Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]

Answer:

Step-by-step explanation:

Assuming the price of 1 pizza is $x. Total number of pizzas is 3.

Considering the first deal,

10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x

The cost of the remaining two pizzas is 2 × x = 2x

The total amount to be paid is

2x + 0.9x = $2.9x

Considering the second deal, 30% off the bill would be

30/100 × 3x = 0.9x

The amount to be paid is

3x - 0.9x = $2.1x

Therefore, I prefer the second deal

Step-by-step explanation:

Yes, that is correct.  Well done!

Answer:

6 friends (4 pay € 1.75 and 2 pay € 1)

Step-by-step explanation:

We have to:

x = friends

y = payment

x * y = 9

y = 9 / x

It follows from the problem:

(x-2) * (y + 0.25) = 9 - 2

(x-2) * (9 / x + 0.25) = 7

x * 9 / x + 0.25 * x - 2 * 9 / x - 2 * 0.25 = 7

9 + 0.25 * x - 18 / x - 0.5 = 7

multiply by 100

100 * 0.25 * x - 100 * 18 / x + 100 * (9 - 0.5 - 7) = 0

25 * x - 1800 / x + 150 = 0

multiply by x

25 * x ^ 2 + 150 * x - 1800 = 0

we factor:

(x - 6) * (x + 12) = 0

x = 6

x = -12

The positive value is taken: x = 6

Each one had to pay = 9/6 = € 1.5

But as two pay € 1, 4 will pay € 0.25 more: 1.5 +0.25 = € 1.75

Thus :

(4 * 1.75) +2 (1) = € 9

Therefore, they are 6 friends (4 pay € 1.75 and 2 pay € 1)

Answer:

Length of arc S:

L = radius x angle (in rad) = 5 x 0.4 = 2

Hope this helps!

:)

Answer: x = 9, y = 5

Step-by-step explanation:

If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.

set the equation equal to 60 to solve for x

7x - 3 = 60

add three to both sides

7x = 63

divide both sides by 7

x = 9

find y by setting the equation equal to 60

11y + 5 = 60

subtract 5 from each side

11y = 55

divide both sides by 11

y = 5

Answer:6.3% 6.0% 4.5% 4.7%

Step-by-step explanation:

Answer: $253.50

Step-by-step explanation:

Markup = 30% of sale price

Store purchase price = (100% - 25%) × 260

Store purchase price = 75% × 260

Store purchase price = 0.75 × 260

Store purchase price = $195

Regular selling price = markup × purchase price

Markup = 30% of purchase price (100+30)%

Regular selling price :

1.30 × $195 = $253.50

I got it in decimal 18.05 estimated

Answer:

Step-by-step explanation:

Probability of a 2 = 1/6

Probability of a 4 = 1/6

probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3

[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]

Answer:

20 ft

Step-by-step explanation:

Given;

Length of flagpole shadow = 30 ft

Sign post height = 4 ft

Length of sign post shadow = 6 ft

Since the two objects are close to each other (the same location)

The height and shadow length of the two objects follows the same ratio, just like similar triangles;

Using the Ratio or similar triangles Formula;

height of flagpole/flagpole shadow length = height of sign post/ sign post shadow length

Substituting the values;

h/30 = 4/6

h = 4/6 × 30 = 20 ft

Flagpole height = 20 ft

All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.

1/2 = 0.5

Divide.

2 / 0.5 = 4

Therefore, Alexa will read 4 times over the weekend.

Best of Luck!

Answer:

4 times

Step-by-step explanation:

1 / 2 = 0.5

2 / 0.5 = 4

Answer:

23c+18x=1446

Step-by-step explanation:

Answer:

x>-2

Step-by-step explanation:

x-4x<5x+16

Subtract 5x from both sides:

x-4x-5x<16

Combine like terms:

-8x<16

Divide both sides by 8:

-x<2

Divide both sides by -1:

x>-2

Hope this helps!

Answer:

320 in ^3

Step-by-step explanation:

V=B*h/3      where B=10*8=80 and h=12

V=80*12/3=320 in ^3

Answer: 13/250 or 0.052

Step-by-step explanation:

4.16 (1/100000)/ 8 (10^-4)

Then keep doing order of operations and dividing down.

Answer:

5.2*10^-2

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

45/72 =

45 ÷ 72 =

0.625 =

0.625 × 100/100 =

0.625 × 100% =

(0.625 × 100)% =

62.5%;

Answer:

The answer is, D = 240 /

I did the test and got a 100

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

Answer:

The one that ends with jointly!

Step-by-step explanation:

Answer:

B. Married filing jointly

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

Answer:

That's my best answer.

Step-by-step explanation:

So for number 1 it says the total amount of wrapping paper. You should just find the surface area. I'll send a screenshot.

Answer:

$281.02

Step-by-step explanation:

P=$175

r=8%=0.08

t=6 years

n=12

A=p(1+r/n)^nt

=175(1+0.08/12)^12×6

=175(1+0.0066)^72

=175(1.0066)^72

=175(1.6058)

=$281.015

Approximately $281.02

The equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7

The standard equation of a line in slope-intercept form is expressed as

y = mx+b

m is the slope of the line

b is the y-intercept

Given the coordinate points (2, 1) and (5, 8)

Get the slope of the line:

[tex]m=\frac{-8-1}{5-2} \\m=\frac{-9}{3}\\m=-3[/tex]

Get the y-intercept

Recall that y = mx + b

1 = -3(2) + b

1 = -6 + b

b = 1 + 6

b = 7

Get the required equation of the line.

y = -3x + 7

Hence the equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7

Learn more equation of lines here: https://brainly.com/question/17003809

Answer:

0

Step-by-step explanation:

-n+n-5 = 0

-5 = 0

Answer:

no solutions

Step-by-step explanation:

–n − 5 = –n

Add n to each side

–n+n − 5 = –n+n

-5 = 0

This is never true so there are no solutions

Answer:

720

Step-by-step explanation:

125tablets, 2 of which had broken screens.

multiply 45000 by 2, then divide 125=720

Answer:

720

Step-by-step explanation:

125 tablets, 2 of which had broken screens.

Multiply the 45,000 by 2, then divide by 125.

So therefore, the answer is 720.

Answer:

2√7

Step-by-step explanation:

Mathematically, the equation of a circle can be represented by;

(x-h)^2 + (y-k)^2 = r^2

where (h,k) = center and r = radius

Applying this to the question, we can see that the length of the radius of the circle is √7

The diameter is always twice the radius

Thus, the diameter KL = 2 * √7 = 2√7

On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.

Here we have the function:

y = cos(2*(x + pi))

First, let's distribute the product in the argument of the cosine:

y = cos(2x + 2pi).

Now, notice that 2pi is the period of a cosine function, then:

cos(2x)  = cos(2x + 2pi)

Then we can write:

y = cos(2x)

Now, the y-intercept is:

y = cos(2*0) = 1

And because the factor of 2 inside the argument, it goes through 2 cycle at 2pi (instead of 1 cycle, like a normal cosine).

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi."

If you want to learn more about cosine functions, you can read:

https://brainly.com/question/8120556

Answer:

D

Step-by-step explanation:

Because i said so.

Answer:

The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.

Step-by-step explanation:

In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:

Rectangular prism:

Volume prism = length*height*width

Volume prism = 15*h*10 = 150*h

Cylinder:

Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h

The volume of the prism that is not occupied by the cylinder is:

volume not occupied = volume prism - volume cylinder

volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h

The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.