Helpppp ,I will mark you brainlist

Answer:

7 _> x

Step-by-step explanation:

28 - x _> 7(x-4)

28 - x _> 7x-28

28+28 _> 7x+x

56 _> 8x

7 _> x

Answer:

Market price of set = 25.14

Step-by-step explanation:

Given:

Discount percentage = 20%

Service charge = 10%

GST = 7%

Amount pays = 23.54

FInd:

Market price of set

Computation:

Assume;

Market price of set = a

Market price of set after discount = a(1-20%)

Market price of set after discount = 0.80a

Market price of set after discount + (Market price of set after discount)(Service charge) + (Market price of set after discount)(GST) = Amount pays

0.80a + (0.80a)(10%) + (0.80a)(7%) = 23.54

0.80a + 0.08a + 0.056a = 23.54

0.936a = 23.54

a = 25.14

Market price of set = 25.14

Step-by-step explanation:

so, what are we supposed to do with that ?

you forgot to tell us that.

adding them ?

transforming then into expressions of x and y ?

... ?

Answer:

1). AC=8.25cm

2). DB=7cm & EC=14cm

3). See Explanation

Step-by-step explanation:

According To the Question,

Given That, In ∆ABC, D and E are points on the sides AB and AC respectively such that DE is parallel to BC.

1). If AD= 2.5 cm ,BD = 3cm ,AE = 3.75 cm find length of AC.

Well we can apply Basic proportionality Theorem.

Since DE ║ BC ⇒ Sides are proportional and the angles are equal.

⇒ AD / BD = AE / EC

⇒ 2.5 / 3 = 3.75 / EC

On Solving we get,  

⇒ EC * 2.5 = 3.75 * 3  

⇒ EC * 2.5 = 11.25  

⇒ EC = 11.25 / 2.5  

⇒ EC = 4.5 cm

Thus,  

AC = AE + EC

⇒ AC = 3.75 + 4.50

⇒ AC = 8.25 cm  

Hence the measure of AC is 8.5 cm.

2). If AD = 4 cm , AE =8cm ,DB =x – 4 cm ,EC =3x -19 cm

Well we can apply Basic proportionality Theorem.

Since DE ║ BC ⇒ Sides are proportional and the angles are equal.

⇒ AD / BD = AE / EC

⇒ 4 / (x-4) = 8 / (3x-19)

on solving we get,

⇒ 3x-19 = 2(x-4)

⇒ 3x-19 = 2x-8

⇒x=11

Thus, DB =x–4 ⇒ 11-4 ⇒ DB=7cm

And, EC =3x-19 ⇒ 3×11-19 ⇒ EC=14cm

3). If AD=2cm , BD= 4cm , show that BC = 3 DE

Thus, AB = AD + DB = 2+4 = 6cm

Well we can apply Basic proportionality Theorem.

Since DE ║ BC ⇒ Sides are proportional and the angles are equal.

⇒ AD/AB = DE / BC

⇒ 2 / 6 = DE / BC

on solving we get

⇒ BC = 3 DE Hence, Proved

Answer:

Refer to the attachment!~

Answer:

P [ X ≤  9.8 ]  = 0.1335

Step-by-step explanation:

P [ X ≤  9.8 ]  =  [ ( 9.8  - 10.2 )/1.8√25 ]

P [ X ≤  9.8 ]  =  - 0.4*5/1.8

P [ X ≤  9.8 ]  = - 2 / 1.8

P [ X ≤  9.8 ]  =  - 1.11

From z- table we get:  α  =  0.1335

P [ X ≤  9.8 ]  = 0.1335   or   P [ X ≤  9.8 ]  = 0.1335

Answer:

Multiply to -63

and add to -2

Step-by-step explanation:

I'm a genius.

Answer:

(x - 9)(x + 7)

Step-by-step explanation:

Given

x² - 2x - 63

Consider the factors of the constant term (- 63) which sum to give the coefficient of the x- term, that is

numbers that multiply to give - 63 and add to give - 2

The factors are - 9 and + 7 , since

- 9 × 7 = - 63 and - 9 + 7 = - 2 , then

x² - 2x - 63 = (x - 9)(x + 7) ← in factored form

Answer: [tex]9240\ ft^3[/tex]

Step-by-step explanation:

Given

Dimension of the bathroom is [tex]12'\times 16'[/tex]

Dimension of the bedroom is [tex]14'\times 18[/tex]

Dimension of the great room is [tex]20'\times 30'[/tex]

Height of the ceiling is [tex]h=10'[/tex]

Total area of the cabin

[tex]\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2[/tex]

Volume of the cabin is [tex]V=A\times h[/tex]

[tex]\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3[/tex]

Answer:

hope it helps.

Answer:

4.44

Step-by-step explanation:

Sales price x sales tax rate = sales tax

83.75 x .053(5.3%) =4.44

Answer:

D.6b C.v B.8squared 7b<9

Answer:

B

Step-by-step explanation:

From what we have here;

if a implies b and b implies c

It simply means that we have a implying c

the correct representation here is given in the second option

And thus, we have it that;

a => c

Given:

The two functions are:

[tex]f(x)=\sqrt{32x}[/tex]

[tex]g(x)=\sqrt{2x}[/tex]

To find:

The [tex](f\cdot g)(x)[/tex]. Assume [tex]x\geq 0[/tex].

Solution:

We have,

[tex]f(x)=\sqrt{32x}[/tex]

[tex]g(x)=\sqrt{2x}[/tex]

Now,

[tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]

[tex](f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}[/tex]

[tex](f\cdot g)(x)=\sqrt{32x\times 2x}[/tex]

[tex](f\cdot g)(x)=\sqrt{64x^2}[/tex]

[tex](f\cdot g)(x)=8x[/tex]

Therefore, the correct option is A.

Answer:

CF = 8.5

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

CF × DF = BF × EF , substitute values

CF × 14 = 7 × 17

14CF = 119 ( divide both sides by 14 )

CF = 8.5

Answer:

1.2 books per month

12/10

Step-by-step explanation:

Answer:

Side IJ would be 15

Step-by-step explanation:

Since Triangle HIJ is dilated by a scale factor of 5, that means Triangle H'I'J' would have side measurements that are 5 times as much as Triangle HIJ.

They give you that side I'J' is 75

so you divide 75 by 5 and you'll end up with 15

Answer:

12- 3+16 - 37 -( 20)

=8

Step-by-step explanation:

Two negatives are a positive , this really helps

Answer:

Graph C

Step-by-step explanation:

Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.

Answer:

a = 17

c = 9

Step-by-step explanation:

2a + 3c = 61

3a + 5c = 96

3a = 96 - 5c   (solve for 'a'. Then you can substitute)  

a = 32 - [tex]\frac{5}{3}[/tex] c

2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61     (Substitute)

64 - [tex]\frac{10}{3}[/tex]c + 3c = 61        ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])

-[tex]\frac{1}{3}[/tex] c= -3  

c = 9

2a + 3(9) = 61

2a + 27 = 61

2a = 34

a = 17

Answer:

8.8477344 km

Step-by-step explanation:

[tex] \because \: 1 \: ft = 0.000305 \: kilometre \\ \\ \therefore \: 29028 \: ft = 29028 \times 0.000305 \: km \\ \\ = 8.8477344 \: km[/tex]

Answer:

5

Step-by-step explanation:

(38 + 6x - 6) ÷ 2 = 7x -4

multiply both sides by 2

(38 + 6x - 6 = 2( 7x - 4)

38 + 6x - 6 = 14x - 8

32 + 6x = 14x - 8

40 = 8x

x = 5

Midsegments are the average of both bases.

Answer:

[tex]32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour[/tex]

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

Answer:

a=60 b=60 c=120 is the answer

Answer:

They are consecutive terms in the Fibonacci Sequence.

Step-by-step explanation:

The sequence goes 1,1,2,3,5,8,13,21,...

Since 13 and 21 are consecutive here, that is the answer.

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

[tex]\rm\implies y = 3x - 3 [/tex]

Slope Intercept Form :-

[tex]\rm\implies y = mx + c [/tex]

where ,

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

[tex]\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}[/tex]

Answer:

15:21:35 (I'm not sure, but this is my best guess)

Step-by-step explanation:

15:21 = A:B (plugging in 3 as a test)

21:35 = B:C

15:21:35 = A:B:C (can't simplify)

Answer:

The graph is a circle with a radius of 3 and a center of (0,0).

Step-by-step explanation:

Graph

The equation  x² + y² = 9 represents a circle with center (0, 0) and radius = 3

"It is a mathematical statement which consists of equal (=) symbol between two algebraic statements."

"It is a set of points (x, y) which satisfy given equation."

For given question,

We have been given an equation x² + y² = 9

The graph of above equation as shown below.

We know, the equation of the circle with center (0, 0) and radius 'r' is,          x² + y² = r²

We can write given equation as  x² + y² = 3²

Comparing given equation with x² + y² = r² we have r = 3 units

The graph of above equation represents a circle with center (0, 0) and radius = 3

Therefore, the equation  x² + y² = 9 represents a circle with center (0, 0) and radius = 3

Learn more graph of function here:

https://brainly.com/question/16957172

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