Help solving this problem

Corrected question :

Solve the equation. Write your answer as an integer or simplified fraction.

Required Solution :

The given equation,

★ Multiplying -7 into (n - 2),

>> 8n - 7 × (n - 2) = 18

>> 8n - 7n + 14 = 18

★ On substracting 7n from 8n we gets,

>> n + 14 = 18

★ Now transposing 14 which is in L.H.S. into R.H.S. (Remember that sign would be . So 14 would be -14),

>> n = 18 - 14

>> n = 14

★ Therefore,

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If f is a one-to-one continuous function defined on an interval, then its inverse f−1 is also one-to-one and continuous.

Answer:

7km

Step-by-step explanation:

[tex] \frac{1}{3} x + \frac{1}{4} x = \frac{4}{12} x + \frac{3}{12} x = \frac{7}{12} x \\ \\ \\ x - \frac{7}{12} x = \frac{12}{12} x - \frac{7}{12} x = \frac{5}{12} x \\ \\ \frac{5}{12} x = 5 - - - > x = 12[/tex]

[tex]12 \times \frac{7}{12} = 7[/tex]

Answer:

35 cm²

Step-by-step explanation:

This is because the formula of the area of a parallelogram is;

area = (base) x (height)

since the base is 5, and the height is 7;

area = (5) x (7)

area = 35

Hope this helps!

Answer:

Step-by-step explanation:

The formula of area of the parallelogram is used to find the area of the parallelogram.

Area of the parallelogram formula:

[tex]\Longrightarrow: \sf{A=B*H}[/tex]

B stands for "base".

H stands for "height".

Multiply.

Solve.

5*7=35

= 35cm²

I hope this helps! Let me know if you have any questions.

Answer:

They gave her a $6.12 tip

Step-by-step explanation:

You have to multiply the total ($34) by the Percent (18% = 0.18), and then you will have your final answer.

Answer:

6

Step-by-step explanation:

once you replace the letters with numbers you get, 81/9-3 and 81/9 is equal to 9 and 9-3=6

Answer:

19/100

Step-by-step explanation:

Answer:

19/100

Step-by-step explanation:

The answer is 19/100 because the percentage should be out of 100. Therefore, the fraction is 19/100.

Answer:

A) 175π / 9 squared inches,

Step-by-step explanation:

Radius = 10 inches

AB = BD = 10 = radius

Triangle ABD is isosceles

Angle DAB = Angle BDA = 35 degrees,

Base angles theroem

35 + 35 + x = 180, angles in triangle

x = 180 - 70

x = 110 degrees

Angle DBC is supplementary with ABD

110 + x = 180

x = 70

70 degrees is angle for the sector

70 is 70/360, 7/36 of the circle

The area will also be 7/36 of the circle area

Area of circle = πr^2

Area =  100π

Area of sector = (100π * 7) / 36

Area of sector = 700π / 36

Simplified area = 175π / 9 squared inches

Answer:

4 inches

Step-by-step explanation:

The scale is 1:3 based on that info, x:12

There is a 4-factor increase, meaning x=4

The Zoo is 16 Inches from the school

The new center is 5 units away from the original, hence we added 5 to the x-value.

If you notice the sides of the new triangle are twice the size of the original one, meaning that it was dilated by a scale factor of 2.

Answer:

$68

Step-by-step explanation:

Mrs. reynolds now has 68 dollars. 153-105=48. 48+20=68

Answer:

She has $68 dollars remaining

Step-by-step explanation:

(no bar diagram needed, lol jk.)

anyways she started off with 153, right?

She then buys a bike worth $105; thats -$105  which leaves here with $48 dollars

Then ooo its her lucky day, she finds a $20 dollar bill, you add it to $48 (+$20) , now she has $68 dollars in total.

<3

Answer:

A

Step-by-step explanation:

The time it would take for Rudy to have the same number of each punch card is 1 week.

The number of punches on each card Rudy would have is 8 punches.

The equation that represents the number of punches on the tea punch card is: 1 + 7t

The equation that represents the number of punches on the coffee punch card is: 2 + 6t

Where t represents the number of weeks

When both cards would have the same amount of punches, the two above equations would be equal:

1 + 7t = 2 + 6t

To find the value of t, take the following steps:

Combine similar terms

7t - 6t = 2  - 1

t = 1 week

Number of punches on each card = 1 + 7(1) = 8 punches

To learn more about when the two different variables would have the same amount, please check: https://brainly.com/question/25711114

Using the unit circle, it is found that the terminal point of the angle 5pi/4 is given by:

A. [tex]\left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right)[/tex]

For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].

The angle 5pi/4 is in the third quadrant, as it is greater than pi and less than 1.5pi, in which both the sine and the cosine are negative. Hence, considering the reference angle, we have that:

[tex](\cos{(\left(\frac{5\pi}{4}\right)}, \sin{(\left(\frac{5\pi}{4}\right)}) = (-\cos{(\left(\frac{\pi}{4}\right)}, -\sin{(\left(\frac{\pi}{4}\right)}) = \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right)[/tex]

Hence option A is correct.

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Answer:

[tex]\frac{9}{x-3}[/tex]

Convert the problem into split up expressions.

[tex]\frac{18}{2}(x - 6)[/tex]

Take both 6 and 18's most common factor here, 2, and divide by 2 to simplify.

[tex]\frac{18}{2} = 9\\\\\frac{6}{2} = 3[/tex]

Cancel.

18 becomes 9

6 becomes 3

The equation turns into:

[tex]\frac{9}{x - 3}[/tex]

note that because we, "canceled" 2, that also means it does not appear in the simplified form since it was a factor.

Answer:

50 * 30 = 1500

Answer:

Actual Product =54*31= 1,674

Estimated Product = 50*30=1,500

Step-by-step explanation:

Answer:

0; 3.

Step-by-step explanation:

1) if to substitute x=1 into the given equation, it is possible to calculate the value of 'm':

1-m²-m+1=0; ⇔ m²+m-2=0; ⇒ m₁=-2; m₂=1;

2) if m=-2 and m=1, then the initial equation is:

x²-4x+3=0 or x²-x=0;

3) according to the item 3), the 2d root is:

x₂=3 or x₂=0.

Answer:

x = 25/3; y = -5/3

Step-by-step explanation:

You did well so far by multiplying both sides of the first equation by 2.

Now notice that you have -2y in the new first equation and 2y in the second equation. -2y and 2y add to 0.

Now add the equations to eliminate y.

      2x - 2y = 20

(+)   4x + 2y = 30

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

      6x         = 50

6x/6 = 50/6

x = 50/6 = 25/3

2x - 2y = 20

2(25/3) - 2y = 20

50/3 - 2y = 60/3

-2y = 60/3 - 50/3

-2y = 10/3

-2y/2 = (10/3)/(-2)

y = -5/3

Solution: x = 25/3; y = -5/3

Answer:

[tex]\boxed{8x+6 \: units= base}[/tex]

Step-by-step explanation:

Altitude = 3x

Area = 12x² + 9x

We know that

Area of right triangle = ½ × base × altitude

Then,

12x² + 9x = ½ × 3x × base

[tex]12x ^ { 2 } +9x= \frac{ 3x }{ 2 } \times \: base[/tex]

[tex]\frac{6x\left(4x+3\right)}{3x} = \frac{3x\times \: base}{3x}[/tex]

[tex]\frac{6x\left(4x+3\right)}{3x} = base[/tex]

[tex]\underline{\underline{8x+6 \: units= base}}[/tex]

________

Hope it helps ⚜

Answer:

x = 0.75

Step-by-step explanation:

first make the x term the subject

-7 = 12x - 16

-7 + 16 = 12x

add the like terms

9 = 12x

solve for x

9÷ 12 = 12x ÷ 12

0.75 = x

[tex]y= f(x) = 3^x+1\\\\\text{Replace x with y and solve for y}\\ \\~~~~~~x=3^y+1\\\\\implies 3^y = x-1\\ \\\implies \ln(3^y) = \ln(x-1)\\\\\implies y \ln 3= \ln(x-1)\\\\\implies y= \dfrac{\ln(x-1)}{\ln 3}\\\\\implies f^{-1}(x) = \dfrac{\ln(x-1)}{\ln 3}[/tex]

Answer:

1/4.

Step-by-step explanation:

3/4 of 1/3

= 1/3 * 3/4

= 3/12

= 1/4

#1

[tex]\\ \rm\Rrightarrow \dfrac{WX}{GH}=\dfrac{UY}{JI}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{8}{14}=\dfrac{UY}{28}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{8(28)}{14}=UY[/tex]

[tex]\\ \rm\Rrightarrow UY=8(2)=16[/tex]

#2

[tex]\\ \rm\Rrightarrow \dfrac{UV}{UY}=\dfrac{FJ}{JI}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{UV}{16}=\dfrac{21}{28}[/tex]

[tex]\\ \rm\Rrightarrow UV=\dfrac{3}{4}\times 16[/tex]

[tex]\\ \rm\Rrightarrow UV=3(4)=12[/tex]

#3

[tex]\\ \rm\Rrightarrow \dfrac{WX}{XY}=\dfrac{GH}{HI}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{8}{XY}=\dfrac{14}{35}=\dfrac{2}{5}[/tex]

[tex]\\ \rm\Rrightarrow 2XY=40[/tex]

[tex]\\ \rm\Rrightarrow XY=20[/tex]

Answer:

UY = 16

UV = 12

XY = 20

Step-by-step explanation:

If UVWXY ~ JFGHI

then:

UV~JF

VW~FG

WX~GH

XY~HI

UY~JI

The only pair of sides that both have measures is WX and GH:

WX = 8

GH = 14

⇒ GH/WX = 14/8 = 1.75

Therefore, JFGHI is and enlargement of UVWXY by scale factor 1.75

As IJ = 28

⇒ UY = 28 ÷ 1.75 = 16

As JF = 21

⇒ UV = 21 ÷ 1.75 = 12

As HI = 35

⇒ XY = 35 ÷ 1.75 = 20

Answer:

m = 7/6

Step-by-step explanation:

Find coordinates of two points:

(-2,3)

(-8,-4)

Slope formula =

y1 - y2 / x1 - x2

So...

-4-3 / -8 -- 2

-7 / -6

7/6

remember brainliest and have a great day!

Answer:

7π/6, 11π/6

Step-by-step explanation:

2cscx + 17 = 15 + cscx

1. Subtract cscx and 17 from both sides ⇒ cscx = -2

2. cscx = 1/sinx ⇒ 1/sinx = -2

3. Multiply by sinx and divide by -2 ⇒ sinx = -1/2

When is sinx equal to -1/2? ⇒ 7π/6, 11π/6

The solution of the equation 2cosec x+17 = 15+cosec x is 7π/6 and 11π/6.

Given:

Find:

Solution:

2Cosec x + 17 = 15 + Cosec x

⇒ 2Cosec x - Cosec x = 15 - 17

⇒ Cosec x = -2

Now, 1/sinx = -2

   ⇒  sinx = -1/2

we know, sin 30° = 1/2

Since, sinx is negative,

x will be in 3rd and 4th quadrant.

value in 3rd quadrant = 180° + 30° = 210°

value in 4th quadrant = 360° - 30° = 330°

So, x = 210° = 210 * π/180 = 7π/6

Also, x = 330° = 330 * π/180 = 11π/6

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Answer:

  A"(1, -2)

Step-by-step explanation:

In addition to the translation transformation given, you are asked to transform the figure further by rotating it 180° about the origin. The translation for that is ...

  (x, y) ⇒ (-x, -y)

Then the composition of the two transformations is ...

  (x, y) ⇒ (-(x -5), -(y -1)) = (-x +5, -y +1)

__

Applied to the given point(s), we have ...

  (x, y) ⇒ (-x +5, -y +1)

  A(4, 3) ⇒ (-4 +5, -3 +1) = A"(1, -2)

  B(1, 1) ⇒ (-1 +5, -1 +1) = B"(4, 0)

The coordinates of A" after translation and rotation are (1, -2).