Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21

Answers

Answer 1

Answer:

i agree I can't really explain why though sorry

Answer 2

Heather's mom's estimation is wrong, as they will only save $96.

What is a percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.

Let the original price of the ticket be x,

70% of x = 56

x = 56x100/70

x = 80

That means, the regular price is $80

On a regular day, ticket will cost = 80x4 = $320

On the special ticket price cost = 56x4 = $224

The saved priced = 320-224 = $96

Hence, Heather's mom's estimation is wrong, as they will only save $96.

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ1


Related Questions

A loan is paid in 15 years with a total of $192.000. It had a 4% interest rate that compounded monthly. What was the principal?

Round your answer to the nearest dollar and do not include dollar sign

Answers

I really don’t know but I feel like if it’s 4% it should be the nearest

9/10 - _ = 1/5 mathematics

Answers

Answer:

x=7/10

Step-by-step explanation:

1/5=2/10

9/10-       =2/10

Substitute the blank with X

9/10-  X  =2/10

x=7/10

Answer:

7/10

Step-by-step explanation:

9/10 - _ = 1/5

Let's represent the unknown as x

Therefore,

9/10 - x = 1/5

9/10 - 1/5 = x

x = 9/10 - 1/5 = 7/10

Can someone explain it step by step ?​

Answers

Answer:

1. (x - 1) × (x + 3)

2. x = 3 and y = -2

Step-by-step explanation:

x² + 2x - 32x + 3y = 0; y = 3x - 11  

rewrite the equation:

y = 3x - 11; 2x + 3y = 0

solve y = 3x - 11 for the y:

y = 3x - 11

substitute 3x - 11 for y in 2x + 3y = 0;

2x + 3y = 0;

2x + 3y = 0

2x + 3 (3x - 11) = 0

11x - 33 = 0 (simplify both sides of the equation)

11x - 33 + 33 = 0 + 33 (add 33 to both sides)

11x = 33

11x/11 = 33/11 (divide both sides by 11)

x = 3

subtitute 3 for x in y = 3x - 11

y = 3x - 11

y = (3)×(3) - 11

y = -2  

I showed one equation because the other is self explanatory, hope this helps.

What is the quotient of 15a4b3/12a2b ? Assume that the denominator does not equal zero.

Answers

Answer:

[tex]\frac{5a^2b^2}{4}[/tex]

Step-by-step explanation:

Answer fast please!!!

Answers

The correct answer is C. 58

Hope this helps!

Step-by-step explanation:

the answer is 58 this is the result I hope I've helped

Subtract and simplify. 12 3\8 − 9 1\8 =

Answers

Answer:

[tex]3\dfrac{1}{4} \ \ or \ \ 3,25[/tex]

Step-by-step explanation:

[tex]\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25[/tex]

A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems. show steps for me

Answers

Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

write this fraction as a decimal use bar notation if neccesary
3 15/44

Answers

Answer:

3.34

Step-by-step explanation:

First step: 3x44=132, 132+15=147. Then use 147 as numerator and 44 as denominator.

Second step: Divide 147/44= 3.3409090909091, round and get 3.34.

Hope this helps.

"HKA
Erloka borrowed money from her brother to buy a new phone, and is paying off a fixed amount
each week

Answers

Answer:

$76

Step-by-step explanation:

NEED HELP ASAP (ILL GIVE BRAINLIST)

Answers

Answer:

the answer is 33 9/11

Step-by-step explanation:

multiply the fractions

.

.

Answer:

33 9/11

Step-by-step explanation:

22 6/11 x 1 1/2

Convert into improper fractions.

248/11 x 3/2

Reduce the numbers with the greatest common factor 2.

124/11 x 3

Calculate

372/11

=33 9/11

Hope this helps :)

When the input of the function is -1, What is the output of the function?

Answers

Answer:

2

Step-by-step explanation:

The graph clearly shows that when x = -1, y = 2.

Thus, the output of this function is 2.

1/2(-4+6x)=1/3x+2/3(x+9)

Answers

Answer:

X=4

Step-by-step explanation:

1. Simplify the expression

2. Multiply the fractions:

3. Break up the fraction:

4. Find the greatest common factor of the numerator and denominator:

5. Factor out and cancel the greatest common factor:

6. Simplify the fraction:

7. Multiply the fractions:

8.Solve by distributing:

9. Simplify the arithmetic:

10.Break up the fraction:

11. Find the greatest common factor of the numerator and denominator:

12. Factor out and cancel the greatest common factor:

13.Combine the fractions:

14. Combine the numerators

15. Find the greatest common factor of the numerator and denominator:

16. Factor out and cancel the greatest common factor:

17. Simplify the right side:

Can somebody please help this is honestly due tomorrow

Answers

Answer:

I am almost completely sure its 4.

Step-by-step explanation:

I dont mind brainiests by the way

g A pipe of negligible diameter is to be carried horizontally around a corner from a hallway 8 ft wide into a hallway 4 ft wide. What is the longest length that the pipe can be

Answers

The length of the longest pipe that can be carried horizontally is given by the minimum value of the function of the length of the pipe.

The longest length that the pipe can be is approximately 16.648 feet.

Reasons:

The length of the pipe, L

Width of the first hallway = 8 ft.

The width of the second hallway = 4 ft.

We have;

(L - a)·sin(θ) = 8

a·cos(θ) = 4

Therefore;

L - a = 8·csc(θ)

a = 4·sec(θ)

L(θ) = 8·csc(θ) + 4·sec(θ)

At the minimum length, we have;

L'(θ) = 4·sec(θ)·tan(θ) - 8·csc(θ)·cot(θ) = 0

4·sec(θ)·tan(θ) = 8·csc(θ)·cot(θ)

Therefore;

[tex]\displaystyle \frac{sec(\theta) \cdot tan(\theta)}{csc(\theta) \cdot cot(\theta)} = \frac{sin(\theta) \cdot tan(\theta) \cdot tan(\theta) }{cos(\theta) } =tan^3(\theta) = \frac{8}{4}[/tex]

[tex]\displaystyle tan(\theta) =\sqrt[3]{\frac{8}{4} } ={\sqrt[3]{2} }[/tex]

θ = arctan([tex]\sqrt[3]{2}[/tex]) ≈ 51.56°

a = 4×sec(arctan([tex]\sqrt[3]{2}[/tex]))

a ≈ 6.434

L = 8·csc(θ) + a = 8 × csc(arctan([tex]\sqrt[3]{2}[/tex])) + 4×sec(arctan([tex]\sqrt[3]{2}[/tex])) ≈ 16.648

The longest length that the pipe can be, L ≈ 16.648 ft.

Learn more here:

https://brainly.com/question/13602432

The longest length of the pipe is an illustration of trigonometry functions

The longest length of the pipe is 16.64 ft

The widths of the hallways are given as:

[tex]\mathbf{w_1 = 8}[/tex]

[tex]\mathbf{w_2 = 4}[/tex]

See attachment for the diagram that represents the scenario

From the diagram, we have:

[tex]\mathbf{sin(\theta) = \frac 4x}[/tex]

[tex]\mathbf{cos(\theta) = \frac 8y}[/tex]

Make x and y the subject

[tex]\mathbf{x = \frac 4{sin(\theta)}}[/tex]

[tex]\mathbf{y = \frac 8{cos(\theta)}}[/tex]

Where, the total length (L) of the pipe is:

[tex]\mathbf{L = x + y}[/tex]

So, we have:

[tex]\mathbf{L = \frac 4{sin(\theta)} + \frac 8{cos(\theta)}}[/tex]

Differentiate

[tex]\mathbf{L' = -\frac{4cos(\theta)}{sin^2(\theta)} + \frac{8sin(\theta)}{cos^2(\theta)}}[/tex]

Set to 0

[tex]\mathbf{-\frac{4cos(\theta)}{sin^2(\theta)} + \frac{8sin(\theta)}{cos^2(\theta)} = 0}[/tex]

Rewrite as:

[tex]\mathbf{\frac{4cos(\theta)}{sin^2(\theta)} = \frac{8sin(\theta)}{cos^2(\theta)}}[/tex]

Divide through by 4

[tex]\mathbf{\frac{cos(\theta)}{sin^2(\theta)} = \frac{2sin(\theta)}{cos^2(\theta)}}[/tex]

Cross multiply

[tex]\mathbf{2sin^3(\theta) = cos^3(\theta)}[/tex]

Divide both sides by [tex]\mathbf{2cos^3(\theta)}[/tex]

[tex]\mathbf{tan^3(\theta) = \frac 12}[/tex]

Take cube roots of both sides

[tex]\mathbf{tan(\theta) = \sqrt[3]{\frac 12}}[/tex]

[tex]\mathbf{tan(\theta) = 0.7937}[/tex]

Take arc tan of both sides

[tex]\mathbf{\theta = tan^{-1}(0.7937)}[/tex]

[tex]\mathbf{\theta = 38.4}[/tex]

Substitute [tex]\mathbf{\theta = 38.4}[/tex] in [tex]\mathbf{L = \frac 4{sin(\theta)} + \frac 8{cos(\theta)}}[/tex]

[tex]\mathbf{L = \frac 4{sin(38.4)} + \frac 8{cos(38.4)}}[/tex]

Evaluate

[tex]\mathbf{L = 6.43+ 10.21}}[/tex]

[tex]\mathbf{L = 16.64}}[/tex]

Hence, the longest length of the pipe is 16.64 ft

Read more about lengths at:

https://brainly.com/question/13147699

Solve for b.

b+23=114

Enter your answer as a fraction in simplest form in the box.

b =

Answers

b = 91

b + 23 = 114
- 23 - 23
b = 91

Not quite sure how this would appear as a fraction.

An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91.

What is the equation?

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

b + 23 = 114

Add -23 both sides

b + 23 - 23 = 114 - 23

b + 0 = 91

b = 91

Hence "An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91".

For more about the equation,

brainly.com/question/10413253

#SPJ3

A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?

Answers

Answer:

6[tex]\frac{2}{3}[/tex] inches tall

Step-by-step explanation:

4:6 = x:10

We can set it up like this:

[tex]\frac{4}{6}=\frac{x}{10}[/tex]

And then cross multiply & solve:

40 = 6x

6[tex]\frac{2}{3}[/tex] = x

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The function f(t) = t2 + 4t - 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your
work.

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on
the graph. How do you know?

Part C: Determine the axis of symmetry for f(t).

Answers

Answer:

a: [tex]f(t)=(t+2)^2-18[/tex]

b: vertex: (-2, -18)

   minimum

c: x = -2

Step-by-step explanation:

Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.

Part A ===============

Start with the given function in this form:

[tex]f(x)=ax^2+bx+c\\t^2+4t-14[/tex]

We need an additional number, d, and we'll calculate it like this:

[tex]d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4[/tex]

d needs to be added and subtracted at the same time. That way we do not change the value of the expression:

[tex]ax^2+bx+d-d+c\\\\t^2+4t+4-4-14[/tex]

And you can separate them like this to make it easier to read:

[tex](t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18[/tex]

Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial.  The factored form is just:

[tex](x+e)^2[/tex]

where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.

[tex](t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4[/tex]

Put that all together and you get the answer:

[tex]f(t)=(t+2)^2-18[/tex]

Part B ===============

Vertex form is this:

[tex]f(x)=a(x-h)^2+k[/tex]

where (h, k) is the vertex and a is the scale factor.

In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.

The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.

Part C ==============

The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.

The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.

Sorry if that got too long and hard to follow, I can clarify any part of it if needed.

the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?​

Answers

Answer:

700 liter

Step-by-step explanation:

because 1000 * 7/10 is 700

The graph of y = (x -k)? is shown below.
у
61
5
لما له
1
-3-2-1
1 2 3 4 5 6 7
X
1
-2
-3
What is the value of k?

Answers

Answer:

(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:

divide £100 into 1:4

Answers

Answer: the answer is 25

Step-by-step explanation:

First do 100/1

Then do 1 x 100/1 x 4

so then divide 100 by 4 =

25/1 =

25

HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35

Answers

Answer:

Step-by-step explanation:

just do 35-17

Answer:

Step-by-step explanation:

first find b.

To find b, subtract 17 from 35.

35 - 17 = b

35 - 17 = 18

next, add 17 and 18 to see if it equals 35.

17 + 18 = 35

so, b = 18.

math for college readiness question. please help ​

Answers

Answer: 3

Step-by-step explanation:

[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]

b. Symbols Write an expression for the number of feet in x inches.
Help!!

Answers

Answer:

  x/12

Step-by-step explanation:

There are 12 inches in a foot.

  feet in x inches = x/12

_____

With units, you have ...

  (x in) × (1 ft)/(12 in) = x/12 ft

The integers set included in the interval -45 x <3 is {-4,-3,-2,-1,0,1,2,3}.
True or False

Answers

Answer:

False

Step-by-step explanation:

-45x < 3

-x <  3/45

-x <  1/15                  Multiply by -1 because x is negative and remember to

                                 change all parts to its opposite.

Therefore  x  >  -1/15      

158) -.- A) P-3 in B) P-86 C) P-92 in D) P96 4​

Answers

Answer:

P = 83 in

Step-by-step explanation:

For this one, all we need to do is substitute 7 for x and 4 for y:

3x + y = ?

3(7) + 4 =?

21 +4 = ?

21 + 4 = 25 in.

Now for the next one:

4y = ?

4(4) = ?

4(4) = 16

Now we solve the final side:

6x = ?

6(7) = ?

6(7) = 42

Now to find P, we must add them all together:

25 + 16 + 42 = 83

Therefore P = 83

Answer:

A) P = 83

Step-by-step explanation:

-=======================-

3x + y

3(7) + 4 =

21 + 4 =

25

-=======================-

6x

6(7)

42

-=======================-

4y

4(4)

16

-=======================-

25 + 16 + 42 = 83

Hope this helps.

There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?

Answers

Answer:

I know answer. give me money I will tell everything..

Select the geometric figure that correctly matches with the following formula:

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

Answers

Answer:

Circle

Step-by-step explanation:

The area of a circle is

[tex]\pi r^{2}[/tex]

A. circle

The area of a circle is 2[tex]\pi[/tex]

What is the formula for the circle?

The Circle Formulas are expressed as,

the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]

The collection of all points equidistant from a fixed point in a plane is called a circle.

the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.

Learn more about Area of a Circle here

https://brainly.com/question/402655

#SPJ2

A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now

Answers

Answer:

$15

Step-by-step explanation:

12+3+15

Answer:

Bill Amount: $12

Tip Percent: 25%

Divide By: 1  

= $15

Brian has half of his investments in stock paying a 5% dividend and the other half in a stock paying 9% interest. If his total annual interest is $420, how much does he have invested?

Answers

The amount invested in each stock, the stock interest rate and the

duration of the investment, determines the interest.

Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.

Reasons:

Let X represent the sum of the amount Brian invested, we have;

Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]

Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]

Total annual interest = $420

Required:

The amount invested in the stocks

Solution:

The amount invested is found as follows;

[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]

0.025·X + 0.045·X = 420

0.07·X = 420

[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]

The amount he invested = $6,000 ($3,000 in each stock)

Learn more here:

https://brainly.com/question/20612739

The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?

Can someone explain how to do this.

Answers

The slope is the constant rate of change. In this case, the number is being multiplied by 3 each time

The slope is 3
“x represents number of chocolate truffles sold each day”
Represents amount of chocolate truffles sold per day
Other Questions
if 20 boys can sweep the school compound in 8 minutes, how many boys can sweep it in 10minutes what is the ratio of $1 to 60 cents? The average of max's three tests is an 84 what must he get on a fourth test to raise his average to an 87 administration is the placement of medication under the tongue where it is allowed to dissolve slowly. Glands that have branched ducts and secretory cells that form sacs at one end of the ducts are classified as ___________ glands. Help me please!!!! ASAP An export of rain forests in the region is a.coffee. b. cotton. c. timber. d. sugarcane. You should only cross the road at , _________ or where there is a crosswalk. a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle? Why did the length of time required to develop an administrative rule grow from an average of 15 months to an average of more than 35 months over the last four decades The narrator the doctor gives the audience brief insights into the viewpoint of the parents. What can you infer about them so far? The relationship between the map distance and the corresponding distance on the ground is known as the Can someone help me please Write 126 in index form. Help pls ASAP plssss is sims ska and d THE US IN WWIDIRECTIONS: CIRCLE THE BEST ANSWER CHOICE BASED ON THE PASSAGE.1 What was the first trigger of World War One?a. Assassination of William McKinleyb. Sinking of The Lusitaniac. Assassination of Archduke Franz Ferdinandd. Sinking of The Housatonic2. In what position was the United States at the start of the war?a. Neutralb. EngagedC. Isolatedd. None of the above3. What ended World War One?a. The Treaty of Parisb. The Treaty of VersaillesC. The sinking of The Lusitaniad. Limited supplies for Germany4. The United States sold bonds to raise money for the war.a. Trueb. False5. What is the best description of a Victory Garden?a. A vegetable garden to consume at homeb. A vegetable garden planted for the troopsc. A collection of flowers sent to cheer up troopsd. A collection of flowers sent to cheer up the passengers of The Lusitania6. Which President asked Congress for a declaration of war that began World War I?a. Theodore Rooseveltb. Abraham LincolnHerbert Hooverd. Woodrow Wilson7. United States ald in supplies and soldiers helped the Allies win the war.a. Trueb. False 3. What is the problem in the story ? 3. What happens if an object has a negative acceleration? Should profiling even be allowed-is it scientific enough to stay in the realm of criminal justice? Why or why not? what is the name of the song that brought musical duo, averie and jesse, to fame in a christmas duet?