David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.

Answers

Answer 1

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

[tex]d =19\%[/tex]

The price (p) of the item is given as:

[tex]p = \$32[/tex]

So, the amount (A) paid before tax is calculated using:

[tex]A = p \times (1 - d)[/tex]

Substitute known values

[tex]A = \$32 \times (1 - 19\%)[/tex]

Express percentage as decimal

[tex]A = \$32 \times (1 - 0.19)[/tex]

Subtract 0.19 from 1

[tex]A = \$32 \times 0.81[/tex]

Multiply 32 and 0.81

[tex]A = \$25.92[/tex]

Hence, David will pay $25 and 92 cents for an item of $32, before tax

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Related Questions

Which is equivalent to 243 Superscript two-fifths?

3
6
9
12

Answers

Answer:

The answer is 9 ( C on edge)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

C on edge

I took the test

what is the greatest common factor for 228/252​

Answers

Answer:

i got 47/88

Step-by-step explanation:

Divide each number by two

f(x)=8x^3+125 find the zeros

Answers

Answer:

x = -5/2, (5+5i√3)/4, (5-5i√3)/4

1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631

Answers

Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

Find the inverse of f(x) = 1/2x + 3

Answers

The equation we have right now is basically y = 1/2x + 3. We can switch the x and y variables. Our new equation is: x = 1/2y + 3. Next, we solve for y.

Firstly, we subtract 3 from both sides. This gives us x - 3 = 1/2y. Next, we multiply both sides by 2 to isolate y. This gives us 2(x - 3) = 1/2y. Then, we have 2x - 6 = y.

The answer is f(x) = 2x - 6

Will give brainliest!

Answers

Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4

Calculate the amount of dextrose in 756 mL D10W

Answers

D10W has a concentration 10%

So

Dextrose amount=

[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]

[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]

[tex]\\ \sf\Rrightarrow 75.6ml[/tex]

Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?

Answers

Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

) f) 1 + cot²a = cosec²a​

Answers

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]

Another identity is:

[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]

Therefore:

[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]

Another identity:

[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]

Therefore:

[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]

Hence proved, this is proof by using identity helping to find the specific identity.

5. What are the solutions to the equation (x - 1)(x + 2) = -2?

Answers

I hope this helps. Comment if any doubt.

110 divided by 4 using area model.

Answers

Answer would be 28…..

The quotient of 110 divided by 4 is 27 with a remainder of 2.

To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.

Draw a rectangle to represent 110.

Divide the rectangle into four equal parts to represent dividing by 4.

Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.

Determine the quotient. Count the number of equal parts, which in this case is 27.

Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.

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There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets?

Answers

There are 450 stickers on the sheet

And 18000 on 40 sheets

Which of the following is the best definition of vertical angles?

Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.

Answers

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2 ​

Answers

Hope you could get an idea from here.

Doubt clarification - use comment section.

The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true

The equation is given as:

[tex]\frac pq = \frac qr[/tex]

Cross multiply

[tex]pr = q^2[/tex]

Rewrite as:

[tex]q^2 = pr[/tex]

Also, we have:

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]

Substitute [tex]q^2 = pr[/tex]

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]

Expand

[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]

Simplify

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]

Rewrite as:

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]

Substitute [tex]pr = q^2[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]

Divide q^6 by q^3

[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]

Rewrite the equation as:

[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]

Hence, the equation has been proved

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What is the length of DE?
А. 8
В. 7
С. 6
D. 5

Answers

I think your best shot is 6

How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?

Answers

Answer:

You would be able to afford 9 gallons of gas.

Step-by-step explanation:

34.83 divided by 3.87 is 9. Have a nice day!

easy one for you folks. show work.
who ate more?​

Answers

What is the question

Answer:

regan ate more than maggie

Pls answer these questions

Answers

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

Either b or d
Explanation

Domain and Range of a linear function

Answers

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

simplify 4 (5x+3)-4x

Answers

Answer:

16x + 12

Step-by-step explanation:

20x + 12 - 4x

20x - 4x = 16x

16x + 12

Answer: 15x + 12

Step-by-step explanation:

(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.

Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not​ work, does that mean that your result is​ incorrect? Explain.

Answers

Answer:

g=6

Step-by-step explanation:

6.4×6-1.4×6=

38.4-8.4=30

its true if it is not the result is incorrect

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50

Answers

Answer    g

Step-by-step explanation:

g

Answer:

don't know i tell true

Step-by-step explanation:

What is the answer?
To this question

Answers

Answer:

y = 3.2

Step-by-step explanation:

8/y = 10/4

10y = 32

y = 32 / 10

y = 3.2

The fraction Three-tenths is the difference of Eight-tenths and which fraction?

Answers

Answer:

[tex]\frac{11}{10}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]

so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]

since all the denominators are the same we simply add the numerators to find x

x would be 8 +3 = 11

so [tex]\frac{11}{10}[/tex] is the answer

4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Answer: many solutions

Step-by-step explanation:

What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.

Answers

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(6-8)

m=(2+4)/-2

m=6/-2

m=-3

Your brother is 15 your age. Your sister is 7 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.

Answers

Answer:

a = 19a = 15 + b

Step-by-step explanation:

Given:

a = b + 15 (a = my age; b = my brother's age)s = b + 7 (a = my age; s = my sister's age)s = 11 (s = my sister's age)

s = b + 7

=> 11 = b + 7

=> b = 4

a = 15 + b

=> a = 15 + 4

=> a = 19

Therefore, the equation is 'a = 15 + 4' and the answer is 'a = 19'.

Hoped this helped.

I apologize if this was incorrect or un-helpful.

My age be xBrothers age is y+15Sister's age be z

So

z=y+7

As z=11

[tex]\\ \rm\Rrightarrow y+7=11[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

My age=

x=y+15x=4+15=19years

Select the correct answer.
Which of the four "progressive amendments" gave women the right to vote?

A.
Sixteenth
B.
Seventeenth
C.
Eighteenth
D.
Nineteenth

Answers

The 19th amendment gave The rights to woman to vote

A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?

B. In two or more complete sentences, justify your answer to A.

Answers

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14

Answers

Answer: y=-6

Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6
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