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lilavasa [31]
3 years ago
11

The discounted price of a book is 85% of the original price. This is a savings of $3. A sales tax of 8% will be added to the dis

counted price. How much sales tax will be added?
Help ASAP
Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
I think the sales tax is $0.28 cents
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John Glenn High School has approximately 1000 students. A survey randomly asked 20 students if they regularly buy lunch. Of thos
lutik1710 [3]

Answer:

Here we have the table for the 8 students that said yes.

a) Out of the 8 students, 5 purchased their favorite food more than four times a month.

The proportion will be p = 5/8, and this can not be simplified anymore because 5 is a prime number and 5 is not a factor of 8.

b) The mean time will be equal to the amount of each of the 8 purchased their favourite food divided by the total sample (8)

This is:

m = (6 + 4 + 3 + 8 +6 + 9 + 4 + 7)/8 = 5.875

c) Out of a sample of 20, 8 buy lunch regularly, this is; p1 = 8/20

The amount of students that regularly buy food will be:

p1*1000 = (8/20)*1000 = 400

And of those 400, 5/8 buy their favourite lunch more than 4 times per month:

(5/8)*400 = 250

d: The mean number of times that a student regularly buys salad.

We have 3 students that regularly buy salad (so we only do the math with those 3)

The mean is (8 + 6 + 7)/3 = 7

So for the students that regularly buy salad, the mean of times that the buy salad in a month is 7 times.

5 0
4 years ago
A circle of a certain radius has an area which is numerically 5 times the value of the circumference. What is the radius of the
patriot [66]

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is \pi r^2.

We know that circumference of a circle is 2\pi r.

5 times the value of circumference would be 5(2\pi r)=10\pi r.

Now we will equate 5 times circumference with area as:

\pi r^2 = 10\pi r

Let us solve for r.

\pi r\cdot r = 10\pi r

\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}

r=10

Therefore, the radius of the circle would be 10 units.

5 0
4 years ago
When a ________contains only numbers and at least<br> one operation it is called a _________.
Inessa05 [86]
Could you show us the picture or there isn’t one ?
6 0
3 years ago
Donna de paul is raising money for the homeless. She discovers that each church group requires 2 hours of let her writing and 1
Salsk061 [2.6K]

Answer:

x  =  7

y  =  3

z (max)  =  4950/3  =  1650

Step-by-step explanation:

Let call  

x numbers of church goup and

y numbers of Union Local

Then  

First contraint

2*x + 2*y ≤ 20

Second one

1*x + 3*y ≤ 16

Objective Function

z = 150*x + 200*y

Then the system is

z = 150*x + 200*y To maximize

Subject to:

2*x + 2*y ≤ 20

1*x + 3*y ≤ 16

x ≥ 0 y ≥ 0

We will solve by using the Simplex method

z - 150 *x - 200*y = 0

2*x + 2*y + s₁ = 20  

1*x + 3*y + 0s₁ + s₂ = 16

First Table

z           x          y          s₁           s₂          Cte

1        -150    -200       0            0     =      0

0          2         2           1            0     =    20

0          1          3          0            1      =     16

First iteration:

Column pivot   ( y column ) row pivot (third row) pivot 3

Second table

z           x                y          s₁           s₂                Cte

1       -250/3           0          0         200/3    =    3200/3

0      - 4/3               0          -1           2/3       =    -20/3

0         1/3               1            0           1/3       =    -20/3

Second iteration:

Column pivot  ( x column ) row pivot  (second row)  pivot  -4/3

Third table

z           x                y          s₁           s₂                Cte

1            0               0      750/12    700/6    =   4950/3

0            1                0        3/4          -1/2     =    7

0            0                1         -1/4          1/2     =  9/3

5 0
3 years ago
Which numbers will round to 3.75 when rounded to the nearest hundredth and will round to 3.7 when rounded to the nearest tenth
Lina20 [59]

Answer:

3.646

3.648

3.647Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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