What substitution should be used to rewrite 6(x 5)2 5(x 5) – 4 = 0 as a quadratic equation? u = (x 5) u = (x – 5) u = (x 5)2 u = (x – 5)2

Answer:

Option 4 (D)

Step-by-step explanation

Text book Formula !

The total number of boxes that can be loaded onto the trailer is 27.

Here we have to determine the maximum number of boxes.

That can be stored in a locker by the volume of one box.

From the given information volume of the box is Vb and the volume f the locker is Vl.

[tex]Volume=Length\times width\times height[/tex]

Therefore we get,

[tex]V_b=4\times3\times2\\V_b=24ft^3[/tex]

The volume of the locker is

[tex]V_L=12\times6\times 9\\V_L=684ft^3[/tex]

Therefore the number of the maximum boxes are

[tex]\frac{VL}{V_b} =\frac{648}{24} \\=27[/tex]

Therefore, The total number of boxes can be loaded onto the trailer are 27.

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Answer:

e=+5

Step-by-step explanation:

119=7(2e+7)

We move all terms to the left:

119-(7(2e+7))=0

We calculate terms in parentheses: -(7(2e+7)), so:

7(2e+7)

We multiply parentheses

14e+49

Back to the equation:

-(14e+49)

We get rid of parentheses

-14e-49+119=0

We add all the numbers together, and all the variables

-14e+70=0

We move all terms containing e to the left, all other terms to the right

-14e=-70

e=-70/-14

e=+5

Step-by-step explanation:

the other answer is right but it seems a bit overly complicated how the result was achieved.

119 = 7(2e + 7)

119 = 14e + 49

70 = 14e

e = 70/14 = 5

that's really it.

The probability of not choosing the solid color tie by David's Wife will

be [tex]\frac{2}{3}[/tex].

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Total Number of ties= 4+3+5 =12

Probability of not choosing the solid color tie

=[tex]\frac{Total\; ties- \; Number\; of \;Solid\; ties}{Total\; number \;of \;ties}[/tex]

=[tex]\frac{12-4}{12}[/tex]

= [tex]\frac{8}{12}[/tex]

=[tex]\frac{2}{3}[/tex]

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The likelihood of an occurrence regardless of the result of another variable is known as marginal probability.

The likelihood of an occurrence regardless of the result of another variable is known as marginal probability. The likelihood of one event occurring in the presence of another is known as conditional probability.

We already know that marginal probabilities are calculated by dividing marginal frequencies by total frequency.

As a result, in this situation, the gender's marginal probability distribution is given by,

P(Gender=x) ≈ 0.5308                     if x = Male

                     ≈ 0.4692(1-0.5308)    if x = female

                     = 0 otherwise

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The area will be equal to Area = (28)(21) / 2 = 294 square inches.

To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:

Hypotenuse = 7 + base = 14 + height

Perimeter = 84 inches

The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,

Perimeter = height + base + hypotenuse = 84

We let x = height and y = base. We calculate area as follows:

84 = x + y + (7 + y)

77 = x + 2y

x = 77 -2y

The Hypotenuse is related to the other sides by the Pythagorean theorem.

Hypotenuse^2 = (x^2 + y^2)

(14 + x)^2 = x^2 + y^2

(14 + (77-2y))^2 = (77-2y)^2 + y^2

(91-2y)^2 = (77-2y)^2 + y^2

Solving for y and x

y = 28

x = 21

Area = (28)(21) / 2 = 294 square inches

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Let's check the options :

[tex] - x < 5[/tex]

Divide both sieds by - 1

[tex] \frac{ - x}{ - 1} > \frac{ 5}{ - 1} \\ [/tex]

[tex]x > - 5[/tex]

False

_____________________________________________

[tex] - x > - 5[/tex]

Divide both sides by - 1

[tex] \frac{ - x}{ - 1} < \frac{ - 5}{ - 1} \\ [/tex]

[tex]x < 5[/tex]

True

_____________________________________________

Divide both sides by - 1

[tex] \frac{ - x}{ - 1} < \frac{5}{ - 1} \\ [/tex]

[tex]x < - 5[/tex]

False

_____________________________________________

[tex] - x < - 5[/tex]

Divide both sides by - 1

[tex] \frac{ - x}{ - 1} > \frac{ - 5}{ - 1} \\ [/tex]

[tex]x > 5[/tex]

False

Answer:

The answer would have to be 5 but im not sure cause there are no answer choices.

Step-by-step explanation:

Answer:

$60.8

Step-by-step explanation:

Twenty percent of 76 is,

→ 20% of 76

→ (20/100) × 76

→ 1520/100

→ [ $15.2 ]

The reduced price of the item is,

→ 76 - 15.2

→ [ $60.8 ]

Hence, the price is $60.8.

Answer:

40%

Step-by-step explanation:

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.

Answer:40&!!!!!!

Step-by-step explanation:40%!!!!!!!

aboustouly tell me ur problem

Answer:

11/1024.

Step-by-step explanation:

Binomial Probability distribution.

This is the probability of 9 tails or 10 tails being flipped.

Prob ( 10 tails) = (1/2)^10 = 1/1024

Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512

Required probability =  1/1024 + 5/512

= 11/1024.

Answer:

1.2 or if you round it is 1

Answer:

1.224744871 or (square root of 6)/2

Step-by-step explanation:

Answer:

Answer is in attachment

Pls Mark brainliest :)

Answer:

A(x) is at its maximum at x = 5, or (5, 25)

Step-by-step explanation:

Putting A(x)=x(10-x) back into its standard form gives A(x) = -x^2 + 10x. The equation to find the x value in vertices in these types of functions is -b / 2a, the letters pertaining to the coefficients. In this case, this graph would have a maximum at -(10)/2(-1), or -10/-2 = 5 --> Thus, when x=5, the downwards facing graph is at its maximum

(Might not be important but another method to solve:)
Take the derivative of the function A(x) = x(10-x) and set it equal to 0 to find the x value of all vertices. In this case, A'(x) = -2x + 10,
-2x + 10 = 0
-2x = -10
x = 5
A(x) is at its maximum at x=5 because it is when A'(x), the derivative, is equal to 0 and thus has a flat slope (or vertex)

Answer:

(5, 25)

Step-by-step explanation:

A(x) is a parabola meaning the max point would be called the vertex

Expand A(x)

[tex]x(10 - x) = 10x - x^{2}\\x^{2} -10x[/tex]

The vertex point is (h, k)

To find h:

[tex]h =- \frac{-b}{2a} \\b = -10\\a = 1\\h = - \frac{-10}{2(1)} \\h = - \frac{-10}{2} \\h = 5[/tex]a and b are from the equation [tex]ax^{2} + bx[/tex]

To find k, plug in h values:

[tex]k = \\f(5) = 5^{2} - 10(5)\\f(5) = 25[/tex]

vertex = (h, k) = (5, 25)

graph attached as well for a visual

Explanation:

There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.

There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13

Hence the answer is 480ml

Step-by-step explanation:

Given Elena wonders how much water it will take to fill her cup. She drops her pencil in the cup and notice it just fit diagonally. The pencil is 17cm long (hypotenes) and the cup is 15cm tall.

To find how much water it can hold

SOLUTION

s

[tex] \sqrt{x {} ^{ 2} + x {}^{2} + 15 {}^{2} = 17 } [/tex]

[tex]2x {}^{2} = 64[/tex]

[tex]x {}^{2} = 32[/tex]

[tex]x = 5.66[/tex]

therefore volume of the cup

[tex]5.66 \times 5.66 \times 15cm| [/tex]

480cm³= 480ml

Answer:

60 degrees

Step-by-step explanation:

Triangle = 180 degrees

60+60+X=180

120+X=180

X=60

The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2

The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts

Answer:

prism

Step-by-step explanation:

when all the sides are joined, it will reveal the shape to become a prism.

The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.

Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,

[tex]x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm[/tex]

Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

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Answer:

Read explanation

Step-by-step explanation:

The equation is written as: [tex]3x-5\geq 16[/tex]

You can make it a 2 step equation.

[tex]3x-5\geq 16\\[/tex]

16+5=21

[tex]3x\geq 21[/tex]

21/3

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

         3 times some number decreased by 5 is no less than 16.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

3n-5≥16

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

              First, notice it says "no less than 16"

So the expression can't be less than 16, so it's greater than or equal to 16.

Now, let the number be n.

Multiply 3 times n:

3n

"Decreased by 5" means you subtract 5:-

3n-5

Inequality:- 3n-5≥15

Solve:

3n-5≥15

3n≥15+5

3n≥20

n≥20/3

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

The factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

The factor of a equation is the terms or number which is common in all the terms of the that equation.

The first term of the equation is,

-1/2x

Multiply with 2 in numerator and denominator of this term as,

-2/4x

(-1/4)2x

Now the second term of the equation is,

-5/4y

Rewrite this term as,

(-1/4)5y

Thus, the expression become,

1/2x - 5/4y

(-1/4)2x- (-1/4)5y

-1/4(2x-5y)

Hence, the factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

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Answer:

add 2 to 13 thats 15 divided by 3 is 5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

4 times 2 times 3

4(2)=8

8(3)+24

Answer:

20: But here is how.

Logically. <Which as you practice means you won’t have to write anything for this type of problem =) >

“Every shirt could come with any one of the pants.” (notation: sn is shirt number n)

s1 with 4 pants, so 4 outfits

s2 with 4 pants, so 4 outfits

s3 with 4 pants, so 4 outfits

s4 with 4 pants, so 4 outfits

s5 with 4 pants, so 4 outfits

Total of 5×4

Answer:

8

Step-by-step explanation:

Volume of a cone formula: V = [tex]\pi r^{2} \frac{h}{3}[/tex]

where,

h is the height             9 in  (assuming)

r is the radius              want

v is the volume            602.88 cubic inches

[tex]\pi[/tex] is                              a = 3.14

Plug in everything:

[tex]602.88 = 3.14r^{2} (\frac{9}{3} )\\602.88 = 3.14r^{2} (3)\\1808.64 = 28.26r^{2}\\\frac{1808.64}{28.26} = \frac{28.26r^{2}}{28.26} \\r^{2} = 64\\r = \sqrt{64} \\r = 8\\or\\r =-8[/tex]

Answer:

g = 48

Step-by-step explanation:

Step 1: Multiply both sides by 6.

g6=8

(g6)*(6)=(8)*(6)

g=48

Answer:

3 ( n + 2 )

3 x n = 3n

3 x 2 = 6

3n + 6 = 9n

Step-by-step explanation:

Answer:

2.2360679775

used a calculator

Step-by-step explanation: