A company provides bus trips to various events for adults and children. The company charges $15 for each adult and $8 for each child for a trip to an upcoming play. The bus has a maximum capacity of 40 people, and the company needs to earn a minimum of $400 from this event to make a profit. Write a system of inequalities that represents this situation and graph it.

Answer:

x = 4.5y

Step-by-step explanation:

x = pudding

y = teaspoons

y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar

Answer:

its 100 because 6+24+18+20+32=100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

If you’re looking for in total, then it’s 100.

Answer:

kite; P=45–√+413−−√ units; A=32 units2

Step-by-step explanation:

Find the length of each side using the Distance Formula.

Find the length of side HA.

HA=(−10−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−−√

=(−4)2+(6)2−−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Find the length of side AT.

AT=(−6−(−10))2+(6−4)2−−−−−−−−−−−−−−−−−−−−√

=(4)2+(2)2−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side TC.

TC=(−2−(−6))2+(4−6)2−−−−−−−−−−−−−−−−−−−√

=(4)2+(−2)2−−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side HC.

HC=(−2−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−√

=(4)2+(6)2−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Therefore, HA=HC=213−−√ and AT=TC=25–√.

Since there are two pairs of congruent consecutive sides, HATC is a kite by definition.

Find the perimeter of the kite as the sum of the four sides.

P=213−−√+25–√+25–√+213−−√=45–√+413−−√ units

To find the area of the kite, first find the lengths of the diagonals AC and TH using the Diatance Formula.

The figure shows the same quadrilateral H A T C as in the beginning of the task. Diagonal A C is perpendicular to diagonal T H.

Find the length of diagonal AC.

AC=(−2−(−10))2+(4−4)2−−−−−−−−−−−−−−−−−−−−√

=(8)2+(0)2−−−−−−−−−√

=64−−√=8

Find the legth of diagonal TH.

TH=(−6−(−6))2+(−2−6)2−−−−−−−−−−−−−−−−−−−−−√

=(0)2+(−8)2−−−−−−−−−−√

=64−−√=8

Find the area of the kite using the formula for the area of a kite, A=12d1d2.

Substitute 8 for d1 and 8 for d2.

A=12(8)(8)=32 units2

Therefore, the perimeter of the kite is 45–√+413−−√ units and the area is 32 units2.

Answer:

Step-by-step explanation:

r = 4 units

Given shape is 3/4 part of circle.

Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]

                               [tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]

                                = 37.68 square units

Answer:

The situation is an exponential function of exponential growth with a factor of 1.034 and the initial amount of $5,250.

Compound interest is when both the amount invested and the interest already accrued earn an interest. This means that when there is a compound interest, the amount invested increases by a certain amount.

The equation that can be used to represent compound interest is:
FV = PV(1 + r)^n

Where

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Answer:

x=11

Step-by-step explanation:

you need to get x by itself so just add it to the other side and you get x=11

Answer:

x =11

Step-by-step explanation:

x - 3 = 8

To solve the equation, we have to isolate 'x'.

To isolate 'x',  we have to add 3 to both sides.

x - 3 + 3 = 8 + 3

x = 11

Answer:

4188.79

Step-by-step explanation:

Formula for volume of a sphere: let V be volume and r be diameter:

V=(4/3)pi(r)^3

Pi can be written as 3.141593

Check the picture below on the left-hand-side.

we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.

now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm  so which is it?

well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then

[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]

Check the picture below on the right-hand-side

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

Answer:

324 square inches

Step-by-step explanation:

just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer

Answer: domain (7,8)

Step-by-step explanation: range is the Y-value and domain is the x-value

Answer:

A. Range

The value 8 is the range

Step-by-step explanation:

The range is all y-values or outputs of a function.

Answer:

should be A

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

Here

Step-by-step explanation:

Input for x on first input is 7!      2*7+4

Input for x on second input is 9     2*9+4

Input for x on third input is 15      2*15+4

Answer:

(7, 18) (9, 22) (15, 34)

Step-by-step explanation:

so all you have to do is substitute the values given

substitute the input into x

wait a minute.. its output so what you ACTUALLY have to do is

18 = 2x + 4

then solve for the inputs

14 = 2x

x = 7

22 = 2x + 4

18 = 2x

x = 9

34 = 2x + 4

30 = 2x

x = 15

Answer:

-7

Step-by-step explanation:

In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].

-2x² -x -1= 0

Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.

a= -2, b= -1, c= -1

D

= (-1)² -4(-2)(-1)

= 1 -4(2)

= 1 -8

= -7

Implications of discriminant

Here, we will apply the concept of Vertically Opposite angle property and central angle property ;

So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°

And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;

[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]

[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]

Hence, we can conclude that ;

Answer:

the answer is 3 3/7 or 24/7

Answer:

yehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

Measure of side a: 3

Measure of side b: 4

Measure of side c: 5

Side a/c: 3/5

Side b/c: 4/5

Side a/b: 3/4

Step-by-step explanation:

Answer:

Answer
See answers below

I hope this helps you

:)

Answer:

no

Step-by-step explanation:

This answer is no because -5 and 7 are 12 units apart

Answer:

151100 because hundred contain two zeros

Solution:

Step-1: Find the data.

Data obtained (Smallest to biggest):

Step-2: Count the number of digits.

Step-3: Use the formula "Total digits/2".

The 9th digit in the data is the median.

Step-4: Revise the data.

The median value of the line plot is 110.

Answer:

[tex]110 = \text{median}[/tex]

Step-by-step explanation:

We can see that there are:

[tex]\rightarrow \ \ \text{1 "x" on 70} \ \ \ \rightarrow \ \ 70}[/tex]

[tex]\rightarrow \ \ \text{1 "x" on 80} \ \ \ \rightarrow \ \ 80}[/tex]

[tex]\rightarrow \ \ \text{2 "x" on 90} \ \ \ \rightarrow \ \ 90,\ 90}[/tex]

[tex]\rightarrow \ \ \text{3 "x" on 100} \ \ \rightarrow \ \ 100,\ 100, \ 100}[/tex]

[tex]\rightarrow \ \ \text{4 "x" on 110} \ \ \rightarrow \ \ 110,\ 110, \ 110, \ 110}[/tex]

[tex]\rightarrow \ \ \text{4 "x" on 120} \ \ \rightarrow \ \ 120,\ 120, \ 120, \ 120}[/tex]

[tex]\rightarrow \ \ \text{2 "x" on 130} \ \ \rightarrow \ \ 130,\ 130[/tex]

[tex]\rightarrow \ \ \text{1 "x" on 140} \ \ \rightarrow \ \ 140[/tex]

Now, let's put the values in descending form (Greatest --- Smallest). Start from the bottom and go to the top.

[tex]\rightarrow140, 130, 130, 120, 120, 120, 120, 110, 110, 110, 110, 100, 100, 100, 90, 90, 80, 70[/tex]

To find the median of the line plot, we need to check how many numbers are in total. Then, use the correct formula to find out which digit is the median. Lastly, use the "descending" data to find the median.

[tex]\rightarrow 1 + 1 + 2 + 3 + 4 + 4 + 2 + 1[/tex]

[tex]\rightarrow 7 + 11[/tex]

[tex]\rightarrow 18 \ \text{digits}[/tex]

Since 18 is an even number, the correct formula to use is [tex]\frac{n}{2}[/tex], where n is the total digits in the line plot.

[tex]\rightarrow \dfrac{n}{2}[/tex]

[tex]\rightarrow \dfrac{18}{2} = 9^{\text{th}}[/tex]

Now, let's take a look at our "descending" data to see which is the median. Remember, the ninth digit is the median.

[tex]140, 130, 130, 120, 120, 120, 120, 110, \boxed{\bold{110}}, 110, 110, 100, 100, 100, 90, 90, 80, 70\\[/tex]

Thus, 110 is the median.

Answer:

I guess 342 is the answer.

Step-by-step explanation:

Because the sum of all angles of a ️(triangle) is 360 degree.

Answer:

Step-by-step explanation:

(isosceles triangle base angles are equal)

(all angles of triangle are equal to 180)

38 + x + x = 180

2x = 180 - 38

2x/2 = 142/2

x = 71

Answer: I'm sorry I could not give you the actual answer but I narrowed it down to either B or C.

Answer:

six miles total

Step-by-step explanation:

adding the 4.25s together and count how many you added till you reach the price

Mia took the taxi ride for 7 miles not including the tip and pickup fee.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, that Mia took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05.

∴ Her taxi charge excluding the pickup fee is,

= (31.05 - 1.30) dollars.

= 29.75 dollars.

So, the no. of miles she rides is,

= (29.75/4.25) dollars.

= 7 miles.

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Answer:

(4,30)

Step-by-step explanation:

3x+y=42

y=8x-2

3x+8x-2=42

11x-2=42

+2 +2

11x=44

÷11 +11

x=4

Answer:

$27

Step-by-step explanation:

135 / 5 = 27

each friend paid $27.