Choose one scenario below and translate it into an inequality (do not solve). Be sure to use the equation editor. (4 points)
Scenario 1: You have $500 to spend on a car rental for your birthday weekend trip. The car rental company charges $95 per day to rent the car and charges $0.85 per mile. If you rent the car for three days, what is the maximum amount of miles you can drive to stay under budget?
Scenario 2: Suppose that you start a lawn mowing business. Your start-up costs include the purchase of a self-propelled mower for $475. On average, you spend $1.50 per lawn for oil and gas. You charge $35 per lawn. How many lawns must you mow to make a profit?
FOLLOW-UP (6 Points)
Solve one of the inequalities written by your peers. Be sure to show ALL work using the equation editor. In your follow-up tell us what you think about the situation. Is it a good idea? Would you partake? If not, what would need to be different for you to be interested in the scenario?

Answers

Answer 1

The situation can be expressed in inequality as: 95x + 0.85y ≤ 500

On solving the maximum amount of miles that can be driven to stay under budget is 253

What is inequality?

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

For example, x > 3 (x should be greater than 3)

According to the given question:

Total amount to spend is restricted to $500

Let the number of days be x and extra miles covered be y

The car rental company charges $95 per day to rent the car and charges $0.85 per mile.

Therefore the situation van be expressed as:

95x + 0.85y ≤ 500

If the car is rent for 3 days then the maximum amount of miles that can be driven to stay under budget are

95(3) + 0.85y ≤ 500

285 + 0.85y ≤ 500

0.85y ≤ 215

y ≤ 253

To know more about inequality visit

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Related Questions

Help I will be marking brainliest!! No links please!

A. 42,757.2
B. 4,750.8
C. 128,271.6
D. 256, 543. 2

Show work, if possible. Thanks❤️

Answers

Answer:

42,757.2

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. You always multiply the numbers!

Please mark me brainliest!

Hey there, friend!

Here's my answer!

[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]

[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]

B. 4,750.8

C. 128,271.6

D. 256, 543. 2

============================

[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]

First, multiply 37 and 42.8

[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]

Second, multiply 1,583.6 and 27

[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]

[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]

============================

That's my answer

Keep safe, friend

Between which two consecutive integers is each number located on a number line?


Answer:

< 0.99 <

Answers

Answer:

[tex]0 < 0.99 < 1[/tex]

Step-by-step explanation:

Given

[tex]Number = 0.99[/tex]

Required

Determine the interval which it belongs

The given number is less than 1

i.e.

[tex]0.99 < 1[/tex]

And it is greater than 0.

[tex]0.99 > 0[/tex]

So, the number is located between 0 and 1

i.e.

[tex]0 < 0.99 < 1[/tex]

What is the length of the missing leg?45 and 36

Answers

Answer:

27

Step-by-step explanation:

If this is a right angle triangle, we will do this.

45^2 - 36^2 =

√729 = 27

Therefore, the missing leg = 27

Hope that helps!

When ringing up a customer, a cashier needs 10 seconds to process the payment as well as 5.7 seconds to scan each item being purchased. Write an equation that shows the relationship between the items being purchased, p, and the time, t.

Answers

Answer: 5.7p + 10

Step-by-step explanation:

From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.

The equation that shows the relationship between the items being purchased, p, and the time, t will then be:

= 5.7p + 10

PLEASE HELP ME I'M CLUELESS!!​

Answers

Answer:

352.7 m

Step-by-step explanation:

Distance from the cliff 2000m

Angle = 10°

How tall is the cliff?

We solve the above question using the trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 2000m

θ = 10°

Hence:

tan 10 = x/2000m

Cross Multiply

x = tan 10 × 2000m

x = 352.65396142 m

Approximately = 352.7 m

The cliff is 352.7 m tall

ILL GIVE BRAINLY TO WHOEVER HELPS ASAP

Answers

Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

A cheese pizza cost $5. Additional toppings cost $1.50 each. Write an equation in two variables that represents the cost of the pizza.

Answers

Answer:

Heres one

c = 5 + 1.5t

Step-by-step explanation:

Let t represent the number of toppings

and c represent the total cost of the pizza

PLEASE HELP ASAP PLZ

also plz don’t answer if ur gonna put down random things

THIS IS MY 5TH ATTEMP PLZ NO BOTS

Answers

Answer:

dont listen to person above me . it's a scam

Which table represents a linaer function

Answers

Answer:

Top left table

Answer:

the first one

Step-by-step explanation:

look at the picture if it does make sense let me know

Find the angle of the sector given the radius and the area of the sector.
Radius = 12 ft
Area of sector is 339.3 ft2

Answers

Answer:

270 degrees

Step-by-step explanation:

[tex]Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree[/tex]

Jillian wants to download a new ringtone to her cell phone. There are 954 music tones, 158 voice tones, and 63 sound effects to choose from. How many possible choices does Jillian have for her ringtone?
A.
221
B.
1,175
C.
9,496,116
D.
3,165,372

Answers

Answer:

B

Step-by-step explanation:

Just take all three numbers (954, 158, 63) then add them all up.

An ellipse has foci located at (2,4) and (2,16) and vertices located at (2,0) and (2,20) this ellipse is vertical

Answers

Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

HELP ME WITH 9, 11, 12

Answers

Answer:

Question 9

Name the ordered pairs in the table: 3, 4, 5, 6, 7

Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)

Graph the equation: the attachment

Step-by-step explanation:

I don't know how to do questions 11 and 12.

Also sorry if these aren't correct.

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Answer:

The graph of f(x)=x^2 is reflected over the x-axis. The answer is D

Answer:

The answer is D

True or false

If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.
Will give brainly

Answers

False it will be the reciprocal

Answer:

False

Step-by-step explanation:

if you are comparing two figures that are similar the scale factor will flip because you are altering the shape from the first shape

Dans mother bought a car for 15,000 five years ago. She wants to sell it to Dan based on 12% annual rate of depreciation. At this rate, how much will Dan pay for the car?

Answers

Step-by-step explanation:

= P [ 1-R/100 ] T

= 15000 [ 1-12/100] ⁵

= 15000 [100-12/100]⁵

= 15000 [0.88]⁵

= 15000 × 0.52773

= 7915.95..

i hope it's correct....

Mrs. Morales wrote a test with 15 questions covering spelling and Y vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. ​

Answers

15=5x+10y should be the answer or 100 to replace the 15 also it can be rearranged in a different way

please help me get the answer i’ll give you a thanks and 10 points pls

Answers

586 cm squared i believe

Answer:

678.4 cm^2

Step-by-step explanation:

total surface area of prism is equal to ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Firstly, we calculate the perimeter of the base. This is equal to 10 + 14 + 10 + 14, or 48.

Secondly, we must calculate the height of the prism, which is shown as 8.3.

Lastly, we must calculate the area of the base, which is 10 * 14, or 140.

We can now substitute these values into the formula, ph + 2B to find the total surface area of the prism:

ph + 2B,

(48)(8.3) + 2(140),

398.4 + 280,

678.4

This means that the total surface area of this prism is 678.4 cm^2

What is the correct factorization of
x2 - 11x + 18?

Answers

Answer:

(x-2)*(x-9)

Step-by-step explanation:

hope this helps!!

Please help me with 1,2,3,4,5,6 please

Answers

Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

[tex] {h}^{2} = {p }^{2} + {b}^{2} [/tex]

[tex] {13}^{2} \: = {12}^{2} + {b}^{2} [/tex]

[tex] {b}^{2} = {13}^{2} - {12}^{2} [/tex]

[tex] {b }^{2} = 169 - 144[/tex]

[tex] {b}^{2} = 25/tex]

[tex]b = \sqrt{25} [/tex]

[tex]b = 5[/tex]

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

At a school. Number of boys:number of girls=11:9. There are 124 more boys than girl. Work out the total number of students at the school

Answers

Answer:

Total students = 1240

Step-by-step explanation:

Given that,

Number of boys: number of girls=11:9

[tex]\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y[/tex] ......(1)

There are 124 more boys than girls i.e.

x = 124+y .....(2)

Put the value of x from equation (2) in equation (1). So,

9(124+y) = 11y

1116 +9y = 11y

1116 = 2y

y = 558

Put the value of y in equation (2).

x = 124+558

x = 682

Total students = x+y

= 682+558

= 1240

So, there are 1240 students at the school.

How do you write 5.96 x 10^-5 in standard form

Answers

Answer:

Nan

Step-by-step explanation:

Can someone please tell me the formula volume of a rectangular pyramid? Plz

Answers

the formula is v = lwh / 3

What is BC?
Pleaseee help I have no idea what I’m doing!!

Answers

Answer:

U GOT TO KNOW THE ANGLE

Step-by-step explanation:

Answer:

BC= 35

Step-by-step explanation:

trigonometry is used as its a right angle triangle, use the formula : a² + b² = c²

The surface area of a triangular prism is 18: square inches. What is the surface area of a similar solid that has been enlarged by a scale factor of 2.52?

Answers

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

What is the median of the data set?

32, 37, 38, 40, 50, 52, 55, 57

A. 23

B. 40

C. 57

D. 45

Answers

Answer:

D. 45

Step-by-step explanation:

(40+50)/2 = 45

sadly my answer has deleted here

whats is 2x2 given brainlest

Answers

Answer:

4

Step-by-step explanation:

4 :v
................

Both plant and animal cells have vacuoles, which is a large sac that holds food, water and waste. True True False

Answers

Answer:

True. It is true.

Answer:

True

Step-by-step explanation:

They both have vacuoles but the vacuoles are much larger in plant cells than animal cells.

Denise earns $4,500 per month plus 4% commission on her sales. One month she had sales of $50,000. What were her total earnings? • a. $50,000 • b. $2,000 • c. $6,500

Answers

Answer:

$6500

Step-by-step explanation:

Given data

Monthly Earnings= $4500

Commission= 4%

Sales= $50000

Let us find the amount of the commission

=4/100*50000

=0.04*50000

= $2000

Since the monthly earning is $4500, hence the total earning is

=2000+4500

=$6500

Find the distance between the two points below.

Answers

Answer:

Hi! The answer to your question is C. 4

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

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