Your family is going on vacation to Disney. It will cost your family $987 to travel there, plus $150 per day for tickets into the park. What is the greatest number of days you can stay at Disney while staying within their $3500 budget?

Answers

Answer 1

Answer:

They can stay 16 days.

Step-by-step explanation:

3500 - 987 = 2,513

2,513 divided by 150 = 16.7

*They can't stay 16.7 days, so you have to round down. Rounding up will go out of their budget.*

Checking answer:

16 x 150 = 2,400

2,400 + 987 = $3,387

- I'm sure this isn't how your teacher wants you to solve it but this is just how I solved it, I hope this helps!

Answer 2

Step-by-step explanation:

Equation: 987 + 150x = 3500

x represents the number of days the family is staying at the park.

Solve.

Subtract 987 from both sides:

[tex]150x = 2513[/tex]

Divide each side by 150:

[tex]x= 16.75[/tex]

16.75 is decreased to 16, it's impossible to stay for 16.75 days.

The family can stay in the park for 16 days.


Related Questions

How many different pairs of faces are congruent in a rectangular prism that is not a cube

Answers

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

Elliot earns $12 per hour and $3 for each
sale he makes. He wants to earn more than $140
false. in an 8-hour workday. What is the least number
of sales he must make to reach his goal?

Answers

Answer:

420 sales

Step-by-step explanation:

140x3=420 sales

What happens to a graph that is representative of exponential decay? The graph goes:
a. down and to the right
c. up and to the right
b. down and to the left
d. up and to the left

Answers

Answer:

d

Step-by-step explanation:

0<1<b

Answer:

the answer is A ..

Step-by-step explanation:

I need help with question c

Answers

Answer:

take the common between dy and y

do similarly also with x .and make a equation

I need help on this question!!!!!!!!!!

Answers

i’m so sorry but i really don’t know and i’m only answering this so i can ask a question of my own.. GOOD LUCK

In hockey, a player gets credited with a “point” in their statistics when they get an assist or goal. The table shows the number of assists and number of points for 15 hockey players after a season.

assists points
22 28
16 18
46 72
19 29
13 26
9 13
16 22
8 18
12 13
12 17
37 50
7 12
17 34
27 58
18 34
Make a scatter plot of this data. Make sure to scale and label the axes.

Answers

The data for the assist forms the possible x-values, while the data for the

points represent the y-values of the scatter plot.

Response:

Please find attached the required scatter plot created with MS Excel

How is the scatter plot of the data created?

The given table is presented as follows;

[tex]\begin{tabular}{|c|c|c}Assist&Points\\22&28\\16&18\\46&72\\19&29\\13&26\\9&13\\16&22\\8&18\\12&13\\12&17\\37&50\\7&12\\17&34\\27&58\\18&34\end{array}\right][/tex]

A scatter plot of the above data can be created using MS Excel, by

entering the values into cells as presented above, selecting all values,

and selecting Insert then Scatter from the Chart sub-menu.

The scatter plot of the data is attached

Learn more about scatter plots here:

https://brainly.com/question/3083461

1. The graph of f. consisting of three line segments, is given to the right. Let g(x) = $* f (t)dt. a. Compute g(4) and g(-2)(Need help on C and D)​

Answers

Hi there!

c.

Looking at the graph, we can eliminate any possibility of t values on the positive t-axis being an absolute minimum. The only sign change in this interval is from positive to negative, which indicates a maximum.

We can find the value of t = -2 using the integral:

[tex]g(-2) = \int\limits^{-2}_1 {f(t)} \, dt[/tex]

Rewrite in proper format:
[tex]g(-2) = -\int\limits^1_{-2}{f(t)} \, dt[/tex]

Solve using the graph:
[tex]g(-2) = -\frac{1}{2}bh = -\frac{1}{2}(3 \cdot 4) = -6[/tex]

There is an absolute minimum value of g at x = -2. Using the above integral, we get a value of g(-2) = -6, which is the lowest value attainable over the interval.

d.

There is an inflection point at x = 1 because the second derivative changes from positive to negative at this value. (Changes signs). There is NOT an inflection point at x = 2 because the second derivative remains negative, although with a different value.

Simplify −8.5(0.3+0.4)÷(−5)+0.31.

Answers

Answer:

1.5

Step-by-step explanation:

It cost Jaden $4.80 to send 96 text messages how much would it cost to send 155 messages

Answers

Answer:

7.75

Step-by-step explanation:

found unit rate divided 4.80 by 96 = 0.05

0.05 x 155 = 7.75

: $4.80 divided by 96 = 0.05
0.05 x 155 = 7.75
It would cost Jaden $7.75

Determine the simple interest. (The rate is an annual rate unless otherwise stated. Assume 360 days in one year.)
p= $375, r = 9.5%, t = 60 days

The simple interest is $ ____
(Round to the nearest cent as needed.)

Answers

if there are 360 days in 1 year, then 60 days is 60/360 = 1/6 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$375\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &\frac{1}{6} \end{cases} \\\\\\ I=(375)(0.095)(\frac{1}{6})\implies I\approx 5.94[/tex]

How Many Minutes Can Mammals
Stay Underwater?
Hippopotamus
15
Muskrat
12
Platypus
10
Polar Bear
2
Sea Cow
16
Seal
22
Use the information given in the table. A hippopotamus can stay underwater 3 times as long as a sea otter can. Which of the
following equations can be used to find how long a sea otter can stay underwater?
3-X = 15
15 - x = 3
b. 3x = 15
d. 15x = 3
a.
C.

Answers

3x=15 as the otter is x, so three x is the hippo and therefore the otter is 5 mins

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

x = 13 pls give

Step-by-step explanation:

brainliest again it got deleted twice lol

The tallest ferris wheel in the world has 60 arms.
Each arm seats 8 people.

How many people does the ferris wheel seat in total?

Please help it's timed

Answers

Answer:

480 is the correct answer

which is bigger negative 2 or negative 5?

Answers

Answer:

negative 2 is bigger

............. .

Answer:

-5 is less than -2 it's mean that -2 is bigger.

Step-by-step explanation:

simplify the expression: (2y + 1)(5)

Answers

Answer:

10y+5

Step-by-step explanation:

5 x 2y = 10y

5 x 1 = 5

Answer:

10y + 5

Step-by-step explanation:

Expand the expression!

(2y + 1) * 5 : We have to multiply each factor by 5

2y * 5 = 10y

1 * 5 = 5

Combine those values, and we get 10y + 5 :)

Problem 2: Solve the initial value problem
[tex]y' = xy[/tex]
[tex]y(0) = 1[/tex]

Answers

Separate the variables:

y' = dy/dx = xy   ⇒   1/y dy = x dx

Integrate both sides:

∫ 1/y dy = ∫ x dx

ln|y| = 1/2 x² + C

Given that y(0) = 1, we have

ln|1| = 1/2 • 0² + C   ⇒   C = 0

so that the particular solution is

ln|y| = 1/2 x²

Solving for y gives

y = exp(1/2 x²)

If u get this wrong I have to give u a kiss what is 1+1=?

Answers

Answer is 2, basic math

Answer:

2

LOL - I need the kiss tho!

Hope this helps!

non-irrelevantly answer, i will give brainliest for attemting to answer this question please help needed.

1) Provide one example of a technology or communication system that allows information to be transferred for each of these three transfer methods: human to machine; machine to human; and machine to machine. Briefly describe each of the three technologies

Answers

When you think of an electronic log book for workplaces they are like this. human to machine- The human is speaking to the machine through actions of logging in times etc. Machine to human- The machine will now send a response to the human saying that it is logged. Machine to Machine- The machine will use its software to dispose or disclose the information you have given it.

2) ONE 200 - Gram bag of rice cost $8.12. How much does 1 kilogram of rice cost? (Note that 1000g = 1kg.)

Answers

1000 gram = 1 kilogram
If 200 gram = $8.12. 1, it means we can get 5 bags of such amount (1000/200 = 5)
Therefore, 1kg = $8.12 * 5 = $40.6

HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! Prove: An even plus an odd equals an odd. (2n)+(2m+1)=

Answers

Answer:

Step-by-step explanation:

We can factor out 2 to give us 2(2mn+n)

Answer:

the even number is two

Step-by-step explanation:

the box with the question mark has the two while the one without a question mark is one which is an odd number. when 2 multiplies 1, it gives 2

A church auditorium can seat 250 people at most. If there are currently 162 people seated in the auditorium, how many more can be seated? Write an inequality then solve it. Use n for your variable. Can someone please help I'm really stuck. ​

Answers

Answer:

88 more people

Step-by-step explanation:

Let the additional number of people that can be seated be n.

Maximum capacity of auditorium= 250

This means that the amount of people in the auditorium can be exactly 250 or less than that. Thus, the inequality sign used is '≤', which can be read as 'less than or equal to'.

Since there are already 162 people in the auditorium,

162 +n ≤ 250

Subtract 162 from both sides:

n ≤ 250 -162

n ≤ 88

Thus, 88 more people can be seated.

Note:

An equation with an inequality symbol is solved the same way as one with an equal sign, except when dividing both sides of the equation by a negative number (i.e. a number lesser than zero). In that case, the direction of the inequality sign will change:

• > becomes < and vice versa

• ≥ becomes ≤ and vice versa

Use the graph to answer the questions

Answers

( -30,35 ) is the answer

find the equation of the tangent line to f(x)=6/x at x=-2

Answers

Answer:

[tex]\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Step-by-step explanation:

Hey there! To find a tangent line of curve at specific point, we have to differentiate a given function. This is because a tangent line has same slope as the specific point and slope is equivalent to dy/dx.

From a given function, we can write as [tex]\displaystyle \large{f(x) = 6x^{-1}}[/tex] via law of exponent where [tex]\displaystyle \large{a^{-n}=\frac{1}{a^n}}[/tex] .

Then differentiate with respect to x using power rules.

Power Rules

For every differentiatable continuous functions, if [tex]\displaystyle \large{f(u) = u^n \to f\prime (u) = nu^{n-1} \cdot u\prime}[/tex] for u is any function and n is all real number.

Therefore:-

[tex]\displaystyle \large{f(x) = 6x^{-1}}\\\displaystyle \large{f\prime(x) = (-1)(6)x^{-1-1} \cdot x\prime}\\\displaystyle \large{f\prime(x) = -6x^{-2} }[/tex]

Therefore, our derived function is [tex]\displaystyle \large{f\prime(x) =- 6x^{-2}}[/tex]

Then substitute x = -2 in a derived function or slope.

[tex]\displaystyle \large{f\prime(-2) = -6x^{-2}}\\\displaystyle \large{f\prime(-2) = -6(-2)^{-2}}\\\displaystyle \large{f\prime(-2) = -6 \cdot \frac{1}{(-2)^2}}\\\displaystyle \large{f\prime(-2) = -\frac{6}{4}}\\\displaystyle \large{f\prime(-2) = -\frac{3}{2}}[/tex]

Therefore, the slope at x = -2 is -3/2.

Now we have to use point-slope formula to find the equation of tangent line.

Point-Slope

[tex]\displaystyle \large{y-y_1 = m(x-x_1) \to y-f(x_1) = f\prime (x_1)(x-x_1)}[/tex]

We may have to find the (x,f(x)) coordinate first. We know x = -2 but we don’t know f(x) coordinate at x = -2 yet. We substitute x = -2 in f(x) to find f(-2).

[tex]\displaystyle \large{f(-2) = \frac{6}{-2}}\\\displaystyle \large{f(-2) = -3}[/tex]

Therefore, our coordinate is (-2,-3).

Substitute in point-slope form.

[tex]\displaystyle \large{y-(-3)=-\frac{3}{2}(x-(-2))}\\\displaystyle \large{y+3=-\frac{3}{2}(x+2)}[/tex]

Then convert to slope-intercept form by isolating y-term and simplify the expression.

[tex]\displaystyle \large{y = - \frac{3}{2}(x+2)+3}\\\displaystyle \large{y = - \frac{3}{2}x-3+3}\\\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Therefore, the equation of tangent line is y = -3x/2.

Find the area of each trapezoid.​

Answers

Step-by-step explanation:

(1). 1/2(5.6+14)(9)

1/2(19.6)(9)

(9.8)(9)

=88.2

(2). 1/2(14+9)(8)

1/2(23)(8)

(11.5)(8)

=92

(3). 1/2(4+6.1)5.2

1/2(10.1)5.2

(5.05)(5.2)

=26.26

1.) 88.2 cm²

2.) 92 cm²

3.) 26.26 m²

4.) 131.25 dm²

5.) 4 m²

The students in Mr. Philips science class folded paper airplanes and threw them to see whose airplane would fly the farthest. They recorded the distances in both meters and centimeters. Based on this information, what is the measurement in centimeters of a paper airplane that flew 4.5 meters?
A) 450 centimeters
B) 405 centimeters
C) 45 centimeters
D) 4,050 centimeters

Answers

Since the airplane flew 4.5m, this means that it flew 450cm.

What is the change from $50 if my total purchases were $36.80?

Answers

14.80 explanation: 50-36= 14+0.80= 14.80

12÷36.2 I need help because I'm getting a wrong answer I think ​

Answers

Answer:

0.331491713 but can convert to 60/181

Step-by-step explanation:

Please help ASAP! This is due soon


All bots and unknown links will be reported.
Please do not mention anything that happened to you in the past with this account if something did. As for I got this account just yesterday by someone who quitted.

Picture down below, question 11.

Thanks!

Answers

Answer:

x = 35

Step-by-step explanation:

The angles are alternate so their measure is equal:

2x = x + 35 get the like terms on the same side of the equation

2x - x = 35 subtract

x = 35

Measure

2x = 70 and

x + 35 = 70

M/4 - 2=6 evaluate expression

Answers

Answer: M = 32

Step-by-step explanation:

We can add 2 to each side of the equation to get M/4 = 8.

We can then multiply each side of the equation by 4 to get M = 32.

If eight people can fit at the dinner table, how many tables will be needed for 148 dinner guests?

Answers

148/8 = 18.5

Nineteen tables. After all, you can’t have half a table
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