

14 - 8x = 20 - 6 - 8x

14 - 8x = 14 - 8x , this is just a typical example of infinitely many solutions because any value of x chosen will satisfy the equation.

B. 6(x - 9 ) = 6x - 54 + x

Expanding , we have

6x - 54 = 6x + x - 54

6x - 54 = 7x - 54

collecting the like terms

6x - 7x = -54 + 54

- x = 0

x = 0

This equation has just one solution at x = 0 , because 0 is the only value of x that will satisfy the equation

C. 4( x + 4 ) = 2 ( 2x + 5 ) + 6

4x + 16 = 4x + 10 + 6

4x + 16 = 4x + 16

This equation also have infinitely many solutions

D. 5 ( x - 8 ) + 10 = 5 ( x + 2 )

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10

This equation has no solution.

Therefore , the equations with infinitely many solutions are equations A and C

Liz scored higher.

Step-by-step explanation:

Given,

Correct answers by Austin = 92%

Total questions = 50

Correctly answered by Liz = 47

Percent of Liz's correct answers = [tex]\frac{Correct\ answers}{Total\ questions}*100[/tex]

Percent of Liz's correct answers = [tex]\frac{47}{50}*100[/tex]

Percent of Liz's correct answers = [tex]\frac{4700}{50} = 94\%[/tex]

As 94% is higher than 92%, therefore;

Liz scored higher.

Keywords: percent, division

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Answer:

Step-by-step explanation:

Let, the length of the first piece is x inch.

Hence, the length of the second piece is 2x.

It is given that, the length of the third piece is one inch more than four times of the first piece. Hence, the length of the third piece is 4x + 1 inch.

The total length of the steel is 22 inch.

Hence, x + 2x + 4x + 1 = 22

or, 7x = 21

or, x = 3.

The length of the second piece is [tex]2x = 2\times3 =[/tex] 6 inch.

The length of the third piece is [tex]4x + 1 = 12 + 1 =[/tex] 13 inch.

The lengths of the three pieces of steel are 3 inches, 6 inches, and 13 inches respectively.

Let's denote the length of the first piece as x. According to the problemm, the second piece is twice as long as the first piece, which could be represented as 2x. The third piece is said to be one inch more than four times the length of the first piece, which could be represented as 4x + 1. Since the total length of the steel is given as 22 inches, we write down this equation: x + 2x + 4x + 1 = 22.

Simplifying this equation, we get: 7x + 1 = 22. We then subtraact 1 from both sides to isolate the term with x on one side: 7x = 21. Finally, we solve for x by dividing both sides by 7: x = 3.

Therefore, the length of the first piece of steel is 3 inches. The length of the second piece is twice that, or 6 inches. The length of the third piece is four times the length of the first piece plus one inch, or 13 inches.

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Answer:

Step-by-step explanation:

48 + 30 = 6(8 + 5)

Answer:78

Step-by-step explanation:

Equivalent expression is to carry out the addition process.

48 + 30 = 78

Answer:

X=4

Step-by-step explanation:

The angle CA equals 4. The angle AB are equal to the angle CA therfore, the outcome of x=4.

Answer:

The answer is that it requires 4/5 of your total amount of tickets

Step-by-step explanation:

You break it down originally into fourths, 25x4 = 100% or 100. 125% would be 125 tickets since its by percentage. you'd have a remaining 25 tickets after purchase

Answer:

It is 4/5

Step-by-step explanation:

dont worry

Answer:

ur answer ( I think so it will be correct)

Step-by-step explanation:

$6000 percent $600

= 6000/600

= 60÷6 percent

= 10 percent

I THINK ITS HELPFULL TK YOU

Answer:

The minimum value for  [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].

Step-by-step explanation:

Given function is [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]

We need to find the maximum value or the minimum value for the function.

Now, differentiate [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]  w.r.t [tex]x[/tex].

[tex]f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\[/tex]

[tex]f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)[/tex]

Now, we will equate [tex]f'(x)=0[/tex] to find critical point.

[tex]0.3(x+1)=0\\x=-1[/tex]

Plug this critical point in to the function [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]  we get,

[tex]f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3[/tex]

Also, [tex]f''(x)=0.3[/tex] which is positive, We have minimum value.

So, the minimum value for  [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].

Answer:

C

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Consider the numerator;

When (x - 3)(x - 4) = 0

x = 3 or x = 4.

When x > 3 and < 4 (x - 3)(x- 4)  will be negative and the denominator  (x - 5(x + 6)^2 will be negative so the function will be positive.

So 3  < x < 4 is a part of the answer.

When x > 5 the denominator will be positive  and so will be the numerator.

So x > 5 also is a solution.

When x < 3 the numerator will be positive and the denominator will be negative so the function will be negative.

Answer:

a, it should be 10000

Step-by-step explanation:

400 x 500 is 200000 and the formula is

A=(b)(h)1/2 so half of 200000 is 100000.

Answer:

A

Step-by-step explanation:

To simplify the monomials 6ab-8ab, subtract the coefficients of the like terms and combine the result with the common variables, resulting in -2ab.

The question asks how to simplify the monomials 6ab-8ab. This simplification process involves combining like terms. Both terms have the same variables (a and b), so they are like terms and can be combined by subtracting their coefficients.

Here are the steps to simplify:

Identify the coefficients of the like terms: 6 and -8.

Subtract the coefficients: 6 - 8 = -2.

Combine the result with the common variables: -2ab.

Therefore, the simplified form of 6ab-8ab is -2ab.

Answer:

2

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

In the equation y=-2x+7, the rate of change (slope) is -2, denoting that for every unit increase in x, y decreases by 2. The +7 represents the y-intercept, the value of y when x equals zero. This concept is fundamental in understanding linear equations, where the rate of change is constant.

In the equation y=-2x+7, the rate of change is represented by the coefficient of the x variable, which in this case is -2. This signifies that for each unit increase in x, the value of y decreases by 2. In the context of graphing, this slope (or rate of change) would mean for every step to the right (increase in x), you would take two steps down (decrease in y). For example, if x were to increase from 1 to 2, y would decrease from 5 (plugging x=1 into the equation gives y=5) to 3 (plugging x=2 into the equation gives y=3).

The rate of change is a crucial concept in algebra and lies at the heart of most mathematical models. It plays a vital role in calculus, physics, and engineering, amongst other disciplines. The second number in the equation, '+7', signifies the y-intercept, which is the value of y when x equals zero. This equation represents a straight line, as all linear equations do, and the rate of change (or the slope) is constant across this line.

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Answer:

The answer is 2.414213562

Step-by-step explanation:

The answer is shown in the image attached.

Answer:

2x/3 = 4

2x = 4*3

2x = 12

x = 12/2

x = 6

Hope it helps...

Answer:

D:100

Step-by-step explanation:

20x5 cm.

Actual distance between two points is 100 miles

Distance between two points = 20 cm

Scale factor = 1cm = 5 mile

Actual distance between two points

Actual distance between two points = 20 × 5

Actual distance between two points = 100 miles

So, Option "D" is the correct answer to the following question.

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Answer:

2102

Step-by-step explanation:

Evaluate   -x³+3x²+5x+1   when x = -12

simply substitue x = -12 into the equation

-x³+3x²+5x+1   when x = -12

= - (-12)³ + 3(-12)² + 5(-12)+1

= -(-1728) + 3(144) - 60 + 1

= 1728 + 432 - 60 +1

= 2102

To evaluate the polynomial -x^3 + 3x^2 + 5x + 1 for x = -12, we substitute -12 for x and simplify, resulting in a final value of 2101.

The student is asking to evaluate the polynomial -x^3 + 3x^2 + 5x + 1 when x = -12. To solve this, we substitute -12 for x in the polynomial and simplify:

Therefore, when x = -12, the polynomial evaluates to 2101.

The length of side CD is 11.

To find the length of side CD, we can use the distance formula, which is as follows:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of the two points are (-4, -5) and (-4, 6). Substituting these coordinates into the distance formula, we get:

distance = √(((-4) - (-4))^2 + ((6) - (-5))^2)

distance = √(0^2 + 11^2)

distance = √121

distance = 11

Therefore, the length of side CD is 11.

For such more question on length

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Answer:

D

14,1

x1  y1                     18,17

                            x2  y2  

17-1     =16/12

18-4

Answer:

b.

She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

Answer:

n = -36

Step-by-step explanation:

Let the number be n.

Then n/3 + 11 = -1

Solve for n/3, and then for n:

Subtract 11 from both sides, obtaining

n/3 = -12

Multiplying both sides by 3 yields:

n = -36

The required number that Mo thought of is -36.

A number is determined that Mo is thinking of a number. 11 more than 1/3 of the number is -1.  

in mathematics it is used to decode the statement into mathematical expression to evaluate problems.

Let the number be x and this number is 11 more than 1/3 of that number equal to -1.

⇒ 1/3(x)+11= -1
    1/3(x) = -12
     x = -36

Thus, the required number that Mo thought of is -36.

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[tex](f+g)(x) \text{ is equal to } x^2+x-8[/tex]

Solution:

Given that the functions are:

[tex]f(x) = x-8\\\\g(x)=x^2[/tex]

We have to find the value of (f + g)(x)

By operations on functions, we know that,

(f + g)(x) = f (x) + g(x)

Thus (f + g)(x) can be found by adding both the given functions

[tex](f + g)(x) = f (x) + g(x)\\\\(f + g)(x) = x - 8 + x^2\\\\(f + g)(x) = x^2+x-8[/tex]

Thus (f + g)(x) is equal to [tex]x^2+x-8[/tex]

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

In the scale drawing of Joe, the community pool has (length : width) = 8 : 3

Let the actual length of the pool is 8x meters and the actual width is 3x meters.

Now, given that the actual pool has a perimeter of 77 meters.

So, 2(8x + 3x) = 77

⇒ 22x = 77

⇒ x = 3.5

So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

Answer: 23

Step-by-step explanation: 18+5=23

23-5=18

R=23

The difference of r and 18 means subtraction: r - 18 = 5

To isolate r, you add 18:

r = 18 + 5 or 23

r = 23

The right answer is Option C.

Step-by-step explanation:

Given inequality is

[tex]\frac{n}{7}+3\geq -4[/tex]

We will first subtract three from both sides.

[tex]\frac{n}{7}+3-3\geq -4-3\\\frac{n}{7}\geq -7[/tex]

In the next step we will multiply both sides with 7 to determine n.

Therefore,

Subtract three, then multiply by 7.

The right answer is Option C.

Keywords: inequality, subtraction

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Answer:

C.

Step-by-step explanation:

I just got it right

Answer:

216c^3

Step-by-step explanation

Answer:

Step-by-step explanation:

700 + 85x <=== ur expression

Answer:

24 Guests

Step-by-step explanation:

3 x 8 = 24.

Answer:

since each guest is 1/8 of the cake and he has 3 cake . So the great number of the guest is 24....

Step-by-step explanation:

Should be 24 is the answer...

I hope this will help...Have a nice day...