Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel

Question 21 PtsDirections: Include The Inequality Symbol And Solution. If You Need Less Than Or Equalto,

Answers

Answer 1

Answer:

17.85 answer

Step-by-step explanation:

u add the following and the ans u get u take it away from 25

Answer 2

The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,

Aliana has at most $25 to spend on the cab ride,

Write the equation as shown below,

The total charges of the taxi = flat rate + rate per mile × number of mile

The total charges of the taxi = 7.5 + x × 0.35

Here, x is the number of miles

The total charge should be equal to $25 or less than $25 then,

25 ≥ 7.5 + 0.35x

Solve for x

0.35x = 25 - 7.5

x = 17.5 / 0.35

x = 50 miles

Thus, she can travel a total of 50 miles.

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Related Questions

Write 15.5 as a fraction in the simplest form and as a decimal

Answers

Fraction; 13/200
Decimal: 0.155

The 2 pentagons above are similar. What is the area of the smaller pentagon?

Answers

Answer:

16^2

Step-by-step explanation:

All you have to do is do 64 *.25 and you get 16

The area of the smaller pentagon is 4 in². thus option B is correct.

How to determine the area of the smaller pentagon?

The ratio of the side lengths are given:

Small : Large = 3.5 : 14

The area of the larger pentagon is given;

Area = 64 in²

By Using the given parameters, the area of the small pentagon:

Area = (Small/Large)² * Area of Large

Area = (3.5/14)² * 64

Area = 4

Hence, the area of the smaller pentagon is 4 in². thus option B is correct.

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How many Joules must be added to 45.2 g of iron to raise its temperature from
12.5 °C to 76.8°C?

Answers

Answer:

297 J

Step-by-step explanation:

The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of

1 g

of a given substance by

1

C

.

In your case, aluminium is said to have a specific heat of

0.90

J

g

C

.

So, what does that tell you?

In order to increase the temperature of

1 g

of aluminium by

1

C

, you need to provide it with

0.90 J

of heat.

But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by

1

C

. So if you wanted to increase the temperature of

10.0 g

of aluminium by

1

C

, you'd have to provide it with

1 gram



0.90 J

+

1 gram



0.90 J

+

...

+

1 gram



0.90 J



10 times

=

10

×

0.90 J

However, you don't want to increase the temperature of the sample by

1

C

, you want to increase it by

Δ

T

=

55

C

22

C

=

33

C

This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that

1

C



10

×

0.90 J

+

1

C



10

×

0.90 J

+

...

+

1

C



10

×

0.90 J



33 times

=

33

×

10

×

0.90 J

Therefore, the total amount of heat needed to increase the temperature of

10.0 g

of aluminium by

33

C

will be

q

=

10.0

g

0.90

J

g

C

33

C

q

=

297 J

I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.

For future reference, this equation will come in handy

q

=

m

c

Δ

T

, where

q

- the amount of heat added / removed

m

- the mass of the substance

c

- the specific heat of the substance

Δ

T

- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample

The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of

1 g

of a given substance by

1

C

.

In your case, aluminium is said to have a specific heat of

0.90

J

g

C

.

So, what does that tell you?

In order to increase the temperature of

1 g

of aluminium by

1

C

, you need to provide it with

0.90 J

of heat.

But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by

1

C

. So if you wanted to increase the temperature of

10.0 g

of aluminium by

1

C

, you'd have to provide it with

1 gram



0.90 J

+

1 gram



0.90 J

+

...

+

1 gram



0.90 J



10 times

=

10

×

0.90 J

However, you don't want to increase the temperature of the sample by

1

C

, you want to increase it by

Δ

T

=

55

C

22

C

=

33

C

This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that

1

C



10

×

0.90 J

+

1

C



10

×

0.90 J

+

...

+

1

C



10

×

0.90 J



33 times

=

33

×

10

×

0.90 J

Therefore, the total amount of heat needed to increase the temperature of

10.0 g

of aluminium by

33

C

will be

q

=

10.0

g

0.90

J

g

C

33

C

q

=

297 J

I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.

For future reference, this equation will come in handy

q

=

m

c

Δ

T

, where

q

- the amount of heat added / removed

m

- the mass of the substance

c

- the specific heat of the substance

Δ

T

- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample

In your case, aluminium is said to have a specific heat of

0.90

J

g

C

.

So, what does that tell you?

A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a
teaspoon when the water level goes above the next whole gallon
Which graph models the number of teaspoons of food depending on the amount of water?

Answers

Answer:

The answer is A. Edge 2022. Hope this helps

Step-by-step explanation:

The next closest one would've been C. But they asked for the teaspoons based on the amount of water not over a constant period of time. So A is right.

Answer:

A

Step-by-step explanation:

I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 10 MINS!

Answers

Answer:

644.972

Step-by-step explanation:

6x100=600

4x10=40

4x1=4

9x(1/10)=0.9

7x(1/100)=0.07

2x(1/1000)=0.002

add all of these values up. hope this helps!

Write an equation that represent the line

Answers

the formula that is needed is y=mx+b, so the answer is y=5/6x+2.5

The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of ​​the original piece of land.

Answers

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

Find the square of (a+b+c)​

Answers

Answer:

a^2 + b^2 + c^2 +2ab + 2ac + 2bc

how do you evaluate numbers in math?

Answers

To evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.

Assuming we are given the expression, 3x + (2x - 1), and we are required to evaluate the expression, the following shown below is how to evaluate the expression if we are told that x = 1.

First step is to plug in the value of the variable, x, into the expression:

3(1) + (2(1) - 1)

3 + 2 - 1

Using the order of operation, simply

4

Therefore, to evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.

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5x+7x=180 a.___
12=80 b.__
x=15 C.___

Answers

Answer:

5x + 7x = 180

x = 15

Step-by-step explanation:

5x + 7x = 12x

180/12 = 15

Q.The total surface area of a cylinder is
3080cm² and height is 21cm. Find its base radius.
Show full process.

Answers

Answer:

r≈14cm

h Height

21

cm

A Surface area

3080

cm²

Using the formula

A=2πrh+2πr2

Solving forr

r=1

2h2+2A

π﹣h

2=1

2·212+2·3080

π﹣21

2≈14.00402cm

i need help w this pls :)

Answers

Answer:

x8 y6

Step-by-step explanation:

You guys are awesome with these questions I'm really struggling with this one p[lease help me out.

Answers

Try 12.

Hope it helps?

Answer:

12

Step-by-step explanation:

12 x 4 = 48

48 + 9 = 57

The three solids below have the same height. The cross-sections of the parallel planes have equal areas,
Which solid has the greatest volume?

Answers

It should be noted that all the solids have the same volume.

What is volume?

Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. It should be noted that the definition of length is interrelated with volume.

Here, the three solids below have the same height. The cross-sections of the parallel planes have equal areas. They all have same volume.

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ankita and her three friends are going to share a three bedroom apartment if the total rent is Rp.r, what is ankitas share

Answers

Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.

This question is solved by proportions, using a rule of three.Considering that there are 4 people and the rent is of x Rp.r, 4 people pay x, how much does Ankita, which is one person, pay?

The rule of three is:

4 people - x

1 people - a

Applying cross multiplication:

[tex]4a = x[/tex]

[tex]a = \frac{x}{4}[/tex]

Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.

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A triangle has sides measuring 5 inches and 8 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5 B. 3 O C. 55x58
D. 35xs13

Answers

Answer:

For me,the answer will be A.

im not sure

correct me if im wrong

love ya

Answer:

B

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

8 - 5 < x < 8 + 5 , then

3 < x < 13 → B

Rita’s earnings are based on how many hours she works. Rita worked 22 hours and earned $379.50. What would Rita earn for working 52 hours?


Answers

Rita will earn $897 for working 52 hours.

Word problems in mathematics are mathematical operations that are applied to solve real life cases.

From the information given:

Rita's earnings are dependent on the hours she works

If Rita worked for 22 hours, she earns $379.50

Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:

[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]

= $897

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I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. A 12-foot ladder is placed against a vertical Wall of a building with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer: The wall of the ladder reaches 10.91 feet.

Explanation:

Formulate

√12^2 - 5^2

Evaluate

10.90871

Round

10.90871 10.91

Therefore, the answer is 10.91 feet.

Answer:

10.91 feet

Step-by-step explanation:

Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.

See the attachment.

Use the Pythagorean Theorem to solve.

Height = 10.91 feet.

Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
PLS ANSWER FAST

Answers

Answer:

5, 6, 7, 8, 9, 10, 11 and 12 are the natural numbers between 5 and 12 including them, therefore Jane wrote 8 numbers. natural numbers start at positive 1 and go up by whole numbers infinitely, hope this helps

Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.

Which statement is most accurate?


*Disclaimer* show work

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1

The correct answer is the last one (C)

K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm​

Answers

Answer:

2(3×2)+2(3×1.5)+2(1.5×3)

Step-by-step explanation:

12+9+9

30

Answer:

30cm square

Step-by-step explanation:

2(3×2)+2(3×1.5)+2(1.5×3)

2[3×2+3×1.5+1.5×3]

2(6+4.5+4.5)

2×15

30

Is x+2y=6
2x-3y=26
have no solution,one solution, or infinity many solution

Answers

Answer:

1

Step-by-step explanation:

x + 2y = 6, multiply by 2 = 2x + 4y = 12

2nd equation:                    2x - 3y = 26

It has one solution

Answer: One solution

Step-by-step explanation:

Convert both equations into slope-intercept form:

x+2y=6

2y=6-x

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

Slope = 6/2 = 3

2x-3y=26

y=2x-26/3

Slope = 2/3

Therefore, he system of equations have one solution because their slopes are not equal.  

The coefficient of 3x is "3."

True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

false.

Step-by-step explanation:

btw i love your pfp.

x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?

Answers

Answer:

The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...

Step-by-step explanation:

The two interior opposite angles of an exterior angle of a triangle are 60% and 80 Find the measure of the exterior angle please help me ​

Answers

Answer:

2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle.&nbsp;

Step-by-step explanation:

John solves the equation 5(x-3)+4=18. which 2 choices could be his next step in solving the equation?
5x-15+4=18
5(x-3)=22
5(x-3)=14
5x-13+4=18

Answers

His 2 choices are 5x-15+4=18 and 5(x-3)=14

Answer:

5x-15+4=18

technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be

5(x-3)=14

helllppp pleaseeeeee​

Answers

MY ANSWER WITH SOLUTIONS

#CARRYONLEARNINGGUYS

Please help me solve this problem ASAP

Answers

Answer:

28?

Step-by-step explanation:

4x=2x+56 (equal angles)

2x=56 (divide both sides by 2)

x=28 (angle)

Answer:

∠B = 112°

Step-by-step explanation:

1) ∠B and ∠D are congruent because they are alternate interior angles (same side interior) so they equal the same

2) Set the two expressions equal to each other:

2x+56 = 4x

56 = 2x

x=28

3) Plug 28 in for x in the expression (2x+56) and get 112°

Yolonda ran 4 times last week here are the distances she ran in km
17.9,6.03,15.66,3
What’s the total distance ran

Answers

Answer:

42.59 km

Step-by-step explanation:

Total distance = 17.9 + 6.03 + 15.66 + 3 = 42.59

Answer:

42.59 km

Step-by-step explanation:

When a question tells you to find the total of something it is usually means you need to add to add decimals you align the decimals and if a number doesn't have a decimal you add .0 on the end then line it up. It also might help to add a 0 in empty spots . Then you move the decimal to the same place in the solution and add like normal.

     

 17.90

 06.03

  15.66

+03.00

 42.59

Rachel is 10 years older than her sister, Renee. In six years from now, the sum of their ages will be 40. How old is each girl?
(Systems of Equations Word Problem)

Answers

Answer: I say the answer is 20 years old, 30 years old

Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.

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