Raj paid $5.04 for 6 cookies. Heath paid $4.00 for 5 cookies. Which of the following statements is true?

Raj paid less per cookie.

Heath paid less per cookie.

Raj and Heath paid the same per cookie.

Answer: A. (-1,-10)

The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].

According to the equation given a = 1, and b = 2.

[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]

The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.

[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]

∴ the vertex is (-1,-10).

Answer:

C

Step-by-step explanation:

5a+ 18 < -27

Subtract 18 from each side

5a+18-18 < -27-18

5a < -45

Divide each side by 5

5a/5 < -45/5

a < -9

Open circle at 9, line doing to the left

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean [tex]3^x=15[/tex]

so let s use the ln() function

[tex]ln(3^x)= xln(3)=ln(15)[/tex]

so x = ln(15)/ln(3)

x = 2.4650

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm

Answer:

3t² - Q / 5t

Step-by-step explanation:

Q = 3t² - 5th        collect like terms (separate 5th from the rest of the equation)

5th = 3t² - Q                                                                      (divide both sides by 5t)

h = 3t² - Q / 5t

If this helped please mark me as brainliest

Answer:

Step-by-step explanation:

[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]

Answer:

The histogram is attached

Step-by-step explanation:

The histogram attached shows the points scored in each game, where total number of games are 20

Histogram is made by the following details:

X-Axis: Game No.

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)

Y-Axis: Total points scored in that game.

(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)

Different colors are used for each much so that it is easy to differentiate among them.

Answer:

A: 12cm

B: 90 degrees

C: 60 degrees

Step-by-step explanation:

A. Measure of GH is 1/4 of perimeter of 48 cm

48/4=12

a is 12cm

B.  in a rhombus, diagonals are perpendicular,

FH and EG are perpendicular

So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees

thus measure of angle EJF is 90 degrees

C.

First lets find the measure of EJF

Since all the inner angles of the triangle add up to 180 degrees,

we can make an equation:

60+90+x=180

150+x=180

x=30

angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,

Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors

Thus EHJ=30 and GHJ=30

30+30=60

EHG = 60

so answer is 60 degrees

Answer:

Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...

Step-by-step explanation:

Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.

------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 185}{11}[/tex]

[tex]X - 185 = 11(0.675)[/tex]

[tex]X = 192[/tex]

The minimum wait time is of 192 seconds.

A similar problem is given at https://brainly.com/question/7001627

Answer:

Yes.

Step-by-step explanation:

Apples needed             =130

apples in the kitchen    =68

130-68= 62 to complete for all the students

1 (3 dozens x 12) = 36 apples x 2= 72

68 +72=140 apples available for all the students

Answer:

Yes

Step-by-step explanation:

The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.

Hope it helps

Answer:

It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt

Step-by-step explanation:

Well it quite simple 1st you have the total which is 40

next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.

next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.

Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10

hope this helps (barry_ary)

Answer:

10

Step-by-step explanation:

15+10= 25

25+5=30

40-30=10

10 people are not wearing sneakers and

blue shirts

Answer:

x = 3 will be the answer.

Step-by-step explanation:

From right triangle ABC,

By applying Sine rule,

Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]

    [tex]\frac{1}{\sqrt{2}}[/tex]  = [tex]\frac{BC}{6\sqrt{2}}[/tex]

BC = 6 units

Now from right triangle BCD,

By applying Cosine rule,

Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]

[tex]\frac{1}{2}=\frac{x}{6}[/tex]

x = [tex]\frac{6}{2}[/tex]

x = 3

________________________________

Hey!!

Solution,

(5r+2)(3r-4)

= 5r(3r-4)+2(3r-4)

= 15r^2-20r+6r-8

= 15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8

Hope it helps

Good luck on your assignment

_________________________________

Answer:

15 r squared minus 14 r minus 8

Step-by-step explanation:

from my understanding that what I think it is :) have an awesome day!!!!!!

Answer:

3/4

Step-by-step explanation:

There are 12 marbles in the bag

9 marbles are not blue

P(not blue) = marbles that are not blue / total marbles

                   = 9/12 = 3/4

Answer:

- 8x² - 40x - 50

Step-by-step explanation:

Begin by evaluating the inside, that is g(f(x))

Substitute x = f(x) into g(x), that is

g(f(x))

= g(2x + 5)

= (2x + 5)² ← expand using FOIL

= 4x² + 20x + 25

Now substitute x = 4x² + 20x + 25 into h(x)

h(4x² + 20x + 25)

= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2

= - 8x² - 40x - 50

Thus

h(g(f(x))) = - 8x² - 40x - 50

Answer:

see below

Step-by-step explanation:

The blue graphs had 2 real solutions since it crosses the x axis twice

The yellow graph has no real solutions since it does no cross the x axis

The red graph has one solutions since it touches the x axis

Answer:

The surface area of the pyramid is 208 units²

Step-by-step explanation:

Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.

First, the base:

Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.

Second, one of the triangles:

To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...

Finally, add them all together:

Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:

64 + 36 + 36 + 36 + 36

After doing some simplifying, we get our final number, 208.

The surface area of the pyramid is 208 units²

The surface area of the regular pyramid in the diagram is 208 units².

The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base.

Surface area of the pyramid = 2bh + b²

Where b is the base

and h is the perpendicular height of each triangular faces

In the given diagram,

b = 8

h = 9

∴ Surface area of the pyramid = 2×8×9 + 8²

Surface area of the pyramid =  144 + 64

Surface area of the pyramid = 208 units²

Hence, the surface area of the regular pyramid in the diagram is 208 units².

Learn more on Calculating area of Pyramid here: brainly.com/question/22744289

#SPJ7

The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.

In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,

[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]

Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

Learn more about the gradient of a line here;

https://brainly.com/question/11693181

#SPJ2

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

Answer:

w<0 or w>9

Step-by-step explanation:

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)

3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

Answer:

Explanation:

2

w

+

3

>

29

w

First take LCM

2

+

3

w

>

29

w

Now you can remove the denominator(LCM) because it is on both sides.

So, we get

2 + 3w > 29

3w > 27

w>9

In this way, we get the answer.

Step-by-step explanation:

Answer:

Inverse Property

Step-by-step explanation:

This property is inverse property with respect to addition.

E.g.

If x=y and z= -y

Then,

x+z = 0

its basically d on edg :)

Answer:

Step-by-step explanation:

Prove that for any natural number 3^(n+4)-3n is divisible by 16.

(I'm going to assume that you mean 3^(n+4)-3^n.)

1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).

2. Solve to get 3^n * 81 - 3^n

3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)

        You may notice that 80 is divisible by 16.

4. Rewrite what we got from the last step as: 3^n*5(16).

Hope this helped you!

The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5

We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is; (3ⁿ⁺⁴ - 3ⁿ)/16

From laws of indices, we know that;

aᵐ⁺ⁿ = aᵐ × aⁿ.

Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.

Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;

((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)

3ⁿ(80/16) = 3ⁿ × 5

The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.

Read more about proof of numbers at; https://brainly.com/question/10657323

Answer:

20

Step-by-step explanation:

1.75 x 6 = 10.5

10.5 + 9.5 = 20

Answer:

20 is the answer im 100% sure ask me for a picture if u want my work shown

Step-by-step explanation:

Answer: Even

Step-by-step explanation:

This graph has been translated up by one unit but is still symmetrical about the y axis.

A simple proof would be to check if  f(x) = f(-x). If it does, then it is even.

To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.

To check for neither, f(-x) will not equal -f(x)

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

Answer:

Step-by-step explanation:

The given function is

[tex]f(x)=(x-1)(x+7)[/tex]

Zeroes of the function are

[tex](x-1)(x+7)=0[/tex]

[tex]x=-7,1[/tex]

It means, f(x) intersect x-axis at x=-7 and x=1.

Mid value of -7 and 1 is the x-coordinate of the vertex.

[tex]\dfrac{-7+1}{2}=-3[/tex]

At x=-3,

[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]

So, the vertex of the function is at (-3,-16).

The given function can be written as

[tex]f(x)=x^2+7x-x-7[/tex]

[tex]f(x)=x^2+6x-7[/tex]

Here leading coefficient is negative, it means it is an upward parabola.

So, we conclude that

1. The graph is increasing on the interval x > -3.

2. The graph is decreasing on the interval x < -3.

3. The graph is positive only on the intervals where x <-7 and where x > 1.

4. The graph is negative only on the intervals where -7 < x < 1.

Therefore, the correct options are 2, 3 and 4.

Answer:

THE CORRECT ANSWERS ARE 2,3,4!

Step-by-step explanation:

TOOK THE TEST ON EDGE

Answer: 13

Step-by-step explanation: 15-2=13