answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MAXImum [283]
2 years ago
10

Nathan bought a wallet for 5% off its full price. What was the full produce of the wallet if Nathan paid 17.67 before sales tax

A.18.60 B.22.67 C. 17.72 D. 19.53
Mathematics
2 answers:
AfilCa [17]2 years ago
6 0
A. 18.60, because you multiply 18.6 by .05 to get .93, and then subtract .93 from 18.6 to get 17.67.
erastovalidia [21]2 years ago
3 0

Answer:

Option A is correct.

Step-by-step explanation:

Let the full price of the wallet be represented by = x

Total amount that Nathan paid for the wallet = $17.67

Discount percentage = 5% or 0.05 = 0.05x (5% of full price)

So, equation becomes: full price - discount price = 17.67

x-0.05x=17.67

0.95x=17.67

x = $18.60

Therefore, the full price of the wallet is $18.60.

We can also check this by taking out 5% of 18.60

0.05\times18.60=0.93

And18.60-0.93=17.67

So, option A is correct.

You might be interested in
three positive numbers are in Arithmetic Progression (A.P). the sum of the squares of the three numbers is 155. while the sum of
Alecsey [184]
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.

We do not know what x and y stand for.  Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2  (common difference is positive)

Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}


6 0
2 years ago
A ball is thrown from a height of 43 meters
AveGali [126]
When the ball will hit the ground, the height will be zero. So we need to replace h with 0 in our equation, and solve for t:
0=43-4t-5t^{2}
-5t^{2}-4t+43=0
To solve this equation we are going to use the quadratic formula: t= \frac{-b(+/-) \sqrt{b^{2}-4ac} }{2a}.
From our height equation, we can infer that a=-5, b=-4, and c=43. So lets replace those values in our quadratic formula to find t
t= \frac{-(-4)(+/-) \sqrt{(-4)^{2}-4(-5)(43)} }{2(-5)}
t=- \frac{5}{8} - \frac{ \sqrt{713} }{8} or t=- \frac{5}{8} + \frac{ \sqrt{713} }{8}
t=-3.96 or t=2.71
Since time cannot be negative, t=2.71 is the solution of our equation.

We can conclude that the ball will hit the ground after 2.71 seconds.
4 0
2 years ago
Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
BlackZzzverrR [31]
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3

S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
6 0
2 years ago
Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American
riadik2000 [5.3K]

Answer:

The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

Step-by-step explanation:

Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations

Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.

Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

3 0
2 years ago
Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? Y – 6 = y minus 6 equals St
GenaCL600 [577]

Answer:

Part 1) y+6=\frac{2}{5}(x+2)

Part 2) y+6=\frac{5}{2}(x+2)

Step-by-step explanation:

The equation of the line in point slope form is

y-y1=m(x-x1)

we're going to analyze two cases

<em>First case</em>

Point\ (-2,-6)

slope\ m=\frac{2}{5}

substitute

y+6=\frac{2}{5}(x+2)

therefore

y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis

<em>Second  case</em>

Point\ (-2,-6)

slope\ m=\frac{5}{2}

substitute

y+6=\frac{5}{2}(x+2)

therefore

y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis

5 0
2 years ago
Read 2 more answers
Other questions:
  • A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernel
    9·2 answers
  • 100 POINTS! IF YOU ANSWER THESE 5 QUESTIONS CORRECTLY :)
    10·2 answers
  • What is the simplified form of square root of 2160x raised to 8/60x raised to 2
    7·1 answer
  • The square shown has a perimeter of 32 units. The square is rotated about line k.
    13·2 answers
  • Order 93% nine tenths 0.099 0.915% and 0.092 from least to greatest
    12·1 answer
  • Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memo
    12·1 answer
  • A welder produces 7 welded assemblies during the first day on a new job, and the seventh assembly takes 45 minutes (unit time).
    10·1 answer
  • Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val
    12·1 answer
  • The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
    6·1 answer
  • Two quantities x and y are connected by the formula y=7-9x.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!