5x – 24 > 26
what is the solution to the inequality?

Answers

Answer 1

Answer:

x > 10

Step-by-step explanation:

5x - 24 > 26

Add 24 on both sides.

5x -24 + 24 > 26 + 24

5x > 50

Divide by 5 on both sides.

x > 50 ÷ 5

Find x.

x > 10


Related Questions

Find the distance between a and b

Answers

Answer:I believe it is 2.4

Step-by-step explanation:

The class can contain at most 28 students.

Answers

Answer:

s < 28

Step-by-step explanation:

“How mathematics is involved in Merchandising?”

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Answer:

You have to have the number of items you paid for and know what numbers you're calculated at checkout.

Which equation represents a proportional relationship?

Answers

Answer:

y = 3x

Step-by-step explanation:

A proportional relationship should be represented by an equation in this format:

y = kx

A virus takes 13 days to double its original population (A=2A_0). How long will it take to triple its population? Round to the nearest tenth.

Answers

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

What is the formula of exponential growth?

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

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Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon

Answers

Answer:

40

Step-by-step explanation:

The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,

So, the equation =

n = 5÷1/8

n = 40

Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

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Which situation has a net result of zero?
The temperature was -9'F and fell 9°F.
Janet had $4 and gave $3 to her friend.
High tide was 5.5 ft and now low tide is -0.5 ft.
The hot-air balloon rose 539 feet. It then lost 539 feet of altitude.

Answers

Answer:

D. The hot-air balloon... results in a net of zero

Step-by-step explanation:

Thanks for the points my guy :)

have a great day

Answer:

canberry

Step-by-step explanation:

At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?

Answers

15%

Explaination according to zehtmnt who also answered this question by another person:

You have to do a proportion

12. = x

80 100 and u have to cross multiply

80x = 1200

80. 80

Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)

Answers

Answer:

Veronica will have $310.04 at the end of first five years.

Step-by-step explanation:

Principal Amount P = $230

Interest Rate r = 6%

Time t = 5 years

Compounded monthly n = 12

We need to find the future amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]

So, Veronica will have $310.04 at the end of first five years.

Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?

Answers

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with

[tex]-\dfrac{a_2}{a_1}[/tex]

which will make coefficient of x in first equation as

[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?

A$588

B$480

C$546

D$1008

Answers

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

2= f/8 f= solve the equation

Answers

2= f/8
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f

Is TA congruent to GO? Proof?

Answers

no AAA is not a congruency property

Answer:

Yeah

Step-by-step explanation:

50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139

Answers

The answer is 503.39

Hope this helps

Solve the distance, rate, time problem using a system of two linear equations in two variables.

A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.

Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.

Answers

Answer:

960 would be correct becasue it says it in the problem.

Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.​

Answers

Answer: I need to see the graph

Step-by-step explanation:

Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i​

Answers

Answer:this did not work for me

Step-by-step explanation:

A small garden has an area of 25 square yards. How long is each side of the garden? *

Answers

Answer:

5

Step-by-step explanation:

What is the measure of angle c? Pls hurry

Answers

Answer:

I think the answer is 43

Step-by-step explanation:

Because b=83

The total value of triangle angles =180

So 54+83=137

180-137=43

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.

A -2

B 0

C 5

D 8

E 10

Answers

Answer:

8

Step-by-step explanation:

300 - 140 = 160 so 160 divided by 20 is 8

Answer:

8, 0, 10

Step-by-step explanation:

Evaluate the following expression. 7 1/4 x 2^2 +(8 1/2 -2) ÷ 3

Answers

Answer:

31.1666666667

Step-by-step explanation:

Caculator

the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class

Answers

Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

Answer:

25

Step-by-step explanation:

3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)

15+10=25 total boys and girls

I can write linear equations

1. Through: (-1,3), Slope=2

2.Through: (3,3), slope= -2

Answers

1. Y=2x+5

2. Y= -2x-3

At 3 P.M., the temperature was 9 degrees fahrenheit. By 11 P.M., it had
dropped 31 degrees fahrenheit. What was the temperature at 11 P.M.?*

Answers

Answer: -22 degrees

Step-by-step explanation:

Rewrite the formula to solve for the positive value of r in terms of h and v.

Answers

Answer:

[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

Step-by-step explanation:

The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r is radius of cone and h is its height

We need to solve the above formula for r.

Cross multiplying both sides of the given formula

[tex]3V=\pi r^ 2h[/tex]

Dividing both sides by πh.

[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]

What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x+y=2?

Answers

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

[tex]y=\frac{1}{6}x-3[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the  slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 1/6 and the point (6, -2)

[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]

[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]

[tex]y=\frac{1}{6}x-3[/tex]

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

[tex]y=\frac{1}{6}x-3[/tex]

Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?

Answers

10,091 because it's a 10 season football season and he spends 9 dollars every game

Step-by-step explanation:

ez

The opportunity cost of playing football for Graham is $1,190.

What is the Opportunity cost?

The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.

Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.

Therefore, the opportunity cost of playing football for Graham is,

Opportunity cost

= Amount that Graham would have made in a part-time job +  Total cost of playing football season

= $1,100 + (Number of games × Amount spend in a single game)

= $1,100 + (10×$9)

= $1,100 + $90

= $1,190

Hence, the opportunity cost of playing football for Graham is $1,190.

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What is -3(2a + 5b - 4y - 2)?

Answers

Answer: -6a-15b+12y+6

Step-by-step explanation:

LOOK A PICTURE HURRY PLS LIKE RIGHT NOW

Answers

Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago

Step-by-step explanation:

Solve For y:
-1/2=3/8y
y=

Answers

Answer:

y = -4/3

Step-by-step explanation:

multiply each side with a reciprocal of 3/8 which is 8/3.

8/3 * -1/2 = -4/3

Answer:

-4/3

Step-by-step explanation:

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