Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.

Answers

Answer 1

Answer:

[tex]t=\dfrac{9\pm 3}{6}[/tex]

[tex]1\ \text{hour}[/tex]

[tex]2\ \text{hour}[/tex]

Step-by-step explanation:

s = Speed of Emile = 6 miles/hour

d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]

Time taken to find the minimum and maximum time Emile ran for is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]

The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]

The time taken is

[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]

The minimum number of hours Emile runs is 1 hour.

[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]

The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].

Answer 2

Answer:

|6x – 9| = 3

1 Hour

2 Hours

Step-by-step explanation:

The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.


Related Questions

HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?

Answers

Answer:70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Plz I need this ASAP

Answers

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

HELP FAST !!!

Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8

Answers

-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24​

Answers

Answer:

[tex]Rate = \$0.5[/tex] per cookie

Every cookie is sold at $0.5

Step-by-step explanation:

See attachment for complete question

Required

Determine the unit rate

To solve this, we simply take any corresponding values of Cost of cookies and number of cookies

When

Cost = $2

Number = 4

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$2/4[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Pick another corresponding values

When

Cost = $6

Number = 12

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$6/12[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Hence, the unit rate is $0.5 per cookie

What it represents is that: Every cookie is sold at $0.5

An amount of money that is deposited or borrowed that earns or is charged interest is called a what?

Answers

Answer:

the principal

Step-by-step explanation:

Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two
options.
1.y=-3/4x + 1
2.3x – 4y = -4
3.4x – 3y = -3
4.y-2=-3/4(x-4)
5.y+2 =3/4 (x+4)

Hellllp ASAP no rocky :)

Answers

Answer:

y = 3/4x + 1 and 3x - 4y= -4

Step-by-step explanation:

I dont feel like explaining but just trust me bro

The Equation of parallel line is y= 3/7 x - 2/7.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have equation 3x – 4y = 7 and passes through (-4, -2).

Writing the given equation in slope intercept form as

3x = 7 +4y

4y = 3x- 7

y= 3/7 x - 4/7

so, the slope of parallel line is 3/7.

and, passes through (-4, -2).

y= 3/7 x +b

-2 = 3/7(-4) +b

-2 = -12 /7 + b

b = -2/7

So, the Equation of line is y= 3/7 x - 2/7.

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Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?

Answers

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

m = -2

∵ m is the slope of the line represented by the given equation

The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

x1 = 6 and y1 = 0

x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]

m = -1

∵ m is the slope of the line shown in the graph

The slope of the line shown in the graph is -1

Find the opposite of each integer 0

Answers

Answer:

Thats not a full question.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

evaluate the expression shown below and write your answer as a fraction in simplest form.​

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

4/45

Step-by-step explanation:

Fraction and find your lcm

Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS

Answers

Answer:

The correct answer is B. AAS

Step-by-step explanation:

I took the test

hope this helps :)

SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In the given triangle there are ACD, DB is the perpendicular bisector.

We need to prove ∆ABD ≈ ∆CBD.

In ∆ABD and ∆CBD

AB is congruent to BC by given diagram.

∠ABD ≅ ∠CBD both are 90 degrees.

BD ≅ BD both having common side.

∆ABD ≈ ∆CBD.

By SAS postulate.

Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.

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Jenna’s Mother is shopping for energy drinks and 12 ounce bottles for Jenna
soccer team. Store a sells a case of 18 bottles for $10

Answers

Answer:If we have to find out how much ounces are in a case the answer is 216 ounces because I don’t know the question.

Step-by-step explanation:

(3 X 10^2) (3 X 10^3)
Answer pls

Answers

300 is the first one I think

Answer:

900000

Step-by-step explanation:

= (3 x 10 ^ 2) (3 x 10 ^ 3)

= (3 x 100) (3 x 1000)

= (300) (3000)

= 900000

HOPE THIS HELPS

PLZ MARK BRAINLIEST

2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile

Answers

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

Find the missing value.
Hint: Use the number line to find the missing value.
Helppp

Answers

Answer:

-2

Step-by-step explanation:

the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so

_2+7=5

Answer is 12! Gl on what ur doing!

write 3/5x+1/4y=-1/2 in standard form

Answers

Answer:

12 x  +  5 y  =  − 10

Step-by-step explanation:

help please! will mark brainliest!

Answers

Answer:

Hello! I'll help, but where is the question?

Step-by-step explanation:

Answer:

what do you need help with?????

Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?

Answers

Answer:

30%

Step-by-step explanation:

Answer:30%

Step-by-step explanation:

Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x

Answers

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

it is urgent.so anyone solve this

Answers

Answer:

Step-by-step explanation:

Answer:

1i.) x = 18

1ii.) x = 40

2.) x = 155

3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;

3ii.) BEF = 135°

Step-by-step explanation:

*All triangles add up to 180° in total of all angles added together*

i.) Find x

4x + 3x + 3x = 180°

10x = 180°

10x/10 = 180/10

x = 18

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

ii.) Find x

180 - 115 = 65

65° + 75° + x° = 180°

140° + x° = 180°

x° = 180° - 140°

x = 40°

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

2.) Find x

180 - 145 = 35

45° + 35° + n° = 180°

80° + n° = 180°

n° = 180° - 80°

n° = 100°

*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*

100 + 55 + m = 180

155 + m = 180

m = 180 - 155

m = 25

25 + x = 180

x = 180 - 25

x = 155

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

3.) Find Angles

i.) ABD

180° - 65° = 115°

Angle ABD = 115°

ii.) BEF

180° - 110° = 70°

70° + 65° + x° = 180

135° + x° = 180°

x° = 180° - 135°

x = 45°

180° - 45° = 135°

Angle BEF = 135°

Find the area of the shape shown below plsss hurry I only have limited time

Answers

Answer: 32

Step-by-step explanation: so we can start by finding the two small ones at the bottom. so 2 times 2 is 4/2 is 2, 2 times 6 is 12/2 is 6. then we have a square in the middle that is 2 times 2 is 4. then to find the rest, we can add the 2, the 6, and because we know the bottom middle shape is a square, another two, so we end up with a line of 10 unites. then we can do 4 times 10 is 40/2 is 20. then we add all of our answers. so 20 plus 2 plus 4 plus 6 which is 32.

Answer:

32

Step-by-step explanation:

4*10 = 40/2 = 20

2*2 = 4/2= 2

2*2=4

6*2 = 12/2= 6

20+2+4+6 = 32

Given h (x) = 2x + 5, solve for x when h (x) = 3

Answers

Step-by-step explanation:

h(x)=2x+5

3=2x+5

3-5=2x

-2=2x

x= -2

2

x= -1

hope it help u

The value of x when h (x) = 3 would be -1.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given a function of x as;

h(x)=2x+5

We need to find the value of x when h (x) = 3

Thus,h(x)=2x+5

Plug the value;

3=2x+5

Remove 5;

3-5=2x

-2=2x

So, x = -2 /2

x= -1

Hence, the value of x when h (x) = 3 would be -1.

Learn more about equations here;

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You start at (5, -4). You move down 1 unit. Where do you end?

Answers

Answer:

(5,-5)

Step-by-step explanation:

You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same

y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4

Answers

It would be A
Slope is 0, y = -4

Answer:

A

Step-by-step explanation:

The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)

What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5

Answers

Answer:

6.33333 is the answer <3

Find in slope standard form 3х – 5y = 10

Answers

Answer:-5y=-3x+10

Divide all by -5

Y= 3/5x+10/-5

Negative divide by negative is positive--3/-5= 3/5

Slope is 3/5 y intercept is -2

Step-by-step explanation:

The answer would be

-5y=-3x+10

1,682inches rounded to the nearest hundredth is 1,68?

,

Answers

Answer:

correct its 1.68

Step-by-step explanation:

-1 1/2 minus positive 3 1/2--5/8 equals what

Answers

Answer:

[tex]2\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]-1\frac{1}{2} - ( -3\frac{1}{2} ) - \frac{-5}{8} = 2\frac{5}{8}[/tex]

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?

Answers

I believe $241.50 would be your answer

Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?​

Answers

Answer:

6

Step-by-step explanation:

6/1=6

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