Mathematics Middle School

Which number is a solution of the inequality 7x-5>-2? ( by the way that sign is supposed to be a less than or equal to)
A.-3
B.-1
C.0
D.1

Answers

Answer 1

Final answer:

The correct answer to the inequality 7x - 5 ≥ -2 is D. 1, since 1 is greater than 3/7 and thus satisfies the inequality.

Explanation:

To solve the inequality 7x - 5 ≥ -2, we need to isolate x. Follow these steps:

Add 5 to both sides of the inequality to cancel out the -5 on the left: 7x ≥ 3.

Divide both sides by 7 to solve for x: x ≥ 3/7.

Now we need to determine which of the provided options is a solution to the inequality. We have:

A. -3 (which is less than 3/7)

B. -1 (which is also less than 3/7)

C. 0 (which is again, less than 3/7)

D. 1 (which is greater than 3/7, making it a solution to the inequality)

The correct answer is D. 1 because it satisfies the given inequality.

Related Questions

Students are planning a 3 day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.28 of the total distance the first day. If they split the remaining distance equally between the second and third days how far will they hike on day three?

Answers

The students will hike 9.11 KM on day three.

Answer:

They hike 9.11 km on day three

Step-by-step explanation:

Total distance traveled on a 3 day hiking trip in the mountains = 18.5 km

The students hike 0.28 of the total distance the first day.

So, Remaining distance = 18.5 - 0.28 = 18.22

Now we are given that they split the remaining distance equally between the second and third days

So, Distance traveled by them on third = Distance traveled by them on second day = Half of the remaining distance = [tex]\frac{18.22}{2} = 9.11[/tex]

So, they hike 9.11 km on day three

A snow storm dumped 18 7/10 inches of snow in a 12 hour period. How many inches were falling per hour

Answers

All you have to do for this is take your inches (18 7/10 or 18.7) and divide it by the number of hours (12) which makes 1.56in per hour.
make 18 7/10 into a improper fraction and multiply that by 12.
Hope this helped.

1.      Complete the paragraph proof

Given:  ∠A and ∠B are complementary, and ∠B and ∠C are complementary

Prove:  ∠A ≌ ∠C

By definition of complementary angles, m∠A + _____ = 90° and m∠B + m∠C+ _______.
Then, m∠A + m∠B = m∠B + m∠C by the _____________________________. Subtract
m∠B from each side. You get ________= m∠C or _________ ≅ ∠C

Answers

Given that ∠A and ∠B are complementary, and ∠B and ∠C are complementary We prove that ∠A ≌ ∠C:By definition of complementary angles, m∠A + m∠B = 90° and m∠B + m∠C = 90°.

Then, m∠A + m∠B = m∠B + m∠C by the substitution property of equality.

Subtract m∠B from each side. You get m∠A = m∠C or ∠A ≅ ∠C

Sam wants to find the best buy on cans of tuna. He reads these four ads in the newspaper. Place the ads in order from best to worst buy. [A better buy is one with a lower cost per unit.] ITEMBANK: Move to Bottom $12.53 for seven cans$5.97 for three cans$7.95 for five cans$8.34 for six cans Best 2nd Best 3rd Best Worst

Answers


Best to worst;

8.34/6 = $1.39

7.95/5 = $1.59

12.53/7 = $1.79

5.97/3 = $1.99

Answer: 5.97 for three cans >  $12.53 for seven cans > $7.95 for five cans > $8.34 for six cans

Step-by-step explanation:

Since, $12.53 for seven cans

The cost of one can = [tex]\frac{12.53}{7} = 1.79[/tex]

$5.97 for three cans

The cost of one can = [tex]\frac{5.97}{3} = 1.99[/tex]

s$7.95 for five cans

The cost of one can = [tex]\frac{7.95}{5} = 1.59[/tex]

$8.34 for six cans

The cost of one can =  [tex]\frac{8.34}{6} = 1.39[/tex]

Since, 1.99 > 1.79 > 1.59 > 1.39

Therefore, the required order of prices,

5.97 for three cans >  $12.53 for seven cans > $7.95 for five cans > $8.34 for six cans

if G varies inversely as r, and G = 18 when r= 4, find G when r= 6

Answers

The model to use here is   y = k/x.

If g =18 when r = 4, then 18 = k/4.  Solving for k, k = 72.

Then g = 72/r.  If r = 6, g = 72/6 = 12 (answer)

How do you write the equation?

Answers

The number of hours she practices each day is unknown, so let's call it x.

She practices dancing x hours each day she goes to practice.
Since she practices 3 days per week, in a week she practices 3x hours.
In two weeks she practices 2(3x) hours, or 6x hours.

We are told she practices 12 hours in 2 weeks, so 6x must equal 12.

The equation is

6x = 12

We can solve it by dividing both sides by 6.

x = 2

She practices 2 hours per day.

Check:
2 hours per for 3 days = 2 * 3 hours = 6 hours in 1 week.
In 2 weeks, she practices 2 * 6 hours = 12 hours.
Our solution is correct.

can someone help me with #3? please post a picture showing how you got the answer.

Answers

1 9/10 is next to 1 1/2

x+5*3 divided by 4-2=7

Answers

Answer:7 - 2 -. 8. +. 7 21. 1 8. 8 7. C. 4. 56 21. 8 8. ASSET 1. 3 7. 3 ... multiply and solve for x. Divide both sides by 2.5. 23). = = X.

Step-by-step explanation:

The perimeter of this Hexagon is 162 cm. Each longer side measures 1 cm more than twice a shorter side. Find the length of the labled x.

Answers

The length of the shorter side [tex]\( x \)[/tex] is 20 cm.

The length of each shorter side labelled [tex]\( x \)[/tex] in the hexagon is 20 cm. Here's the step-wise calculation:

1. Let [tex]\( x \)[/tex] represent the length of the shorter side.

2. The length of each longer side is given as [tex]\( 1 \)[/tex] cm more than twice a shorter side, so it is [tex]\( 2x + 1 \)[/tex] cm.

3. The perimeter of the hexagon is the sum of the lengths of all its sides, which is given as [tex]\( 162 \)[/tex] cm.

4. Since the hexagon has four shorter sides and two longer sides, the perimeter [tex]\( P \)[/tex] can be expressed as:

  [tex]\[ P = 4x + 2(2x + 1) \][/tex]

5. Plugging in the given perimeter value and simplifying the equation:

  [tex]\[ 162 = 4x + 4x + 2 \][/tex]

  [tex]\[ 162 = 8x + 2 \][/tex]

6. Solving for [tex]\( x \)[/tex] gives:

  [tex]\[ 160 = 8x \][/tex]

  [tex]\[ x = \frac{160}{8} \][/tex]

  [tex]\[ x = 20 \][/tex]

Therefore, the length of the shorter side [tex]\( x \)[/tex] is 20 cm.

11/3 this is equivalent to
3.6

3.6-

3.67

3.666

Answers

3.666 since 3/11 is equivalent to dividing 3 by 11
Hello there!

To find the decimal of a fraction, all you need to do is take the number on top then divide it by the number at the bottom.

Or you can say: Take the numerator divide it by the denominator.

So;
11/3 is equal to 3.666667

In this case, the answer is option C. 3.67

I hope this helps!

Three boxes are stacked one on top of the other. One box is 3 feet 7 inches tall, one is 3 feet 10 inches tall, and one is 4 feet 9 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

21 ft. 7 in. that is the answer because you add it up then divide the in

please may you help me or I will get detention

Answers

The range is the highest number minus the lowest number. In this case, the highest number is 10 and the lowest number is 6, so the range is 10-6=4

To find the students in the group, simply add up the frequency from each mark. I'll give you an example solution, but I challenge you to do this on your own!

For example, say that there are 4 students with 3 marks and 6 students with 4 marks. There are then 4+6=10 total students in the group

To find the mean, simply add up all up the marks with the amount of frequencies and divide it by the amount of students.

Take our example from earlier - we can write it as a list. Since there are 4 students with 3 marks, we have
3, 3, 3, 3 ( 3 four times)
Since there are 6 students with 4 marks, we have
4, 4, 4, 4, 4, 4 (4 six times)

Add them all up, and divide them by the total amount of students (10) to get 
(3+3+3+3+4+4+4+4+4+4)/10=(3*4+4*6)/10=36/10=3.6

Good luck, and feel free to ask questions if you're confused!

Answer:

a) 4

b) 40 students

c) 8

Step-by-step explanation:

10-6=4, so a=4

6+ 7+8+ 9+10= 40

6+7+8+9+10=40; 40/5 =8

Plz mark me brainliest

Six months after a divorce, the former wife and husband each take a test that measures divorce adjustment. The wife’s score is 63, and the husband’s score is 59. Overall, the mean score for divorced women on this test is 60 (SD = 6); the mean score for divorced men is 55 (SD = 4). Which of the two has adjusted better to the divorce in relation to other divorced people of their own gender? Explain your answer to a person who has never had a course in statistics

Answers

Note that
(63 – 60)/6 = 1/2
(59 – 55)/4 = 1
So, in relation to other divorced women, the score of 63 is only 1/2 SD above the average. But in relation to other divorced men, the score of 59 is 1 SD above the average. That means the husband has adjusted better to the divorce in the relation to other divorced people of his gender.

What is the value of the expression-2.1(4.7+(-7.4)

Answers

-2.1(4.7+(-7.4))
-2.1(-2.7)

Your answer is...
5.67
The answer is 5.67.

How to convert 18 gallons/1 hour to cups and minutes

Answers

so there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other. 

(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups

(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)

this comes out 4.8 cups/1 minute

what are the answers

Answers

11. 10x+10
13. 14x-14
15. 26x-50
11. 10x+10
13. 14x-14
15. -22x-50

14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.

Answers

I think is 0.6666........and so on
It is 5 because 14 and 21 are both divisable by 7

sid is $300 in debt. he needs to get the debt down to no more than $100 within the next 8 months. if he pays the same amount each month, what is the minimum he must pay off each month to manage this?

Answers

$25 is the minimum he can pay each month to get to $100
  300
- 100
--------
  200 / 8 = $25

Graph y= 12x–3 .
Where would I put the points ?

Answers

We need to graph y = 1/2x - 3.
y = 1/2x - 3 is from the general form of a linear function y = ax + b, in which a represents the slope, b the y-intercept, and x and y the coordinates of 2 points.
Since it's a linear function, the graphical representation of that equation is a straight line.

To graph that function, we need at least 2 points from that line. And we'll find their coordinates using the equation.

1- For x = 0, y = -3 (Since the y-intercept is b = -3).
2- For x = 2. y = 1/2x - 3 = 1/2*2 - 3 = -2

So we now have the 2 points A (0, -3) and B (2, -2).Place those points on the graph, and reunite them with a line and you'll get your graphical representation of the linear function y = 1/2x - 3 (You can see the graphical representation in the image alongside my answer).

Hope this helps! :)

Answer:

Look at my picture, it will show you where to plot the points, and you can also see the green checkmark above which verifies that this answer is correct. Hope this helps!

Step-by-step explanation:

This answer is in the picture. Also, it is not y = 12=-3, it's y = 1/2x-3

The person who asked this question copy pasted and the computer didn't put the symbol with the fraction.

Anyways, this is the correct answer for the problem, so make sure you look at the picture, and I hope I helped you! :)

Good luck on whatever you are doing. ;)

Mr. Jones bought a block of fudge that weighed 1/4 of a pound. He divided the fudge into 2 equal pieces. What was the weight of each piece of fudge? *

Answers

You would do 1/4 x 1/2 to get 1/8 of a pound.

Which expression is NOT equivalent to 8 ∙ x ∙ 2 ∙ y?

1. 8x + 2y

2. 16yx

3. 16xy

Answers

8 * x  * 2 * y = 16xy
Wrong answer is option 1
The answer is:  "Answer choice: 1):  "8x + 2y".
__________________________________________
   Note:  " 8 * x * 2 * y = 16xy ".  

So, choice 3):   "16xy is correct". 

Choice 2):  "16yx" is also correct, since:  "16xy = 16yx".

Choice 1)": is incorrect, so this is the incorrect answer.

to  be sure.  let's plug in a values, "3" for "x" ; and "4" for "y"; 
______________________________
Choice 1) " 8x + 2y"  ;    8(3) + 2(4) = 24 +8 = 32 .

Now, try:  "16xy".  16(3)(5) = 48(5) = 240.   

Note that:  "32≠40" .
____________________________________
So, Choice 1):   "8x + 2y" ;  is the correct answer.
______________________________________

(02.06)Ralph needs 6 cups of milk to make a chocolate shake for his family. His measuring device measures liquids by the pint. If 1 pint is equal to 2 cups, how many pints should Ralph measure?

3 pints
4 pints
8 pints
12 pints

Answers

3 pints will be your answer.
if 1 pint=2 cups and you need to get 6 cups of milk, you need to see which of your answers will equal 6 when timed by 2.
12x2=24. Wrong
8x2=16. Wrong
4x2=8 Wrong
3x2=6. Correct!

1 pint = 2 cups

 so 6 cups / 2 cups = 3 pints

Did i choose the correct answer?

Answers

The correct answer is 
A) MN
You are correct. If you drew the triangles upright on a piece of paper you would be able to see you are correct

form an equation and solve it to find the dimensions of the rectangle
(perimeter 48cm)
(height 2x-2)
(width 5x+4)

Answers

To find x, use the equation 2l+2w

In this case, your equation would look like

2(2x-2)+2(5x+4)= 48 cm

Hope this helps!

write each equation in standard form using integers. y=2x+5

Answers

standard form : Ax + By = C

y = 2x + 5....subtract 2x from both sides
-2x + y = 5...multiply by -1 to make x positive
2x - y = -5 <=== standard form

To write the equation y=2x+5 in standard form with integers, subtract 2x from both sides to get -2x + y = 5. Then, multiply by -1 to make the coefficient of x positive, resulting in 2x - y = -5.

To write the equation y=2x+5 in standard form using integers, we start by moving the terms involving x and y to one side of the equation and the constant term to the other side. The standard form of a line in two dimensions is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

The given equation is already pretty close, so we subtract 2x from both sides to obtain:

-2x + y = 5

Now, we want A to be non-negative. If A is negative, we can multiply the entire equation by -1 to make A positive.

So, the equation -2x + y = 5 becomes 2x - y = -5 when multiplied by -1. This is now in standard form, with all coefficients being integers.

I need to know number 35 I don’t know how to do this promblem

Answers

Hello! Expanded form is when you write an addition problem by place value in order to get the sum for the answer. For example, expanded form of 123 is 100 + 20 + 3. In this case, 92.3 is out number we are going to expand in addition form. 92.3 in expanded form is 90 + 2 + 0.3. This is because 9 in the tens place has a value of 90, the 2 in the ones place has a value of 2, and the value of 3 in the tenths place has a value of 0.3.

A company needs to take 330 sample sensor readings. If the sensor collects data at 5 1 2 samples per second, how long will it take the company to take all 330 samples?

Answers

Note: this answer was made with the assumption that you meant 5 1 2 as 5 1/2 / 5.5, though you may correct me if that is the wrong interpretation.

It will only take the company about 60 seconds, or a minute to take all 330 samples, for 330/5.5 = 60.

Answer:

hmmm...

Step-by-step explanation:

math question down below

Answers

for the first drain the equation you need would be: 2n = 108

for drain B your equation would be: 5n = 108

these are your equations because a number times the amount of water the drain drains per minute will equal 108

to solve use inverse operations and divide 108 by the amount of water the drain drains in one minutes 

Drain A- 108/2 = 54
it takes 54 minutes for drain a to empty a pool with 108 gallons of water

Drain B- 108/5 = 21.6
it takes 21.6 minutes for drain b to empty a pool with 108 gallons of water in it

What is 42% in simplest form?plz show me how to do it

Answers

Hey there!

42%= 42/100 


42/100=2/2×21/50


So 21/50 is the simplest form of 42%

a concrete stepping-stone measures 20 square inches. What is the area of 30 such stones?

Answers

1 stone is 20 square inches

 multiply that by 30 for total

20 *30 = 600 square inches total

Other Questions
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