The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?

Answer:

Each cupcake cost $2.50 and each brownie cost $2.00

Step-by-step explanation:

Let x represent the price of each cupcake and let y represent the price of each brownie.

Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:

x + y = 4.50                (1)

Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:

3x + y = 9.50              (2)

To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:

2x = 5

x = $2.50

Put x = $2.50 in equation (1):

2.50 + y = 4.50

y = $2.00

Therefore each cupcake cost $2.50 and each brownie cost $2.00

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9

Answer:

9/13 = 0.6923

Step-by-step explanation:

We start by defining

A as event that head was flipped

B1 = event that coin is biased

B2 = event that it is unbiased

P(B1) = 3/5

P(B2) = 2/5

P(A|B1) = 3/4

P(A|B2) = 2/4 = 1/2

When we solve this using bayes theorem we have to find

p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)

= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5

= 0.45/0.45+0.2

= 0.45/0.65

= 0.6923

please brainliest

Answer:

3

Step-by-step explanation:

[tex]\huge\mathsf{\red{\underline{\underline{Answer}}}}[/tex]

[tex]{\green{\dashrightarrow}}[/tex]Players score points by shooting the ball through the hoop. Basketball has become popular for a number of reasons: Basketball is fun to play: Basketball has a very fast and exciting pace of play. Also, each player on the court gets to play both offense and defense and the roles of each player are only loosely defined.

Answer:

480 inches cubed

Step-by-step explanation:

Step-by-step explanation:

4) lower, greater

5) The precision of the instrument would be 0.1 cm

Answer:

the correct answer is c

Step-by-step explanation:

the correct answer is c

Answer:

35

Step-by-step explanation:

sdfghjkolkgdsdfghjkl

The possible number of the group the movies will be 840.

Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.

Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.

The combinations will be calculated as:-

Combination = ⁷C₄

Combination = ( 7 x 6 x 5 x 4 )

Combination = 840

To know more about permutation and combination follow

https://brainly.com/question/28065038

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Answer:

[tex]x = \frac{16}{3}[/tex]

Step-by-step explanation:

[tex]3 \times x = 8 \times 2\\3x = 16\\x = \frac{16}{3}[/tex]

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

Answer: x-int : (-2,0), (-5,0)

y-int: (0,10)

Step-by-step explanation:

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Answer:  x ≥ 4.50

Because the cost is at least $4.50 per pound

Step-by-step explanation:

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]

Since tan(3pi/4) = -1

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]

[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]

Answer:

880

Step-by-step explanation:

Answer:

Rs. 3,960 is the cost of carpeting.

Answer:

9 ÷ 2

Step-by-step explanation:

or draw that small house thing over the 9 an place 2 to the left of it.

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

Answer:

8.6cm

Step-by-step explanation:

V = 4/3 pi r^3 = 334, solve for r = 4.30

double for diameter = 8.61

Step-by-step explanation:

you can see there

just click the photo

Answer:

y =  3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 10 )

m = [tex]\frac{10-4}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

The y- intercept c = 4

y = 3x + 4 ← equation of line

Answer:

39000

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

Answer:

x = 2

Step-by-step explanation:

The "axis of symmetry" of a quadratic graph is the vertical line through the vertex.  Identifying the vertex in the given diagram as (2, 6), we can immediately write the axis of symmetry as x = 2.

Answer: 11

Step-by-step explanation:

Given

The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]

So, point must satisfies the line i.e.

[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]

Therefore, the value of p is 11.

9/2 Sq. units is a Right answer...

Answer:

Step-by-step explanation:

Given ΔABC with vertices:

We observe that

AB is vertical segment with length:

BC is horizontal segment with length:

The area:

We have

5/7 = 60/84

11/12 = 77/84

Let the rational numbers to be searched be x, then:

60/84 < x < 77/84

-> x belongs to {61/84; 62/84; ....... 76/84}

Answer:

slope of line is 3/5

Step-by-step explanation:

slope is the ratio of the change in the y-values over the change in the x-values

in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5

if you go from pt B to pt C, you rise by 6 and go to the right by 10

however, 6/10 can be reduced to 3/5

if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)

change in y-values is 5-2 or 3

change in x-values is 5-0 or 5

(5-2)/(5-0) = 3/5

Answer: 154

Step-by-step explanation: trust

Answer:

V = 5cm * 2 cm * 8 cm

Step-by-step explanation:

Volume is the length times the width times the height

V = l*w*h

V = 5cm * 2 cm * 8 cm