Which equation represents this problem? The time it takes Tomás to bike to the community center is 2 minutes less than half the time it takes him to bike to the city park. It takes Tomás 18 minutes to bike to the community center. Let p = the time it takes Tomás to bike to the park.
A. 2p+12=18
B.12p+2=18
C.2p–12=18
D.12p–2=18

Answers

Answer 1

Answer:

The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18 D

Step-by-step explanation:

Let us solve the question

p is the time it takes Tomás to bike to the park

∵ The time it takes Tomás to bike to the community center is 2 minutes

   less than half the time it takes him to bike to the city park

→ That means multiply p by [tex]\frac{1}{2}[/tex] , then subtract 2 from it

∴ The time to the community center =  [tex]\frac{1}{2}[/tex] (p) - 2

The time to the community center =  [tex]\frac{1}{2}[/tex] p - 2

∵ It takes Tomás 18 minutes to bike to the community center

→ Equate The time to the community center by 18

[tex]\frac{1}{2}[/tex] p - 2 = 18

The equation that represents this problem is  [tex]\frac{1}{2}[/tex] p - 2 = 18


Related Questions

Mr.paul can peel 300 coconuts in 1 hour. How many coconuts will he peel in 1 minute?

Answers

Answer: 5 coconuts

Step-by-step explanation:

There are 60 minutes in 1 hour

300/60=5

Answer:

5

Step-by-step explanation:

300/60= 5 per min

A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation
measures the cyclist's distance, x, from the starting point?
52 = x2 + 32 – 2(3)(x)cos(100°)
52 = x2 + 32 – 2(3)(x)cos(140°)
x2 = 52 + 32 – 2(5)(3)cos(100’)
x2 = 52 + 32 – 2(5)(3)cos(140°)

Answers

Answer:

D. x2 = 52 + 32 – 2(5)(3)cos(140°)

Step-by-step explanation:

The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.

What is the distance?

Distance is a numerical representation of the distance between two objects or locations.

The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.

The distance, x, from the starting point is;

From the cos law ;

x² = a² +b²-2ab cosΘ

From the digrame it is obtained that;

a =5

b =3

Θ = 180 ° +70° -30°

Θ = 180°- 40°

Θ = 140°

Substitute the values;

x² = a² +b²-2ab cosΘ

x²=5²+3²-2(5)(3)cos(140°)

The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).

Hence option B is corect.

To learn more about the distance refer to the link;

https://brainly.com/question/26711747

#SPJ2

HELPPPPP!!!!!!!!!!!!

Answers

Answer:

C

Question:

can i get brainlyist.

The answers C haha the way you called for help is funny

Gabriella expects to earn $50 in tips during her shift as a waitress. In addition to tips she earns $8 and hour. If she wants to make ateast $114 today how many hours does she need to work

Answers

Answer:
8 hours

$114 - $50 and get $64 so $8 divided by $64 you’ll get 8

What is the perimeter of JKLM?

Answers

Answer:

45

Step-by-step explanation:

∡L ≅ ∡M, given  

ΔKLM is isosceles because base angles are congruent

KM ≅ KL and KM = KL

KL = 12

∡K =∡J = 60°, given

∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°

∡M = 60

∡K =∡J =∡M =  60°

ΔKJM is is equilateral because all angles have the same measure.

KM = 12

KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal

ML = 9, given

The perimeter of JKLM is the sum of the sides

P = ML +KL +KJ +MJ

P = 9 + 12 + 12 +12 = 9 +36 = 45

helpmepleasethankyou:)

Answers

Answer:

Step-by-step explanation:

If we take 1 cup of Original purple paint,

Ratio of blue and red paint = 2 : 3

Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups

Similarly, ratio of blue and red paint in the New purple paint = 5 : 7

If we take 1 cup of New purple paint,

Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups

Therefore, shade of both the mixtures will not be same.

Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.

simplify 1000^8 = 10^w

Answers

Answer: 24

i got the same question

E3: Amab sells an article to Vivek at a profit of 15% and Vivek sells it to
Sagar at a profit of 10%. If Sagar pays 35060 for the article, what was its
cost price?​

Answers

Answer:

the cost price is 27,715

Step-by-step explanation:

Let the cost price be x

As Amab sells to Vivek at 15% profit

So the selling price be

= 115 ÷ 100 × x = 1.15x

And Vivek sells to sagar at a profit of 10%

= 1.15x × 110 ÷ 100

= 1.265x

Now sagar pays it for 35,060

So , the cost price be

1.265x = 35,060

x = 27,715

Hence, the cost price is 27,715

Which equation would help you find the missing side length in the right triangle shown?

Answers

Equation a^2 + b^2 = c^2
c = longest side, unknown
The answer is D.
12^2 + 10^2 = c^2

What is | a-4b | if a=7 and b=2?

Answers

Answer:

-1 , I think it is correct , if not plz forgive

Step-by-step explanation:

a -4b

7-4×2

7- 8

=-1

Find the exact length of the third side.

Answers

Answer:

x = √51

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Leg a = x

Leg b = 7

Hypotenuse c = 10

Step 2: Solve for x

Substitute:                    x² + 7² = 10²Isolate x term:              x² = 10² - 7²Exponents:                   x² = 100 - 49Subtract:                       x² = 51Isolate x:                       x = √51

PLEASE helppppp!!!

A group of students and teachers are going on a field trip. One-ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?

Answers

Answer:

3 buses

Step-by-step explanation:

Total number of students=1

1/9 =1/3of the school bus

1=?

(1*1/3)÷(1/9)= 3 buses

The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?

Answers

Answer:

17°C

Step-by-step explanation:

temperature rises by 13, so the temperature will be 4+13 = 17°C

Find the slope of the line that contains the points named.

X(2, -1), Y(0, 4)

Answers

Answer:

- 4/3 0r - 1 1/3 0r - 1.33333333 ( the 3 keeps repeating)

Step-by-step explanation:

I would suggest to use a table so....

x         y

2        0

-1         4

from 0 to 4 you add 4

from 2 to -1 you subtract 3

so y/x

4/-3 = - 1 1/3 or - 1.333333

Hope this helped a little!

Answer:

actually the answer is -5/2

Step-by-step explanation:

Hopes you can help me.
happy holidays. Okay Byeeee.
Merry XMAS.
Question in the above attachment. ​

Answers

Answer:

its b bit.

3-4√5let as assume on the contrary that 3-4√5 is rational.

3-4√5 = p/q ( p and q are integers )

4√5 = p/q - 3

4√5 = p - 3q /q

√5 = p - 3q / 4q............... see image plz........

merry Christmas....

How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet

Answers

The yard is 60ft * 80ft = 4800ft2.

One bag covers 100ft2.

4800ft2/100ft2/bag = 48 bags

Two stores have movies to rent.
The first store charges a $5 per-month membership fee plus $2.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.
How many movies would you have to rent in order for the cost to be the same at both stores?

Answers

Answer: 5 +2.5n=3.5n You need to calculate n.

Step-by-step explanation:

what does f(-3)= ? .

Answers

Answer:

10

Step-by-step explanation:

Answer:

12

f = function

your functions are the 1st box and your outputs are the second box

how can graphs be used to find related data

Answers

What he said.....................................

A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The Cheerleading squad wants to raise $500. Let x represent aluminum cans and y represent plastic bottles. Use this description to answer all questions in this section.

Answers

Question:

(a) Write a linear equation that describes the problem

(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

Answer:

a. [tex]0.10x + 0.05y = 500[/tex]

b. 2000 cans

Step-by-step explanation:

We have the following:

[tex]Cost = \$0.10[/tex] per aluminum

[tex]Cost = \$0.05[/tex] per plastic bottle

[tex]Total = \$500[/tex]

Solving (a): The linear equation.

If 1 aluminum can costs $0.10,

x cans would cost $0.10x

If 1 plastic bottle costs $0.05,

y bottles would cost $0.05y

Total Cost:

[tex]Aluminum + Plastic = Total[/tex]

[tex]0.10x + 0.05y = 500[/tex]

b.

If y = 6000.

Solve for x

We have:

[tex]0.10x + 0.05y = 500[/tex]

Substitute 6000 for y

[tex]0.10x + 0.05* 6000 = 500[/tex]

[tex]0.10x + 300= 500[/tex]

Collect Like Terms

[tex]0.10x = 500 - 300[/tex]

[tex]0.10x = 200[/tex]

Solve for x

[tex]x = 200/0.10[/tex]

[tex]x = 2000[/tex]

Cathy would like to have accumulated $25,000 on her IRA account in 5 years. The return is 3.1%. How much should Cathy deposit in her account annually?



$1,329.94
$2,711.73
$4,699.46
$5,000.00

Answers

Answer:

Annual deposit= $4,699.46

Step-by-step explanation:

Giving the following information:

Future value (FV)= $25,000

Number of periods (n)= 5 years

Interest rate (i)= 3.1% = 0.031

To calculate the annual deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (25,000*0.031) / [(1.031^5) - 1]

A= $4,699.46

Sally has a cube numbered from 1 to 6. She tosses the cube onto the floor 54 times. How many times should she expect it to land on a 4?

Answers

Answer:

roughly 9 times

Step-by-step explanation:

each side on a standard 6 sided die has a 1/6 chance of landing. you you multiply (1/6)×54 you would get the answer 9 so theoretically you would get a "4" 9 times

HELPP ME PLEASEEEEEE

Answers

Answer:

4

Step-by-step explanation:

=1/2×8

=4

Hope this helps u....

Answer:

1/2 ÷1/8

i.e 1/2×8

= 2÷8=4

What is 3x-2y=24 in slope intercept form??
this doesn't make sense how do you find the y and x and slope ​

Answers

Answer:  3x-2y=24 in slope intercept form is [tex]y=\frac{2}{3}x -12[/tex]

The graph of the equation is in the attachment

Step-by-step explanation: Slope intercept form is y = mx + b

m is the slope b is the y-intercept  x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.

You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.

3x - 2y = 24 Standard form. Subtract 3x from both sides.

-2y = -3x + 24   divide both sides by -2

-2y/-2 = -3x/-2 + 24/-2 . Simplify.

y = 3x/2 - 12 .

To clarify the slope as a fraction

[tex]y=\frac{2}{3}x -12[/tex]

plz help me on math ​

Answers

5.80 is the answer broo so yeahhhg

Complete an error analysis for each of the questions below.

Answers

Answers:

1) The errors that were made in this expression are that [tex](-\frac{1}{4})[/tex] was converted to   [tex](-\frac{1}{12})[/tex] incorrectly when it’s supposed to convert to [tex](-\frac{3}{12})[/tex], [tex]\frac{2}{3}[/tex] was also converted to [tex]\frac{2}{12}[/tex] incorrectly when it’s supposed to convert to [tex]\frac{8}{12}[/tex], an order of operations step was done wrong when [tex](-\frac{1}{12})+\frac{2}{12}[/tex] were added, but they are not supposed to be added since the brackets are supposed to be done first, and another order of operations step was done wrong when [tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{3}[/tex] were divided, but they are not supposed to be divided because the brackets were removed when they’re supposed to be kept and solved first.

2) The errors that were made in this expression are that an order of operations step was done wrong when [tex]-\frac{15}{40} -\frac{32}{40}[/tex] were subtracted, but they are not supposed to be subtracted since multiplication or division is supposed to be solved first than subtraction or addition, [tex](-\frac{4}{5} )[/tex] was not flipped when the symbol was changed from division to multiplication when it’s supposed to change to [tex](-\frac{5}{4} )[/tex], and another order of operations step was done wrong when [tex]\frac{3}{10}[/tex] × [tex](-\frac{4}{5})[/tex] were multiplied, but they are not supposed to be multiplied because [tex]-\frac{47}{40}[/tex] × [tex]\frac{3}{10}[/tex] are supposed to be solve first since the expression needs to be solved from left to right.

Now create two of your own showing common errors that are made, and explain why you think these are the common errors:

In the image below ↓

If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is​

Answers

30% of 1100 is 330. The price (1100) after discount (330) is 770
770$

Can y'all please help with this.....will give brainliest :)​

Answers

Answer:

Concept: Algebraic Representation

4550 < n < 45704500 < n < 4700Pete walker further than Naomi a. 110 < x < 130b. 1.22 < x < 1.26c. 0.0084 < x < 0.0154

Step-by-step explanation:

hi Pinku let's talk I want u to be ur true friend

The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.

Which methods can be used to simulate this situation? Select three options..

Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though

Answers

Answer:

Step-by-step explanation:

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.

Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Answer:

B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.

E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Step-by-step explanation:

I just did the test and got this correct.

(please mark brainliest)

Have a good day!

Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week.

Answers

Answer:

10000

Step-by-step explanation:

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