A sporting goods store is having a sale in which all sleeping bags are discounted by 20%. Priya has a coupon for $5 off the regular price of a sleeping bag. The store first applies this coupon and then takes 20% off the reduced price. If Priya pays $34.40 for the sleeping bag, what was the original price, x, before the sale and without the coupon?
Answers
the original price was "x", which oddly enough is the 100%.
now, let's pluck out of "x" 5 bucks, so that makes it "x-5", that's our new adjusted 100%, from which the lady at the counter is happy to apply a 20% discount. Now, if the lady discounts 20% off of that "x-5" amount, what Priya is really paying for the sleeping bag is just 100% - 20% = 80%, and we happen to know that that 80% was really $34.40.
now, if "x - 5" is the 100%, and we know that 34.40 is the 80%, what the heck is "x"?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x-5 & 100\\ 34.40& 80 \end{array} \implies \cfrac{x-5}{34.40}~~=~~\cfrac{100}{80} \implies \cfrac{ x-5 }{ 34.40 } ~~=~~ \cfrac{ 5 }{ 4 } \\\\\\ 4x-20=172\implies 4x=192\implies x=\cfrac{192}{4}\implies x=48\)
Related Questions
Pls help me. I will do whatever
Answers
Answer:
1. yes
2. yes
3. no
4. no
5. yes
Step-by-step explanation:
Its the exact same thing as functions and I learned about those recently
Emanuel and three of his friends go out to dinner. Their total bill at the end of the meal is $255.38. Since their food was not cooked correctly, they receive a 20% discount. If they pay an 11% tax on their meal, how much did each person pay for dinner if they decide to split the check equally among them?
Answers
Answer:
Step-by-step explanation:
Multiply 255.38 times 0.20 (20%). You get 51.076. Subtract 51.076 from 255.38. You get 204.304. Multiply this by 0.11 (11%). You get 22.47344. Add this to 204.304. You end with 226.77744. Divide this by 4. You get 56.69436 or $56.69 a piece.
find the value of x.
Answers
Answer:
#7 is x = 51
#8 is x = 9
Step-by-step explanation:
#7 walk-through
35 + 2x + 16 + 4x + 3 = 360
35 + 16 + 3 + 2x + 4x = 360
54 + 6x = 360
6x = 306
x = 51
#8 walk-through
6x + 2 = 56
6x = 54
x = 9
The value of x=:
7. x=51
8. x=9
Match the following vocabulary words to their definitions.
1 the position of a digit in a number, which determines its value. place value
2.a metric unit of capacity. meter
3.number formed by raising ten to a power. mass
4.measurement of the pull of gravity on an object. liter
5.amount of matter in a body or object. metric system
6.the result of dividing two numbers. number line
7.a system of measurement based on the number ten. weight
8.a metric unit of length. power of ten
9.a line that graphically represents all numbers. quotient
Answers
Answer:
1: place value
2: liter
3: power of 10
5: mass
6: quotient
7: metric system
8: meter
9: the number line
im pretty sure this is correct :) use your brain :)
Graph y=2x−7y
Please help I am struggling whoever helps me with the correct answer I will mark "Brainlyist"
Answers
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Please answer the bottom question please (the cylinder question)! The first one has been answered already.
Answers
Answer:7,065
Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14
Can anyone plz explain how to get the answer to this. I don't get it.
Answers
3/12 or 1/4
Step-by-step explanation:
|x/4 + 1/3| = 7/12
Convert the fractions to a common denominator of 12
1/3 = 4/12
x/4 = x/12
|x/12 + 4/12| = 7/12
x = 7/12 - 4/12
x = 3/12 or 1/4
So, if I have 30 slides to do, and seven days to do them, how many slides will I do each day?
Answers
Answer: Roughly 4.3 (You would want to do 5 a day, which will make you not need to work the seventh day, if the answer is even.)
Step-by-step explanation:
30 (slides) divided by 7 (days) = 4.28571... = round up to 4.3 or 5
Inverse Functions Question:
Find the inverse for f(x)= 6x+15
Answers
Answer:
attached pic
Step-by-step explanation:
Answer: Finding the Inverse of a Function
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Step-by-step explanation:
you will get 50 points please help me
Set A) Calculate the positive and negative values to solve the problems.
1) Jill owes $4 to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?
2) Joey owes $4 to 4 different friends. How much money does he owe altogether?
3) What is the product of -7 and -6?
4) The total bill at a restaurant was $49 to be split evenly among 7 friends. How much money did each friend owe?
5) How much is -81 divided by 9?
6) How much is -100 divided by -10?
7) A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
8) What is the product of -12 and -13?
9) How much is -16 times 4?
10) What is the quotient when -45 is divided by -9?
Set B) Write an equation for each word problem. Then solve the equation
1) What number is 12 less than 35?
Equation: n = 35- 12
Solution: n = 23
2) What number added to 23 equals 41?
Equation:
Solution:
3) What number less 29 is 61?
Equation:
Solution :
4) What number added to 36 equals 53?
Equation:
Solution:
5) What number added to 19 equals 43?
Equation :
Solution:
6) What number divided by 4 equals 12?
Equation:
Solution:
7) What number times 12 equals 96?
Equation:
Solution:
8) What number divided by 8 equals 11?
Equation:
Solution :
9) What number times 19 equals 190?
Equation:
Solution:
10) What number divided into 42 equals 6?
Equation:
Solution:
Answers
Step-by-step explanation:
Set A:
Jill owes $12 altogether. ($4 + $4 + $4 = $12)
Positive values: 4, 4, 4
Negative values: None
Joey owes $16 altogether. ($4 + $4 + $4 + $4 = $16)
Positive values: 4, 4, 4, 4
Negative values: None
The product of -7 and -6 is 42.
Positive values: None
Negative values: -7, -6
Each friend owes $7. ($49 ÷ 7 = $7)
Positive values: 49, 7
Negative values: None
-81 divided by 9 is -9.
Positive values: 81, 9
Negative values: -81, -9
-100 divided by -10 is 10.
Positive values: 100, 10
Negative values: -100, -10
The total amount owed by all 18 customers is $270. ($15 × 18 = $270)
Positive values: 18, 15
Negative values: None
The product of -12 and -13 is 156.
Positive values: 12, 13
Negative values: -12, -13
-16 times 4 is -64.
Positive values: 16, 4, 64
Negative values: -16, -4, -64
The quotient when -45 is divided by -9 is 5.
Positive values: 45, 9, 5
Negative values: -45, -9, -5
Set B:
n + 23 = 41
Equation: n = 41 - 23
Solution: n = 18
n - 29 = 61
Equation: n = 61 + 29
Solution: n = 90
x + 36 = 53
Equation: x = 53 - 36
Solution: x = 17
x + 19 = 43
Equation: x = 43 - 19
Solution: x = 24
x/4 = 12
Equation: x = 4 × 12
Solution: x = 48
12x = 96
Equation: x = 96/12
Solution: x = 8
x/8 = 11
Equation: x = 8 × 11
Solution: x = 88
19x = 190
Equation: x = 190/19
Solution: x = 10
x/42 = 6
Equation: x = 42 × 6
Solution: x = 252
Please Mark As Brainliest
2.) $16
3.) 42
4.) $7
5.) -9
6.) 10
7.) $270
8.) 156
9.) -64
10.) 5
B
2.) n+23=41
n=18
4.) n+36=43
n=7
5.) n+19=43
n=24
6.) n/4=12
n=48
7.) n x 12= 96
n=8
8.) n/8=11
n=88
9.) n x 19 = 190
n=10
10.) 42/n= 6
n=7
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
please help :[ i don't understand
Answers
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Kevin's weekly salary is 865. He receives a 25% raise. How can Kevin find his new weekly salary? Select all that apply.
a. divide 865 by 0.25
b. divide 865 by 1.25
c. multiply 865 by 0.25
d. multiply 865 by 1.25
e. add 865 and 1/4 of 865
f. add 865 and 1 1/4 of 865
Answers
Answer:
Option d. (also option e depending on which way you want to calculate it)
Step-by-step explanation:
First, I should point out that percentage basically means 'out of one hundred' so 25% means '25 out of one hundred.' The value of the percentage increase = 25% × 865. The new value = 865 + The value of the percentage increase.
______________________________________
More Simple Explanation:
Alright, so this might not be a super 'mathematical' trick or related to this question but it still works. Basically we just have to convert 25% into a decimal which I do by moving the decimal point 2 numbers to the left. (Since we cannot see the decimal point in the percentage we automatically know that it stays at the end of 25 a.k.a 25.0) So now our number becomes 0.25 (we got rid of the percentage symbol). Now we just multiply 865 by 0.25 to get our answer!
______________________________________
More Mathematical Process *Basically the value and random useless stuff to know lol because my math teacher showed me this and I thought I needed to add this*:
1) Calculate the new value of the number increased by percentage of its initial value
The new value =
865 + The value of the percentage increase =
865 + (25% × 865) =
865 + 25% × 865 =
(1 + 25%) × 865 =
(100% + 25%) × 865 =
125% × 865 =
125 ÷ 100 × 865 =
125 × 865 ÷ 100 =
108,125 ÷ 100 =
1,081.25
2) Calculate the actual change (the difference) between the new value and the initial one
The actual change =
The new value - 865 =
1,081.25 - 865 =
216.25
(For positive numbers, the actual change = The value of the percentage increase)
The original cost of a makeup set was $30. After sales tax, Peter paid a total of $31.71. What is the percent sales tax rate?
Answers
Answer:
5.7
Step-by-step explanation:
unrelated, I love how peter is open about buying makeup. i feel as if the gender roles are garbage. #YasQueen #GoPeter #PeterIsCool #MakeupCanBeForBoysToo <3
(also peter could totally be a girl and I am misgendered a person)
Answer:
The answer is 5.7%
Step-by-step explanation:
So Peter bought the makeup set that was $30.
and had to pay $1.71.
1.71 of 30.
So you would divide 1.71 with 30.
(1.71/30)
equaling .057
Then you would multiply by 100 because there is 100% total, and so multiplying that you would move the decimal two times to the right, getting 5.7
hope this helped B)
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
Find the difference between -14w - 3 and 5w. -19w + 3 -9w - 3 -19w - 3 -22w (pls help)
Answers
Answer:
-12-50w ; w = -6/25
Step-by-step explanation:
-14w-3+14w-3-9w-3-19w-3-22w
-3-3-9w-3-19w-3-22w
simplify
-12-50w
-50w=12
w= -6/25
PLEASEEEE HELPPPPPPPPP
Answers
Answer: The difference between the angle measure is 152 degrees
Step-by-step explanation: Supplementary angles are angles that add up to 180
So if one angle is x in this case, the other will be 14x
Adding both ;
x + 14x = 180
15x = 180
x = 180/15
x = 12
The other angle is 14 * 12 = 168
The difference between the two will be;
168-12 = 156
Answer:
168
Step-by-step explanation:
m<B + m<C = 180 since the angles are supplementary.
m<B = 14m<C since the measure of angle B is 14 times the measure of angle C.
m<B + m<C = 180
14m<C + m<C = 180
15m<C = 180
m<C = 180/15
m<C = 12
m<B = 14m<C = 14 × 12
m<B = 168
Answer: 168
I need help in expressions
Answers
More than >
Less than <
Minus -
Times x
Decreased by -
Difference -
Quotient I guess could be / ( divide sign) but the quotient is the answer of a division problem like 8/2=4 the quotient would be the 4
Combined by +
Sum +
i have more im about to post it after this :D plz help and explain
Answers
Answer: 2.52
Step-by-step explanation: Good luck!
Answer:
x=2+2.6/5
Step-by-step explanation:
can someone help me with this,thank you
Answers
Answer:
2) 4
3) 8
Step-by-step explanation:
Part 2:
= \(\displaystyle \frac{1}{3}\)
Multiply the numerator and denominator by 4
= \(\displaystyle \frac{1 \times 4}{3 \times 4}\)
= \(\displaystyle \frac{4}{12}\)
So, 4 will be placed in the empty box.
Part 3:
= \(\displaystyle \frac{2}{3}\)
Multiply the numerator and denominator by 4
= \(\displaystyle \frac{2 \times 4}{3 \times 4}\)
= \(\displaystyle \frac{8}{12}\)
So, 8 will be placed in the empty box.
\(\rule[225]{225}{2}\)
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
\(\huge\boxed{\sf Option \ C}\)
Step-by-step explanation:
Area of Figure = Area of Rectangle 1 + Area of Rectangle 2
\(\rule[225]{225}{2}\)
Area of Rectangle 1 = \(\sf Length * Width\)
Area of Rectangle 1 = 2 * 8
Area of Rectangle 1 = 16 ft²\(\rule[225]{225}{2}\)
Area of Rectangle 2 = Length * Width
Area of Rectangle 2 = 3*2
Area of Rectangle 2 = 6 ft²\(\rule[225]{225}{2}\)
Area of the desk = 16 + 6
Area of the desk = 22 ft²\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Answer:
22 square feet.
Step-by-step explanation:
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answers
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
On a coordinate plane, the x-axis is labeled Minutes and the y-axis is labeled Gallons (in hundreds). Point A is (3, 12), point B is (6, 7), point C is (12, 3).
The graph shows two points from the table representing a proportional relationship.
A 2-column table with 3 rows. Column 1 is labeled Minutes (x) with entries 1, 2, 3. Column 2 is labeled Gallons (y) with entries 400, 800, 1200.
Which point corresponds to the last entry in the table?
Answers
Answer:
A
Step-by-step explanation:
Answer: the answer is A
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answers
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
How to factorise:
1) 9t²w - 3.
2) 4(x - 5)² + 3 (x - 5)
Answers
Answer:
1)=3(3t^2w-1)
2)=(4x-17)(x-5)
Step-by-step explanation:
1) =Factor out 3
2) =in order to factor an integer we need to repeatedly divide it by the ascending sequence of primes (2,3,5)
number of times each prime divides the original integer becomes it's exponent in the final result. for this equation prime number 2 to the power of 2 =4
2^2(x - 5)² + 3 (x - 5)
we need to factor GCF ( greatest common factor)
The resulting term is a product of GCF and original expression divided by GCF. in equation the GCF = x-5
(x-5)(2^2(x-5)^2/x-5 + 3(x-5)/x-5 )
Need to reduce fraction to lowest terms. Done by dividing out factors that appear both in numerator and denominator. Common factor in equation is x-5
(x-5)(2^2(x-5)^2-1+3)
need to evaluate a power by multiplying the base by itself as many times as the exponent indicates. in equation base 2 will be multiplied by itself twice.
(x-5)(4(x-5)+3)
Expand this term by multiplying a term and an expression. Following product A(B+C)=AB+AC
in equation the resulting expression will consist of 2 terms:
first term is a product of 4 and X
Second term is a product of 4 and -5
(x-5)((4x-4*5)+3)
Numerical factors in this term have been multiplied
(x-5)((4x-20)+3)
We need to get rid of expression parentheses. If there is a negative sign in front of it , each term within expression changes sign. Otherwise expression remains unchanged. In equation there are no negative expression s.
(x-5)(4x-20+3)
Simplify = (4x-17)(x-5) or (x-5)(4x-17)
Answer:
1. \(3(3t^{2} w-1)\)
2. \((4x-17)(x-5)\)
Step-by-step explanation:
For the first question, you simply get the common factor out of both values and in this case it is 3. So if you take 3 out of \(9t^{2} w\) it is basically like dividing.
*You can't divide the alphabetic variables though* So it would be 3t^2w
Then, with -3 you again divide it by 3 so it would be -1.
Put them together and you get
3(3t^2w-1)
For the second question it has some more steps than the first one.
You first expand both of them:
4(x-5)(x-5) + 3x - 15
Then you should expand the double brackets using the foil method ( search it up if confused):
\(4(x^{2} -5x-5x+25) + 3x -15\)
\(4(x^{2} -10x+25) + 3x -15\)
Then you simply the brackets where -5x and -5x makes -10x. Now take the whole bracket and times it by 4 :
\(4x^{2} -40x+100 + 3x-15\)
Now you simplify again:
\(4x^{2} -37x+85\)
You then factorise this equation right here into a double bracket:
\(4x^{2} -20x-17x+85\\\)
\(4x(x-5)-17(x-5)\)
As you could see (x-5) is the same so it works!
then you factorise it to:
\((4x-17)(x-5)\)
I hope it is right and if you see any mistakes pls feel free to ask :)