Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.

a. Write an inequality that represents the miles that Sherrod and Kamar drive.

b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.

Answers

Answer 1

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

x + y ≤ 900

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

First combination; (600, 300)

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

Second combination; (300, 600)

Learn more about inequalities here:

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Related Questions

Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A

Answers

Answer:

42 and 54

Step-by-step explanation:

CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?

1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2

Answers

Answer:

2:A number is greater than 17.2

Step-by-step explanation:

the ">" in the inequality represents is greater

so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.

Answer:

2

Step-by-step explanation:

Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .

kindly stay out if u don't know the answer :)
spams , plagiarism = reported

Thanks for answering...​

Answers

Answer:

1200 I THINK

Step-by-step explanation:

Answer :-

11200

Step by step explanation :-

Here,

Principal = 10,000Time = 1 year rate = 12 %

The intrest payable on 100$ for 1 year = 12 $

The interest payable on 10,000$ borrowed for 1 year

[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]

so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )

11200 $

C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute

Answers

Answer:

he can shoot 12 shots in 1minute

Step-by-step explanation:

3minutes = 36 shots

1 minute= 36 divided by 3 which is equal to 12

The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]

Answers

4:7

Take the square root of each square to get the side lengths

4*4=16
7*7=49

Answer:

4:7

Step-by-step explanation:

We know that

Area of square = s²

For square 1

16 = s²

√16 = s

4 = s

For square 2

49 = s²

√49 = s

7 = s

Scale factor = 4:7

please help with this

Answers

Answer:

v = 32

Step-by step explanation:

Step-1: Subtract 15 both sides

⇒ v/4 + 15 = 23

⇒ v/4 + 15 - 15 = 23 - 15

⇒ v/4 = 8

Step-2: Use cross multiplication

⇒ v/4 = 8

⇒ v = 8 × 4 = 32

Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.

Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis






Answers

The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

What is reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

So, the △A'B'C' is:

△ABC:

A (4,1)B (−2,3)C (−1,1)

Now, Translation: (x,y)→(x+2,y+1) (

(x: axis is the line of reflection)

△A'B'C'

A' (6, -2)B' (-4, -4)C' (-3, -2)

Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

Know more about reflection here:

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#SPJ1

Hurry plz!!! graph y= 5/3x - 9

Answers

Answer:

This is what it would look like! Hope this helps!

guys cqn you help me please ​

Answers

yan po answer

#CARRYONLEARNING

LOVE U ALL

y = x + 2.Let x be 0. Then y = 2.Let x be 4, then y = 6.Let y be 0, then x = -2.Let A be (0, 2), B be (4, 6), C be (-2, 0).Plotting the points on a given graph, we get the graph as shown in the picture.

Hope you could get an idea from here.

Doubt clarification - use comment section.

simplify 3q+3q+4q²


Explanation and working out please​

Answers

Answer:

6q+4q²

Step-by-step explanation:

3q+3q+4q²

All you have to do is combine like terms(CLT)

3q+3q=6q

You can't combine 6q and 4q².

The end result is 6q+4q².

-hope it helps

Answer:

2q(2q+3)

Step-by-step explanation:

Solve for the positive value of x: 2x² = 50

Answers

Answer:

x=5

Step-by-step explanation:

i believe that it is x=5

In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.

Answers

Answer:

altitude = 15 cm

Step-by-step explanation:

you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'

a² + 8² = 17²

a² + 64 = 289

a² = 225

a = [tex]\sqrt{225}[/tex]

a = 15

Reduce the fraction and find the domain:

(c+2)^2 divided by 7c^2+14c

Answers

the answer is c + 2/7c

2b-3(1+b)=-3(b+7) help

Answers

Answer:b = -9Step-by-step explanation:2b - 3(1 + b) = -3(b + 7)=> 2b - 3 - 3b = -3b - 21=> -b - 3 = -3b - 21=> 2b = 3 - 21=> 2b = -18=> b = -9Conclusion:

Hence, 'b = -9' is the answer.

Hoped this helped

[tex]BrainiacUser1357[/tex]

As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?​

Answers

Answer:jjjjjjjjjjjjjjjjjjjj

jjjjjjjjjjjjjjjjjjjjjjjjjj

jjjjjjjjjjjj

jjjjjjjj

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no

Answers

Answer:

YES

Step-by-step explanation:


What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000

Answers

Answer:

C 6,000,000

Step-by-step explanation:

Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer: To to find the percentage, you simply need to divide 45 by 60:

Step-by-step explanation:

45/60= .75

Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%

Answer:

75%

Step-by-step explanation:

To find the percentage of questions Darren got correct, first create a fraction.

question's correct/total question's so 45/60

Then, convert the fraction to a percent.

45/60 = 0.75 =75%

So, Darren got 75% of the questions correct.

hope i helped

The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6).

Answers

Answer:

The expression 3r - 6 can be written as 3(r - 2)

Step-by-step explanation:

We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.

E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet​

Answers

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

HELP ASAPPPPPPPPPPPPPPPPP

Answers

Answer:

b. Kilograms

Step-by-step explanation:

B) Kilograms is the answer

A two-digit integer is randomly selected. What is the probability that its digits are

different? Express your answer as a common fraction.

Answers

Answer:

9/10

Step-by-step explanation:

There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.

Whatever the first digit is, there are 9 ways to make the 2nd digit different.

Find the inverse of

Answers

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x

Hope that helps

2(x-3) < 3(2x+2)
How do I solve for x

Answers

Answer:

x < -3

Step-by-step explanation:

2(x-3) < 3(2x+2)

Use the distributive property.

(2× x)-(2×3) < (3 × 2x) + (3×2)

2x-6 < 6x+6

add 6 to both sides

2x < 6x+12

subtract 6x from both sides.

-4x < 12

divide both sides by -4

x < -3

what is the simple definition of standard form

Answers

Answer:A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years.

Step-by-step explanation:

Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No

Answers

Answer:

I'm thinking its a no because the money is odd every time Jayden adds $5

Step-by-step explanation:

Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.

Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.

Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,

[tex]\to y = 11+5x[/tex]

Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,

[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]

As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].

Learn more:

brainly.com/question/11925965

if you multiply a number by 3 an then subtract 5,you will get 40.what is the number?

Answers

Answer:

The answer is 15

Step-by-step explanation:

15*3=45-5=40

A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. X > 0 and y > 0 0 < x ≤ 200 and y > 400 0 < x and y < 200 0 < x ≤ 200 and 0 < y ≤ 400.

Answers

The constraints to represent the incoming students at the college are [tex]0<x \leq 200[/tex] and [tex]0<y \leq 400[/tex] and this can be determined by using the given data.

Given :

College plans to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students.x is the number of out-of-state students and y is the number of in-state students.

The following steps can be used in order to determine the constraints to represent the incoming students at the college:

Step 1 - The inequalities are formed in order to determine the constraints to represent the incoming students at the college.

Step 2 - The linear equation that represents the situation "two times as many in-state students as out-of-state" is:

[tex]y = 2x[/tex]

Step 3 - The inequality that represents the situation "college only have space to accept 200 out-of-state students" is:

[tex]0<x \leq 200[/tex]

Step 4 - So, the inequality that represents the maximum number of in-state students that college can take is:

[tex]0<y \leq 400[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/19491153

please help and show work I'll mark you brainliest if I can ​

Answers

Answer: If your talking about the angle degree it is 45°

Step-by-step explanation:

If one plane is flying 40 mph and another plane is flying 100 mph, and they
are 200 miles apart and flying directly toward each other, in how long will the planes
meet2

Answers

Answer:

i think 60 miles

Step-by-step explanation:

I just added the 100+40 then

200-140

Answer:

  1 3/7 hours

Step-by-step explanation:

The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...

  time = distance/speed

  time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h

The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.

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