1answer.
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
Bess [88]
3 years ago
11

A running store offers a 15% discount on

Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

The cost of each pair of shoes before the discount=$67.65

Step-by-step explanation:

Step 1

Use the expression below to determine original cost of the 2 pairs of shoes as follows;

A=O-R

where;

A=total bill after discount

O=original cost of 2 pairs of shoe

R=discount amount

In our case;

A=$110.50

O=unknown=x

R=15% of O=(15/100)×x=0.15 x

replacing;

115=x-0.15 x

115=0.85 x

x=115/0.85

x=135.294

Original cost of the 2 pairs of shoes=$135.294

Original cost of a pair of shoes=135.294/2=$67.65

The cost of each pair of shoes before the discount=$67.65

You might be interested in
3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27
Vladimir [108]
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day
7 0
3 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
AB has endpoints at (-1, -1) and (-2, -4). Its transformation A'B' has endpoints at (-2, -2) and (-4, -8). What type of transfor
Bad White [126]

The answer is definatly C but if you know the answer why did you ask???

Anyway, hope this helps, and please mark brainliest!!!!!!!!!!!

3 0
3 years ago
What is the factored form of the expression over the complex<br> numbers?<br> 16x2 + 9y2
Hunter-Best [27]

Answer:

(4x -3yi) (4x+3yi)

Step-by-step explanation:

We have a^2 + b^2

Over  the complex number, this is equal to

(a-bi) (a+bi)

(4x -3yi) (4x+3yi)

4 0
3 years ago
A=(_3 2),b (4 _6),c=(5 _10)​
MAXImum [283]
First we find x of p:

x = 2 \times ( - 3) - \frac{1}{2} \times 4 + \frac{2}{5} \times 5 \\ = - 6 - 2 + 2 = - 6

then we find y of p:

y = 2 \times 2 - \frac{1}{2} \times ( - 6) - \frac{2}{5} \times ( - 10) \\ = 4 + 3 + 4 = 11

so

p = \binom{ - 6}{11}

and

|p| = \sqrt{ {( - 6)}^{2} + {11}^{2} } \\ = \sqrt{36 + 121} = \sqrt{157} = 12.53
6 0
3 years ago
Other questions:
  • In Florida four seagulls ate 10 pounds of garbage what is the proportional relationship
    5·1 answer
  • If the graph of the function h defined by h(x)=-3x^2+3 is translated vertically upward by 3 units , it becomes the graph of a fu
    8·1 answer
  • Sara is building a circular garden with a radius of 14 m. She can buy the fencing in
    10·2 answers
  • Alex purchased a new car for 28,000. The cars value depreciates 7.25% each year. What will be value of the car 5 years after it
    5·2 answers
  • What is 180% of 13.4?
    11·1 answer
  • Looking for some assistance with a Finance question.
    15·1 answer
  • Find the equation of the linear relationship
    15·2 answers
  • Pls help ASAP!!!!! plss anyone!!!!
    5·1 answer
  • Write the number 0.00003852 in standard form.
    11·1 answer
  • A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics prob
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!