Determine the simplest expression for the area of shaded region below

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct.

Answer:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1)}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2} \\ \frac{ - 4x + 7}{2(x - 1)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]

through my working i got to 41² is the hypotenuse.

21²+20²=c²

factor out the square

(21+20)²=c²

41²=c²

and 41² is 1681

Answer:

29 units

Step-by-step explanation:

i just took the quiz

Answer:

A

Step-by-step explanation:

There are 270 minutes in 4.5 hrs.

divide that by 45, you get 6.

50*3^6 is 36,450

Answer:

[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

[tex]43-5n[/tex]

Substitute the value of n & simplify,

[tex]43-5(7)[/tex]

[tex]43-35=8[/tex]

Since the value of the expression is 8 which is not equal 15.

Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.

Expression 2:

[tex]3n-5[/tex]

Substituting the value of n & simplify,

[tex]3(7)-5[/tex]

[tex]21-5=16[/tex]

Since the value of the expression is 16 which is not equal 15.

Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.

Expression 3:

[tex]6n-28[/tex]

Substituting the value of n & simplify,

[tex]6(7)-28[/tex]

[tex]42-28=14[/tex]

Since the value of the expression is 14 which is not equal 15.

Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.

Expression 4:

[tex]19-\frac{28}{n}[/tex]

Substituting the value of n & simplify,

[tex]19-\frac{28}{7}[/tex]

[tex]19-4=15[/tex]

Since the value of the expression is 15 which is equal 15.

Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.

Answer:

correct ans is d

Step-by-step explanation:

click the photo to see process

Answer:

F

Step-by-step explanation:I just took the test

Answer:

4x = 6 + x

3x = 6

x = 2

2 hours..$8

Step-by-step explanation:

1. a = 68

b = 112

c = 68

2. a = 127

3. a = 35

b = 40

c = 35

d = 70

4. a = 20

b = 70

c = 20

d = 70

e = 110

5. a = 90

b = 90

c = 42

d = 48

e = 132

6. a = 70

b = 55

c = 25

Answer:

total 66$

Step-by-step explanation:

let price of bro s be x and pencil be y

according to Qn

at 1 cond

3x+4=30____(1)

2x+5y=27____(2)

solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$

Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

Answer:

270 & 30

Step-by-step explanation:

let the number is n,

the equation :

n× 1/9 n= 27(n +1/9 n)

1/9 n² = 27n + 3n

1/9 n² = 30n

1/9n²- 30n = 0

n(1/9n -30)= 0

n = 0 or

1/9n = 30 => n = 30×9 = 270

270 is a number,

the other : 270/9 = 30

Respuesta:

3.00 p. M.

Explicación paso a paso:

El autobús sale en el Times simultáneamente a las 9 a.m.

Si cada autobús sale de la siguiente manera:

Bus A = cada 90 minutos

BUS B = cada 120 minutos

Bus C = cada 180 minutos

Para obtener la hora, los 3 buses volverán a salir simultáneamente:

Obtenga el mínimo común múltiplo de:

90 = 90, 180, 270, 360, 450, 540

120 = 120, 240, 360, 480, 600, 720

180 = 180, 360, 540, 720, 900

El mínimo común múltiplo es 360 minutos; por lo tanto, los 3 autobuses saldrán después de 360 ​​minutos;

360/60 = 6 horas

9.00 a.m + 6 horas = 3.00 p.m

Answer:

44 units

Step-by-step explanation:

TS = TQ

2x + 8 = 40

2x = 32

x = 16

QV = SV

QV = 3x - 4

QV = 3(16) - 4

QV = 48 - 4

QV = 44

Answer:

El pelotero ha bateado imparables en el 35% de sus intentos.

Step-by-step explanation:

Dado que un pelotero profesional ha bateado 14 imparables en 40 turnos al bate, para hallar la razón entre las veces que ha bateado imparables y los turnos que ha tenido que batear se debe realizar el siguiente cálculo:

14 / 40 = X

0.35 = X

0.35 x 100 = 35

Por lo tanto, el pelotero ha bateado imparables en el 35% de sus intentos.

The only function rule that works is A.

Instead of using f(x) - use y

Then place the numbers in for x and see which are true. The answer is A

Answer:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

To find the square, length*width. Both the length and width are 6, so the area of the square is 36 in.

The triangles all have a base of 6 and a height of 6. So, 36 divided by 2 or multiplied by [tex]\frac{1}{2}[/tex]

You would get 18 in.

There are 4 triangles, so multiply 18 by 4. 72 in.

Add up 36 and 72.

The answer is 108.

[tex]===========================================[/tex]

[tex]108 in^{2}[/tex]

Answer: [tex]\$1120[/tex]

Step-by-step explanation:

Given

Man borrows $800 for 2 years

Rate of interest is R=20%

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

Insert the values

[tex]\Rightarrow S.I.=\dfrac{800\times 20\times 2}{100}\\\\\Rightarrow S.I.=\$320[/tex]

So, total payable amount is

[tex]\Rightarrow 800+320\\\Rightarrow \$1120[/tex]

Answer:

So I did my work so many times and I got 9 but I don't know Imaooo sry :)

Step-by-step explanation:

Answer:

The minimum number of different tanks needed to safely house all the fish is:

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

And the owner of the pet store must buy three different tanks to display these tropical fish.

Answer:

Area of a circle is denoted by: πr^2 where r is the radius of the circle. = 16/2 = 8 feet.

Step-by-step explanation:

Answer:

Time = (30 ÷ 5) seconds

Step-by-step explanation:

It is moving up at the rate of 5 ft/s.

This means;

Distance moved ÷ time taken = 5 ft/s

Thus, for a distance of 30 ft above street level, the time taken will be calculated from

30 ÷ time taken = 5

Time to reach the given distance = 30 ÷ 5

In division sentence, it is composed of division symbol and equal to sign.

Answer:

l = 3w+2

l = 23

Step-by-step explanation:

The area of a rectangle is

A = lw  where l is the length and w is the width

l = 3w+2

A = 161

161 = (3w+2) *w

Distribute

161 = 3w^2 +2w

Subtract 161 from each side

0=3w^2 +2w -161

Factor

0=(w-7)(3w+23)

Using the zero product property

w-7 =0   3w+23 =0

w=7  w = -23/3

Since the width cannot be negative

w=7

l = 3w+2

l = 3(7)+2

l = 21+2 = 23

Length = 3w + 2 = 23.

Step-by-step explanation:

Given :-

Find :-

Solution :-

We know that ,

Area of rectangle = Length × Width.

161 = (3w + 2) × w

161 = 3w² + 2w

0 = 3w² + 2w - 161

0 = 3w² + 23w - 21w - 161.

0 = w ( 3w + 23 ) -7 ( 3w + 23)

0 = (3w + 23 ) ( w - 7)

w - 7 = 0 , 3w + 23 = 0

w = 7 , w = -23/3

Since, width of rectangle can't be negative.

so, w = 7 is right value of width.

Calculate for Length.

length = 3w + 2 ( plug the value of width)

Hence, length = 23

Answer:

Step-by-step explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

→

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000

Answer:

slope= difference in y ÷difference in x

=y-y1÷x-x1

=-3-(-1)÷-3-1

=-3+1÷-3-1

=-2÷-4

=1/2

Step-by-step explanation:

hope this is helpful

Y2 -Y1 ÷ X2-X1

-1 - 1 ÷ -3 - -3= 0.5 or 1/2

Answer:

you would divide an equation from the multiple and then you would simplify the equation for an answer