Jenna has already cycled 8 kilometers this year,plus she plans to cycle 2 kilometers during each trip to work.Write an equation that shows the relationship between the number of trips to work t and the total distance cycled d.

Answers

Answer 1

Answer:

[tex]d = 8 + 2t[/tex]

Step-by-step explanation:

Given

[tex]Rate = 2km/trip[/tex]

[tex]Base\ Cycle = 8km[/tex]

[tex]d = total\ distance[/tex]

[tex]t = cycles[/tex]

Required

Determine the expression for this scenario

The expression can be derived from:

[tex]Total\ Distance = Base\ Cycle + Rate * Cycles[/tex]

Substitute d for Total Distance and t for cycles

[tex]d = Base\ Cycle + Rate * t[/tex]

Substitute values for Base Cycle and Rate

[tex]d = 8 + 2* t[/tex]

[tex]d = 8 + 2t[/tex]


Related Questions

Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve​

Answers

The Pythagoras Theorem:

the base squared and height squared added is equal to the hypotenuse squared.

so

(x+6)² + (x+3)²= (x+9)²

x²+36+12x+x²+9+6x = (x+9)²

2x²+45+18x=x²+81+18x

x²=36

x=√36

X= 6

now

(x+6)= 12

(x+3)=9

(x+9)=15

haha sorry correct it pls

there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%

Answers

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)

Answers

Answer:

C. (x + 11) (x - 11)

Step-by-step explanation:

x² - 121

= x² - 11²

= (x + 11) (x - 11) (Difference of two squares)

MATHH WHIZZES PLZZZ HELPPPPP!!!!!

Answers

Answer:

$7.40

Step-by-step explanation:

785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40

Answer:

$7.40

Step-by-step explanation:

i dont know how to do geometry like that and i need help on my assignment ​

Answers

Answer:

Step-by-step explanation:  Can you ask your teacher? Or no?

I’m going from left to right on answers, just so you know.
Alternate interior, vertical, alternate exterior, same side interior, same side exterior, same side interior, corresponding.

In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)

Answers

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

The measures of two sides of a triangle are given {17x-7} and {3x^2+5}. The perimeter of the triangle is 13x^2-14x+12. Find the measures of the third side.

Answers

(17*-7) the perimeter would be 12*2.5-7

A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?

Answers

$60, hope that helped! :)

Answer:

$60

Step-by-step explanation:

i-ready

If a rectangle piece of dimensions 3 cm x 2 cm is cut from one corner of a rectangular sheet of dimensions 10 cm x 6 cm and attached to it's side projecting out of the rectangle, what will be the change in perimeter of the new shape thus formed?

Answers

Answer:

[tex]6\ \text{cm}[/tex]

Step-by-step explanation:

The sides of the larger rectangle are 10 cm and 6 cm.

The sides of the part cut out are 3 cm and 2 cm.

The part cut out is attached to one of the sides of the rectangle.

Perimeter of the new shape will be

[tex]6+7+2+3+2+3+2+13=38\ \text{cm}[/tex]

Perimeter of old shape

[tex]2(10+6)=32\ \text{cm}[/tex]

Change in the perimeter is [tex]38-32=6\ \text{cm}[/tex]

The perimeter of changed by [tex]6\ \text{cm}[/tex].

Find the length of side A

Answers

Answer:

D) 4

Step-by-step explanation:

Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)

Answers

Answer:

< is greater sign and = is equal to sign

In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.

A: 1/2
B: 1/4
C: 1/5
D: 1/25

Answers

I’m stuck on c or b buttttt my best guess is c tell me if this helped :)

Find a probable next term for the sequence 9,20,39,72,125,204,315

Answers

Answer:

464

Step-by-step explanation:

The first term is 9.

The difference between the second and first term = 20 - 9 = 11

The difference between the third and second term = 39 - 20 = 19

The difference between the fourth and third term = 72 - 39 = 33

The difference between the fifth and fourth term = 125 - 72 = 53

The difference between the sixth and fifth term = 204 - 125 = 79

The difference between the seventh and sixth term = 315 - 204 = 111

The differences are 11, 19, 33, 53, 79, 111

From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32

We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32

We get the eight term using:

32 + 6 = 38

let x be the difference between the eight term and the seventh term, hence:

x - 111 = 38

x = 111 + 38

x = 149

Therefore:

eighth term - seventh term = 149

eighth term - 315 = 149

eighth term = 149 + 315

eighth term = 464

The next probable term is 464

NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody needs any information on how to pull it up, there should be a link that says download Docx if that helps.

Answers

9514 1404 393

Explanation:

1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."

  If it is broccoli, then it is a vegetable.

__

2. The hypothesis is the "if-" part:

  (If) it is broccoli

__

3. The conclusion is the "then-" part:

  (then) it is a vegetable

__

4. The converse interchanges the hypothesis and conclusion:

  If it is a vegetable, then it is broccoli.

__

5. The converse is false. A potato is a vegetable, but is not broccoli.

__

6. The inverse negates the hypothesis and conclusion:

 If it is not broccoli, it is not a vegetable.

__

7. The inverse is false. A potato is not broccoli, but is a vegetable.

__

8. The contrapositive is the inverse of the converse:

  If it is not a vegetable, it is not broccoli.

__

9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.

Help! “Ms.Day drew a rectangle on the board with a width of 14 cm and a digo al length of 50 cm. Find the length of this rectangle in centimeters.”

Answers

Answer:

length=48cm

Step-by-step explanation:

a²+14²=50²

a²+196=2500

a²=2304

a=48

and fast plzz
will .ark the brainliest

Answers

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}[/tex]

6??!!??!!!?!!!!!!!!!!!!!

If y = -5, what is the value of
2y+2
-
4

Answers

Answer:

-12

Step-by-step explanation:

Ok so I'm guessing that's a -4 but if its not, please correct me.

y= -5 is going to be plugged into 2y+2-4

This means that 2(-5)+2-4=?

2(-5) is the equivalent to 2 times -5, which is -10 (you solve multiplication first because order of operations)

Now, 2-4=-2

So using this, let's combine both equations!

-10+-2=?

?=-12

It's a lot of steps but they get easier the more you do them <3

Can someone help me plzzz!!

Answers

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

I think the most like option is option 3

The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.

Answers

Answer:

?

Step-by-step

Can you be more specific?

Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.

1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.

Answers

Answer:

1 and 4

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Only true statements out of the option

plz answer my question​

Answers

Answer:

a its not straight and its negative

Answer:

I'm pretty sure it is nonlinear with negative trend.

Step-by-step explanation:

I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.

Happy to Help :)

What’s the answer to this question ? 4.4y - 5x = -8

Answers

what do you want us to solve for? Step-by-step explanation:

Hey guys ( or gals ) I have no idea what to do please help me.

Answers

Answer:

Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.

You would have to find a GCF (greatest common factor) and multiply it out of the radical.

ex.

[tex]\sqrt{6}[/tex] = 2 x 2 x 2

when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2

2[tex]\sqrt{2\\}[/tex]

so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.

[tex]\sqrt{11}[/tex]

is an irrational number, so it might fall into 3.3 if turned into a decimal.

Step-by-step explanation:

Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.

Answers

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality.

Finding k, when y=26 and x=8

[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]

So, when y=65, x=20

Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam

Answers

Answer:

mark of the fifth exam = 60

Step-by-step explanation:

Mean = sum of all marks / number of exam

Mean = 70

Number of exam = 5

Let x =

Mean = sum of all marks / number of exam

70 = (65 + 80 + 76 + 69 + x) / 5

Cross product

70 × 5 = (290 + x)

350 = 290 + x

350 - 290 = x

x = 60

mark of the fifth exam = 60

Please help ASAP brainliest for correct answer

5.6 litres to nearest 0.5litres

Answers

5.5 or 6 litres.

not sure though, let me know if I’m incorrect lol.

have a good day!

5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?

Answers

Answer:

12, 15, 18

Step-by-step explanation:

4+5+6 = 15

45/15 = 3

multiply 4 x 3 = 12

multiply 5x 3 = 15

multiply 6 x 3 = 18

8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.
y = (x - 1)
О
5
y-1= = (x - 1)
y==(x-5)
y-5= -(x - 1)

Answers

Answer:

y=5x-7

Step-by-step explanation:

Did this earlier today

A rectangular book measures 3 x 5. What is the length of its
diagonal?

Answers

let's pythagorean theorem!
a^2 + b^2 = c^2
a and b are the sides, c is the diagonal
3^2 + 5^2 = c^2
9 + 25 = c^2
34 = c^2
5.83 = c

Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.

Answers

Answer:

a is the right answer Congress passed the fair labor standards act to protect young workers

Other Questions
How much water is displaced by a solid object with a volume of 9 cm3 that is completely submerged in the water? 9. Lady Macbeth greets DuncanA. with undisguised jealousy and ambitionB. and advises him on affairs of his kingdomC. as a perfect hostess would greet a guestD.with news of Macbeth's failure to arrive 3x+18=3(x+6)please help The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2 In the 1800s, middle-class women in America hadfew job opportunities.many job opportunities.many educational opportunities.few chances to stay at home. Use the figure to find the measures of the numbered angles. 5 = 6 = Question- what was their main economic activity.I need help read and answer the question plz There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs? Which statement most accurately characterizes the speaker in "I Dwell in Possibility"?The speaker likes the opportunities offered by poetry.The speaker is a gardener.The speaker is a child longing for answers.The speaker's knowledge of houses is important to her. summary for isn't everyone a little bit weird? Que se recomienda antes de llenar un formulario? Which of the following sentences has an incorrect verb conjugation?Vous comprenez le franais.Je lis beaucoup de livres.Elle pout acheter des pommes.Il veut des biscuits. A patient is prescribed 100mg/day of antibiotic for 2 weeks. The antibiotic is available in vials that contain 20mg/vial of the drug. How many vials are necessary for the entire treatment? The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year. Andres school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, . The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult? 78=6 f please help solve ion have much time Which statement best illustrates Crusoe's reasons for teaching Friday abouthis religion?A. He thinks Friday needs a religion in order to live a happy life.B. He fears Friday will not understand his God.c. He believes in Friday's religion more than his own.D. He worries that Friday's cannibalism will lead to his death. 8 Choose the correct item1 At 9 am tomorrow, we will be studying/ willhave studied on the new computer course.2 By next May, Fred will be having/will have had3 Will you be seeing/Will you have seen Kieranlater? I need to give him back his lecture4 Susan won't be completing/won't havecompleted her degree by next September5 Harry will have worked/will be working in the6 By the time we get to the museum, theexhibition will have closed/will be closing.7 How much of the work will you have done!* Choose the correct item.his driving licence for twenty years,notes.science lab all day tomorrow.will you be doing by the time I arrive?8 Maria won't be working/won't have workedwhen I get there tomorrow - she's taking theday off. how much longer is a 1 -inch button than a 3/8 -inch button