Golving Linear Equation Application Problems


Content attribution


Use a Formula to Solve a Real World Application


Question


On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend. On Sunday evening, due to


heavy traffic, it took Jennifer 4 hours to return home. Her speed was 5 mi/hr slower on Sunday than on Saturday. What was


her speed on Sunday? Do not include units in your answer.


Provide your answer below:


FEEDBACK

Answers

Answer 1

Answer:

Speed of Jennifer on Sunday [tex]=45[/tex] mi/hr

Step-by-step explanation:

Let speed of Jennifer on Saturday be x mi/hr

On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend.

Distance travelled by Jennifer on Saturday = Speed × Time [tex]=3.6x[/tex] miles

Speed of Jennifer on Sunday = [tex](x-5)[/tex] mi/hr

On Sunday evening, due to  heavy traffic, it took Jennifer 4 hours to return home.

Distance travelled by Jennifer on Sunday = Speed × Time [tex]=4(x-5)[/tex] miles

As distance is obviously same on both Saturday and Sunday,

[tex]3.6x=4(x-5)\\3.6x=4x-20\\20=4x-3.6x\\20=0.4x\\x=\frac{20}{0.4}\\ x=50[/tex]

Therefore,

Speed of Jennifer on Sunday = [tex](50-5)=45[/tex]  mi/hr


Related Questions

Evaluate 6y - 2 by substituting each value for y.( show working out)

A) y= 1/3 B) y= 2.5​

Answers

Answer:

A) 0

B) 13

Step-by-step explanation:

A) 6*1/3=2, 2-2=0. 6(1/3)-2=0

B) 6*2.5=15, 15-2=13. 6(2.5)-2=13

What is the slope of the line graph?

Answers

Answer:

The slope of the line graph is (12,-6)

Step-by-step explanation:

If you start at the bottom point and go up you will count 12. Then, if you go 0ver until you get to the top point you will count 6. Since you are going back, it would be a -6.

Can someone give me a step-by-step process for how to solve this? Try to inform as best as you can, as I want to actually learn something. Thanks :)

4(h + 12) = 80

Answers

Answer:

h=8

Step-by-step explanation: can u make me brainliest plz?

Step 1: Simplify both sides of the equation.

4(h+12)=80

(4)(h)+(4)(12)=80(Distribute)

4h+48=80

Step 2: Subtract 48 from both sides.

4h+48−48=80−48

4h=32

Step 3: Divide both sides by 4.

4h/4=32/4

h=8

so first you want to distribute. multiply 4 by h and 4 by 12
4(h+12)=80
4h+48=80
now isolate the variable. to do that you have to subtract 48 and get it on the other side. but remember, whatever you do to one side you have to do to the other
4h+48=80
-48 -48
4h=32
now you have to do inverse operations and divide 4h by 4. remember, whatever you do to one side you have to do to the other.
4h=32
— —
h=8

there you go! hope that helps!

six less than the quotient of d and g

Answers

Answer:

[tex](d/g)-6[/tex]

or

[tex]\frac{d}{g} -6[/tex]

Hope this helps :)

Pls help and ty, I will give brainlists if it gives me the opion to.
The files below.

Answers

Answer: 15 degrees below zero

Plz mak brainliest

Answer:

1. 10-25 = -15˚

2. 48-6 = 42˚

3. Negative

4. Positive

5. you can probably do that by urself

Step-by-step explanation:

What’s the answer 6^8n+6=1296

Answers

Answer:

So I did it and I got 4 it might be right might not I hope this helped.

Step-by-step explanation:

Which two operations are needed to write the expression that represents "four times the difference of a number and
three"?
multiplication and subtraction
O division and subtraction
O multiplication and addition
division and addition

Answers

It would be multiplication and subtraction
4(x-3)
four times
( the difference of a number “x” and three)
difference means subtraction every time.

Answer:

A:) multiplication and subtraction 

Step-by-step explanation:

5. Find the value x. (3pts.)
6x - 18
3x + 18
someone help

Answers

Answer:

x=12

Step-by-step explanation:

6x - 18 = 3x + 18

6x = 3x + 36

3x = 36

x=12

Answer:

its 12

Step-by-step explanation:

Express 8.3% as a ratio. OR Find 7% of 500.​

Answers

Answer:

8.3 / 1

Step-by-step explanation:

Its simple... search it up

Answer:

7% of 500=7/100*500=35

Lionel walks 3/5 mile in 1/3 of a day. Cristiano walks 5/8 mile in 2/6 of a day.
Who walked farther, Cristiano or Lionel? How much did each boy walk in 1 day?

Answers

Answer:

            Cristiano walked farther In 1 day:   Lionel walked  1.8 mile                  Cristiano walked 1.875 mile

Step-by-step explanation:

2/6 = 1/3  so we just need to know what is more 3/5 or 5/8

3/5 = (3•8)/(5•8) = 24/40

5/8 = (5•5)/(8•5) = 25/40

25 > 24  so 5/8 > 3/5

so Cristiano walked farther

They walk for 1/3 of a day so in a whole day they walk three times the distance

3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile

5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile

Please help me with this is my last question

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

........................

To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?

Answers

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

To learn more about inequality :

https://brainly.com/question/14506583

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What is the least integer value in the solution set to log3(8x – 37) > 5?

34
35
36
37

Answers

Answer:

36 or C

Step-by-step explanation:

Got it right on edgenuity

Answer:C, 36

Step-by-step explanation:

just took the unit test edge2022

What is the value of x?​

Answers

Answer:

31 degrees

Step-by-step explanation:

149 + 149 = 298

360 - 298 = 62

62 / 2 =31

Answer:

61 degrees

Step-by-step explanation:

you know that there is a strait line which is equal to 180. So if you subtract 149 from 180 you get 31 which is the angle included with x. therefore you subtract your total number, which is 92 by 31 and you get 61 degrees

Use complete sentences to describe the inverse of a function. ( I'm doing inverse functions with sin and inverse sin or arcsin idk)

Answers

Answer:

The relation found by interchanging the range and the domain of a given function.

Step-by-step explanation:

Find the missing number?

Answers

Answer:

$4.60 and $18.40

Step-by-step explanation:

The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.

Calculate the following using the Density Formula: What is the volume of the Ms. Gonsalez's phone that he dropped in his sink, if the mass of the phone is 12.4 g and the density is 6.2 g/mL? *

Answers

Answer:

2 mL³

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume.

Plug in the mass and density, then solve for the volume:

D = m/v

6.2 = 12.4/v

6.2v = 12.4

v = 2

So, the volume is 2 mL³

Any help is good but kinda hard

Answers

Answer: 65+75+2x=180

Solve that ^

Step-by-step explanation:

So you know a triangle adds up to 180 so put it all in an equation (please mark this brainliest)

Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)

Answers

Answer:

D. 3(x-1) = 3x-3

Step-by-step explanation:

I'm sure that's the answer

Answer:

D and E

Step-by-step explanation:

50 points if you answer correctly

Answers

Answer:

[tex]f(3) = {3}^{2} + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15[/tex]

Answer:

1. D. 15

2. A. 3

3. A. c= 6g+5

4. A. All real numbers

5. D

                                         

                                     

Given the point and its image, determine the scale factor.
B(2,5) B'(1,2.5)
1/3
1/2
2
0 1

Answers

Answer:

it would be 2

Step-by-step explanation:

Bria drank an 8-ounce glass of water
from a 32-ounce container of water. How
many more 8-ounce glasses were left?

Answers

Answer:

3  8-ounce glasses of water were left

Step-by-step explanation:

If you divide 32 by 8, you get 4. And since she already drank a glass of water, you subtract 1 from 4, and you are left with 3.

solve for p
19/20=3p/18

Answers

Answer:

p=5.7

Step-by-step explanation:

Cross multiply.

Answer:

p = 5.7

Step-by-step explanation:

Given

[tex]\frac{19}{20}[/tex] = [tex]\frac{3p}{18}[/tex] ( cross- multiply )

60p = 19 × 18 = 342 ( divide both sides by 60 )

p = [tex]\frac{342}{60}[/tex] = [tex]\frac{57}{10}[/tex] = 5.7

HELP PLZZ ASAP WILL GIVE 50 POINTS
Adrienne said that a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit, and a vertical shift down 3 units of the graph of the parent function f(x)=ex produce the graph of the function g(x)=4ex−1+3. Explain whether Adrienne is correct and, if not, determine the transformations that produce the graph of the function g(x)=4ex−1+3 from f(x)=ex.

Answers

Answer:

known facts:

The graph of y=f(x−a), a>0

y=fx-a, a>0  

can be obtained by shifting graph y=f(x)

y=fx, a units right side of x-axis. The graph of y=f(x)+a, a>0 y= fx+ a,a>0

can be obtained by shifting graph y=f(x)

y=fx, a units upwards along y-axis.

Adrienne said:

a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit and a vertical shift down 3 units of the graph of the parent function f(x)=ex

f(x)=e^x

produce the graph of the function g(x)=4ex−1+3

g(x)=4e^x-1+3.

by the above known facts, it can be concluded that

Adrienne is not correct

Step-by-step explanation:

i hope this helps you, i'm still doing it but i have to go for a min, one sec! <3

the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:

- Vertical Stretch by a factor of 4.

- Horizontal Shift to the Right 1 unit.

- Vertical Shift Down 3 units.

Adrienne's statement about the transformations applied to the parent function f(x) = eˣ is not entirely correct. Let's analyze the given function g(x) = 4eˣ - 1 + 3 and determine the correct transformations.

1. Vertical Stretch by a factor of 4: This transformation is correct. Multiplying the function by 4 causes a vertical stretch, which magnifies the y-values by a factor of 4.

2. Horizontal Shift to the Left 1 unit: Adrienne incorrectly mentioned a horizontal shift to the left. In the given function, g(x), there is no explicit horizontal shift. The -1 in g(x) = 4eˣ - 1 + 3 is actually a reflection of the graph across the y-axis, causing a horizontal shift to the right by 1 unit. So, there is a horizontal shift to the right by 1 unit, not to the left.

3. Vertical Shift Down 3 units: This transformation is correct. Adding 3 to the function shifts the graph vertically downward by 3 units.

Therefore, the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:

- Vertical Stretch by a factor of 4.

- Horizontal Shift to the Right 1 unit.

- Vertical Shift Down 3 units.

Learn more about transformations here

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Question 6 of 19
Which of the following numbers is closest to 6?
A. V38
B. 39
C. 35
D. 134
SUBMIT

Answers

35 is the most closest to 6

A ball held 2.0 meters above the floor has 59 joules of potential energy. The ball’s mass
the answer3

Answers

Answer:

Step-by-step explanation:

potential energy=mgh

59=m×9.8×2

19.6 m=59m=59/19.6≈3.01 gram

What is the value of y?
y - 12
56
#
Choice
A.
56°
B.
1120
C.
440
D.
68°

Answers

9514 1404 393

Answer:

  D.  68°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so ...

  y° +(y-12)° +56° = 180°

  2y = 136

  y = 68

The angle marked y° is 68°.

I need help please ​

Answers

-3 in the equation will be where the line starts on the y-axis. The 3/4x is the slope or how steep the line will be. Always remember rise/run or rise over run. Basically it means that the numerator in the equation, the 3 means that the line will go 3 units up and the 4 in the equation will mean that it will go 4 units to the right. Hope this helped

What integer represents spending $100

Answers

Answer: <100

Step-by-step explanation:

can someone help me to solve 3/4÷1/2=​

Answers

Answer:

3/4 ÷ 1/2 is one and one half or 3/2

Answer:

1.5 or 1 1/2

Step-by-step explanation:

3/4 divided by 1/2 is simply a reverse order of multiplication.

As you see if you swap the 1 and 2 in one half you get 2 over 1.

This changes the division sign to a multiplication sign.

Thus then you can multiply 3/4 by 2 to get 6/4.

6/4 then can be simplified as 1 and 1/2 or 1.5.

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