A backpack is on sale for 30% off. If the sale price is $15.75, what is the original price to the nearest cent?

Answers

Answer 1

Answer:

$22.50

Step-by-step explanation:

As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5

We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.


Related Questions

The graph shows the function f(x) = 2^x
What is the value of x when f(x) = 4?
O A. 2
O B. 3
O C. 1
O D.O

Answers

Answer:

2

Step-by-step explanation:

Can anyone help me with this?

Answers

Step-by-step explanation:

for a it's y=12x+60

for b it's y=1x+21

for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.

for d it would be y=20x+20

it would be ethier a or d


Anthony pald $273.20 for 4 new tires. What was the cost of each tire in dollars and cents?
F) $269.20
G) $6.83
H) $53.40
J) $68.30

Answers

Answer: J) $68.30

Step-by-step explanation:

$273.2/4=$68.3 for each tire

Answer:

J) $68.30

Step-by-step explanation:

Because there are 4 tyres, you split $273.20 into 4 parts, which is $68.30. I hope this helps!

What's the reciprocal of -2?

Answers

Answer:

-1/2

Step-by-step explanation:

Mario’s speed while riding his bike is shown in the graph.

Answers

Answer:

99fht

Step-by-step explanation:

Could u guys help me plz?

Answers

9514 1404 393

Answer:

84.7 units²118.125 in³

Step-by-step explanation:

The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...

  A = bh = 7(6.1) = 42.7 . . . square units

The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...

  P = 7+7+7 = 21

and the lateral surface area is ...

  LA = PL = 21·2 = 42

Then the total surface area of the prism is ...

   total area = A + LA = 42.7 +42 = 84.7 . . . square units

__

The volume of a rectangular prism is given by ...

  V = Bh

where B is the area of the base, and h is the height. Your prism has a volume of ...

  V = (26.25 in²)(4.5 in) = 118.125 in³

What is this? Solve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

STEP 1: Simplify 3(x+1).

[tex]3x+3=-2(x-1)+6[/tex]

STEP 2: Simplify −2(x−1)+6.

[tex]3x+3=-2x+8[/tex]

STEP 3: Move all terms containing x to the left side of the equation.

[tex]5x+3=8[/tex]

STEP 4: Move all terms not containing x to the right side of the equation.

[tex]5x=5[/tex]

STEP 5: Divide each term by 5 and simplify.

[tex]x=1[/tex]

I'm so lost in trigonometry please help??​

Answers

Answer:

The ladder will go approximately 35.71 ft up the building.

Step-by-step explanation:

The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.

It means the ladder will form a right triangle with the building with the following dimensions:

base  =  35  f t hypotenuse  =  50  f t height = ?

Using the Pythagorean Theorem to determine the height,

[tex]a^2+b^2=c^2[/tex]

Here,

a is the heightb is the basec is the hypotenuse

Substitute the given values into the equation to determine the height:

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+\left(35\right)^2=\left(50\right)^2[/tex]

[tex]a^2+1225=2500[/tex]

[tex]a^2=1275[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]a=\sqrt{1275},\:a=-\sqrt{1275}[/tex]

[tex]a\:=\:35.71,\:\:\:a\:=\:-35.71[/tex]

We know that height can not be negative. Thus,

[tex]a=35.71[/tex] ft

Therefore, the ladder will go approximately 35.71 ft up the building.

this is 3 question help please

Answers

3 should be D
11 should be D
13 should be A

When making a batch of cookies, the recipe calls for 1 cup of sugar and 2 cups of flour. What is the ratio of sugar to flour in the cookies?

Answers

Answer:

5243 65 A

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

1/2

Which expression is equivalent to 5^10 times 5^5?
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Awnser D is already ruled out

Answers

I believe the answer is A


I NEED help pls i will give branliest sry don’t kn how to spell it :p

Answers

Answer: 58°.

Step-by-step explanation: From what is given, we see that the other three angles are 122°, 90°, and 90°. Since we know that the sum of the interior angles of a quadrilateral adds up to 360°, we just add up 122, 90, and 90 and subtract the sum from 360°. 122 + 90 + 90 = 302. 360 - 302 = 58. Thus, the answer is 58°.

please help asap !!!!

Answers

Your answer is C,105

Josiah's family took a road trip to Mount Rushmore. Josiah fell asleep after they had travelled 174 miles. If the total length of the trip was 600 miles, what percentage of the total trip had they travelled when Josiah fell asleep?

Answers

Answer:

29

Step-by-step explanation:

your welcome

please, i really need help

Answers

(2,6) it’s where they cross. If there isn’t a graph make the two equations equal to each other to find x then plug in x to either equation to find y

Find the slope of 1,3 and 1,-2

Answers

Answer:

M=0

Step-by-step explanation:

i did math

What is 347,200,000 in scientific notation

Answers

Answer:3.472*10^8

Step-by-step explanation:

                         

Answer: 3.472 × 10 8 squared. ( 8 is in place of 2 when it comes to 2 squared!)

HOPE THIS HELPED, IF NOT SORRY!!

please help .. write an exponential growth function, and then describe a real-world situation that the function could represent. do the same for an exponential decay function. share your
functions and the situations they represent.

exponential growth rate (equation) :

what real-world situation could your function represent :

exponential decay function (equation) :

what real-world situation could your function represent :

Answers

Answer:

Exponential functions are often used to represent real-world applications, such as bacterial growth/decay, population growth/decline, and compound interest

Answer:

Ben has an ant farm of 500 and unfortunately, a virus has broken out the population of ants decreased by 35% each day.

Step-by-step explanation:

Does the data for oliva's pup show a function? Why or why not

Answers

Answer:

Yes, it does show a function because for every input(weeks), there is one output(weight).

Step-by-step explanation:

A function is something that takes in an input and gives you one output.

Based off the data, there is only one output for each input; therefore, the data is a function.

The teachers need to buy eggs and plastic spoons for the egg race event. The teachers want to have 1 egg for every spoon. The eggs are sold in packs of 6 , and the spoons are sold in packs of 10 . If the teachers want to buy exactly 30 spoons and have no leftovers, they need to buy

Answers

Answer:

5 packs of eggs

3 packs of spoons

Step-by-step explanation:

Eggs are sold in packs of 6

Spoons are sold in packs of 10

The teachers want to have 1 egg for every spoon

Find the Lowest common multiple of 6 and 10

6 = 12, 18, 24, 30, 36, 42, 48, 54, 60

10 = 20, 30, 40, 50, 60

The lowest common multiple of 6 and 10 is 30

If the teachers want to buy exactly 30 spoons and have no leftovers

Eggs are sold in packs of 6

Number of packs needed = 30 /6

= 5 packs

Spoons are sold in packs of 10

Number of packs needed = 30/10

= 3 packs

The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers

please help!! i need this done before tonight

Answers

Answer:

73.3

Step-by-step explanation:

cos 39=(57/x)

x=57/cos 39

= 73.345=73.3

cos x =adjacent/hypotenuse

adjacent is side where angle is subtended

hypotenuse is the longest side of the triangle

Im building my first gaming pc soon, any recommendations/tips?

Answers

Answer:

get a nvidia 2600 rtx it a good graphics card and then get a i7 its a good cpu

Step-by-step explanation:

Solve 6.1−0.3≥c+1.
please help me

Answers

Answer:

c≤  24/25

Step-by-step explanation:

"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10

    61     3      

 (—— -  ——) -  (c + 1)  ≥ 0    then simplify 61/10

  10    10    

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

    61 - (3)                   29

————————  =  ——

     10                          5

29    

 —— -  (c + 1)  ≥ 0  

 5    

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

            c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

              1            5      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Rewrite the whole as a fraction using  5  as the denominator :

                         c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

                             1            5    

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

                              29 - ((c+1) • 5)     24 - 5c

————————————————  =  ———————

                                          5                5

    24 - 5c

 ———————  ≥ 0  

      5    

 

Multiply both sides by  5  

5.2    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     5c-24  ≤ 0

5.3    Divide both sides by  5  

     c-(24/5)  ≤ 0

5.4      Add  24/5  to both sides

            c ≤ 24/5

Answer:

wehj

Step-by-step explanation:

John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calculate the percent error, but he thinks he may have made a mistake. Are his calculations below correct? Why or why not?

Answers

Answer:

10%

Step-by-step explanation:

Answer: John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.

Step-by-step explanation:

Question 1 An online music store is offering a promotion. When you spend $35 or more, you receive 3 songs for free. You buy an album for $12. Identify an inequality that represents how much more money *m* you must spend to receive the three free songs.

Answers

Answer:

you need to spend 23 Dollars

What appears to be the range of the part of the function shown on the grid?

Answers

Answer:

(-5,2)

Step-by-step explanation:

Answer:

x ≥ −5

Step-by-step explanation:

I'm pretty sure this is the answer.

if it isn't, I'm sorry for disappointing you.

Write the equation for (3,6) in a point-slope form

Answers

Answer  )Step-by-step explanation:

y

6

=

3

(x

3)

Answer:

y - 6 = m(x - 3)

Step-by-step explanation:

Use the given point (3, 6)

But slope is not known, need it to be known or the second point to find it

y - 6 = m(x - 3)

1. (x + 2) < −3(x + 4)

2. −3x + 3 < 6

Answers

number 1:

[tex]x>\frac{-7}{2}[/tex]

number 2:

[tex]x>-1[/tex]

A local school sold 230 tickets for their performance of Hamlet. They sold a combination of regular tickets and student tickets. The regular tickets sold for $8 each and the student tickets sold for $5. That night they collected $1522 in ticket sales. Write an equation that describes each piece of information. Let "R" represent the number of regular tickets and "S" represent the number of Student tickets. (Hint: Create a system of equations.)

Answers

Answer:

R+S=230-------------1

8R+5S=1522--------2

Step-by-step explanation:

Step one:

given data

let regular be R

and Students be S

total tickets =230

cost of regular = $8 each

cost of students tickets = $5 each

total cost of the both tickets = $1522

Required

The systems of equations

1. for the total number of tickets

R+S=230-------------1

2. For the total cost

8R+5S=1522--------2

Hence the systems of equation for the situation is

R+S=230-------------1

8R+5S=1522--------2

Ashley's older brother, Jamaal, is planning to ride his bicycle from Los Angeles to Washington D.C., a distance of 2,668 miles, in two months. Jamaal has decided that he will ride for three days and then rest on the fourth day. If he maintains this plan, and rides on 45 of the 60 days, what is the minimum number of miles that Jamaal must ride each day with his new plan?

Answers

Answer:

60 miles

Step-by-step explanation:

This means the number of days he will ride is

45 days

Hence, the minimum number of miles that Jamaal must ride each day with his new plan is calculated as:

Total number of miles/Number of days

= 2668 miles /45 days

= 59.288888889 miles

Approximately to the nearest whole number = 60 miles

Hence, the minimum number of miles Jamal must ride each day is 60 miles

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