At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons? Show your work.

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

Answer:

It would be the 2nd one

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

For square one, the dark part added up= 1/4 of the whole big square.

For square 2. the colored in part= 1/4 of the whole big square.

For square 3. The colored part = 1/4 of the whole big square.

Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.

For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.

THE ANSWER IS A THOUGH.

9514 1404 393

Answer:

  9 +3/4b

Step-by-step explanation:

The speed of the second cyclist is b more than 12 miles per hour, so is ...

  2nd cyclist speed = b + 12

The time of interest is 45 minutes = (45/60) hours = 3/4 hours.

The distance the second cyclist travels in 3/4 hour is ...

  distance = speed × time

  distance = (b +12)(3/4)

  distance = 3/4b +9 . . . miles

Answer:

th

e last oneStep-by-step explanation:

Answer:

I think its E because it's in between E and F and E and G

Step-by-step explanation:

Answer:1380

Step-by-step explanation:

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion

When q = 2, then

p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

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Answer:

o

Step-by-step explanation:

Answer:

59.3sq ft

Step-by-step explanation:

Answer:

11 months

26+33(11)=389

59+30(11)=389

The 11 is in going for x and represents the months.

Answer:(11,13)

Step-by-step explanation:

3(11)-2(13)=13= 11+2

If you plug these numbers in, you get the correct answers .

Answer:

w=-11

Step-by-step explanation:

Move the w on to the right side:

-4=18+2w

Move the 18 to the left side:

-22=2w

Divide by 2

w=-11

Hope this helps!

And Brainlists plz!

Answer: He spent $7.25 dollars.

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of candy = $3.50

Cost of a pretzel = $3.25

Total amount to spend = $30

Let the number of candies = c

Let the number of pretzels = p

The inequality to spend on possible numbers of candies and pretzels:

3.50c + 3.25p ≤ 30

Thus,

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

120 words I believe

Step-by-step explanation:

360÷3=120

Answer:

ok what here are u meant to do

Answer:

x = [tex]\frac{p}{2}[/tex] - y

Step-by-step explanation:

Answer:

x=-y+P/2 or P/2-y=x

Step-by-step explanation:

Answer:

B, or [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Got 100% on my quiz. Other guy is incorrect.

Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

Area = [tex]a^2[/tex]

224.9 = [tex]a^2[/tex]

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

To know more about square visit :https://brainly.com/question/25092270

y−60=1(x−20)  ,

y−40=x  ,

y−50=1(x−10)  ,

y−45=1(x−5)  ,

or

y−55=1(x−15)

Step-by-step explanation: I have no idea

The equation for the graph written in point - slope form may be expressed thus y-60 = 1(x - 20)

The general form of a point - slope expression is :

Taking the pair of points (20, 60) :

Slope = Rise / Run

Slope = 20/20 = 1

Hence, the equation can be expressed thus by substituting the x1 and y1 values into the expression :

Therefore, the point - slope expression for the graph is y-60 = 1(x - 20).

Learn more : https://brainly.com/question/11444273

Answer: (-1.5, 2) and (-1.5, -3.5)

Step-by-step explanation:

The distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

A simpler case, is when we have two points where one of the components is the same for both of them, like:

(a, b) and (a, c)

Then the distance will be:

D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI

Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5

The solution will be:

(-1.5, 2) and (-1.5, -3.5)

Where the x-component is the same in both of them, then the distance will be:

D = I2 - (-3.5)I  = I2 + 3.5I = 5.5

Answer:

y= -3/2^2-7x-23/2

Step-by-step explanation:

Answer:

y=-3/2x

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

Example: 3/4 x 7

3          7

     x

4          1

You multiply 3 and 7 to get 21.

Then multiply 4 and 1 to get 4.

Now you have 21/4.

Finally, you simplify.

5 1/4

hope it helps! :3

Answer:

i belive the answer is  B

Step-by-step explanation:

Answer:

4mg/L

Step-by-step explanation:

Here is the complete question;

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

C(t) = 0.08t − 0.0004t2,  where  0 ≤ t ≤ 240 and the concentration is measured in mg/L.  When is the maximum serum concentration reached?

Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;

C(t) = 0.08t − 0.0004t^2

The maximum serum concentration is reached at when d(C(t))/dt = 0

d(C(t))/dt = 0.08-2(0.0004)t

d(C(t))/dt = 0.08-0.0008t

since d(C(t))/dt = 0

0 =  0.08-0.0008t

get the value of t

-0.08 = -0.0008t

t = 0.08/0.0008

t = 100secs

Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;

C(t) = 0.08t − 0.0004t^2

C(100) = 0.08(100) − 0.0004(100)^2

C(t) = 8-0.0004(10000)

C(t) = 8-4

C(t) = 4mg/L

Hence the maximum serum concentration reached is 4mg/L

Answer:

a. x=11°

b. ABC=106°, BCA=33° and BAC=41°

c. Sorry but I can't see the lines l and m

Step-by-step explanation:

a. the question stated that the sum of the measures of the angles in the triangle is 180°

so therefore equate all the values in the triangle to 180°

(9x+7)+ 3(x) + (3x+8)=180°

15x+ 15=180

15x=180-15

15x=165

Divide both sides by 15

therefore x=11

b. ABC=(9x+7)

where there is x put the x value you solved for there which is 11

therefore ABC=(9×11+7)= 106°

Do the same for BCA and BAC

Answer:

03 +9

Step-by-step explanation:

tell me if it was right and have a nice day ;)

Answer:

C. She used GF = 2BG, but the correct statement is BG = 2GF.

Step-by-step explanation:

credits to the other person!

Answer:

C.

Step-by-step explanation:

Edge 2021

Answer:

1/6feet

Step-by-step explanation:

Given

Point A on the island = -7/3 feet from the sea surface

Point B on the island = -5/2 from the sea surface

The distance between the two points will be Point A - Point B

Distance between the two points = -7/3 - (-5/2)

= -7/3+5/2

Find the LCM

= {2(-7)+3(5)}/6

= -14+15/6

= 1/6

Hence the distance of the two points from the surface of the sea is 1/6feet

Answer:

1 / 6 feet

Step-by-step explanation: