Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality 5.50 b + 7.5 less-than 65 to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options. The inequality symbol is correct because she must spend less than $65. The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. The inequality symbol is correct because she cannot spend more than $65. PLS NEED ASAP!!

Answer:

Equation: 2x + x = 180

x = 60

∠GFH = 120

∠CBD = 60

Step by step:

Use 2x + x = 180 because the angles are on a straight line meaning they have a sum of 180:

2x + x = 180

3x = 180

3x/3 = 180/3

x = 60

Now just substitute:

∠CBD = x = 60

∠GFH = 2x = 120

Step-by-step explanation:

u didn't showed me but I will help u

here is your answer

Answer:

h > 24

Step-by-step explanation:

h/3 > 8

so basially you move the number three from the left side to the right side

so from division to multiplication

h > 8 x 3
h > 24
Solved !

Hope it helped ! Have a nice day !

Answer:

x = -13/5

Step-by-step explanation:

8+3(2x-7) = 11x

8 + 6x - 21 = 11x
     8 - 21   = 11x - 6x
     -13        = 5x
      -13/5    = x

Answer:

This is the answer i guess.

[tex]\log_6 6^3\\\\=3 \log_6 (6)~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3 \cdot 1~~~~~~~~~~~~~~~~~~~~~~;[\log_a a=1]\\\\=3[/tex]

3x² + 4

3.-3.-3 + 4

27 + 4

31

hope it helps...!!!

Answer:

31

EXPLANATION

[tex] = 3 \times { - 3}^{2} + 4 \\ = 3 \times 9 + 4 \\ = 27 + 4 \\ = 31[/tex]

Answer:

A. The initial amount of medicine.

Step-by-step explanation:

Same explanation as the one I answered before. The 250 is the original value.

Answer:

(a) sector

(b) chord

(c) tangent

Step-by-step explanation:

Answer:

C.) 70

Step-by-step explanation:

The line PN is made up of PK and KN (PN = PK + KN). We also know that PK must equal KN (definition of a parallelogram). Therefore, you can set the value of both lines equal to each other, solve for x, then add them together to find PN.

PN = ?    
PK = 5x    
KN = n² - 14

PK = KN                                  <----- Both lines must equal one another

5x = n² - 14                             <----- Substitute values in

0 = n² - 5x - 14                        <----- Subtract 5x from both sides

0 = (x - 7)(x + 2)                      <----- Factor

x = 7    x = -2                          <----- Set both parentheses equal to 0

The value for "x" can be 7 and -2. However, it does not make sense to use a negative value in this situation. If we were to plug -2 into the equations, it would result in lines with a negative value. Therefore,  "x" must be 7. Next, plug this value in for "x" to find the numerical value of PK and KN.

PK = 5x  ----->  5(7) = 35

KN = n² - 14  ----->  (7)² - 14 = 35

The fact that these are equal makes sense. Now, add these two numbers to find the value of the overall line.

PK + KN = PN

35 + 35 = 70

Therefore, C.) 70 is the value of PN.

Answer:

Step-by-step explanation:

   8) AC = DC              Given

       BC  = EC              Given

      ∠ACB ≅ ∠DCB    Vertically opposite angles are congruent

9)  RS = TS                              Given

     SU =SU                              Reflexive property

     ∠RSU = ∠TSU                    Given

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

15 males and 20 females would maximize the total number of animals

The table is given as:

                           Males      Females    Time available

Environment a    20 min      25 min       800 min

Environment b    20 min      15 min       600 min

Represent the male with x and the female with y.

The time available is limited i.e. ≤

So, the constraints are:

20x + 25y ≤ 800

20x + 15y ≤ 600

Solve the above system of inequalities graphically (see attachment)

(x, y) = (15,20)

Hence, 15 males and 20 females would maximize the total number of animals

Read more about maximizing functions at:

https://brainly.com/question/16826001

#SPJ1

Answer:

  a. dimpled: 4 < 7 < 2·4

  b. not symmetrical about θ = π/2

  c. r2: smaller, cardioid

Step-by-step explanation:

The general form of the equation for a limaçon can be written ...

  r = a·cos(θ) +b

This equation gives rise to 4 types of limaçon based on the relationship between a and b:

__

We have a=4, b=7, so a < b < 2a. The limaçon is dimpled.

The equation is not the same if θ is replaced by π/2 -θ. The curve is not symmetrical about θ = π/2.

The equation for r2 ...

Answer:

 [tex]-x^{3} -9x^{2}[/tex]

Step-by-step explanation:

I think.

Pls give Brainliest.

Step-by-step explanation:

fgx= x+6

g(f(x)=√x²+6

am not sure about the rest

Answer:

351.68 m²

Step-by-step explanation:

surface area of cylinder = 2πrh + 2πr²

r = 4m

h = 10m

2πrh + 2πr² = 2*π*4m*10m + 2*π*(4m)² = 2*3.14*4m*10m + 2*3.14*4m*4m = 351.68 m²

Answer:

The sample space S for a probability model is the set of all possible outcomes.

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14)  Can't see the question :(

#1

Put (0,0)

Shading will be away from origin.

y inetercept

Check the direction of line by taking 4 and -4

The graph should bend down on left side while rise up in right side

Option A

#2

Putting origin in it

Shading away from origin

And

Putting origin

Shading towards origin

Answer: 2

Step-by-step explanation:

[tex]\boxed{\sf (-3, -1)}\boxed[/tex]

Answer:

64 in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A=\frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A=\frac{16\pi }{4}=\frac{4\pi }{1}=4\pi[/tex]

Now lets get it back to  by square rooting the 4

[tex]A=\sqrt4\pi =2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² which simplifies to 64

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

Answer:

$12 is the sale price of shirt.

Explanation:

Calculate the percentage of sale

[tex]\sf \rightarrow \sf \dfrac{15}{20} *100[/tex]

[tex]\sf \rightarrow \sf 75 \%[/tex]

Then find the sale price of shirt

original price * percentage of sale

$16 * 75%

$12

Answer:

$12

Step-by-step explanation:

First, calculate the sale discount as a percentage using the given information about the pants.

[tex]\sf percent\:change=\dfrac{|final\:value-initial\:value|}{initial\:value} \times 100[/tex]

[tex]\implies \sf percent\:change=\dfrac{|15-20|}{20} \times 100=25\%[/tex]

Therefore, the clothes are on sale with a 25% discount.

This means they are 75% of the original sale price, as 100% - 25% = 75%

To find the sale price of the shirt, we simply need to find 75% of the original selling price of the shirt:

  75% of $16

= 0.75 × $16

= $12

Using ratios of original price : sale price, where x is the sale price of the shirt:

pants → 20 : 15

shirt → 16 : x

Therefore, as the ratios are the same:

   20 : 15 = 16 : x

⇒ 20/15 = 16/x

⇒ 20x = 16 · 15

⇒ 20x = 240

⇒ x = 240 ÷ 20

⇒ x = 12

Answer: x > 6

Step-by-step explanation:  -4(2x+2) < -40

-8x - 8 < -40

      +8     +8

-8x < 48

/-8x   /-8x

x  > 6              *The less than sign got flipped to a greater than sign because we divided by a negative.

Answer:

C. 1/4

Step-by-step explanation:

Step 1

Make the fraction denominators the same!

1/2 will become 4/8 over here, and 2/8 is already good!

Step 2

Subtract the new fractions!

4/8 - 2/8 is easy! It's 2/8

Step 3

Simplify the answer (2/8)

2/8 will become 1/4 when simplified

or C

Answer:

Step-by-step explanation:

3x^2 - x + 4 and 2x- 4x^2 - 7

3x^2 - x + 4 = no solution

2x- 4x^2 - 7 = no solution

[tex]\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles of a triangle sum to 180 degrees, so:

if one angle is x degrres the other id 2x, and:

x + 2x + 60 = 180

3x = 180 - 60 = 120

x = 120/3 = 40

So m<B = 40 and m < A = 80 degrees.