Connor runs at a constant rate. It takes him 34 minutes to run 4 miles.
Write the linear equation in two variables that represents the number of miles Connor can run in any given
time interval in minutes, t.
O A Y = 34/4 x
O
B. Y = 8.5X
O C. Y = 4/34X + 8.5
D. Y = 4/34 X
=

Answers

Answer 1

Given:

Connor runs at a constant rate.

It takes him 34 minutes to run 4 miles.

To find:

The linear equation in two variables that represents the given situation.

Solution:

Let y be the distance covered by Connor in miles and x be the time in minutes.

It is given that Connor needs 34 minutes to run 4 miles. So, the linear equation passes through the point (34,4,) and the rate of change is:

[tex]m=\dfrac{Distance}{Time}[/tex]

[tex]m=\dfrac{4}{34}[/tex]

Using the point slope, the equation of the linear function is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-4=\dfrac{4}{34}(x-34)[/tex]

[tex]y-4=\dfrac{4}{34}x-4[/tex]

[tex]y=\dfrac{4}{34}x[/tex]

Therefore, the correct option is D, i.e., [tex]y=\dfrac{4}{34}x[/tex].


Related Questions

A survey is conducted at two junior high
schools asking students about the number of
sodas they consume each day.
Sodas Consumed Per Day
HE
Junior High
Junior High B
1
Based on the data shown in the graphs,
which statement is true?​

Answers

Answer:

A

Step-by-step explanation:

You people my pl

Expand.
Your answer should be a polynomial in standard form.
(-8a^2 – 1) (3a^2– 5) =

Answers

Answer:

The answer is =-24a^4+37a^2+5

Answer: Rewrite using the commutative property of multiplication.

−8⋅3(a2a2)−8a2⋅−5−1(3a2)−1⋅−5

Multiply a 2 by a 2 by adding the exponents.

Use the power rule a m a n = a m + n to combine exponents.

− 8 ⋅ 3 a 2 + 2 − 8 a 2 ⋅ − 5 − 1 ( 3 a 2 ) − 1 ⋅ − 5

Multiply−8by3.−24a4−8a2⋅−5−1(3a2)−1⋅−5

Multiply−5by−8.−24a4+40a2−1(3a2)−1⋅−5

Multiply3by−1.−24a4+40a2−3a2−1⋅−5

Multiply−1by−5.−24a4+40a2−3a2+5

Subtract3a2from40a2.−24a4+37a2+5

Step-by-step explanation: Please hep me with this if you know!

suppose you live 6.9 miles from a hill. from your home you see a plane directly above the hill . you're angle of the elevation to the plane is 24 degree. what is the planes altitude. choices are
a 2.8 miles. b -14.7 miles. c 6.3 miles. d 3.1 miles

Answers

Answer:

d. 3.1 miles

Step-by-step explanation:

tan 24= x/6.9

x= 6tan24

x=3.072077929

x=3.1 miles

please help! you will get 10 points and multiple choice.

Answers

Answer:

Corresponding angles

Step-by-step explanation:

A corresponding angles is, and I quote, "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." (See image below)

So, looking at our words and graph, 5 and 1 are corresponding angles!

Hope this helped!

Source(s) used: G*ogle

A golf ball weighs 1.6 ounces.

How much do a dozen golf balls weigh?

Enter your answer in the box.

Answers

a dozen is 12.


1.6*12=19.2 oz
Multiply 1.6 times 12 that will equal to 19.2

What is the answer I need help!!

Answers

The correct answer is C

Help me please I’ll give brainliest

Answers

Answer b is the only one that makes sense

Answer:

its B

hope it helps

byeeeee

How would this triangle be classified?

Answers

Answer:

D (Isosceles Obtuse)

Step-by-step explanation:

Since 2 of the sides are the same length, that would make the triangle an isosceles.

Since 1 of the angles are over 90 degrees, that would make the triangle obtuse.

This makes the triangle an isosceles obtuse triangle.

hope this helps

How is the number 6.237 read?
A. Six and two hundred thirty-seven thousandths
B. Sixty-two and thirty-seven thousandths
C. Sixty-two and thirty-seven tenths
D. Six and two hundred thirty-seven tenths

Answers

Answer:

I believe it's either between a or d

Step-by-step explanation:

I am not really sure but hope it helps

Hope you also have a great day!

Josie wants to build a slide that is 15 feet long. If the angle of elevation for the side will be 30 degree, how high in feet will the top of the slide be ?

Answers

Answer: 7.5

Step-by-step explanation: draw a right triangle to represent the slide. the slide is 15 feet long, so the hypotenuse of the right triangle would be 15 feet. The angle from the bottom is 30 degrees according to the question. You want to find the angle opposite from the 30 degree angle so use sin(30). Sin=opposite/hypotenuse so sin(30)=x/15 sin(30) is 1/2 so 1/2=x/15. You multiply by 15 on both sides to get x by itself. 1/2*15=7.5

I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE

Answers

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

need this to solve these two questions please

Answers

Answer and Step-by-step explanation:

For the first graph:

The equation has a negative slope of [tex]\frac{1}{3}[/tex]. So, the equation is:

y = [tex]-\frac{1}{3} x[/tex]

For the second graph:

The graph is shifted down 4 units.

It has a positive slope of 3.

So the equation is:

y = 3x - 4

#teamtrees #PAW (Plant And Water)

Find the measure of b and a. (type the number of the angle measure ONLY)

Answers

Answer:

Step-by-step explanation:

A straight line has 180 degrees.

43 + b + 50 = 180       Collect like terms

b + 93 = 180                Subtract 93

b = 180 - 93

b = 87

a + b + 75 = 180      All triangles have 180 degrees.

a + 87 + 75 = 180    Combine like terms

a + 162 = 180           Subtract 162 from both sides

a = 180 - 162

a = 18

According the box Plot, 50% of the students are atleast how tall?
a. 47 inches
b. 53 inches
c. 56 inches
d. 62 inches

Answers

This looks like it’s more so 56 in for that 50%

Mhanifa can you please help this is due asap

Answers

Answer:

Question 1 Adjacent angles are supplementary, opposite angles are equal

Find x

62 + 5x + 3 = 1805x = 180 - 655x = 115x = 23

Find y

62 = 3y + 23y = 60y = 20Question 2Diagonals bisect each other

Find x

4x = 3x + 7x = 7

Find y

6y = 2y + 164y = 16y = 4

Correct choice is A

Which of the following is NOT written in scientific notation?
32,7 10
G 1.27 x 10
H 4.7 10
0
6, 110

Answers

none of them are sorry to tell you

7 + 6 - 9 * - 2 + - 3 what is the answer
[tex]7 + 6 - 9 \times - 2 + - 3[/tex]

Answers

Answer:

28

hope this answer helps you...

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7 + 6 - 9 \times(-2) + (-3)}[/tex]

[tex]\mathsf{7 + 6 = \bf13}[/tex]

[tex]\textsf{\bf 13}\textsf{ - 9 (-2) - 3}[/tex]

[tex]\mathsf{9(-2) = \bf -18}[/tex]

[tex]\textsf{13 - \bf(-18) }\textsf{- 3}[/tex]

[tex]\mathsf{13 + 18 = \bf 31}[/tex]

[tex]\mathsf{\bf 31}\textsf{ - 3}[/tex]

[tex]\mathsf{\bf 28}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 28}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A confidence level of 95% means: 95% of the time, sample percentages will fall above the mean. 95% of the time, population data will fall between 149.61 and 150.39. the mean of 95% of the adults in the sample was 150.

Answers

Answer:

B

Step-by-step explanation:

95% of the time, population data will fall between 149.61 and 150.39.

A confidence level of 95% means 95% of the time, population data will fall between 149.61 and 150.39. The correct answer would be an option (B).

What is the sample?

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

The second statement, "95% of the time, population data will fall between 149.61 and 150.39," is more accurate in terms of what a 95% confidence level implies.

When you conduct a sample survey, you can calculate a confidence interval, which is an estimate of the range of values that the population parameter is likely to fall within.

If the confidence level is 95%, it means that if you were to repeatedly sample the population and construct a confidence interval each time, 95% of those intervals would contain the true population parameter.

Thus, the correct answer would be option (B).

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

match the value with the appropriate ratio

pls help ill give brainly if you actually help me (:

Answers

Step-by-step explanation:

sohcahtoa

sin (x) = 12/20

cos (x) = 16/20

tan(x) = 12/16

sin (z) = 16/20

cos (z) = 12/20

tan(z) = 16/12

Which polygon has an interior angle sum of 1080°?

Answers

Answer:

The polygon with an interior angle sum of 1080° is an octagon or a polygon with 8 sides. We are given that the interior angle sum of our polygon

Step-by-step explanation:

Sorry if it's wrong.

Answer:

Step-by-step explanation:

Remark

First of all, you need a regular polygon, otherwise the question can have all sorts of interior angles. The standard way to solve this is set up an equation that looks like this.

(n - 2)*180 = 1080              Divide by 180

(n - 2) = 1080/180

n - 2 = 6                             Add 2 to both sides.

n = 6 + 2

n = 8

Conclusion

So an 8 sided figure has 8 interior angles that add up to 1080 if the 8 sided figure is regular.

Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples.


How many pounds of apples did Anita purchase ?

Answers

Answer:

3lb

Step-by-step explanation:

$5.37 divided by 1.79 $/lb = 3 lb

1. equation: 1.79x=5.37
2. solve for x: x=3
3. Answer: Anita bought 3 pounds of apples in total.

Please help! Having trouble with this

Answers

it is B

STEP BY STEP:

Answer:

B

Step-by-step explanation:

Put them in there calculator

A store has clearance items that have been marked down by 60%. They are having a sale, advertising an additional 15% off clearance items. What percent of the original price do you end up paying?

Answers

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

[tex]\Rightarrow x-x\times 0.6=0.4x[/tex]

after additional discount it is

[tex]\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x[/tex]

Effective discount on the item is

[tex]\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%[/tex]

Thus, a person is paying [tex]100-66=34\%[/tex] of the original price

you planted sunflower seeds in your backyard and everyday the number of flowers doubles if it takes 42 days for the flowers to fill the garden how many days would it take for them to fill half of the garden
Plz HELPPP]PPPPPPPPPPPPPPPP

Answers

Answer:

41

Step-by-step explanation:

Cynthia rounds a number, x, to one decimal point.
The result is 6.3

Write down the error interval for x.

Answers

Answer:

[6.26,6.29]U[6.31,6.34

Step-by-step explanation:

6.26

6.27

6.28

6.29

6.31

6.32

6.33

6.34

So in interval form [6.26,6.29]U[6.31,6.34]

what is the value of x? tangent lines acellus

Answers

Answer:

30°

Step-by-step explanation:

the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.

What is The value of Y in this exponential growth function when X equals two y=1.5x

Answers


Y=3

Y=1.5x

If X=2 insert 2 into the equation

Y=1.5(2)
Y=3

Answer:

y = 3

Step-by-step explanation:

y = 1.5x and x = 2

y = 1.5(2)

y = 3

I f m<4=30 degrees, find m<3

Answers

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

rewrite (3x + 2)(x - 3) in standard form

Answers

Answer: 3x^2 − 7x − 6

P is the point (16,9) and Q is the point (22. 24).
(a) Find the equation of the line perpendicular to PQ that passes through the point (5, 1).
Give your answer in the form y=mx+c.
(b) N is the point on PQ such that PN=2NQ. Find the co-ordinates of N.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (P(16, 9) and (x₂, y₂ ) = Q(22, 24)

[tex]m_{PQ}[/tex] = [tex]\frac{24-9}{22-16}[/tex] = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{2} }[/tex] = - [tex]\frac{2}{5}[/tex] , then

y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{5}[/tex] x + 3 ← equation of perpendicular line

(b)

Given PN = 2NQ , then N sections PQ in the ratio 2 : 1

Using the Section formula to find coordinates of N

N = ( [tex]\frac{16(1)+22(2)}{1+2}[/tex] , [tex]\frac{9(1)+24(2)}{1+2}[/tex] )

   = ( [tex]\frac{16+44}{3}[/tex], [tex]\frac{9+48}{3}[/tex] )

    = ( [tex]\frac{60}{3}[/tex], [tex]\frac{57}{3}[/tex] )

    = (20, 19 )

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