Method 1: A pure algebraic approach
The unknown in this problem is the percent of decrease. A percent of decrease is the percentage of the original price that was deducted from the original price to obtain the sale price. We could write a "word equation" for this process like this:
original price - (percent of decrease)(original price) = sale price
Since the percent of decrease is the unknown in this problem, we'll call the percent of decrease x%.
Here's what we know so far:
The original price was $200
The sale price was $170
The percent of increase was x%
Putting this information in our word equation gives us an algebraic equation:
200 - (x%)(200) = 170
What do we do with the percent sign in this equation? "Percent" means "out of 100", so x% means x out of 100, or . Now we have this:
200 - (200) = 170
Now we'll solve our equation:
200 - (200) = 170
200 - 2x = 170
-2x = -30
x = 15
So the percent of decrease is 15%
Method 2: A method involving pure arithmetic.
If we know the original price and the sale price, we can find the percent of decrease in two steps:
Find the amount of decrease
Divide the amount of decrease by the original amount
This will give us the percent of decrease (written as a decimal number). We can then write the decimal as an equivalent percent to find our final answer.
Let's use method 2 on the same problem:
Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?
First, let's find the amount of decrease:
Amount of decrease = 200 - 170 = 30
So the price decreased by $30.
Next, we'll find the percent of decrease, and rewrite the decimal answer as a percent:
Percent of decrease = = = .15 = 15%
So the percent of decrease is 15%
Before we leave the problem, let's check our answer:
Original price = $200
Price reduced by 15% of original price = 200(.15) = $30
Sale price would then be = $200 - $30 = $170
Our answer checks. We're done! Me not know if correct.
The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.
Answer:
83F+79F+X
----------------- >82F
3
Step-by-step explanation:
X is the unknown temp, which is the third day. adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F
HELP PLZ
You don’t have to solve all of them just do the ones you know!
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers. s = s equals StartFraction L A Over pi r EndFraction. s = s equals StartFraction pi r Over L A EndFraction. s = LAr r = r equals StartFraction L A Over pi s EndFraction. r = LAs
Complete Question
The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.
a) s = s equals StartFraction L A Over pi r EndFraction.
b) s = s equals StartFraction pi r Over L A EndFraction.
c) s = LAr
d) r = r equals StartFraction L A Over pi s EndFraction.
e) r = LAs
Answer:
a) s equals StartFraction L A Over pi r EndFraction.
d) r = r equals StartFraction L A Over pi s EndFraction.
Step-by-step explanation:
The formula for the Lateral Surface Area of a right cone is given in the question as:
LA = πrs
Where
r is the radius of the base and s is the slant height of the cone.
From the options given,
We can make s the subject of the formula.
Hence:
Making s the subject of the formula
LA = πrs
Divide both sides by πr
s = LA/πr
Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.
Step 2
Making r the subject of the Formula
LA = πrs
Divide both sides by πs
r = LA/πs
Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.
Answer:
The answer is A and D.
Step-by-step explanation:
I took the quiz !
Helpppppppppppppppppppoppppppoo
Answer:
Step-by-step explanation:
abc=80, abm= 100
acb= 40, acn= 140
angle a = 60
x=80, y=40
Answer:
x = 80° y = 40°
Step-by-step explanation:
ABC = 80° ACB = 40°
ABC+ACB+A = 180° (sum of angles in a triangle = 180°)
80+40+A = 180°
A = 60° (sum of angles in a triangle = 180°)
X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )
y = 40° (alternate angles, angle y is alternate to angle ACB = 40°)
to cross-check : sum of angles on a straight line = 180°
x+ y + A = 180sum of angles on a straight line = 180°
80+40+60 = 180°
ABM = 100° = (sum of angles on a straight line = 180°)
80° + 100° = 180°
ACN = 140° (sum of angles on a straight line = 180°)
40° + 140° = 180°
Evaluate 15 squared show work
Answer:
225
Step-by-step explanation:
15x15=225
There is a cool trick you can do. Lets take 28 and square it.
First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.
You are left with these two numbers, 26 and 30. Add a zero to the 26.
You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)
Then you multiply by 3.
260x3=780
Then you add the square of the number you rounded up too, which is 2.
You are left with this equation.
(2^2)+780= 784
28x28=784.
This works for numbers below 100 and integers
You are making sets of pens and pencils to sell . You want each set to contain the same combination of pens and pencils. You have 28 pens and 80 pencils, and you want to use them all. What is the greatest number of these sets you can make?
The answers are 4 sets, 7 sets, 10 sets, and 35 sets.
30 points! I really need u help, please and thank you .
Answer:
4 sets
Step-by-step explanation:
because you need to fit everything in perfectly
what is the value of d+3
Answer:
you need to explain
Step-by-step explanation:
To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?
41 mi
54 mi
82 mi
46 mi
Answer:
41
Step-by-step explanation:
Applesauce recipe for 8 uses 3 quarters of water. How much water for 12 people
Answer:
4.5 quartsStep-by-step explanation:
We use a proportion to solve this.
8/3 = 12/x
Cross-multiply to get:
8x = 36
x = 4.5
The answer to the question is 4.5
Show solutions please
Answer:
1. Their ages are:
Steve's age = 18
Anne's age = 8
2. Their ages are:
Max's age = 17
Bert's age = 11
3. Their ages are:
Sury's age = 19
Billy's age = 9
4. Their ages are:
The man's age = 30
His son's age = 10
Step-by-step explanation:
1. We make the assumption that:
S = Steve's age
A = Anne's age
In four years, we are going to have:
S + 4 = (A + 4)2 - 2 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we had:
S - 3 = (A - 3)3
S - 3 = 3A - 9
S = 3A - 9 + 3
S = 3A – 6 …………. (2)
Substitute S from (2) into (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into (3), we have:
S = (3 * 8) – 6 = 24 – 6
S = 18
Therefore, we have:
Steve's age = 18
Anne's age = 8.
2. We make the assumption that:
M = Max's age
B = Bert's age
Five years ago, we had:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (3)
A year from now, it will be:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30
M = 30 – 2 – B
M = 28 – B …………………… (4)
Substitute M from (4) into (3) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
If we substitute B = 11 into equation (4), we will have:
M = 28 – 11
M = 17
Therefore, their ages are:
Max's age = 17
Bert's age = 11.
3. We make the assumption that:
S = Sury's age
B = Billy's age
Now, we have:
S = B + 10 ................................ (5)
Next year, it will be:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (6)
Substituting S from equation (5) into equation (6) and solve for B, we will have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (5), we have:
S = 9 + 10
S = 19
Therefore, their ages are:
Sury's age = 19
Billy's age = 9.
4. We make the assumption that:
M = The man's age
S = His son's age
Therefore, now, we have:
M = 3S ................................... (7)
Five years ago, we had:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (8)
Substituting M = 3S from (7) into (8) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (7), we have:
M = 3 * 10 = 30
Therefore, their ages are:
The man's age = 30
His son's age = 10
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
help me pls ill mark brainly
Answer:
First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.
Second step: I think it would be 0.08 x 25.
Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.
Fourth step: Friendly percent is 10%. It is always even.
Hope this helps!
I'm need help with this calculus question.
What is cos(5*20*34)?
Answer:
0.699
Step-by-step explanation:
cos(5*20*34)
cos(3400)
0.699
help !! ill give 10 point for answer !!
What is the value of y in the solution of the system?
x + y = 3
y = -6x + 3
Step-by-step explanation:
x + y = 3 ------------ eqn 1
y = -6x + 3 ---------- eqn 2
Substitute -6x + 3 for y in equation 1
x - 6x + 3 = 3
Evaluating we have,
-5x = 3 - 3
Evaluating further,
x = 0
Substitute 0 for x in equation 1
0 + y =3
Make y subject of formula
y = 3 - 0
y = 3
Hope this helped!
Help please.....its due today
Two linear functions are combined with addition, and then the same two linear functions are combined by
multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x2 - 96x
72x2 – 108x
72x2 - 204x + 144
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST AND GIVE MONEY . Help with number 1 only
Answer:
We start with 550 pieces of candy.
We know that for each kid that comes, the total number of candy will be reduced in 5 units.
Then if there are x children that came to take candy, the total number of candy left will be:
f(x) = 550 - 5*x
That is the function that represents this situation.
Now we want to find the zero of this function, this will be the value of x such that f(x) = 0.
So we only need to solve the equation:
f(x) = 0 = 550 - 5*x
5*x = 550
x = 550/5 = 110
The x-intercept will be (110, 0)
In this particular case, the information on the zero represents the number number of kids that must come and take candy in order to have no more pieces left in the bowl.
What is the difference of the polynomials?
I will give 40 points
Answer:
im answering this for the points and also u lied about how many points i would be getting. -.-
Step-by-step explanation:
answer is C i think
Answer:
7x^{2} +3y^{2} -4x
Step-by-step explanation:
12-5=7
-11-(-14)=3
-13-(-9)= -4
so it will be [tex]7x^{2} +3y^{2} -4x[/tex]
a) What is the equation of line A?
b) What is the equation of line B?
Answer:
Line A is x = -3
Line B is y = 2.5
Step-by-step explanation:
MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.
Answer:
The probability that a potential buyer will read the advert and will buy Jack's car is 0.04
Step-by-step explanation:
Estimate 1: There's a 0.4 probability that a potential buyer will read the advert.
Estimate 2: There's a 0.1 probability that whoever reads the advert will buy his car.
- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.
- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.
- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.
- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1
In the calculation of probability, "and" represents multiplication. Hence,
0.4 × 0.1 = 0.04
Find the area and perimeter of the original planned patio and the new planned patio. MIT HINDI MT Luis decided to make the patio 2 feet longer. The drawing shows his new plans for the patio. New planned patio 8 feet 10 feet 2 feet
Answer:
original
perimeter - 36 feet
area - 80 square feet
new patio
perimeter - 40 feet
area - 96 square feet
Find the value of this expression if x = 7 and y= -2
xy^2/9
7(−2)^2 /9
7(−2)^2 /9
= 28 /9
the answer above this is wrong if you’re using Plato
If the trip is 865 miles about how many miles will David drive
Answer:
865
Step-by-step explanation:
the trip is 865 miles so that is how many miles he will drive
Warren Anderson's annual salary is $54,500. His personal exemptions total $1,500. The annual tax
withheld is: 1.5 percent of the 1st $1,000, 3.0 percent of the next $2,000, 4.5 percent of the next $2,000, and
5.0 percent over $5,000. How much is deducted annually for state income tax?
A. $2,400
B. $2,565
C. $2,725
D. $2,890
Answer:
B. $2,565
Step-by-step explanation:
If LM = MP, then M must be the midpoint of LP? True or False? Im so confused on this!
Answer:
true
Step-by-step explanation:
if you have a line LP and midpoint M means M divides LP in to two equal parts ie LM and MP
Tyler works at an appliance store. He gets paid a salary of $500 a week, plus commission. He gets paid 5% in commission for the first $1000 in sales and 7% commission for sales over $1000. Last week, he sold $3500 in appliances. How much money did he make last week?
Answer:
Step-by-step explanation:I think it is 5005
PLEASE HELP!!!!!!! WILL GIVE BRAINLIEST
Answer:
16 inches
Step-by-step explanation:
What we know:
The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.
We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)
x = 4(12)/3
x = 48/3
x = 16
The predicted diameter will be 16 inches.
(Just put 16 in the blank.)
Help stat brainlist Please and thank you
Help I’ll mark you brainly! And give extra points!
Answer: I think #2 is either A or C
Step-by-step explanation: Hope it helped! :)
Can somebody help me ??
Answer:
y = 98
z = 21
Step-by-step explanation:
in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:
y = 180 - 82
we get y = 98
<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:
4z + 14 = 98
subtract 14 from both sides:
4z = 84
divide both side by 4 to find z:
z = 21
Answer:
y = 82
z = 21
Step-by-step explanation:
You can get y almost immediately.
82 and y are supplementary. Interior angles on the same side of the transversal = 180
82 + y = 180 Subtract 82 from both sides
y = 180 - 82
y = 98
y and 4z + 14 are equal.
y = 4z + 14 Substitute for y
98 = 4z + 14 Subtract 14 from both sides.
98-14 = 4z
84 = 4z Divide by 4
84/4 = 4z/4
21 = z