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
fgiga [73]
2 years ago
9

A particular shoe store stocks two styles of walking shoes. Style A sells for $66.95 and Style B sells for $84.95. At the end of

the week, sales totaled in $17,652. The number of Style A shoes sold was twenty-four less than twice the number of Style B shoes sold. how many of each type or so that week?
Mathematics
1 answer:
Gnom [1K]2 years ago
8 0

Answer:

Style A shoes sold : <u>152</u>

Style B shoes sold : <u>88</u>

Step-by-step explanation:

Let :

  • Style A shoes = x
  • Style B shoes = y

Forming equations :

  1. x = 2y - 24
  2. 66.95x + 84.95y = 17,652

Substitute the value of x from 1 in 2.

  • 66.95 (2y - 24) + 84.95y = 17,652
  • 133.90y - 1606.80 + 84.95y = 17,652
  • 218.85y = 19258.80
  • <u>y = 88</u>

<u />

Finding x :

  • x = 2(88) - 24
  • x = 176 - 24
  • <u>x = 152</u>

<u />

Solution :

  • Style A shoes sold : <u>152</u>
  • Style B shoes sold : <u>88</u>
You might be interested in
According to an​ almanac, 60​% of adult smokers started smoking before turning 18 years old. ​(a) compute the mean and standard
larisa [96]
The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.

a.) The mean is given by:

\mu=np=400\times0.6=240

The standard deviation is given by:

\sigma=\sqrt{npq} \\  \\ =\sqrt{np(1-p)} \\  \\ =\sqrt{400(0.6)(0.4)} \\  \\ =\sqrt{96}=9.80


b.)  The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.


c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult​ smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>
5 0
3 years ago
What is the solution to the equation 1 over the square root of 8 = 4(m + 3)?
AnnyKZ [126]
The solution would be ... m = <span>√2 - 48 over 16. Have a good day :)</span>
3 0
3 years ago
3. What is the radius of a circle whose area is 64π cm squared?
nataly862011 [7]

Answer:

Area = 64π

Area \: = \pi {r}^{2}Area=πr

2

64 \: \pi \: = \pi {r}^{2}64π=πr

2

{r}^{2} = \dfrac{64\pi}{\pi}r

2

=

π

64π

{r}^{2} = 64r

2

=64

r \: = \: \sqrt{64} = 8r=

64

=8

Radius = 8 units

Finding the Diameter -

Diameter = Radius x 2 = 8 x 2 = 16 .

\bold{Diameter \: is \: 16 \: units}Diameteris16units

8 0
3 years ago
What is 58.65 with a 15% tip?
11111nata11111 [884]
X/58.65 = 15/100

(58.65*15)/100 = tip
6 0
2 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
Other questions:
  • The cost of a movie ticket is $5. it costs a group of friends $105 to go to the movies. which equation describes the number of p
    6·1 answer
  • what is each number written in scientific notation? 2. 1,220,000,000 a) 1.22 x 10 b) 0.1222 x 10^10 c) 12.2 x 100^8 d) 1.22 x 10
    13·1 answer
  • Whats the measurment for H?
    12·1 answer
  • The table below shows two equations:
    11·1 answer
  • Solve this inequality: -3 - 6(4x + 6) &gt; -111
    10·1 answer
  • find the probability for the experiment of selecting a pair of black socks followed by a pair of navy-blue socks and then a pair
    9·1 answer
  • Miss Brown will randomly choose a student in justin's class to erase the board. There are 26 students in the class. What is the
    13·2 answers
  • A function LaTeX: f\left(x\right)=3^xf ( x ) = 3 x is transformed into the function LaTeX: g\left(x\right)=-3^{x+4}-7g ( x ) = −
    15·1 answer
  • 23,465 Round to the nearest ten
    12·2 answers
  • PLEASE FAST!!!! WILL GIVE BRAINLIEST!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!