Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?

Answers

Answer 1

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46


Related Questions

Brainliest for the correct answer 20 points!!!

Answers

Answer:

y = -3/2x + 3

Step-by-step explanation:

Answer:

y= 3 - 2x

Step-by-step explanation:

What is the answer to 1/2 divided by 8/7

Answers

7/16

Steps:

[tex]\frac{1}{2} /\frac{8}{7} =\frac{1}{2} *\frac{7}{8} =\frac{7}{16}[/tex]

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
A - 108
B - 36
C - 12
D - 112

Answers

Answer:

your answer would be c hope this helps and if its wrong lmk

Step-by-step explanation:

C I got it right good luck

which one is the correct answer?

Answers

Answer:

D

Step-by-step explanation:

It says not similar

Please help me please

Answers

Im blind SKDJFJNEDKODNANSRNFIS

Answer:

I think this AB would equal 12! Let me know if its right or wrong :3

Step-by-step explanation:

Six increased by 1-3 of a number is 11 . Find the number

Answers

Answer:

7 is the answer

Step-by-step explanation:

6 + 1 - 3 of a number = 11

1 - 3 = -2

6 - 2 = 4

so 4 + 7 is 11

Hope it helps!

Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...

Answers

Answer:

542

Step-by-step explanation:

-3, 2, 7, 12

-3 + x = 2 x = 5

2 + x = 7 x = 5

7 + x = 12 x = 5

If you want to find the 3rd term in the sequence and you start with the first number, then you do this:

-3 + (2 * 5) = -3 + (10) = 7

The same goes for the 110th term:

-3 + (109 * 5) = -3 + (545) = 542

The formula to find the nth term is:

f(n) = n(0) + (n-1) * 5

Suppose n(0) = -3 then

f(110) = -3 + {(110-1) * 5}

f(110) = -3 + {(109) * 5}

f(110) = -3 + (545) = 542

You can simplyfy f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (5n-5)

f(n) = n(0) + 5n - 5

f(110) = -3 + (5 * 110) - 5

f(110) = -3 -5 + (550)

f(110) = - 8 + 550

f(110) = 542

HELP ASAP!!
geometry

Answers

Answer:

Step-by-step explanation:

Y+6=3y-30

Subtract y from the left

6=2y-30

Add 30 to both sides

36=2y

Divide by 2

18=y

2x+29=4x-47

Subtract 2x

29=2x-47

Add 47

76=2x

Divide by 2

38=x

Which expression is NOT equivalent to 56x + 28?
1- 4 ( 14x + 7)
2- 7 (8x+4)
3- (28x + 14) 2
4- (7x + 3) 8
PLEASE ANSWER FAST MY BDAY IS TOMORROW AND IF I DONT PASS THIS TEST I WONT GET MY RAMEN SO PLEASE

Answers

Answer:

the answer is D. [tex](7x + 3) 8[/tex]

Step-by-step explanation:

hope this helps :)

what slope of line passess through 4,1 and -2,-4

Answers

Answer:

A slope..... I can't do math

Step-by-step explanation:

Please help! Based on the picture above, select the correct angle pair for 3 and 5

Answers

i believe it would be between A and E but i think it’s A maybeee

Answer:

it e

Step-by-step explanation:

thats a tranversal and alternative exterior angles are angles on the opposite sides if a tranversal.

Find the measure of the unknown angle

Answers

Answer:

97 degrees

Step-by-step explanation:

180 - 83 + 97

Answer:

∠? =97°

Step-by-step explanation:

because the 2 lines are paralel the 83° angle and the missing angle are suplementary angles so they add up to 180°

?= 180-83=97°

what is the best answer for the equation -15=-6r+r

Answers

Answer:

r = 3

Step-by-step explanation:

First, add r to -6r, then divide both sides by -5.

~theLocoCoco

find the surface area of this cylinder using pie.

Answers

Answer:

Thus the surface area of this cylinder involving pie is:

[tex]A=750\pi[/tex] ft²

or

[tex]A\approx 2356.19[/tex] ft²

Step-by-step explanation:

Given

radius = r = 10 ft

height = h = 15 ft

The surface area of a cylinder formula is:

[tex]A=2\pi rh+2\pi r^2[/tex]

substituting the value = r = 10 ft and h = 15 ft

[tex]\:A=\left(2\times \:\pi \:\times \:15\times 10\right)+\left(2\times \pi \:\times \:15^2\right)\:[/tex]

[tex]A=750\pi[/tex] ft²

Thus the surface area of this cylinder involving pie is:

[tex]A=750\pi[/tex] ft²

or

[tex]A\approx 2356.19[/tex] ft²

Which will help you when you file a claim for home insurance?
A. home loan
B. home budget
C. home inventory

Answers

Answer:

C. Home inventory

Step-by-step explanation:

Which of the following functions is quadratic?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Is 0 a real number? Why or why not

Answers

Answer:

The number 0 is both real and imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.

Step-by-step explanation:

so i would say no but thats for you to decide

Yes even though it has no effect

can somebody help me please?

Answers

Answer:

Domain = [tex](-\infty,6)\;\cup\;(6,\infty)[/tex]

Range = [tex](-\infty,1)\;\cup\;(1,\infty)[/tex]

vertical asymptote is at [tex]x=6[/tex]

Step-by-step explanation:

Domain is all the x values, with an asymptote, it is just a line that approaches a number but never reaches it. The vertical asymptote if you look at x, the lines look like the come from infinity on the left and right, try to reach 6 but can't.

So the interval notation for this is the union of all the numbers from negative infinity up to 6 but not including 6, and all the numbers from positive infinity up to 6 but not including 6.

Range is all the y values, with an asymptote, it approaches a number but never reaches it. The horizontal asymptote if you look at y, the lines look like the come from infinity on the top and bottom, try to reach 1 but can't.

So the interval notation for this is the union of all the numbers from negative infinity up to 1 but not including 1, and all the numbers from positive infinity up to 1 but not including 1.

e owner of a skatepark wants to increase her entry fee of $5 Buy in increments of $0.50 currently the skate park has an average of 500 paying customers per week the equation (500 - 25x)( $5 + $0.50x) give me the estimated weekly income where X is the number of $0.50 entry fee price increases if the entry fee is increased to $7.50 what will be the expected average number of paying customers each week

Answers

Answer:

375 paying customers

Step-by-step explanation:

First you need to find how much the fee was increased from $5.00 to $7.50

7.5 - 5 = 2.5

Then how many times the pay increase goes into that number to find your X value

2.5/.5 = 5

Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1

500 - 25(1) = 475

500 - 25(2) = 450

500 - 25(3) = 425

500 - 25(4) = 400

500 - 25 (5) = 375

Answer:

375

Step-by-step explanation:

Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.

How many t-shirts did Sandra purchase?

(this is two-step equation math)

Answers

Answer:3

Step-by-step explanation: it’s exactly 3

Sandra purchased three t-shirts

65-23=42

42/3=14

PLS HELP ME 5.7 + (3z + 0.3)

Answers

Answer:

3z + 6

Step-by-step explanation:

5.7 + (3z + 0.3) =

= 5.7 + 3z + 0.3

= 3z + 6

Find $m\angle LKM$ .

Answers

Answer:I need a picture or numbers to answer

Step-by-step explanation:

HURRY I NEED HELP ASAP question: The name used to represent 1,000 liters is the
Answers : kiloliter, centiliter, or milliliter.

Answers

Answer:

KILOLITER

Step-by-step explanation:

Answer milliletres

Step-by-step explanation:

Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly.

Answers

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]

As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]

So, [tex]\frac{dy}{dx}>0[/tex]

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]

As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]

So, [tex]\frac{dy}{dx}<0[/tex]

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.

Hence, option (C) is correct.

The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.

We have to determine, Which of the following equations could be the equation to represent the given graph.

According to the question,

The given options of the possible equation for the graph are as follows:

[tex](A)y = 2(\frac{3}{2})^x[/tex] [tex](B)y = -2(\frac{3}{2})^{-x}[/tex] [tex](C)y = 2(\frac{2}{3})^{x}[/tex] [tex](D)y = -2(\frac{2}{3})^{-x}[/tex]

The given graph is decreasing and at x = 0, y = 2.

Then,

First checking the value of the given options for x = 0.

[tex](A)y = 2(\frac{3}{2})^x = 2(\frac{3}{2})^0 = 2 \times1 = 2[/tex] [tex](B)y = -2(\frac{3}{2})^{-x} = (A)y = -2(\frac{3}{2})^{-0} = -2 \times 1 = -2 (not \ possible)[/tex][tex](C)y = 2(\frac{2}{3})^x = 2(\frac{2}{3})^0 = 2 \times1 = 2[/tex] [tex](D)y = -2(\frac{2}{3})^{-x} = -2(\frac{2}{3})^{-0} = -2 \times1 = -2 (not \ possible)[/tex]

For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.

Therefore,

To check the nature (increasing or decreasing) of the given equation by differentiating it.

For function A;

[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]

Therefore, The function in option A  is increasing function.

For function c;

[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]

Therefore, The function in option c is decreasing function.

The given graph is decreasing, so, the function c represents the given graph decreasing.

Hence, option (C) is correct.

To know more about the Graphs click the link given below.

https://brainly.com/question/16351335

What is (x+234)(x+8)=10x+2

Solve for x and justify your answer
First one will get brainless if right

Answers

Answer:

x = -8.4 and -223.6

Step-by-step explanation:

I 'foiled' and simplied, then graphed; x-intercepts (listed above) were the x-intercepts

Charlie weighs 5 times his little sister Tali. If the total weight of both children is at 132 pounds, how much does each child weigh?

Answers

Answer:

5x+x=132

Step-by-step explanation:

132/6=22

22*5=110

Charlie weighs 110 pounds and Tali weighs 22 pounds.

please help its math!!! will give brainly and more points if correct please I need help

The equations of four lines are given. Identify which lines are perpendicular.


Line 1: y+8x=−5


Line 2: x+16y=−5


Line 3: y=−6x−7


Line 4: y+3=18(x−1)


Lines 2 and 3 are perpendicular.

Lines 1 and 2 are perpendicular.

All four lines are perpendicular.

Lines 1 and 4 are perpendicular.

Answers

Answer:

None of the options match

Step-by-step explanation:

First let's check option 1: lines 2 and 3.

line 2 in mx+b form: y=-1/16x -5

line 3, already in mx+b form: y=-6x-7

if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.

now for the 2nd option: lines 1 and 2.

line 1 in mx+b form: y=-8x-5

line 2 in mx+b form: y=-1/16x-5

Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.

For the 3rd option: all lines

this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.

Lastly, 1 and 4.

line 1 in mx+b form: y=-8x-5

line 4 --> y+3=18x-18 --> y=18x-21

This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.

To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...

Answer:

D

Step-by-step explanation:

We have the four lines:

[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]

Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.

So, let’s determine the slope of each line.

For Line 1, we can rewrite our equation as:

[tex]y=-8x-5[/tex]

So, the slope of Line 1 is -8.

We can rewrite Line 2 as:

[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]

So, the slope of Line 2 is -6.

The slope of Line 3 is also -6.

And the slope of Line 4 is 1/8.

So, the slopes of perpendicular lines must be negative reciprocals.

The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.

Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.

For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.

So, they will instead of parallel instead of perpendicular.

And Line 1 is perpendicular only to Line 4, and no other line.

Therefore, our answer is D.

A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the​ carpet?

Answers

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

The length of the carpet is (x + 67) inches

The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

2(length + width) = 194

→ Divide both sides by 2

length + width = 97

→ Substitute the value of the length and width in the equation above

x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

2x = 30

→ Divide both sides by 2

x = 15

∵ x represents the width of the carpet

The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

The length of the carpet is 82 inches

The dimensions of the carpet are 15 inches and 82 inches

what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :

Answers

Answer:

10x^2+7x+1

Step-by-step explanation:

Let's simplify this step-by-step.

3x^2+5x−9+7x^2+2x+10

=3x^2+5x+−9+7^x2+2x+10

After, combine like terms. (Simplify the expression)

Here is a step-by-step row.

= 3x^2+5x+-9+7x^2+2x+10

= (3x^2+7x^2)+(5x+2x)+(-9+10)

= 10x^2+7x+1

That is the most simplified form, I hope this helped!

I also adore your profile picture, it's so aesthetic ♡

..you watch anime? if so, me too! here's the answer, 18 :))

step-by-step explanation:

3 + 5= 8

8 - 9= -1

-1 + 7= 6

6 + 2= 8

8 + 10= 18

your answer is 18!!

A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.

Answers

Answer:

the number is 4

Step-by-step explanation:

we can write this as

x + 15 = 19

now we transpose

x= 19-15

x= 4

Other Questions
convert 27/841/1841/15and 29/12into Mixed numbers show steps please For another question, Nancy needs her to mark the numbers 1 1/3 and -1 1/3 on the number line. How many spaces does she need between 1 and 2, and between -1 and -2, so that she can mark 1 1/3 and -1 1/3 ?PLS! HELP!! You come across a talk show called "Space Walk," where you see the reporter in conversation with a famous astronaut who has just returned from an expedition. You notice the reporter questioning the astronaut about her life, her journey as an astronaut, and future plans. Which format is the talk show following? O A. breaking news OB. public service announcement O c. feature story OD. documentary 21)John Knox is MOST John Knox is MOST associated with which of these?A)founding the Anglican ChurchB)heading the Council of Trentending the Protestant ReformationD)founding the Presbyterian denomination Which component is soluble in water expand the number 0.398 Under this system, separate types of government are created and draw their powers from an independent source, usually a constitution. Neither type has the formal power to create or eliminate the other. This statement describes a system. It takes much less energy to change the temperature of oil than it does to change the temperature of water Evaluate 3x 4 when x=7. The value of the expression is What is an observation you have made about the weather in your area Use all four operations and at least one exponent to write an expression that has a value of 100. Choose the correct one Which example shows a media factor of violence?A: carrying a weaponB: joining a gangC: playing video gamesD: doing drugs(I personally think it's C but I'm not 100% positive.) HELP WILL GIVE BRAIN As businesses in Britain began to loose money due to the colonists' boycotted, British store owners demanded that Parliament repeal the Stamp Act. To repeal is to ____________________.A.establish a businessb.boycott a storec.petition a business ownerd.cancel a law or act HELP ASAP FAST PLEASE I NEED HELPMechanical energy is defined asQuestion 1 options:the energy of motion and position, which is represented by the formula KE + PE = MEpotential energyEnergy of motionEnergy of machines and tools A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume What is dialstion foodprints Evaluate the given expression for x=-14. -3x-5 A major-league baseball diamond is shaped like a square with side lengths of 30 yards, as shown in the diagram.