Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.

Option 1: $53 for each ticket plus a shipping fee of $10

Option 2: $55 for each ticket and free shipping

What is a system of equations to represent the costs of the tickets?

Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.

Answers

Answer 1
ur 2 equations would be : 
y = 53x + 10
y = 55x

Related Questions

How to find the product of rational expressions

Answers

1. find the greatest common factors of the numerator & denominator 
2. regroup the factors to make fractions equivalent to 1
3. multiply the remaining factors

Step 1: Factor both the numerator and the denominator...

Step 2: Write one as a fraction

Step 3: Simplify the rational expression

Step 4: Multiply any remaining numerators and/or denominators...

Step 5: Factor both the numerator and the denominator

Step 6: Write as one fraction
 Sorry its a little long..                                                                                                                                                                                

7.What are the steps that you would follow to recreate a triangle using a protractor, a string, and the AAS Congruence Theorem?

Answers

ANSWER:

To construct a triangle given one side and the angle at each end of it with compass and straightedge or ruler. It works by first copying the line segment to form one side of the triangle, then copy the two angles on to each end of it to complete the triangle.  Follow these steps to draw the recreate a triangle using a protector, a string and angle, angle side congruence theorem.

STEP-BY-STEP EXPLANATION:

Step 1: You will need to choose two angle and one length for both triangle. Noted that the two angle and one length must be the same for both triangle.

Step 2: Draw a long line on a paper

Step 3: Use a ruler to measure the length ,and then make a mark on the string.

Step 4: Use the string to mark on the long line.

Step 5: Use a protractor to measure

Step 6: Use AAS Congruence Theorem to prove that both triangle are congruent.

Which equation is satisfied by all of the plotted points?

A. y = 2x
B. y = x + 3
C. y = 2x + 1
D. y = -2x
E. y = x
F. y = 3x -3

Answers

The answer is y= -2x

how to write 2/5 as a decimal

Answers

I think the answer will be 2.5

Let w represent the possible weights of boxes on a delivery truck. For this type of delivery, the weight of the box must be within 8 pounds of a standard lifting weight of 48 pounds. Write an inequality to describe the possible weights of boxes.

A. |w – 48| ≥ 8
B. |w – 48| ≤ 8
C. |w – 48| < –8
D. |w – 48| > –8

Answers

The answer is B. |w – 48| ≤ 8.

w - the weight of the box
The weight of the box must be within 8 pounds: w ≤ 8
The weight of the box must be within 8 pounds of a standard lifting weight of 48 pounds: |w – 48| ≤ 8

How many times does 59 go into 295?

Answers

When you dived 295 by 59

Then answer equal 5
295 = 5
  5
So 59 goes into 295 5 times.

The size S of a tumor in mm cubed is given by S=2^t, where t is the number of months since the tumor was discovered a: what is the total change in the size of the tumor during the first 6 months?
and b: what is the average rate of change in the size of the tumor during the first 6 months?
and c: estimate the rate at which the tumor is growing at t=6?

Answers

When t = 0, S = 2^0 = 1 
When t = 2, S = 2^2 = 4 
Change in size = 4 - 1 = 3 cubic mm. 

Average rate of change = (S(2) - S(0))/(2-0) = (4-1)/2 = 1.5 cubic mm/month 

a. the total change in the size of the tumor during the first 6 months is 64 - 1 = 63 mm³.

b. the average rate of change in the size of the tumor during the first 6 months is 10.5 mm³ per month.

c. the estimated rate at which the tumor is growing at t = 6 is approximately 44.352 mm³ per month.

a) Total change in the size of the tumor during the first 6 months:

To find the total change in the size of the tumor, we need to subtract the initial size from the size after 6 months. Since [tex]\( S = 2^t \)[/tex], we can calculate the size at t = 6 by plugging in t = 6 into the equation. Then, we can subtract the initial size from this value.

[tex]\[ S(6) = 2^6 = 64 \][/tex]

The initial size is given by [tex]\( S(0) = 2^0 = 1 \).[/tex]

So, the total change in the size of the tumor during the first 6 months is 64 - 1 = 63 mm³.

b) Average rate of change in the size of the tumor during the first 6 months:

The average rate of change is given by the total change divided by the number of months. We already found the total change (63 mm³), and the number of months is 6.

[tex]\[ \text{Average rate of change} = \frac{\text{Total change}}{\text{Number of months}} = \frac{63}{6} = 10.5 \][/tex]

So, the average rate of change in the size of the tumor during the first 6 months is 10.5 mm³ per month.

c) Estimate the rate at which the tumor is growing at t = 6:

To estimate the rate at which the tumor is growing at t = 6, we can use calculus to find the derivative of the function [tex]\( S(t) = 2^t \)[/tex] with respect to t. The derivative represents the rate of change of S with respect to t at any given time.

[tex]\[ \frac{dS}{dt} = \frac{d}{dt} (2^t) = (\ln 2) \cdot (2^t) \][/tex]

Now, plug in t = 6 to find the rate of change at that specific time.

[tex]\[ \frac{dS}{dt}\bigg|_{t=6} = (\ln 2) \cdot (2^6) \][/tex]

[tex]\[ \frac{dS}{dt}\bigg|_{t=6} = (\ln 2) \cdot 64 \][/tex]

Since [tex]\( \ln 2 \approx 0.693 \)[/tex], we have:

[tex]\[ \frac{dS}{dt}\bigg|_{t=6} \approx 0.693 \cdot 64 \approx 44.352 \][/tex]

So, the estimated rate at which the tumor is growing at t = 6 is approximately 44.352 mm³ per month.

What is 4/5 4/5 as a mixed number fraction?

Answers

You can't convert that into a mixed number. Unless you are talking about 4/5 + 4/5. The answer would be 1 3/5.

Percent change 74 to 85

Answers

I think the percent change would be 14.8%. I could be wrong. 

The perimeter of the rectangle below is 128 units. Find the length of side VW .
Write your answer without variables.

Answers

I hope this helps you




Perimeter=2 (length +widht )



128=2 (2y+3+3y+1)



64=5y+4


5y=60


y=12



VW=3y+1=3.12+1=37
First we write equation for perimeter of rectangle. Why? because we have been given that it is 128 units and maybe we can calculate something from it.

P = 2a + 2b    where 
a = 2(3y + 1 )  and   b = 2(2y +3)
P = 6y + 2 + 4y + 6 = 10y + 8 = 128
now we can solve for y
10y = 120
y = 12

Now we just express value of y in formula for finding lenght of VW and we got length

Answer is 37

After 3 years, what is the total amount of a compound interest investment of $5,000 at 4% interest, compounded quarterly?


$5,203.71


$5,360.68


$20,480,000


$5,634.13

Answers

5634.13 is the answer to your question

simplify please I need help don't get it

Answers

Hope this helps. If you have any further question ask me in comment.

how do u right this Seven less than the quotient of x and 9

Answers

(x/9)-7 is the same as "Seven less than the quotient of x and 9"

Answer:

(x÷9)−7 is your answer.

Which number belongs to the solution set of the equation below? x - 7 = 35
A) 22
B) 28
C) 42
D) 41

Answers

add 7 to 35 theres your answer aka 42
C) 42 is the answer. Its because you take -7 to the other side which becomes a +7

A company introduces a new product for which the number of units sold S is
S(t)= 200 ( 5- 9/(2+t))
where t is the time in months

(a) Find the avg. value of S(t) during the first year.
(b) During what month does S'(t) equal the avg value during the first year? ...?

Answers

(a) The "average value" of a function over an interval [a,b] is defined to be 

(1/(b-a)) times the integral of f from the limits x= a to x = b. 

Now S = 200(5 - 9/(2+t)) 

The average value of S during the first year (from t = 0 months to t = 12 months) is then: 

(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12 

or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12 

This equals 200/12 * (5t -9ln(2+t)) 

Evaluating this with the limits t= 0 to t = 12 gives: 

708.113 units., which is the average value of S(t) during the first year. 


(b). We need to find S'(t), and then equate this with the average value. 

Now S'(t) = 1800/(t+2)^2 

So you're left with solving 1800/(t+2)^2 = 708.113 

I'll leave that to you

3 times a number divided by 2

Answers

the equation will be (3x)divided by 2

25% of what number is 17

Answers

well, 25% of 68 is 17
therefore, the answer is 68
the answer would be 68 i believe

The daily rainfall during a two week period in April was: 1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. What was the mode during this two week period?

Answers

the answer would be 0 the way i think about mode is mode most so you look for what ever number you see the most and then you have it so just remember mode most i hope that helps

Answer: 0.3 is the mode

Step-by-step explanation: The mode is what number shows up the most and 0.3 shows up 3 times.

0 shows up twice

Jim Debt was reviewing the total accounts receivable. This month he received $80,000 from Credit customers. This represented 40 percent of all receivables due. The total amount of accounts receivable is ...?

Answers

40% = 80,000

20% = 40,000

x5 = 100% = 200,000

A piece of furniture has a retail price of $3,200 and is on sale at a 30% discount. how much money will be saved if the piece of furniture is purchased at the sale price?

Answers

.30 × 3,200 = 960

$960 will be saved

which is greater 14 ounces or 0.4 kilograms

Answers

Final answer:

After converting 0.4 kilograms to ounces using the appropriate conversion factors, it is determined that 0.4 kilograms is slightly greater than 14 ounces.

Explanation:

To determine which is greater, 14 ounces or 0.4 kilograms, we first need to use the appropriate conversion factors to compare the two measurements in the same unit. Since 1 pound is equivalent to 0.4536 kilograms, and 1 pound is also equal to 16 ounces, we need to convert one of the measures so that both are in either ounces or kilograms for a direct comparison.

Converting 0.4 kilograms to ounces:

1 kilogram is approximately 2.20462 pounds (since 1 pound is 0.4536 kg).So, 0.4 kilograms is 0.4 * 2.20462 pounds, which is approximately 0.882 pounds.Next, we convert 0.882 pounds to ounces by multiplying by the conversion factor of 16 ounces per pound: 0.882 * 16 = 14.11 ounces (approximately).

Now we have both weights in ounces, and we can see that 14.11 ounces is slightly more than 14 ounces. Therefore, 0.4 kilograms is greater than 14 ounces.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ2

Ryan throws a tennis ball straight up into the air. The ball reaches its maximum height at 2 seconds. The approximate height of the ball x seconds after being thrown is shown in the table.

y = –17(x)(x – 4)
y = –16(x)(x – 4)
y = –16(x – 2)^2 + 68
y = –17(x – 2)^2 + 68

Answers

Answer: C - Y = -16(x- 2)^2 + 68

Step-by-step explanation:

Edge 2023

Final answer:

The correct quadratic equation that models the ball's vertical motion is y = –16(x – 2)² + 68, since it reflects the ball reaching its maximum height at 2 seconds and the vertex of the parabola being the highest point of the ball's path.

Explanation:

The question involves finding an equation that models the height of a tennis ball thrown straight up into the air after a certain number of seconds. Given that the ball reaches its maximum height at 2 seconds, we can determine which equation best describes the ball's vertical motion. The correct equation will show the ball peaking at 2 seconds and then descending symmetrically in a parabolic path.

The equation that correctly models the motion of the ball in this context is y = –16(x – 2)² + 68. This quadratic equation is in the vertex form of a parabola, where the maximum height is represented by the vertex point (2, 68), and the vertex is the highest point of the parabola since the coefficient of the squared term is negative.

When x is 2 seconds, the equation simplifies to y = –16(0)²+ 68, which results in y = 68, demonstrating that the maximum height of 68 is indeed reached at 2 seconds after the ball is thrown, thus supporting that this is the correct quadratic equation for the scenario.

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y.

750x + 17y = 141.61
300x + 30y = 75.90
Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution?

a. The cost of electricity is $0.17 per unit.
b. The cost of natural gas is $0.20 per unit.
c. The cost of electricity is $0.72 per unit.
d. The cost of natural gas is $0.83 per unit.

Answers

D: The cost of natural gas is $0.83 per unit.

Answer:

Option d is correct

The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

Given the system of equation:

750x + 17y = 141.61                 ......[1]

300x + 30y =75.90                 ......[2]

where x is the cost of electricity and y is the costs of natural gas.

Multiply equation [1] by 30 and equation [2] by 75 we get;

[tex]30 \cdot (750x + 17y) = 30 \cdot 141.61[/tex]

Simplify:

22500x + 510y = 4248.3        ......[3]

[tex]75 \cdot (300x + 30y) = 75 \cdot 75.90[/tex]

Simplify:

22500x + 2250y = 5692.5      .......[4]

Subtract equation [3] from  [4]  we get;

1740 y = 1444.2

Divide by 15 both sides, we get

116 y = 96.28

Since, Katrina solves the above system using linear equation and arrives at the equation :

116 y = 96.28

Division property of equality states that  divide the same number to both sides of an equation:

Divide by 116 to both sides of an equation, to solve for y;

[tex]\frac{116 y}{116} =\frac{96.28}{116}[/tex]

Simplify:

y = 0.83 where y represents the cost of natural gas

Therefore, the cost of natural gas y ,is, $ 0.83 per unit.



Find the number of years it would take for $1,200 to earn simple interest of $324 at an annual interest rate of 6% per year.

Answers

years=100x S.I
________
rate x principal

What is the length of the altitude of the equilateral triangle below

Answers

Answer

Find out the altitude of the equilateral triangle .

To proof

By using the trignometric identity.

[tex]tan\theta = \frac{Perpendicular}{base}[/tex]

As shown in the diagram

and putting the values of the angles , base and perpendicular

[tex]tan 60^{\circ} = \frac{a}{4\sqrt{3}}[/tex]

[tex]tan 60^{\circ} = \sqrt{3}[/tex]

solving

[tex]\sqrt{3} = \frac{a}{4\sqrt{3}}[/tex]

[tex]a = \sqrt{3}\times 4 \sqrt{3}[/tex]

As

[tex]\sqrt{3}\times \sqrt{3} = 3[/tex]

put in the above

a = 4 × 3

a = 12 units

The  length of the altitude of the equilateral triangle is 12 units .

Option (F) is correct .

Hence proved






Answer:

F. 12

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the length of the altitude of our given triangle.

Since we know that altitude of an equilateral triangle splits it into two 30-60-90 triangle.

We will use Pythagoras theorem to solve for the altitude of our given triangle.

[tex]\text{Leg}^2+\text{Leg}^2=\text{Hypotenuse}^2[/tex]

Upon substituting our given values in above formula we will get,

[tex](4\sqrt{3})^2+a^2=(8\sqrt{3})^2[/tex]

[tex]16*3+a^2=64*3[/tex]

[tex]48+a^2=192[/tex]

[tex]48-48+a^2=192-48[/tex]

[tex]a^2=144[/tex]

Upon taking square root of both sides we will get,

[tex]a=\sqrt{144}[/tex]

[tex]a=12[/tex]

Therefore, the length of the altitude of our given equilateral triangle is 12 units and option F is the correct choice.

9x-3y=3; 3x+8y=-17


I want to know the steps and answers

Answers

9x - 3y=3
(-)9x+16y=-51. (Multiply by 3)

-19x=54

X= -54/19
9x-3y=3
3x+8y=-17

9x-3y=3
9x-3=3y
3y=9x-3
y=x-1
plug it into the other equation

3x-8y=-17
3x - 8(x-1) = -17
-5x + 8 = -17
-5x = -25
x = 5
plug it in again

y = x - 1
y = 5-1
y = 4

21. The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2 l + 2 w to find the length of the frame if the width is 14 inches. 21. The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2 l + 2 w to find the length of the frame if the width is 14 inches.

Answers

P = 2l + 2w
72 = 2l + 2(14) = 2l + 28
2l = 72 - 28 = 44
l = 44/2 = 22 inches.
So here's the solution to the given problem above.
Given that the perimeter of the frame is 72 inches and the width is 14 inches, we are going to look for the length. The formula for perimeter is 2L + 2W.
So let us substitute the values.
P = 2L + 2w
72 = 2L + 2(14)
72 = 2L + 28
72 -28 = 2L
44 = 2L <<<divide both sides by 2
22 = L
So the length of the picture frame is 22 inches.
To check, 22 in x 2 is 44 inches + 14 x 2 is 28 inches. 28 + 44 is 72 inches.
Hope this answer helps. Thanks for posting your question.

Solve for x.

−5x−4(x−6)=−3

Enter your answer in the box.
x =

Answers

opening up the bracket
-5x-4x+24= -3
-9x= -3 - 24
-9x = -27
divide both sides by -9
x= 3

How many regions would a net for a three-dimensional solid like the one shown have?

Answers

You can count that there are 2 same big bases. They are hexagons because they have 6 sides. On the side of object we can count 6 same 4 side surfaces.

Which brings us with total of 8 regions. 2 bases and 6 sides

Answer:

A

Step-by-step explanation:

your new cell phone plan charges $50 per month for 400 minutes of talk time. the plan charges $0.10 for each additional minute you talk. you use 50 additional minutes this month. what is your bill for the month?

Answers

 55 dollars would be the answer

Answer:

$55

Step-by-step explanation:

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