4c < 28

Solve the inequality

Answers

Answer 1

Answer:

c < 7

Step-by-step explanation:


Related Questions

HELP 100 POINTS

A group of friends wants to go to the amusement park. They have $247.50 to spend on parking and admission. Parking is $12, and tickets cost $39.25 per person, including tax. Writer and solve an equation which can be used to determine p, the number of people who can go to the amusement park.

Equation:
Answer: p =

Answers

Answer:

p = 6

Step-by-step explanation:

Define the variable

Let p be the number of people who go to the amusement park.

Given information:

Maximum amount available to spend = $247.50Cost of parking = $12Cost of ticket (per person) = $39.25

Therefore, the equation that represents the given information and the defined variable is:

[tex]39.25p + 12 \leq 247.50[/tex]

(We have used the inequality sign since the question states the maximum amount of money the group of friends have to spend).

To solve, subtract 12 from both sides:

[tex]\implies 39.25p + 12 - 12 \leq 247.50 - 12[/tex]

[tex]\implies 39.25p \leq 235.50[/tex]

Divide both sides by 39.25:

[tex]\implies \dfrac{39.25p}{39.25} \leq \dfrac{235.50}{39.25}[/tex]

[tex]\implies p\leq 6[/tex]

Therefore, the maximum number of people that can go to the amusement park is 6.

Which is an x-intercept of the continuous function in the table? (0, –6) (3, 0) (–6, 0) (0, 3)

Answers

(3, 0) is the x-intercept

The x-intercept is the value of x when the value of the function is equal to zero.

That is the function is equal to 0.

When x = 3

f(x) = 0

Therefore the x-intercept is the point (3,0)

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What is the
y-value of the
of the
solution
system?
y = 5x + 3
y = 7x-3

Answers

Answer:

y is about equal to -4.692

Step-by-step explanation:

identify the type of angle formed between the hands of each clock ​

Answers

Answer:

5) acute

6)acute

7)reflex

8)reflex

Step-by-step explanation:

No 6&5 are acute because they are each less than 90 degrees while no7&8 are reflex because they exceed 180 degrees.

m²=68 what is m? help,please

Answers

The answer to the expression is 8.246

How to calculate the square root ?

A square root can be described as a factor of  a number that when multiplied twice gives the original number.

The first step is to write out the expression

m² = 68

Take the square root of both sides

√m² = √68

m= 8.246

Hence the value of m in the expression is 8.246

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pls help will mark as brainliest​

Answers

Answer:

12.

Step-by-step explanation:

I attached my answerrrrr

Help me for this ASAP
Pls now

Answers

Answer:

9×9=81

4×4×4×4×4= 1024

4×4×4×4×4×4×4=65536

7×7×7=343

9³=729

10∧5=100000

If satisfied please give a like

What is the answer to this problem?

Answers

Answer: 3

Step-by-step explanation:

A/B

30/10 = 3

H=3
substitute values in 30=10x
divide by 10 to get 3

A mother is choosing which baby foods to serve her infant. A jar of meat has 2g of protein and 34 calories. A jar of vegetables has 1g of protein and 17 calories. How much of each will she need to serve to get 5g of protein and 120 ​calories?

Answers

A mother will need 2 jars of meat and 1 jar of vegetable for 5g of protein and 3 jars of meat and 1 jar of vegetable for approx 120 calories.

Given that, a mother is choosing which baby foods to serve her infant. A jar of meat has 2g of protein and 34 calories. A jar of vegetables has 1g of protein and 17 calories. Now , we have to calculate how much she will be needed if she wants to serve 5g of protein and 120 ​calories respectively.

So, let's proceed to solve this question.

For 5g of protein she will be needed 2 jars of meat having 2g protein and 1 jar of vegetables which has 1g protein, then total protein will be equals to 5g.

5g of protein = 2 x A jar of meat + 1 x A jar of vegetables

For 120 calories, she will be needed 3 jars of meat and 1 jar of vegetable then it comes out to be 119 calories approximately equals to 120 calories.

So, 2 jars of meat and 1 jar of vegetable for 5g of protein and 3 jars of meat and 1 jar of vegetable for approx 120 calories.

Therefore, 2 jars of meat and 1 jar of vegetable for 5g of protein and 3 jars of meat and 1 jar of vegetable for approx 120 calories is the required answer.

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In an arithmetic sequence, the first term is 8, the common difference is 3 and the last term is 68.
a How many terms are there in this sequence?
b Find the sum of all the terms of the sequence.

Answers

Answer: a. 21 terms

b. 798

Step-by-step explanation:

a. 68-8=60 ==> difference between 1st and last term

60/3=20 ==> number of terms after the first term

20+1=21 terms ==> total number of terms

b. Find the mean of the terms first:

(68+8)/2=    ==> the mean of all terms in a sequence is equal to the mean of the first and last term

76/2=38

38*21=798   ==> add the mean 21 times to get the total sum since there are 21 terms in the sequence.

write equivalent expression without negative exponents of 9^-2

Answers

An equivalent expression without negative exponents of 9^-2 is 1/9²

In this question, we have been given an expression 9^-2

We need to write equivalent expression without negative exponents of 9^-2.

We know that for any number x, the multiplicative inverse of x is represented as x^-1 which is equal to 1/x

We can write 9^-2 as,

9^-2

= 9^(2 × -1)

= (9²)^-1

= 1/9²

Therefore, an equivalent expression without negative exponents of 9^-2 is 1/9²

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A jug of juice has 8 cups of pineapple juice and 3 cups of orange juice. Write the ratio of number of cups of pineapple juice to total number of cups of juice in three different ways.

Answers

Answer:

8 : 3, 8/3, and "8 to 3"

. determine whether each of the following statement is true or false: a) x ∈ {x} b) {x} ⊆{x} c) {x} ∈{x} d) {x} ∈ {{x}}

Answers

(a) True, x is an element of the set {x}

(b) True, the set {x} is a subset of itself.

(c) False, x is an element of {x}, but the set {x} is not an element of {x}.

(d) True, the set {x} is an element of the set {{x}}.

What do you mean by the element of the set?

The numbers 1, 2, 3, and 4 are the elements of set A, as indicated by the formula A=1,2,3,4. Subsets of A are collections of components from A, like 1, and 2. Sets may also function as elements.

Consider the set B=1,2,3,4 as an example. B's constituent parts are not 1, 2, 3, or 4. Instead, there are just three components of B: the numbers 1 and 2, as well as the set "3, 4."

A set's components can be anything. For instance, the set "C=red, blue, green" contains the colors red, green, and blue as its constituents.

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A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while.

How many gallons are left in the tank when the car has traveled the following distances on the highway?

90 miles

Answers

Answer:

13 gallons

Set It Up

If the car is able to travel 30 miles per gallon and has a 16-gallon fuel tank, its total fuel efficiency is found by evaluating the product of the two factors.

Therefore, we can multiply 30 by 16 and find the total mileage that the car is equipped to travel:

[tex]30\times16=480[/tex]

Solve

Now, assuming that the car has a full tank of gas, it travels 90 miles on the highway. We can find out the remaining fuel efficiency by subtracting 90 miles from the maximum fuel efficiency:

[tex]480-90=390[/tex]

Then, since the car can travel 30 miles per gallon, divide this fuel efficiency by 30 miles to find the remaining gallons in the tank:

[tex]\displaystyle \frac{390}{30} = 13[/tex]

Final Answer

[tex]\boxed{\bold{13 \ gallons}}[/tex]

helppppppppppppppppppppp

Answers

here's your answer check if it's right or not

the table shows statistics for a basketball player. use rates to compare the player's performance between the two seasons

Answers

Using proportions, it is found that the height of the object is of 12 m, hence you can use a ladder that reaches height of up to 13 m to climb the object.

What is a proportion?

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For similar triangles, equivalent side lengths are proportional, hence, in this problem, we have that:

h/1.5 = 8.8/1.1

h/1.5 = 8

h = 8 x 1.5

h = 12m.

The height of the object is of 12 m, hence you can use a ladder that reaches height of up to 13 m to climb the object.

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What is the slope of the line that passes through the points (6, -5)(6,−5) and (6, -4)(6,−4)? Write your answer in simplest form.

Answers

When graphed, one point is on top of the other, creating a vertical line. This could either be or -∞ .

What is the value of the expression below after it has been simplified completely?

-3 1/2 - 4.75

Answers

Answer:

1.25

Step-by-step explanation:

which functions are even? check all of the boxes that apply. f (x) = x superscript 4 baseline minus x squared f (x) = x squared minus 3 x + 2 f (x) =

Answers

Function (D) f(x) = |x| is even.

What are functions?A function is an expression, rule, or law in mathematics that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

To find which functions are even:

We are aware that a function is even when f(x) = f(-x).

(A)

[tex]$$\begin{aligned}&\text f(x)=x^{4-x^2} \\&f(-x)=(-x)^{4-x^2} \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(B)

[tex]$$\begin{aligned}& f(x)=x^2-3 x+2 \\&f(-x)=x^2+3 x+2 \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(C)

[tex]$$\begin{aligned}&\text f(x)=\sqrt{x-2} \\&f(-x)=\sqrt{-x-2} \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(D)

[tex]f(x)=|x|\\f(-x)=|-x|=|x|=f(x)[/tex]

So, the function is even.

Therefore, function (D) f(x) = |x| is even.

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The complete question is given below:

Which functions are even? Check all of the boxes that apply.

a. F (x) = x Superscript 4 Baseline minus x squared

b. f (x) = x squared minus 3 x + 2

c. f (x) = StartRoot (x minus 2) EndRoot

d. f(x) = |x|

landon elliot fumigates rooms and charges $21.95 per room. on monday, he fumigated 3 rooms in one house, 2 in another, and 4 in a third.

Answers

The total charge for the rooms will be $197.55.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

The charge for one room = $21.95

Total number of rooms = 3+2+4=9 rooms

Total charges for the room= Charge for one room × total number of room

Substitute the values:-

The total charge for the room = 21.95 × 9 = 197.55

Hence, the total charge for the room is 197.55

The complete question is given below:-

Landon Elliot fumigates rooms and charges $21.95 per room. on Monday, he fumigated 3 rooms in one house, 2 in another, and 4 in a third. find his total charges.

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Help pls. Fill in the blanks that are circled. I'll mark as brainlist!!

Answers

Answer:

Ariel’s:
6 divided by 10 = 0.6
0.6 divided by 2 = 0.3

Emma’s:
6 x 3 = 18
3 x 3 = 9

Hope this helps

Answer:

Top boxes are 18 and bottom boxes are 9

Step-by-step explanation:

Left side

Frist answer

2x3 =6, so 6 x3 = 18.  18 Goes into the top box on the left.

2 x [tex]\frac{3}{2}[/tex] = 3, so 6 x[tex]\frac{3}{2}[/tex] = 9  9 goes in the bottom box on the left.

Top right: 6 x 3 = 18.  18 goes in the top right

bottom right 3x3 = 9  9 Goes in the bottom right.

Please help!!! I really need this!!! It's piecewise functions......

Answers

well, let's take a peek at the graph, hmmm it has a straight line from the origin to (5,10), and then another straight line from (5,10) to (10,5) and then another one from there up to (20,5).

well, let's simply get the equations for each of those lines then

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{0})\implies \boxed{y = 2x} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}} \implies \cfrac{ -5 }{ 5 }\implies -1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-1}(x-\stackrel{x_1}{5}) \\\\\\ y-10=-x+5\implies \boxed{y=-x+15} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{20}-\underset{x_1}{10}}} \implies \cfrac{ 0 }{ 10 }\implies 0 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{0}(x-\stackrel{x_1}{10})\implies y-5=0\implies \boxed{y=5}[/tex]

so then hmmm let's use those, we know how f(x) is moving now, so

[tex]\stackrel{y}{f(x)}= \begin{cases} 2x&x\geqslant 0\\\\ -x+15&x\leqslant 10\\\\ 5&x\leqslant 20 \end{cases}[/tex]

K What is 0.288 rounded to the neare hundredth? 0.288 20​

Answers

Answer: 0.29

Step-by-step explanation:

= 0.288

8>5

= 0.29

Can Someone help me?

Answers

Step-by-step explanation:

first- b

swcond- a

third- c


Lori ran 5 ½ miles Monday, 6 %4 miles Tuesday, 4½ miles Wednesday, and 234 miles on
Thursday. What is the average number of miles Lori ran? Write your answer as an improper
fraction.

Answers

19 miles the average number of miles Lori ran.

Miles Lori ran on Monday = 5 ½ = 11/2

Miles Lori ran on Tuesday = 6 ¼  = 25/4

Miles Lori ran on Wednesday = 4½ = 9/2

Miles Lori ran on Thursday = 2¾ = 11/4

Total miles she ran = sum of 4 days runs

= 11/2 + 25/4 + 9/2 + 11/4

= 22/4 + 25/4  + 18/4 + 11/4

= [tex]\frac{22 +25+18+11}{4}[/tex]

= 76/4 miles or 19 miles

How to calculate average number?

By combining a set of integers and then dividing by their count, the average number—also known as the arithmetic mean—is created. For instance, the sum of 2, 3, 3, 5, 7, and 10 is equal to 30 divided by 6, which equals 5.

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6. Thirty-five more than .8 times a number is the
same as 43 less than the
product of -7 and the
number.

Answers

The value of the given number is -10.

Here, we are given that Thirty-five more than 0.8 times a number is the same as 43 less than the product of -7 and the number.

Let the number be x

0.8 times x = 0.8

35 more than 0.8x = 35 + 0.8x

Thus, our left hand side of the equation is 35 + 0.8x

Now, the product of -7 and x = -7x

43 less than -7x = -7x - 43

Thus, we get the following equation-

35 + 0.8x = -7x - 43

we can solve this equation to find the value of x-

0.8x + 7x = -43 - 35

7.8x = -78

x = -78/ 7.8

x = -1/ 0.1

x = -10

Thus, the value of the given number is -10.

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8. You are skiing down a 1,350 meter ski slope at 60 meters per second. Let t
represent your skiing time in seconds and d(t) represent the distance from the
bottom of the ski slope.

Answers

The time taken to reach the bottom when the person skies down will be 22.5 seconds.

How to calculate the value?

It should be noted that the person is skiing down a 1,350 meter ski slope at 60 meters per second.

There, t represent your skiing time in seconds.

The appropriate expression to illustrate the scenario will be:

1350 - 60t = 0

Therefore, 60t = 1350

t = 1350/60

t = 22.5

The time taken to each the bottom will be 22.5 seconds.

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Can that be simplified???

Answers

No, it can’t becuase it is a function and the 5 is outside the square root

Find the value of x when 6-2x=5x-9x+12 .

Answers

Answer:

x=3

Step-by-step explanation:

X=3 is going to be your correct answer for this question. Have a great day my dude

Simplify each part of the expression using the laws of exponents.2^7/2^5+(4^5)^0+3^-1
What laws or properties did you use to simplify each part? What is the value of the expression?

Answers

Answer:

5.333333333333

Step-by-step explanation:

1. 2^7 &2^7 have the vase, by subtracting their power, the result is 4.

2. (4^5)^0=1

3. 3^-1=0.3333333

4 finally by adding each values in above steps

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