In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?

7 < h < 9
7 > h > 9
h < 7 or h > 9
h > 7 or h < 9

Answers

Answer 1

Answer:

Option C is correct.

The inequalities can be written as one statement as : h<7 or h>9

Step-by-step explanation:

Let h be the working hours

Antonio can drive home after working less than 7 hours.

Less than  symbol represented by ('<')

then, we have  h<7

Antonio after working more than 9 hours.

More than symbol represented by ('>').

then, we have h>9

Since, we use inequalities when there is a range of possible answers for a given situation

Now, as per the given statement,

the inequalities can be written as one statement as; h<7 or h>9


Related Questions

Find the circumference of a circle whose area is 24pi ft^2

Answers

Area = 24pi ft^2 = pi * r^2
This gives r = root24


Circumference = 2pi * r
= 2pi * root24
= 4pi * root6


Hope I'm able to help you.

Answer:

30.76 [tex]ft^{2}[/tex]

Step-by-step explanation:

To calculate the circumference of a circle you just have to multiply the diameter by pi.

C= D*[tex]\pi[/tex]

And in order to calculate the value of the diameter you have to clear the formula for the area.

A= [tex]r^{2} *\pi[/tex]

r=[tex]\sqrt{\frac{24 \pi }{\pi } }[/tex]

r=[tex]\sqrt{24}[/tex]

r=4,89

Once we get the radius, we only have to calculate the diameter:

D=2r=9,79

now we just calculate the circumference:

C=D*[tex]\pi[/tex]= (9.79)(3.14)= 30.76

A circle is increased to have a circumference that is 4 times larger than the original. Which of the following options best describes the change in the radius of the original circle?

Answers

Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.

Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.

We can calculate exact area and circumference of a circle from its radius using the following equations:

Area of circle = (pi/4)*r^2

Circumference of circle = 2*pi*r

Where r is the radius of the circle.

I know this is a lot, sorry.

Which list has the numbers in order from least to greatest

Answers

B is the correct answer.

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?

6 ounces
12 ounces
18 ounces
27 ounces

Answers

Answer:

The answer is C. 18 ounces

Step-by-step explanation:


Answer:

c on egde

Step-by-step explanation:

Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;

●cups and liters,
●cups and pints,
●and pints and liters.

Show all your work and submit your work along with the resulting relationships.

Answers

7 cups + 3 litres = 9.8 pints 
[tex]7c+3l=9.8p[/tex] ⇒ Equation 1

5 litres - 9 cups = 6 pints
[tex]5l-9c=6p[/tex] ⇒ Equation 2

Relationship between cups and litres
Rearranging equation 1 to make pints the subject
[tex]7c+3l=9.8p[/tex]
[tex]p= \frac{7c+3l}{9.8} [/tex] ⇒ substitute this into Equation 2

[tex]5l-9c= \frac{7c+3l}{9.8} [/tex]
[tex]49l-88.2c=7c+3l[/tex]
[tex]49l-3l=7c+88.2c[/tex]
[tex]46l=95.2c[/tex]
[tex]l=2.1c[/tex]

Hence, 1 litre = 2.1 cups

Relationship between cups and pints
Rearrange equation 1 to make litres the subject
[tex]7c+3l=9.8p[/tex]
[tex]3l=9.8p-7c[/tex]
[tex]l= \frac{9.8p-7c}{3} [/tex] ⇒ Substituting this into Equation 2

[tex]5( \frac{9.8p-7c}{3})-9c=6p [/tex]
[tex] \frac{49p-35c}{3}-9c=6p [/tex]
[tex] \frac{49}{3}p- \frac{35}{3}c-9c=6p [/tex]
[tex] \frac{49p}{3}-6p= \frac{35}{3}+9c [/tex]
[tex] \frac{31}{3}p= \frac{62}{3}c [/tex]
[tex]p=2c[/tex]

Hence, 1 pint = 2 cups

Relationship between pints and litres
Rearranging equation 1 to make cup the subject

[tex]7c=9.8p-3l[/tex]
[tex]c= \frac{9.8p-3l}{7} [/tex] ⇒ subsitute this into equation 2

[tex]5l-9( \frac{9.8p-3l}{7})=6p [/tex]
[tex]5l- \frac{63}{5}p+ \frac{27}{7}l=6p [/tex]
[tex]5l+ \frac{27}{7}l=6p+ \frac{63}{5}p [/tex]
[tex] \frac{62}{7}l= \frac{93}{5}p [/tex]
[tex]l=2.1p[/tex]

Hence, 1 litre = 2.1 pints


Here's work you can copy and paste:

7 cups + 3 liters = 9.8 pints

7c+3l=9.8p

5 liters - 9 cups = 6 pints

5l+9c=6p

Cups and Liters

7c+3l=9.8p

p= 7c+3l/9.8 (put in equation 2)

5l-9c= 7c+3l/9.8

49l-88.2c=7c+3l

49l-3l=7c-88.2c

46l=45.2c

1Liter = 2.1 Cups

Cups and Pints

7c+3l=9.8p

3l=9.8p-7c

l=9.8p-7c/3 (put in equation 2)

5(9.8p-7c/3)-9c=6p

(49p-35c/3)-9c=6p

49/3p-35/3c-9c=6p

49/3p-6p=35/3c+9c

31/3p=62/3c

1 Pint = 2 Cups

Pints and Liters

7c=9.8p-3l

c=9.8p-3l/7 (put in equation 2)

5l-9(9.8p-3l/7)=6p

5l-63/5p+27/7l=6p

5l+27/7l=6p+63/5p

62/7l=93/5p

​1 Liter = 2.1 Pints

x/9=4/y=y/36 solve for x

Answers

This is not possible, unless x = 1.

a student scores 71 out of 100 on a test, if the maximum score on the tests is also 100, what score does the student need to maintain at least an average of 78?

Answers

(71+x)/2=78
71+x=156
x=85

Th student needs to score a min of 85

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 2 units, the value of k is ________. Numerical Answers Expected!

Answers

Answer: The value of k is 2.


Step-by-step explanation:

Given : The graph of [tex]f(x)=(0.5)x[/tex] is replaced by the graph of [tex]g(x)=0.5)x-k.[/tex]

If g(x) is obtained by shifting f(x) down by 2 units, then [tex]g(x)=(0.5)-2[/tex]

[since f(x)shifted down down by 2 , so only the value of dependent variable effect]

When we compare both functions of g(x), we found that k=2.

Hence, the value of k is 2.

The value of [tex]k[/tex] is 2.

The following information should be considered:

when [tex]g(x)[/tex] is obtained by shifting f(x) fall by 2 units so [tex]g(x) = (0.5) - 2.[/tex]Since [tex]f(x)[/tex] shifted down by 2 so there is the effect on the dependent variable. Now at the time of comparing both functions of g(x) the k should be 2.

Learn more: brainly.com/question/17429689

Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing? Check all that apply.
x2 = 4y
x2 = –6y
y2 = x
y2 = 10x
y2 = –3x
y2 = 5x

Answers

it answer is c ,d and f

The correct equations are [tex]y^2 = x[/tex], [tex]y^2 = 10x[/tex] and [tex]y^2 = 5x[/tex] respectively

What is a Parabola?

A parabola is symmetrical open plane curve that is created by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

In the given question, Lauren describes a parabola that has positive non zero coordinate value on

focus

The equation of focus of a parabola is given as

[tex]y = a(x - h)^2 + k[/tex]

In the options given,

[tex]y^2 = x[/tex] is correct

[tex]y^2 = 10x[/tex]  is also correct and

[tex]y^2 = 5x[/tex] is correct

This shows that only option c, d and f are the right answers.

The correct equations are [tex]y^2 = x[/tex], [tex]y^2 = 10x[/tex] and [tex]y^2 = 5x[/tex] respectively

Learn more on focus of a parabola here;

https://brainly.com/question/4061870

answer both questions to get brain ( if u cant see all the answers its fine all u need is the question)

Answers

Answer:

a and c

Step-by-step explanation:

What is the least common denominator of the equation ? 2/9x+2/3x=7

Answers

LCD of 2/9x + 2/3x = 7/1 is gonna be 9 (u can put that 1 under the 7 if it helps u)

The lines y = 2x + 1 and y = -5x - 6 intersect at?

Answers

They will intersect at (-1, 1)
2x+1=-5x-6    x=-1   put x into equation  for example  y=2*(-1)   y=-2   
so intersect at (-1,-2)

classify the following triangle . check all that apply

Answers

One of the angles is more than 90 degrees  ⇒  Obtuse

Two equal sides  ⇒ Isosceles

Answer:

Option (a) and (d) is correct.

The given triangle is obtuse and isosceles.

Step-by-step explanation:

Given : A triangle with measure of one angle is 120° and two legs of the triangle are given equal in length.

We will have to choose the correct classification for the given triangle.

For a triangle if the measure of one the angles is

1) less than 90 then it is acute triangle ,

2) equal to 90 then right triangle

3) greater to 90 then obtuse triangle

Since the measure  of one angle of the triangle is 120° > 90° Thus, the given triangle is obtuse.

For a triangle if all the three sides are equal then it is equilateral triangle, if two sides are equal then it is isosceles and if no side is equal then it is scalene.

Since, for the given triangle, the two legs of the triangle are given equal in length so it is an isosceles triangle.

Thus, the given triangle is obtuse and isosceles.

a polynomial of degree zero is constant term. true or false

Answers

The answer is true for a polynomial of degree zero

is √2/3 a rational or irrational

Answers

sqrt(2/3) = 0.816496

since it is a decimal with no repeating numbers it would be irrational

Irrational because you would get a decimal

If the population of Town B is 50% greater than the population of Town A and the populations of Town C is 20% greater than the population of Town A, then what percent greater is the population of Town B tan the population of Town C

Answers

Let
A = population of town A,
B = population of town B,
C = population of town C.

Because the population of town B is 50% greater than that of town A,
B = 1.5A                    (1)

Because the population of town C is 20% greater than that of town A,
C = 1.2A                  (2)

From (1), obtain
A = B/1.5 = (2/3)B        (3)

Substitute (3) into (2).
C = 1.2*(2/3)*B = 0.8B
Divide each side by 0.8.
1.25C = B
This result means that B is 25% greater than C.

Answer: 25%

What is the value of x?

Answers

x+(4x-20)=180
=>5x-20=180
=>5x=200
=>x=40

Which best describes the range of the function f(x) = 2(1/4) after it has been reflected over the y-axis? all real numbers all real numbers less than 0 all real numbers greater than 0 all real numbers less than or equal to 0

Answers

your answer should be C 
all numbers greater than 0

Answer:

All real numbers greater than 0.

Step-by-step explanation:

We have the function, [tex]f(x) = 2(\frac{1}{4})^{x}[/tex].

'Reflection over y-axis means to flip the graph over y-axis', which changes the function by f(x) becomes f(-x).

So, after reflection, the given function transforms into,

[tex]g(x)=f(-x)[/tex]

i.e. [tex]g(x)=2(\frac{1}{4})^{-x}[/tex]

According to the graph of the function g(x), we see that,

Range of [tex]g(x)=2(\frac{1}{4})^{-x}[/tex] is the 'Set of all real non-negative numbers' i.e. {x | x > 0} i.e. [tex](0,\infty)[/tex]

What does interior angle A of the polygon in the figure equal? A. 110 B. 150 C. 230 D. 100

Answers

Sum of Interior Angles with n = 6
(n-2) × 180° = 4 x 180 = 720

A = 720 - (50+100-120-110 - 230)
A = 110

answer is A. 110

1/5 [4(x+2)-(3-x)]=4

Answers

3
Hope you wanted this answer ^.^  

What is 2.33 written as a mixed number in simplest form?

Answers

2.33.......ok, 2 is ur whole number....33 is ur fraction...the last digit is in the hundredths place....so put it over 100

ur mixed number is 2 33/100...and this does not reduce
233/100..this is already is a simpler form

A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points) Part B: Solve 4x2 − 12x + 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

PART A:

The given quadratic equation is 2x²-10x-8=0

The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c

From the given equation, we have
a = 2
b = -10
c = -8

Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164

The radicand is >0 hence the quadratic equation has two distinct roots

PART B:

4x²-12x+5 = 0

We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12

The pair of number is -2 and -10
Rewriting the equation 
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0

2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2

If 3a+4b = 4a-4b = 21 find the value of a

Answers

a-4b=4b
a=8b
Plug it in:
24b+4b=21
28b=21
b=21/28
a=8b=6.
Using the 2nd and 3rd you have:

4a-4b=21

4a=21+4b

a=(21+4b)/4

now using 1st and 2nd

3(21+4b)/4+4b=4(21+4b)/4-4b

(63+12b+16b)/4=(84+16b-16b)/4

63+28b=84  

28b=21

b=21/28

b=3/4

.... now using 4a-4b=21 we have

4a-4(3/4)=21

4a=3=21

4a=24

a=6


A dogs weight increased by 50% in 3 years . By the end of the 3years , the dog weighed 45 pounds . How much did the dog weigh 3 years ago

Answers

Let, the weight before 3 years = x

Then, it would be: x * 150/100 = 45
x * 1.5 = 45
x = 45/1.5
x = 30

So, your final answer is 30 Pounds
Goodluck

Final answer:

To calculate the dog's weight from three years ago, we take the current weight and divide it by 1.50 since the weight increased by 50%. The equation 1.50 * x = 45 pounds results in x = 30 pounds, indicating the dog weighed 30 pounds three years ago.

Explanation:

The question concerns the original weight of a dog whose weight increased by 50% over a period of three years, bringing its weight to 45 pounds at the end of that period. To determine the dog's weight from three years ago, we use the following steps:

Understand that a 50% increase implies that the final weight is 150% of the original weight (100% + 50%).

Represent the original weight as 'x'.

Set up the equation: 1.50 * x = 45 pounds.

Divide both sides by 1.50 to solve for 'x': x = 45 / 1.50.

Calculate 'x' to find that 'x' equals 30 pounds.

Therefore, the dog weighed 30 pounds three years ago.

Is 7/2 the same thing as 3.5

Answers

Yes because 7/2 is 3.5. So you are correct.
yes
3.5 as a fraction is 7/2 but in mixed numbers it's 3 1/2

A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferences for apple or orange juices. Out of the total 35 people who liked apple juice, eight liked orange juice also. There were 20 people who liked orange juice. Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points) Like apple juice Do not like apple juice Total Like orange juice A B C Do not like orange juice D E F Total G H I Part B: What percentage of the total people did not like either apple or orange juice? (3 points) Part C: Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer. (2 points)A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferences for apple or orange juices. Out of the total 35 people who liked apple juice, eight liked orange juice also. There were 20 people who liked orange juice. Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points) Like apple juice Do not like apple juice Total Like orange juice A B C Do not like orange juice D E F Total G H I Part B: What percentage of the total people did not like either apple or orange juice? (3 points) Part C: Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer. (2 points)

Answers

Seeming how it's just text and I can't determine what part A is talking about I'll make a new table.

Part A:(This table is a three by three table, with the first top two sections being liked apple juice and didn't like apple juice, and the first left two sections being liked orange juice and didn't like orange juice. The end sections are totals.)


         AJ   No  TotalOJ    8     20   28
No    27   45   72
Total 35   55   100

Part B:
(What percentage of the total people did not like either apple or orange juice?)

25 people did not like either apple or orange juice so 25/100 is 25%.

Part C:(Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer.)

There were a total of 28 people that liked orange juice against a total of 35 people that liked apple juice, so it is safe to say that out of the 100 surveyed there was more dislike for orange juice than apple juice.

Answer:

Part A: A = 8

B = 20

C = 28

D = 35  

E = 37

F = 72

G = 43

H = 57

I = 200

Part B: 18.5%

Part C:

D = People who do not like Orange Juice

B = People who do not like Apple Juice

I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.

D = 35

B = 20

So there is a greater dislike for Orange Juice.

Step-by-step explanation:

Twice a number decreased by 15 is equal to -27 . What is the number ?

Answers

2x - 15 = -27
2x = -27 + 15
2x = - 12
x = -12/2
x = -6 <==

How many times does 6 go into 22

Answers

Your Answer Is...

3.

Why?

6 X 3 = 18.

Glad I Could Help, And Good Luck!

My Brainly Name: AnonymousGiantsFan
Hey!

We can use long division to solve this,
Let's write it.
[tex]6\overline{|\smallspace22}\space\space\space\space[/tex]
Then, divide [tex]22[/tex] by [tex]6[/tex] to get [tex]3[/tex].
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient by the divisor...
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]18[/tex] from [tex]22[/tex].
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
As you can see, our answer using long division would be 3 with a remainder of 4. 

Thanks!
-TetraFish

give and example of a repeating decimal where two digits repeat

Answers

0.29292929292929 and it keeps going on like that.
3.63636363636363 is an example of a repeating decimal where two digits repeat :) 

Which statement is true about the solutions for the equation 3y + 4 = −2?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

I believe that the answer is B. If y=-2, 3(-2)+4=-2. 3(-2)=-6+4=-2

Answer:

B, One solution

Step-by-step explanation:

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