please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer 1

Answer:

During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3

During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2

Then using both equations will be:

y = 5x + 3

y = 5.5x + 2

Subtract the equations

0.5x = 1

x = 1/0.5 = 2

Therefore, the value of y will be:

y = 5x + 3 = 5(2) + 3 = 13


Related Questions

Factor completely.
121x^2 – 144

Answers

(11x+12) (11x-12) since it’s a difference of squares

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?

A.
x = x
B. x= 3
C. 1=1
D. 1 = 3

Answers

Answer:

b maybe....

Step-by-step explanation:

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).

Answers

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

The coordinates of the triangle are given as:

[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]

Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Read more about areas of triangles at:

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Tyler has 485 pieces of candy. He has 5 bags that he wants to fill the candy in. How many
pieces of candy, will be in each bag? (Solve using the standard algorithm).

Answers

Answer:

97 in each bag

Step-by-step explanation:

485÷5=97

97*5=485

Answer:

There would be 97 pieces of candy in each bag.

(used standard algorithm, not sure how to put that in here.) Tip: use 485 divided by 5 in long division. If you do not know how, look up the steps and write it down.

fill in blanks plz hurry due tmrw

5/7of ... is 5/21

... is blank

Answers

[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]

Determine the correct value of 3x + 2 when x= 5

Answers

Step-by-step explanation:

3x+2

3 x 5=15

15 + 2 = 17

so your answer is 17

pemdas

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.

Answers

Answer:

Step-by-step explanation:

Binomial Probability

P(x) =  n!/(n-x)!x! * p^x q^(n-x)

P(x) = probability there will be x required outcomes (here x is 3)

n = number of trials (here it is 10)

p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).

q = probability of required outcome not occurring on a single roll.

p = 1/6

q = 1 -1/6 = 5/6

n = 10

x = 3

So the required probability

= 10!/ 7!3! (1/6)^3 (5/6)^7

= 0.155.

find the inverse function f(x)=1/2x+2​

Answers

Answer:

y=2x-4

Step-by-step explanation:

f(x)=1/2x+2

y=1/2x+2

-----------------

x=1/2y+2

1/2y=x-2

y=2(x-2)

y=2x-4

Which of the following is in the range of the function based on the input-output table below?

Answers

Answer:

A.

Step-by-step explanation:

The answer is A because first:

1. we are looking for y so B and D are off the table

2. It goes from least to greatest so C is also gone

3. You are left with A

Answer:

A

Step-by-step explanation:

The range is the y value.

In this table the y value is pay per month.

what are the correct answers?

Answers

cos (75)=cos (15) nothing square and check

A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?

Answers

Answer:

9 oz

Step-by-step explanation:

36 ounces * 0.75 = 9oz.

Answer:The small jar holds about 27 ounces.Step-by-step explanation:Basically, the question is asking 75% of 36. => 36 x 75/100=> 36 x 3/4=> 9 x 3=> 27 ouncesConclusion:

Therefore, the small jar holds about 27 ounces.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

someone help!
what is y?

Answers

60

random stuff because the answer has to be 20 characters long

Answer:

y= 160°

Step-by-step explanation:

as we can see, the corresponding angles are both 20°

a straight line is 180°

180-20= 160

that's you're answer

Challenge elementary school has 800 students. Every Wednesday, 12% of the students stay after school for chess. How many students attend chess club on Wednesday?

Answers

Answer:

Its 96 bro :) 96 students

Step-by-step explanation:

Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.

96 = 12% of 800, I hope this helps!

Please help, question in pic

Answers

Answer:

D

Step-by-step explanation:

hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps

this question is hard

Answers

A) Total number of old plans = 3500 + 4700 = 8200

In the new month, the unlimited plans increased by 55%, which adds

0.55 • 3500 = 1925

unlimited plans, while the limited plans decreased by 25%, which subtracts

0.25 • 4700 = 1175

limited plans. Then

Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950

which corresponds to a percent change of

(8950 - 8200)/8200 ≈ 0.0915 = 9.15%

That is, percent change is given by

(new value - old value) / (old value)

B) The percent change is positive, so it's a percent increase.

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Answers

Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)

Answers

Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

What is a cuboid?

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

Learn more about the cuboids:

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Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7

Answers

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.

Answers

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?




Answers

The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.

What is the difference between average and instantaneous speed?

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance travelled is given as 496 miles.

And, the total time taken is 8 hours.

Average speed can be calculated by taking the ratio of total distance and time as follows,

Total distance ÷ Total time

⇒ 496 ÷ 8

⇒ 62

Hence, the average speed is given as 496 miles per hour.

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The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?

Answers

Answer:

121 days to hike the length of the trail.

Step-by-step explanation:

Divide 2175 miles by 18 miles/day.  The unit 'miles' will cancel out, leaving with us the unit 'days.'

 2175 miles

------------------- = 121 days

  18 mi/day

It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
____ minutes
WARNING GIVE A DETAILED ANSWER

Answers

20 x .80 = 16 minutes

Time required to walk to school is,  t=20 mins

Since, Andre takes 80% of time required to walk to school. Which means

Time taken by Andre = 80% of 20 minutes

t-80/100x20

t=16 minutes

Andre takes 16 minutes to walk to school.

p.s you can be rude and take the points to my question idc Imma be nice and help you

please help and show work


x= ​

Answers

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

Classify the triangle based on the side lengths 7. 15 and 21​

Answers

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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can anyone help me pls

Answers

Answer:

88 degrees, 44 degrees

Step-by-step explanation:

The total of angles in a triangle is 180 degrees

so, 48+x+x-44=180

48-44+x+x=180

4+2x=180

-4 on both sides

2x=176

x=88

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with the given frequency.



Answers

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer: bring the purple column to 5 and then green to 6

Step-by-step explanation: you need to divide which results you with 5/6

Answer: It takes john 1.2 months to read one book

Step-by-step explanation:

In - order to find out the answer we need to do [ months / books ] --> 12 / 10

what is 12 divided by 10 ? 1.2

what is the answer to this equation? x^2-18x+206=0

Answers

x = 9-5^(3/2)*i or x = 5^(3/2)*i+9

ok done. Thank to me :>

There. Someone help pls.

Answers

Answer:

85 because if you do the math

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