Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.

Naviah got a new job that requires her to commute. She drives at least 30 miles but less than 50 miles each week.

Part A. First write the compound inequality representing all possible disances in miles (x) Naviah could drive for 4 weeks.

Part B. Explain while you chose the symbols you used for the endpoints of the compound inequality in Part A.

Part C. Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from $2.25 to $2.50 per gallon each week. Write a compound inequality to model all of the possible amounts of money (m) Naviah spends on gas each week. Show or explain all work in detail

Answers

Answer 1

Step-by-step explanation:

Part A

At least 30 miles but less than 50 miles each week.

Required inequality:

30 ≤ x < 50

In 4 weeks:

120 ≤ 4x < 200Part B"At least" means equal or more than 30, hence 30 ≤ xLess than 50, hence x < 50Part C

At least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.

Match the lowest and highest ends. This is converted as:

8*$2.25 ≤ m ≤ 12*$2.50

Simplified:

$18 ≤ m ≤ $30


Related Questions

What is the slope of a line perpendicular to the line whose equation is x + 2y =8.
Fully reduce your answer.

Answers

Answer:

2

Step-by-step explanation:

First, put the line into y = mx + b form to find the slope (m)

x + 2y = 8

Subtract x from both sides

2y = -x + 8

Divide each side by 2

y = -1/2x + 4

So, the slope of this line is -1/2

Perpendicular lines have a opposite reciprocal slope, so the slope of a perpendicular line will be 2.

On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0). Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"? Reflection across the x-axis composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition reflection across the x-axis. 90 degree rotation about point 0 composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition 90 degree rotation about point 0.

please helpppppp ;( ILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

It would be a reflection across the x-axis, followed by a composition translation of -6 units x, and 1 unit y.

Step-by-step explanation:

If you were to graph each shape and follow this procedure, you will go from parallelogram ABCD to parallelogram A''B''C''D''.

use the volume formula to find the volume of the prism.

Answers

Answer:

Step-by-step explanation:

Answer:12 1/2

Step-by-step explanation:

Help. I don’t understand this

Answers

i don’t know all of them but the last one is correct.

you have a pie with 6 pieces and you eat 2. what fraction is that?​

Answers

Answer:

1/3 is eaten and 2/3 is left

Step-by-step explanation:

Say instead you cut the pizza into smaller pieces. How about cutting the whole pizza pie into 12 equal pieces? Each of five people takes one piece or 1/12 of the pie. Each piece is very small, much smaller than 1/6 of the pie or 1/4 of the pie. 5 of the 12 pieces or as a fraction 5/12 are gone. How many are left? 12 pieces minus 5 pizza slices equals 7 pieces left. Now 7 of 12 pieces pizza are left in your pie; that can be written as a fraction, too: 7/12.


Please can someone work out JUST B CALCULATE AN ESTIMATED FOR THR MEAN PLS!! I have only 5 mins till I had it in. 10 point!!!!

Answers

85.3?

Sorry if I’m wrong

The area of a sqaure is given by x², where x is the length of one side. Marys original garden was in the shape of a sqaure. She has decided to double the area of her garden. Enter an expression that represents the area of Marys new garden. An expression that represents the area is ?​

Answers

Answer:

2x^2

Step-by-step explanation:

X^2*2= 2x^2

Big brain strat :)

How many 1/6 pieces are there in 3/6

Answers

Answer:

there are 3 1/6 pieces

Step-by-step explanation:

since 3 x 1/6=3/6.

another explanation:

(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.

Jeremy is trying to explain why a triangle with side lengths 35, 30, 60 is not a right triangle. His explanation is shown below.

Step 1: 35 squared + 30 squared question mark equals 60 squared
Step 2: (35 + 30) squared question mark equals 60 squared
Step 3: 65 squared question mark equals 60 squared
Step 4: 4,225 not-equals 3,600

Which best describes Jeremy’s explanation?
Jeremy’s explanation is accurate.
Jeremy’s explanation is inaccurate. He wrote the leg lengths in the incorrect order in step 1.
Jeremy’s explanation is inaccurate. He incorrectly combined terms in step 2.
Jeremy’s explanation is inaccurate. He multiplied incorrectly in step 4.

Answers

Answer:

i would say a is the correct answer

Answer:

He incorrectly combined terms in step 2

Step-by-step explanation:

In Step 2, you can't combine 30² + 35² into (30 + 35)² so the answer is "He incorrectly combined terms in step 2".

The ratio of Miles to Minutes is 3:1. How many minutes would it take to go 12 Miles

Answers

Answer:

4 minutes

Step-by-step explanation:

Miles to Minutes = 3:1

Miles to Minutes = 12:?

12/3=4

Miles to Minutes = 12:(1x4)

Miles to Minutes = 12:4

Miles = 12

Minutes = 4

a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tickets did they give away to employees​

Answers

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

The total age of 5 children aged 3 years is 50 years. Find the age of the youngest and oldest child?​

Answers

Given:

Consider the total age of 5 children with age difference 3 years is 50 years.

To find:

The age of the youngest and oldest child.

Solution:

Let the ages of the 5 children are x-6, x-3, x, x+3, x+6.

Sum of their ages is 50 years.

[tex](x-6)+(x-3)+x+(x+3)+(x+6)=50[/tex]

[tex]5x=50[/tex]

[tex]x=\dfrac{50}{5}[/tex]

[tex]x=10[/tex]

The age of the youngest child is

[tex]10-6=4[/tex]

The age of the oldest child is

[tex]10+6=16[/tex]

Therefore, the age of youngest child is 4 years and the age of the oldest child is 16 years.

While commuting, a driver sets her smartphone to randomly play songs from a pre-selected list. Of the songs on the list, 6 are rock, 5 are hip-hop, and 3 are country. What is the probability that the first song played is rock?

Answers

Out of all the songs played , the probability that the first song played is rock would be, 2/7

Answer: 6/14

Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14

The table represents an exponential function.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction.

What is the multiplicative rate of change of the function?

Answers

Answer:

b. x/8 + x/16 = 3/4

4 miles

Step-by-step explanation:

edge

on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.

Answers

Answer:

d < - 60

Step-by-step explanation:

Given that:

Depth, d of ocean floor on first dive = 60 feets below sea level = - 60

Depth, d explored on second dive is deeper than that of fist dive

Hence, possible depth, d, explored on second dive can be represented by the inequality ;

d < - 60


♦️ANSWER NEEDED QUICK, SHOW YOUR WORK♦️

A seamstress uses 200 yards of fabric to make 150 dresses of the
same size. At this rate how many yards of fabric are needed to
make 1 dress?

Answers

Answer:

1 and 1/3 yard

Step-by-step explanation:

200 divided by 150 is equal to 4 divided by 3

using a fraction calculator i did

4       3            1

-    /   -     =   1  -

1       1              3

Answer:

How many yards to make one dress?  = 1.33

Step-by-step explanation:

This is a ratio problem (fractions) used to solve an unknown.

if 200yds makes 150 dresses then let x (your unknown) be the yds needed  to make 1 dress.

200/150 = x/1

150*x = 200*1

150x = 200

150x/150 = 200/150

x = 200/150  

x = 1.33333

1.5(a + 2) + 1.5a = 11.7

Answers

Answer:

2.9

Step-by-step explanation:

please help it’s urgent don’t give me the wrong answer :(

Answers

Answer:

i dont know

Step-by-step explanation:

this is a new answer bc someone deleted my very helpful one

which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)

Answers

Slope of the line = increase in y/ increase in x
8 - - 1 / -2 - 10
9 / -12
= 3/-4
Slope of the line = 3/-4

which of the following is equivalent to 5(2x - 3) - 4(3x - 2) = 18?

2x-7=18 -
2x-5=18
-2x-7=18
-2x-23=18​

Answers

Answer:

-2x-7=18

Step-by-step explanation:

my be this could help

What is the decimal equivalent of 3/6%

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

i need help please :)​

Answers

Answer:

A

Step-by-step explanation:

find the slope of the line

Answers

-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh

Help plssssss it’s an emergency

Answers

Answer:

All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...

Step-by-step explanation:

3x+8=-4

Subtract 8 from both sides.

3x+8−8=−4−8

3x=−12

Step 2: Divide both sides by 3.

3x=−12

3       3

x=−4

Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.

The correct answer is x = -4

Step-by-step explanation:

you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12

then you divide both sides by 3, leaving you with x = -4

The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?

Answers

Answer:

$7.50

Step-by-step explanation:

4 1/2 hours total

1st hour = $1.00 ;  3 1/2 hrs remaining

2nd hour = $1.50 ;  2 1/2 hrs remaining

after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00

What is the volume of the figure? Enter the answer in the box.

Answers

Well the first box is 5 times 5 times 8 which is a volume of 200.

The second box is 8 times 8 times 1 which is 64.

200 + 64 is 264 so the final volume is most likely 264.

In Ms. DLP's 8th period class there is
a ratio of 8 girls to 10 boys. What
percent are girls?


Answers

Answer:

8%

Step-by-step explanation:

the answer is right their in the ratio and the class as a whole would be 18 so there are 8 girls (8%) and 10 boys(10%)

Can someone tell me the answers ?

Answers

Answer: The first one is nonlinear, the second is nonlinear, and the third is linear.

Step-by-step explanation: The first one is nonlinear because when you calculate slope you get different numbers.

7-4/2-1 = 3/1= 3

4-3/1-0= 1/1= 1

Also when you graph it, it does not become a line. I can attach an image for evidence (Credits to other person who answered and commented on my answer thanks for finding my mistake.)

The second one has an exponent on the x, so it is not linear.

The third is a line so it is linear.

Answer:

Nonlinear, Nonlinear, Linear

Step-by-step explanation:

For if you graph 1 and 2 you will see both are not increasing evenly like a straight line, only the graph 3 shows a linear line.

5z+7=3 what solution

Answers

Answer:

z = -4/5

Step-by-step explanation:

5z + 7 = 3

5z = -7 + 3

5z = -4

z = -4/5

Hope this helps :)

Let me know if there are any mistakes!!

Combine like terms 3x^2 + 4x^3 + 6x^2

Answers

9x^2 + 4x^3
Hope this helped

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation:

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