James is riding in a 102-mile bike race.
When he stops for his first water break,
he is told that the second part of the
course is twice as long as the first part.
How long is the first part of the course?

Answers

Answer 1

Answer:

The first part of the course is 34 miles

Step-by-step explanation:

If you get 34 miles into a 102 miles bike race, you still have 68 miles left, which is double 34

Answer 2

Answer:

34

Step-by-step explanation:

34 + 68 =102

34×2 =102 so 34 is the answer.


Related Questions

There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. The first student is a boy and the second student is a girl.
Find the probability

Answers

0.5 for a boy
0.5 for a girl

Solve the system of linear equations by substitution.

y = 2x + 8
y = -2x

Answers

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

Answer: [tex]y=4,\:x=-2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=2x+8\\ y=-2x\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-2x[/tex]

[tex]\begin{bmatrix}-2x=2x+8\end{bmatrix}[/tex]

[tex]{Isolate\:}x{for -2x=2x+8[/tex]

[tex]x=-2[/tex]

[tex]\mathrm{For\:}y=-2x[/tex]

[tex]\mathrm{Substitute\:}x=-2[/tex]

[tex]y=-2\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=4[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are:[/tex]

[tex]y=4,\:x=-2[/tex]

Good Luck!

There re 380 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switched off. Each bulb is numbered and is consecutively from 1 to 380. You first flip every switch. You then flip the switch on every second bulb. You then flip the switch on every third bulb. This continues after you have gone the process 380 times

(I rlly need help)

Answers

Flipping the bulbs is an illustration of sequence and patterns

19 bulbs would remain on.

How to determine the number of bulbs that will be on

The sequence of turning the bulbs off and on, would change the state of the bulbs until the 380th process.

While changing the state of the bulbs, the bulb at the perfect square positions would remain on.

There are 19 perfect square numbers between 1 and 380 (inclusive)

Hence, 19 bulbs would remain on.

Read more about sequence and patterns at:

https://brainly.com/question/26698448

A farmer has 696 acres of pasture for sheep grazing, and 40 acres for growing cotton. An average of 8 sheep graze on one acre. How many sheep does the farmer have?​

Answers

Step-by-step explanation:

[tex]1 \: acre \: = \: 8 \: sheeps \\ 696 \: acres \: = 8 \times 696 = 5568 \: sheeps[/tex]

Based on the information in this table, which equation can be used to model the relationship between x and y?
Question 6 options:
y = 5x + 2
y = 2x
y = 2x + 5
y = 5x

Answers

Take 2 points

(6,17)(7,19)

Slope:-

[tex]\\ \tt\hookrightarrow m=\dfrac{19-17}{7-6}=2[/tex]

Equation in point slope form

[tex]\\ \tt\hookrightarrow y-17=2(x-6)[/tex]

[tex]\\ \tt\hookrightarrow y-17=2x-12[/tex]

[tex]\\ \tt\hookrightarrow y=2x+5[/tex]

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?

Answers

Answer:

Each person is gonna drink 12 ounces

Step-by-step explanation:

84 divided by 7 is 12

As it is 7 people sharing one drink that is 84 ounces I divided since they would be sharing equally and as it was the right thing to do.

Not a teacher

Determine if the statement is true or false.
66 = 7 (mod 12)

Answers

Answer:

false

Step-by-step explanation:

66 mod 12

quotient 5

reminder 6

true statement

66 = 6 (mod 12)

what is the area of the parallelogram

Answers

Answer:

the area parallelogram is 90%

The area is A=bh area base times height

Ann purchased a DVD player on sale. The initial price was ​$175.90. The price after the discount was ​$150.75. What was the percent of decrease​ (discount rate)?

Answers

Answer:

14.29% decrease (actual : 14.2979%)

-All of the following are phases (states) of matter EXCEPT:

Answers

Answer:

The states of matter are solid, liquid, gas, and plasma

Step-by-step explanation:

you didn't have any options so I'm just telling you them

you are on a 750 mile trip by car . ur car used seven gallons of gas to travel the first 210 miles of the trip. how much more gas will u need to make it the rest of the way at the same rate ? show work

Answers

Answer:

A total of 18 gallons of more gas

Step-by-step explanation:

7 gallons = 210 miles

750-210= 540

210*2 =420 miles       7*2=14 gallons

210/2= 105                  7/2=3.5 gallons

525 miles                       17.5 miles

210/14= 15                      7/14=.5 gallons

540 miles                    18 gallons

I need help on this other question sry if it is hard... here is the pic.

Answers

Answer:

142%

Step-by-step explanation:

i may  be wrong but hopefully im not!!

Answer:

142%

Step-by-step explanation:

To change a fraction to a percentage, multiply it by 100%

1 [tex]\frac{21}{50}[/tex] ( change to an improper fraction )

= [tex]\frac{71}{50}[/tex] × 100% = 71 × 2 = 142%

Evaluate a + b for a = 2 and b = 3.

Answers

Since a=2 and b=3, a+b is the same as 2+3. 2+3=5 so a+b=5

Hey there!

a + b

= 2 + 3

= 5


Therefore, your answer is: 5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?

Answers

well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]

Answer:

x = 6

Step-by-step explanation:

sine law

a/ sin a = x / sin x

(72)^1/2 / sin 45º = x / sin 90

6 = x/1

multiply each side by 1

6 = x

Carlos uses a food delivery service to order lunch. He paid $13.75 for lunch, which included the cost of the food and a delivery fee, which is 10% of cost of the food. What was the cost of Carlos' lunch before the delivery fee? Enter your answer in the box.

Answers

Answer:

$12.50

Step-by-step explanation:

Let x = the cost of the food without the delivery fee.

The delivery fee can be represented as 0.10x.

Keep in mind that the cost of the food plus the delivery fee equals $13.75.

Therefore, your equation will look like: 13.75 = x + 0.10x

x + 0.1x = 1.10x

So, 13.75 = 1.10x

This means that x = 13.75/1.10

x = 12.5 = $12.50

Answer: Let's represent the cost of the food as "x".

We know that the delivery fee is 10% of the cost of the food, so it can be written as 0.1x.

The total cost that Carlos paid for lunch is the sum of the cost of the food and the delivery fee, which is:

Total cost = Cost of food + Delivery fee

$13.75 = x + 0.1x

Simplifying the equation, we get:

$13.75 = 1.1x

Dividing both sides by 1.1, we get:

x = $12.50

Therefore, the cost of Carlos' lunch before the delivery fee was $12.50.

YES 12.50 is correct I am a k12 student and I have proof. the quiz name is 2.09 Quiz: Multistep Percent Problems

PLS HELP MARKING BRAINLEIST JUST BE QUICK

Answers

Answer:

19w + 3

Explanation:

perimeter: length measure of all sides

perimeter for this shape:

→ 4w + 4 + 6w + 5 + 7w + 3 + 2w - 9

group terms like this ↓

→ 4w + 6w + 7w + 2w + 4 + 5 + 3 -9

add basic numbers ↓

→ 4w +6w +7w +2w +3

final answer ↓

→ 19w + 3

Perimeter is the sum of all the sides.

2w-9 + 4w + 4 + 6w + 5 + 7w + 3


Combine like terms:

19w + 3

What is the perimeter of a pentagon with side length 35cm?

Answers

Answer:

175 cm

Step-by-step explanation:

35 x 5 = 175

How do you calculate 33% of 500 by first calculating 1% of 500

Answers

Answer:

165

Step-by-step explanation:

first 1% of 500 is calculated and then multiplied by 33:

[tex]\frac{1}{100} (500)=5[/tex]

5(33)=165

Hope this helps


Graph: f(x)= (x+1)(x – 5)

Answers

Answer:

f(x)=(x+1)(x-5)

=x+1=x-5

=1+5=x-x

=6


Anna is designing the plan of a kitchen using some computer aided design software. the coordinates of the corners of the room on screen are (0,10) (220,10) (0,260) (220,260). she needs to enter the coordinates of the ceiling light, which will be the exactly in the center of the room. what will the coordinates of the light be?


PLEASE HELP ME IF YOU CAN AS SOON AS POSSIBLE. THANK YOU ​

Answers

(220,10)

Step-by-step explanation:

This reminds me of when I was in middle school

Answer:

(110, 135)

Step-by-step explanation:

From the coordinates given, the shape of the ceiling is a rectangle.

Width = difference in x-coordinates = 220 - 0 = 220

Length = difference in y-coordinates = 260 - 10 = 250

To find the center of the ceiling, we need to find the centroid (center-point) of the rectangle.

x-coordinate = Half of the width + smallest x-coordinate= (220 ÷ 2) + 0 = 110

y-coordinate = Half of the length + smallest y-coordinate = (250 ÷ 2) + 10 = 135

Therefore, the center of the ceiling is at (110, 135)

PLEASE HELP ME I REALLY NEED IT

Answers

It’s A
Divide 32,400 by twelve
32,400/12=2,700
2,700x4 equals the amount depreciated in 4 years which equals 10,800
Subtract 10,800 from the original value 32,400-10,800= 21,600
A is your answer

can you simplify 4+6(3)+2(5 1/2 -1)

Answers

Answer:

31

5 1/2 - 1 = 4.5

4+ 18= 22

2(4.5) = 9

22+ 9 = 31

Step-by-step explanation:

Sam buys a bus ticket for $1.60 and a breakfast burrito for $3.75 each day, Monday through Thursday. He leaves a $1.40 tip each day.​

Answers

Answer: $22.20

Step-by-step explanation: yw

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?.

Answers

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

What is degree of a polynomial?

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in [tex]x^3 + 3x^2 + 5[/tex], the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

What are like terms?

Those terms which have same variables raised with same powers.

For example, [tex]x^3[/tex] and [tex]3x^3[/tex]  are like terms since variable is same, and it is raised to same power 3.

For example [tex]4x^2[/tex] and [tex]x^3[/tex] are not like terms as the variables are same but powers aren't same.

The given polynomials are:

[tex]c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10[/tex]

Their sum is

[tex]c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11[/tex]

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

[tex]c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9[/tex]

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

https://brainly.com/question/9351663

How many degrees are there in the angle between the hour and minute hands of a clock is a quarter past two

Answers

The number of degrees there are in the angle between the hour and the minute hands of the described clock is; 30°

Angle measure on a wall clock

The conventional analogue wall clock is numbered 1 to 12.

On this note, there are 12 unit subdivisions on the clock.

Each unit subdivision covers angle measure;

360°/12 = 30°

Since, at quarter past two; the hour arm of the clock is on 2 and the minute arm is on 3;

It follows that the degree measure of the angle subtended is; 30°.

Read more on degree measure;

https://brainly.com/question/4221639

which of these functions has the highest midline?
a) 1-sin(t+3pi/2),
b) 2-sin(t/2 + pi/4),
c) sin(2t- pi/2),
d) 2sin(t-pi)

Answers

Okay thank you so much for the

FIRST PERSON TO ANSWER GETS BRAINLIST AND 10 POINTS!!!!!!

Robert's dresser drawer contains 4 red socks, 10 black socks, 6 white socks, and 4 gray socks. If Robert randomly selects one sock from the drawer, which of the following statements are true? Select all that apply. The probability of selecting a gray sock is the same as the probability of selecting a red sock Each color sock is equally likely to be chosen from the drawer. This scenario can be represented by a non-uniform probability model. This scenario can be represented by a uniform probability model.​

Answers

Answer:

The answer to your problem is black (1/5)

Step-by-step explanation:

6) the cost of a video game is $22.00
Sales tax is 6%
How much will the game cost, including tax

Answers

Answer:

$23.32

Step-by-step explanation:


Use the graph to find the

a y-intercept
b. the slope of the line

С.
write the equation of this line

Answers

The y intercept is 2, because that is the value of y when it crosses the y axis.

Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.

Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.

what is 9.6 divided by 0.12 (with equation pls)

Answers

Answer:

9.6 ÷ 0.12

Expand 9.6/0.12 by multiplying both numerator and the denominator by 100.

=960/12

Devide 960 by 12 to get 80

=80

So the answer is 80

Step-by-step explanation:

#Carry on learning

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