A rental car company charges $31 per day to rent a car and $0.13 for every mile

driven. Jocelyn wants to rent a car, knowing that:

She plans to drive 500 miles.

• She has at most $220 to spend.

.

Write and solve an inequality which can be used to determine d, the number of days

Jocelyn can afford to rent while staying within her budget.

Answers

Answer 1

Answer:

The number of days is at most 5 days

= d ≤ 5 days

Step-by-step explanation:

A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:

She plans to drive 500 miles.

• She has at most $220 to spend.

At most means Less than or equal to $220

The inequality for expressing this = ≤

Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.

$31 × d + $0.13 × 500 miles ≤ $200

The inequality is given as:

31d + 65 ≤ 220

Solving further

31d ≤ 220 -65

31d ≤ 155

d ≤ 155/31

d ≤ 5

Therefore, the number of days is at most 5 days


Related Questions

Need help! Thank you!

Answers

Answer:

[tex] \frac{ \sqrt{10} }{5} [/tex]

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

What is the area of rectangle ABCD?

coordinate plane with rectangle ABCD at A 0 comma 2, B 0 comma 4, C 4 comma 4, and D 4 comma 2

4 square units
8 square units
12 square units
16 square units

Answers

Answer:

8 square units

Step-by-step explanation:

if you graph it...

length: 4

width: 2

4 * 2 = 8

Answer:

Step-by-step explanation:

5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.

Answers

YES they are!!!
explanation : if you rotate the angel to the right way they are very similar in shape and angels!!

Yes, the triangles are similar to each other by AA rule and EF = 8.

What is similarity in triangles?

When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.

Given are the triangles, Δ ABC and Δ DEF,

In Δ ABC,

∠A + ∠B + ∠C = 180°

∠B = 180°- (60°+20°)

∠B = 100°

In Δ DEF,

∠D + ∠E + ∠F = 180°

∠F = 180° - (60°+100°)

∠F = 20°

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

We see, all the corresponding angles are congruent.

Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,

And,

AB/DE = BC/EF = AC/DF = 3/4

BC/EF = 3/4

6/EF = 3/4

EF = 8

Hence, the triangles are similar to each other by AA rule and EF = 8.

For more references on similarity in triangles, click;

https://brainly.com/question/25882965

#SPJ2

respuesta
[tex]( + 2) ^{5} [/tex]

Answers

32
I hope this helps :)

A rectangular park is 100 meters long and 70 meters wide. Give the length and width of another rectangular park that has the same perimeter but a smaller area.

width=
length=

Answers

Answer: width- 60

Length- 120

Step-by-step explanation:

Heyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

hiiiiii girlyyy

Step-by-step explanation:

i think the answer is

a/b like a divided by b is the answer

cuz 8 ÷ 3 = 2.7

and 24 ÷ 9 = 2.7

and 40 ÷ 15 = 2.7

so maybe like

b · 2.7 = a

hope this helpsss

Answer:

well on side A, it starts off on 8 (as you can see) and adds 16, which gives you 24, then add another 16 and that gives you 40. Then on side B, it starts with 3, adds 6 which gives you 6, then add another 6 and you'll have 15.

Step-by-step explanation:

What are the scale factor and center of the dilation?

Answers

Answer:

Step-by-step explanation:

-2(x - 2) = -3 - 21 I need help with that question, I've been trying to solve it for hours but i cant find the answer ​

Answers

Answer:

x = 14

Step-by-step explanation:

you would first distribute the -2 with x - 2, which should give you -2x + 4, and you want to do the -3 - 21, which would give you -24, then subtract 4 from -2x + 4, then you should have -2x = -28, then divide it by -2, which should give you x = 14

Answer:

x = 14

Step-by-step explanation:

In this problem, we must isolate x

Given: -2(x - 2) = - 3 - 21Simplify the right side: -2(x - 2)= - 24Distribute the -2 to x and -2 (multiply): -2x + 4 = -24Subtract 4 from both sides: -2x = -28Divide both sides by -2: x = 14

Is the relation a function?? Plzz helppp!!!

(1,19) , (2,23) , (3,23) , (4,29) , (5,31)

Answers

yeah, all the domain numbers are different. it’s a function for sure.

Polygon C has an area of 40 square units. Kennan drew a scaled version of Polygon C using a scale factor of \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction and labeled it Polygon D.

Answers

Answer:

The answer is "[tex]10 \ units^2[/tex]"

Step-by-step explanation:

Given:

[tex]C= \frac{1}{2}\\\\A_C= 40\\\\A_D= ?\\[/tex]

The factor of scale (c) is the ratio of the two polygons, and the area ratio is the scale factor square.

Formula:

[tex]\frac{A_D}{A_C} =C^2[/tex]

[tex]A_D = \frac{40}{4}\\\\A_D= 10[/tex]

For every dime spent DeVita receive 15 food Pepsi the animals in the petting zoo David has fed the animals a total of 135 food pebbles right in Savon equation to find the number of dimes Davida spent at the petting zoo

Answers

Answer:

9

Step-by-step explanation:

135 divided by 15 and u got ur answer

Find f(-3) for f(x)=3x^2+5x-14

Answers

Answer:

-2

Step-by-step explanation:

f(x)=3x^2+5x-14

f(-3)=3(-3)^2+5(-3)-14

f(-3)=3(-3)(-3)-15-14

f(-3)=3(9)-29

f(-3)=27-29

f(-3)=-2

Answer:

-2

Step-by-step explanation:

Two sides of a rectangle are both 4 inches. If the
perimeter is 30 inches, write and solve a two-step
equation to find the missing lengths. Help

Answers

Answer: 2(4)+2b=30  /missing lenght=11

Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter    "a" and "b" both represent a side length

2(4)+2b=30         <--- Plug in the know side lenght

8+2b=30            

8(-8)+2b=30(-8)  <--- Subtract "8" from both sides to further solve

2b=22

2b/2=22/2          <--- Divide each side by "2"

b=11

1. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2=5

2. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=1/2(x+4)^2-13

3. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-(x-14)^2+17

Answers

Answer:

1a) opens down

b) don't know because equation has two equal signs

c) don't know because equation has two equal signs

2a) opens up

b) (-4, -13)

c) x = -4

3a) opens down

b) (14, 17)

c) x = 14

Step-by-step explanation:

Identify the independent variable shown on the graph.

Answers

Answer:

IF i slove can i get brainlet

Step-by-step explanation:

Two fifth grade classes are attending an amusement park as a field trip. Their teachers
purchased the tickets for the class and the parent chaperones. Mrs. Huffman purchased 25
child tickets and 30 adult tickets, which cost a total of $1,115. Mr. Snyder purchased 25 child
tickets and 2 adult tickets, paying a total of $471. What are the ticket prices?
The price of a child ticket is $
and the price of an adult ticket is $

Answers

Answer:

Price of child ticket: 17.

Price of adult ticket: 23

Step-by-step explanation:

25 times 17 equals 425.

1,115 minus 425 equals 690.

690 divided by 30 is 23.

425 plus the 2 adult tickets (23 plus 23 which is 46) would be 471, therefore 17 per child ticket and 23 per adult.

HELP PLS IF YOU KNOW THE ANSWER

Answers

Answer:

x = 1

Step-by-step explanation:

Since the triangles are congruent then AB ≡ DE , that is

DE = AB

5x - 4 = 2x - 1 ( subtract 2x from both sides )

3x - 4 = - 1 ( add 4 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions

Answers

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions

For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?

Answers

Answer: 7/5

Step-by-step explanation:

What is the circumcenter

Answers

The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.

The center of a circumference

What is the solution to this equation? x-12=36?
A. 3
B. 36
C. 24
D. 8
I will make you Brainliest. Pls answer fast I'm in a test.

Answers

Simplifying x + -12 = 36 Reorder the terms: -12 + x = 36 Solving -12 + x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + x = 36 + 12 x = 36 + 12 Combine like terms: 36 + 12 = 48 x = 48 Simplifying x = 48

Answer:

that doesn't make sense but its 48

Step-by-step explanation:

(3x + 4) + (5x - 6) add or subtract horizontally

Answers

Answer:

[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]

Step-by-step explanation: all the a's are minuses  

Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. On Tuesday night, he ate 1/2 of what was left. How much pizza did Pranav eat on Tuesday?

Answers

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.

The amount of pizza that Pranav ate on Tuesday will be:

= 1/2 × 2/3

= 1/3

She ate 1/3 on Tuesday

25 times 10*6 in normal form

Answers

ANS to 25 times 10^6

25000000
the answer is 250000000

Mr. Hudkins wants his 6th grade math class to memorize their multiplication facts. He decides to increase the number of facts they are expected to memorize each week and creates the following table.



Usingw = number of weeks and m = number of multiplication facts, which of the following equations is represented by the table Mr. Hudkins created?


A

m = 30 × 2w


B

m = 15 + w


C

w = 15m


D

m = 15w

Answers

Answer: m = 15w

Step-by-step explanation: The reason why the answer is m = 15w is because since he said "He decides to increase the number of facts they are expected to memorize each week." Which makes it so that only the  multiplication fact increased to 15 since they wouldn't put it lower then that. And there is a 2nd reason why the multiplication fact is 15. the reason why is because theres only one answer with 30 and its completely wrong. So therefore,, The answer is Multiplication Fact = 15weeks.

Answer:

m = 15w

Step-by-step explanation:

HELPPPP I DONT HAVE MUCH TIME the question is what is the rate of change of the function?

Answers

Answer:

2

Step-by-step explanation:

Answer:

½ is the answer

:):):):):):)

How is commission calculated?

Answers

Answer:

just take sale price, multiply it by the commission percentage, divide it by 100. then you should get it

Step-by-step explanation:

Answer/Step-by-step explanation

To find the commission on a sale, multiply the rate of commission by the total sales A commission is a percentage of total sales as determined by the rate of commission. Just as we did for computing sales tax, remember to first convert the rate of commission from a percent to a decimal.

The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.

Answers

Answer:

31°

Step-by-step explanation:

To convert Fahrenheit to Celsius is C= (F-32) * 5/9

So first do parenthesis 87-32= 55

Next multiply that number by 5/9 which is 30.55555555

Then round your answer = 31°

What are the coordinates of the point P?

Answers

Answer:

P (6 , -3)

Step-by-step explanation:

point P : (6 , -3)

suppose the point B(2,8) is reflected across the x- axis and then translated according to the rule (x,y)→(y,x+4) what are the coordinates of B? show your work and explain

Answers

Answer:

-8,6..............

Step-by-step explanation:

2,8

reflection

2,-8

flip

-8,2

x+4

-8,6

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