Which value could be substituted for x in order to make the inequality true? 8 < x < 8.5

[tex] \: \: \: \: \: \blue{\underline{\underline{ \large{ \tt{ \red{✧A \: N \: S \: W \: E \: R}}}}}}[/tex]

[tex] \large{ \tt{✽ Step - By - Step \:Explanation}} : [/tex]

[tex] \underline{ \underline{ \large{ \tt{G \: I\: V \: E \: N}}} }: [/tex]

[tex] \underline{ \underline{ \large{ \tt{S\: O \: L \:V \:I \: N \: G}} }}....[/tex]

[tex]\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} &  \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ &  \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } &  = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x &  = \tt{\frac{499995 - 9x}{10}} \end{array}

[/tex]

[tex] \underline{ \large{ \tt{According \: To \:Question \: (ATQ)}} }: [/tex]

[tex] \large{ \tt{ SP_{1} = SP_{2}}}[/tex]

⤏ [tex] \large{ \tt{ \frac{11}{10} x = \frac{499995 - 9x}{10}}} [/tex]

⤏ [tex] \large{ \tt{110x = 4999950 - 90x}}[/tex]

⤏ [tex] \tt{110x + 90x = 4999950}[/tex]

⤏ [tex] \large{ \tt{200x = 4999950}}[/tex]

⤏ [tex] \large{ \tt{x = \frac{4999950}{200}}} [/tex]

⤏ [tex] \large{ \tt{x = 24999.97}}[/tex]

[tex] \large{ \tt{Replacing \: Value}} : [/tex]

⤏ [tex] \large{ \tt{ SP = 2( \frac{11}{10 } \times 24999.97) = \underline{Rs \: 54999.934}}} [/tex]

[tex] \large{ \tt{CP = Rs \: 55555}}[/tex]

Since SP < CP , he / she made a loss

[tex] \large{ \tt{Loss\% = \frac{CP- SP}{CP} \times 100\% }}[/tex]

⟶ [tex] \large \tt \: \frac{55555 - 54999.934}{55555} \times 100\%[/tex]

⟶ [tex] \large{ \tt{0.99\%}}[/tex]

⟶[tex] \boxed{ \large{ \tt{1\%}}}[/tex]

Hence , Loss percent = 1%

Hope I helped ! ♕

Have a wonderful day / night ! ツ

✏[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !!

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Answer:

[tex]\begin{gathered}\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} & \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ & \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } & = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x & = \tt{\frac{499995 - 9x}{10}} \end{array} \end{gathered} [/tex]

Answer:

A.    After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.    2.86 sec is the time it takes to hit the ground

Step-by-step explanation:

A.   let h = 15

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = .25

After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.  (I will let you do that)

t = 2.85929...    or t = -.10929...

t cannot be negative, so 2.86 sec is the time it takes to hit the ground

The answer of A is  After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.

A.   let h = 15

[tex]ax^2+bx+c=0[/tex]

a, b, c = known numbers, where a ≠ 0

x = the unknown

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = 0.25

After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.

t = 2.85929...    or t = -.10929...

t cannot be negative, So 2.86 sec is the time it takes to hit the ground.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

#SPJ2

Answer:

2 12/15 and 2 10/15

Step-by-step explanation:

4 x 3 = 12

2 x 5 = 10

Answer:

2 4/5=2 12/15

2 2/3=2 10/15

both with a common denominator of 15

hope this helps

have  a good day :)

Step-by-step explanation:

Answer:

656 students

Step-by-step explanation:

18% of 800 is 144, and 800-144= 656 :)

Answer:

20%

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 750 × 20/100

Discount = 750 x 0.2

You save = $150.00

Final Price = Original Price - Discount

Final Price = 750 - 150

Final Price = $600.00

Answer:

20%

Step-by-step explanation:

Just multiply 750 by 20%, and you will get 150. Subtract and you will get 600. That means my answer is correct.

Good Luck!

Answer:

x = 10.7

Step-by-step explanation:

cos 48° = x/16

0.6691 = x/16

x = 10.7

Answer:

40

Step-by-step explanation:

If you do 11 times 4 you get 44 and then you round

Answer:

19

Step-by-step explanation:

a-b=3 ab=5

a²+b² = (a-b)²+2ab ( a general formula)

= 3²+2×5

=9+10 = 19

Answer:

(-1,0)

Step-by-step explanation:

Answer:

You didn't tell us much on what to do, so I just guessed you wanted it simplified. If you want a different answer, please do so tell me and I'll edit my answer to fit.

Simplified: 10[tex]x^{2}[/tex] + [tex]\frac{1}{3x^{3} }[/tex] - 9

Answer:

<A = 120degrees

<B = 80degrees

<C = 60degrees

<D = 100degrees

Step-by-step explanation:

For a cyclic quadrilateral, the sum of the adjacent angle of the quadrilateral are equal, hence;

<A + <C = 180

<B + <D  = 180

Substitute the given values

4x+20+4y = 180

4x+4y =1 60

x + y = 40 ...1

Similarly;

3x+5+7y - 5 = 180

3x+7y = 180 ....2

Solving simultaneously

x + y = 40 ...1 .....* 3

3x+7y = 180 ....2 ...... *1

__________

3x + 3y = 120 ...1 .

3x+7y = 180 ....2

Subtract

3y - 7y = 120 - 180

-4y = -60

y = 15

Since x+y = 40

x + 15 = 40

x = 40 - 15

x = 25

<A = 4x+20

<A = 4(25)+20

<A = 120degrees

<C = 180 - <A

<C = 180 - 120

<C = 60degrees

<B = 3x+5

<B = 3(25)+5

<B = 80degrees

<D = 180 - <B

<D = 180 - 80

<D = 100degrees

Answer:

[tex]\sqrt{21}[/tex], π, [tex]\sqrt{75}[/tex]

Step-by-step explanation:

this set contains only irrationals

Answer:

The price before sales tax was added was $9.72.

Step-by-step explanation:

Answer:

In the triangular prism calculator you can easily find out the volume of that solid. A general formula is volume = length * base_area; the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. Our triangular prism calculator has all of them implemented, isn't it awesome?

The specific formulas look as follows:

Length * Triangular base area given triangle base and height

It's this well-known formula mentioned before:

volume = length * 0.5 * b * h

Length * Triangular base area given three sides (SSS)

If you know the lengths of all sides, use the Heron's formula to find the area of triangular base:

volume = length * 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Length * Triangular base area given two sides and the angle between them (SAS)

You can calculate area of a triangle easily from trigonometry:

volume = length * 0.5 * a * b * sin(γ)

Length * Triangular base area given two angles and a side between them (ASA)

You can calculate that using trigonometry:

volume = = length * a² * sin(β) * sin(γ) / (2 * sin(β + γ))

Step-by-step explanation:

Answer:

A: More than half of the scores were 85% or greater.

E: At least one score was exactly 85%

Step-by-step explanation:

Here the 5 test would be taken in science so 85% would be the result of one of the test

Also 85% represent the median so it means there are 2 values more and 2 values less

So there are 3 results with 85% or greater

Hence, the option A and Option E is correc

And, the rest of the options are wrong

Answer:

A and E

Step-by-step explanation:

Answer:

y = 5x -4 or you could also write y = 5x + -4

it's still the same thing.

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

4/5 yo just times by a 100 to get your answer 400/500

Answer:

strawberry-49%-51%

Step-by-step explanation:

The manager should offer strawberry ice

cream because 49% of the

customers surveyed like mint and 51%  of the customers like strawberry

Answer:

9

Step-by-step explanation:

Complementary means they add up to 90 degrees.

54 + 4x = 90

4x = 36

x = 9

Answer:

21,800

Step-by-step explanation:

Total costs is $16,700 x 4 years = 66,800

He saved 21,000 + receives 24,000 (6,000x4) grants for a total of 45,000 saved.

costs of 66,800 - receipts of 45,000 = 21,800 needed.

Answer:

X-axis

Step-by-step explanation:

Answer:

1.2mi

Step-by-step explanation:

16/60 x4.5=1.2 mi

Answer:

320

Step-by-step explanation:

800 x 0.4 = 320.

Answer:

A and B (answer #2)

Step-by-step explanation:

right triangles: c^2 = a^2 + b^2

c is the largest side

for A: c = 5, a = 3, b = 4

5^2 = 3^2 + 4^2

25 = 25, so A is a right triangle

for B, c = 13, a = 5, b = 12

13^2 = 5^2 + 12^2

169 = 169, so B is a right triangle

for C, c = 4, a = 2, b = 3

4^2 = 2^2 + 3^2

16 ≠ 13, so C is not a right triangle

So, A and B are right triangles.

Answer:

B

Step-by-step explanation:

120/360  54

Answer:

BC ≈ 15.01

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan65° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{7}[/tex] ( multiply both sides by 7 )

7 × tan65° = BC , then

BC ≈ 15.01 ( to the nearest hundredth )