The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
Calculate the percentage reduction,
Show your working
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let the f(x) be x

2x-3/5=y

or,2x-3= 5y

or, x= 2y-3/5

inter changing the relation of x and y

x= 2y-3/5

:. f(x)= 2x-3/5

Step-by-step explanation:

2y-3/5 is the inverse of f(x)

Answer:

y = 3

Step-by-step explanation:

Given that,

TW = VW = 23,

TU = y + 24,

UV = 9y

∆TWU and ∆VWU are congruent by SAS Congruence Theorem.

Therefore:

TU = UV

y + 24 = 9y (substitution)

Subtract y from each side

24 = 9y - y

24 = 8y

Divide both sides by 8

24/8 = 8y/8

3 = y

y = 3

Answer:

I believe the unit rate for this is 0.1 pounds per day

Step-by-step explanation:

you need to divide 1/2 and 5 to get your answer

Answer:

5 years

Step-by-step explanation:

Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.

28 ft. = 8 ft. + 4x    ... subtract both sides by 8

20 ft. = 4x   ... divide both sides by 4

5 years = x

Therefore, it will take 5 years from the initial purchase for the tree to be 28ft tall.

i dont have time to do it right now but here is the percent error equation!

Answer:

-2 83/100       :))))))))))))))

Answer:

I want to say it's -69/100

Step-by-step explanation:

Hope that helps!

Answer:

20 diamonds

step-by-step explanation:

2700-200=2500 divided by 125=20

so 20 diamonds

Answer:

-40

Step-by-step explanation:

-35+-5

-35-5

=-40

P.S. You said quotient, a quotient is the answer to a division problem.

Hope this helped! :)

Answer:

D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D

Answer:

C.

Step-by-step explanation:

Answer:

7 %   $94.50(SALES TAX)   Question only asks for the SALES TAX THOUGH

Step-by-step explanation:

$1350.00 x .07 =$94.50

$94.50 is your sales tax on B

$1444.50 (total) x 15% gratuity  is $1444.50 x .15 = $216.68

$1444.50 + $216.68 =$1661.18  

$1661.18 x .02 =$33.22

$1661.18 + $33.22 = $1694.40 Total cost of your computer repair

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

Step-by-step explanation:

Given the equations

[tex]-5x-18y=-28[/tex]

[tex]-10x+9y=-11[/tex]

solving the system of the equation by elimination method

[tex]\begin{bmatrix}-5x-18y=-28\\ -10x+9y=-11\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-5x-18y=-28\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-10x-36y=-56[/tex]

[tex]\begin{bmatrix}-10x-36y=-56\\ -10x+9y=-11\end{bmatrix}[/tex]

[tex]-10x+9y=-11[/tex]

[tex]-[/tex]

[tex]\underline{-10x-36y=-56}[/tex]

[tex]45y=45[/tex]

[tex]\begin{bmatrix}-10x-36y=-56\\ 45y=45\end{bmatrix}[/tex]

solve 45y=5 for y:

[tex]45y=45[/tex]

[tex]\frac{45y}{45}=\frac{45}{45}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}-10x-36y=-56\mathrm{\:plug\:in\:}y=1[/tex]

solve [tex]-10x-36\cdot \:1=-56[/tex] for x:

[tex]-10x-36\cdot \:1=-56[/tex]

[tex]-10x-36=-56[/tex]

Add 36 to both sides

[tex]-10x-36+36=-56+36[/tex]

[tex]-10x=-20[/tex]

[tex]\frac{-10x}{-10}=\frac{-20}{-10}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

Answer:

YES

Step-by-step explanation:

Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.

Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.

Substitute ⁵/4 in y = kx

We would have:

y = ⁵/4x.

Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.

Let's plug in (16, 20) into y = ⁵/4x.

Thus substitute x = 16 and y = 20, we have:

[tex] 20 = \frac{5}{4}(16) [/trex]

[tex] 20 = (5)(4) [/trex]

[tex] 20 = 20 [/trex]

It makes the equation true. Therefore, the point, (16, 20) is a point on line l.

Answer:

112 ft square

Step-by-step explanation:

Perimeter=2l+2w

l=w+6

Perimeter=2(w+6)+2w

44=2w+12+2w

44=4w+12

32=4w

8=w

l=8+6

l=14

area=lw

area=14x8

area=112 ft square

Answer:

43.5

Step-by-step explanation:

174/4= 43.5

Answer:

2x + 1 = y

Step-by-step explanation:

x = Kim

y = Scott's time.

Answer:

20 inches by 28 inches

Step-by-step explanation:

The current size of the picture is 5 inches by 7 inches

If we want to enlarge the picture by a factor of 4, the perimeter will also increase by the factor of 4.

New dimension = 4(old dimensions)

= 4(5 inches by 7 inches)

= 20 inches by 28 inches

Hence, the size of the enlarged picture is 20 inches by 28 inches.

Answer:

8820

Step-by-step explanation:

Answer:

245 yards = 8820 inches

Step-by-step explanation:

multiply the length value by 36

Answer:

9

Step-by-step explanation:

Factors of 18 : 1,2,3,6,9,18

Factors of 36: 1,2,3,4,6,9...

Factors of 81: 1,3,9...

Answer:

A. 100 degrees

Step-by-step explanation:

Given:

[tex] m\angle ABC = 3y + 5 [/tex]

[tex] m\angle ADC = 5y - 45 [/tex]

Required:

[tex] m\angle BCD [/tex]

SOLUTION:

✍️First, create an equation that you will use to find the value of y.

[tex] m\angle ABC = m\angle ADC [/tex] (opposite angles of a parallelogram are congruent to each other)

[tex] 3y + 5 = 5y - 45 [/tex] (substitution)

Collect like terms

[tex] 3y - 5y = -5 - 45 [/tex]

[tex] -2y = -50 [/tex]

Divide both sides by -2

[tex] y = 25 [/tex]

✍️Next, find [tex] m\angle ABC [/tex] and [tex] m\angle ADC [/tex].

[tex] m\angle ABC = 3y + 5 [/tex]

Plug in the value of y

[tex] m\angle ABC = 3(25) + 5 = 75 + 5 = 80 [/tex]

[tex] m\angle ADC = 5y - 45 [/tex]

Plug in the value of y

[tex] m\angle ADC = 5(25) - 45 = 125 - 45 = 80 [/tex]

✍️Next, find [tex] m\angle BCD [/tex].

[tex] m\angle BCD + m\angle ADC = 180 [/tex] (consecutive angles in a parallelogram are supplementary)

[tex] m\angle BCD + 80 = 180 [/tex] (substitution)

Subtract 80 from each side

[tex] m\angle BCD = 180 - 80 [/tex]

✅[tex] m\angle BCD = 100 [/tex]

Answer:

m = 1

Step-by-step explanation:

rise over run

(y2-y1) / (x2- x1)

(14+9)/(7+16)

23/23 = 1

Answer:

b) y = 1,000x

If this incorrect sorry

Answer:

16in

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if you add one you get 15, and

Answer: 2.5 hours.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

5/4x-2=3/2x-4

5/4x-3/2x = -4+2

(multiply both sides by 4)

5x-6x=-16+8

-x=-8

(multiply by -1)

x=8

Answer:

C

Step-by-step explanation:

[tex]\frac{5x}{2} +\frac{7}{2} =\frac{3x}{4} +14\[/tex] isolate the terms with the variable x

[tex]\frac{5x}{2} -\frac{3x}{4} =14-\frac{7}{2}[/tex] get the same denominator and combine like terms

[tex]\frac{10x-3x}{4} = \frac{28-7}{2}[/tex] solve

[tex]\frac{7x}{4} =\frac{21}{2}[/tex] crossmultiply and solve for x

[tex]x=\frac{4*21}{7*2} =6[/tex] so is not the first option

try second

[tex]\frac{5x}{4} -9=\frac{3x}{2} -12[/tex] same steps as before

[tex]\frac{5x-6x}{4}=9-12\[/tex]

[tex]\frac{-x}{4} =\frac{-3}{1}[/tex]  so  x=12 not the second option

try third option

[tex]\frac{5x}{4} -2=\frac{3x}{2} -4[/tex]

[tex]\frac{5x-6x}{4} =2-4[/tex]

[tex]\frac{-x}{4} =\frac{-2}{1}[/tex] so x=8

Answer:

4

Step-by-step explanation:

2 / 1/2. Flip it. 2*2 which is 4

Hope this helps plz mark brainliest if correct :D