Mathematics Middle School

Which of the following is the solution set of x < 5?

A) x = {5, 4, 3, 2, 1, ... }
B) x = {5, 6, 7, 8, 9, ... }
C) x = {4, 3, 2, 1, ... }
D) x = {3, 4, 5, 6, 7, ... }

with solution pls, show the solution how did you get the answer​

Answers

Answer 1

The best answer from the options provided is C, because "x<5" means all the numbers less than 5 and answer C only has integers that are less than 5.

Now C isn't a perfect answer, because C leaves out all the other fractions and decimals like 4.3 and 3/4 that are also less than 5, but aren't in answer C.

But given your choices, A, B, and D are not the answer, since they all have a number included that's greater than OR equal to 5.

Answer 2
The correct answer is B) x = {5, 6, 7, 8, 9, ... }.

To see why, let's break down the inequality x < 5. This inequality means that x can be any number that is less than 5, but not including 5 itself. In other words, x can be any number in the open interval (-∞, 5).

The solution set for this inequality is any set of numbers that satisfies this condition. The set of numbers in option B) {5, 6, 7, 8, 9, ... } is the only set that satisfies this condition, since all of these numbers are less than 5.

Option A) {5, 4, 3, 2, 1, ... } includes 5, which is not a solution to the inequality x < 5.

Option C) {4, 3, 2, 1, ... } does not include any numbers greater than or equal to 5, so it does not satisfy the inequality x < 5.

Option D) {3, 4, 5, 6, 7, ... } includes 5, which is not a solution to the inequality x < 5.

Related Questions

What is the equation for the line of reflection? On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1). x = 6 y = 6 y = x y = 2 Mark this and return

Answers

The equation of the line of reflection should be .

Given information:

Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).

A'B'C' is the reflection of the triangle ABC.

It is required to find the equation of the line of reflection.

Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).

Therefore, the equation of the line of reflection should be .

To find the equation for the line of reflection, we need to find the midpoint between each point and its corresponding point in the reflected image. Then, we can find the equation of the line that passes through each pair of midpoints.

The midpoint between (2, 2) and (10, 2) is ((2 + 10) / 2, (2 + 2) / 2), which simplifies to (6, 2). The midpoint between (7, 3) and (5, 3) is ((7 + 5) / 2, (3 + 3) / 2), which simplifies to (6, 3). The midpoint between (5, 1) and (7, 1) is ((5 + 7) / 2, (1 + 1) / 2), which simplifies to (6, 1). Finally, the midpoint between (4, 1) and (8, 1) is ((4 + 8) / 2, (1 + 1) / 2), which simplifies to (6, 1).

The line of reflection is the line that passes through each pair of midpoints. Since all four midpoints have the same x-coordinate of 6, the line of reflection is a vertical line passing through x = 6.

Therefore, the equation for the line of reflection is:

x = 6

Help please I don’t know this

Answers

×Answer: 400

Step-by-step explanation: [tex]20×20=400[/tex]

It is 400





Because 20x20=400

Rebecca is cutting three different board length for a building project. the original boards measure 16 feet in length. How many pieces will Rebecca be able to cut in the various lengths below?

Building project.
2 1/2 feet long - garden fence
1 1/2 feet long - fireplace
2/3 feet long - window frame

Answers

Answer:

Step-by-step explanation:

i think its 2/3

Which situation is best represented by the following equation

68.50x + 127.95 = 675.95

Answers

Answer: Option B

Step-by-step explanation:

Considering Option A

we can infer that the office manager paid a total of $675.95

the cost of the software package is $68.50

while an employee is paid $127.95 every hour she works on the website

So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95

Coming to Option B

we can infer that the office manager paid a total of $675.95

the cost of one monitor is $127.95  

while the hard drives are for $68.50 each

So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95

Hence Option B is the correct answer

To learn more about Equations,

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Jim bought 5 packs of red bouncy balls, 2 packs of yellow bouncy balls, and 7 packs of green bouncy balls. There were 7 bouncy balls in each package. How many bouncy balls did Jim buy in all?

Answers

Answer:

108 bouncy balls

Step-by-step explanation:

2*7=14

5*7=35

7*7=49

14+35+49+108

He bout 98 bouncy balls

Can you please help with this? Thanks!


A
∠A and
∠
B
∠B are supplementary angles. If
m
∠
A
=
(
x
+
4
)
∘
m∠A=(x+4)
∘
and
m
∠
B
=
(
2
x
−
7
)
∘
m∠B=(2x−7)
∘
, then find the measure of
∠
A
∠A.

Answers

Answer:

Step-by-step explanation:

so its 23 cause .

supplementary means that the two angles must add up to 180 degrees.

that means we should set up the equation like this:

(x+4)+(2x-7)=180

solve by adding like terms

3x-3=180

add

3x=183

divide

x=61

we can check this answer by plugging the number back in.

(61+4)+(2(61)-7)=180

(65)+(115)=180

therefore angle A would equal 65 degrees.

PLEASE IS MATH 8 th GRADE

Answers

Answer:
270

Explanation:
The formula to find the lateral surface area of a triangular prism is (a+b+c)h.

First plug in the numbers:

(6+6+6)15

Simplify:

(18)15

Simplify:

270

Hope this helps!
The answer is 270 because formula explains

please help quickly! thank u so much god bless

Answers

A C D E

Just count the units from wherever it stays to.

Answer:

A

D

C

E

Step-by-step explanation:

If you have any questions please ask me! :)

Mr. Walker brought 100 cookies for two classes at school one class had 28 students, and the other had 27 students plus their two teachers. he also left 10 for the office staff and 5 for the custodians. How many cookies did he have leftover?

Answers

Answer:

Mr. Walker gave out a total of 28 + 27 + 2 = 57 cookies to the two classes and left 10 + 5 = 15 cookies for the office staff and custodians.

Therefore, the number of cookies left over is:

100 - 57 - 15 = 28 cookies

Mr. Walker had 28 cookies left over.

Step-by-step explanation:

Answer: 28 cookies

Step-by-step explanation:

We have to add up the number of cookies distributed and subtract it from the total amount of cookies he brought in order to find out how many cookies he has left over.

----------------------------------------------------------------------------------------------------------

First class

For the first class with 28 students, Mr. Walker distributed 28 cookies.

----------------------------------------------------------------------------------------------------------

Second Class

There are 29 people in the second class, which has 27 students and 2 teachers.

Mr. Walker then gave out 29 cookies.

----------------------------------------------------------------------------------------------------------

Office Staff and Custodians

Mr. Walker left 10 for the office staff, 5 for the custodians, which is a total of 10 + 5 = 15.

So, Mr. Walker distributed 15 cookies.

----------------------------------------------------------------------------------------------------------

Finding the answer

We add up the number of cookies distributed to figure out how many cookies he had leftover:  

28 + 29 + 15 = 72.

This gets subtracted from the total number of cookies brought by him:

100 - 72 = 28.

----------------------------------------------------------------------------------------------------------

Answer

Therefore, after giving cookies to the two classes, the office staff, and the custodians, Mr. Walker had 28 cookies left over.

Which measure of central tendency BEST represents the data shown in the distribution?

A.) median
B.) all three
C.) mean
D.) mode

Answers

Answer:

D.) Mode

Step-by-step explanation:

It best represents the data as it has the highest value in the distribution. All other measures of central tendency have lower values in the data.

Sorry if Im wrong

Answer:D.) modeStep-by-step explanation:what's a mode?Mode: The most common number, or the number that appears the most frequently.

Please help me ASAP!!♡ tysm♡ <3

Answers

Answer:

∡4 = 146°

Step-by-step explanation:

First, we need to find the value of ∡2, and keep in mind that the sum of all the angles in a triangle is = 180°.

Since the triangle is a right angle, we know that the angle to the bottom right = 90°. The other angle is 56°.

Since there are only 3 angles, let's add 56° and 90° to find ∡2.

56 + 90 = 146

180 - 146 = 34°

∡2 = 34°.

Now that we've found ∡2, we need to find out what type of angles ∡4 and ∡2 are.

They are supplementary angles, since they add up to 180°.

Let's subtract 180 - 34 to give us the value of ∡4

180 - 34 = 146

Therefore ∡4 = 146°

sorry if Im wrong

Answer:

∡4 = 146°

Step-by-step explanation:

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Answers

for the beachfront store it would be 700 free

Answer:

The number of fruit bars that people got free at the Beachfront store is 700.

The people in Minnesota and Ohio are 8/10 of the total salespeople. The people in Minnesota are 3/10 of the total salespeople.

Step-by-step explanation:

For the problem about free fruit bars:

The pattern is that 2/3 of the bars that were bought will be free.

To find 2/3, we will first do 1050 ÷ 3 to get 350.

Then we multiply by 2 to get 700.

Therefore, the number of fruit bars that people got free at the Beachfront store is 700.

For the problem about the salespeople:

Counting from the picture, there are 10 total parts. To figure out if a statement is true, confirm with the graph.

ex: Figure out if the statement "the people in Minnesota and Ohio are 8/10 of the total salespeople" is true.

Ohio has 5 parts in the graph. Minnesota has 3 parts in the graph. 5+3=8. Now we put this over 10, the total parts. So, the statement is true.

i need help with this

Answers

Step-by-step explanation:

See image

Answer:

(a)48 inches, (b)the third quartile, (c) first ---> second quartile

Step-by-step explanation:

(a) because the right whisker reaches to that area.

(b) because the lines are closer together.

(c) because the lines are farther apart.

The owner of a tea shop is making a blend of two teas. Tea A costs $5.40 per pound. Tea B costs $6.80 per pound. The owner wants to make 8 pounds of the blend and wants to sell it for $5.75 per pound. How much of each tea should he use?

Answers

Answer:
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
Step-by-step explanation:
Let the mass of the tea-1 be x and tea-2 be y.
Total mass of mixture tea owner wants to make = 20
pounds
x+y = 20 ... [1]
Cost of 1 pound of tea-1 = $6.50
Cost of 1 pound of tea-2 = $4.00
Cost of the 1 pounds mixture = $5.50
₴ × $6.50 + y × $4.00 = 20 × $5.50
6.5× + 4.00y = 110... [2]
Solving equation [1] and [2] by substitution method, putting value of × from [1] in [2].
X=20 - y
6.5(20 - y) + 4.00y = 110
130 - 6.50y + 4.00y = 110
-2.5 y=-20
y = 8
×=20-y = 20-8 = 12
12 pounds of tea-1 and 8 pounds of tea-2 should be used.

I REALLY HOPE THIS HELPS

Mm what about this one? Help please ♡☆ ty ty!♡

Answers

Answer:

54

Step-by-step explanation:

[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]

The measure of ∠1 is 54 degrees by angle sum property

We have to find measure of angle 2 before finding angle 1 ∠1

∠2 + 109 = 180

Subtract 109 from both sides

∠2 = 180-109

∠2 =71 degrees

From angle sum property theorem we know that in any triangle the sum of  angles is 180 degrees

∠1 + 71 +55 = 180

∠1 + 126 =180

Subtract 126 from both sides

∠1 = 180-126

One hundred eighty minus one hundred twenty six is equal to fifty four degrees

∠1 = 54 degrees

Hence, the measure of ∠1 is 54 degrees by angle sum property

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Answers

Answer: 7/16 explanation: 3/8+4/8=7/16
The answer for this question is 7/16
Explanation: 4/8 + 3/8 = 7/16

Brandon and Taylor each start a number pattern with the number 3. Brandon will add 5 to get the next number in his pattern. Taylor will multiply by 2 to get the next number in her pattern.

Which statement is true?

a. The 2nd number in Brandon's pattern is smaller than the 2nd number in Taylor's pattern.
b. The 4th number in Brandon's pattern is bigger than the 4th number in Taylor's pattern.
c. The 5th number in Brandon's pattern is less than half the size of the 5th number in Taylor's pattern.
d.Both patterns have the same 3rd number.

Answers

A is the correct answer as the 2nd number in brandon’s is 8 and in Taylors it is 6

Triangle ABC ~ triangle DEF. Use the image to answer the question.

a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2

Determine the measurement of EF.

EF = 1.58
EF = 1.52
EF = 1.1
EF = 5.5

Answers

Answer:

EF = 1.58

Step-by-step explanation:

Since DE is provided (2.2), we use that in order to find EF.

First, divide the length of AB by the length of DE.

11 ÷ 2.2 = 5

So we use 5 to figure out the measurement for EF.

BC = EF, so we divide BC by 5 to get EF.

7.9 ÷ 5 = 1.58

therefore EF = 1.58

Answer:

EF is equal to 1.58

Take 11 and divide it by 2.2 to get 5, then divide 7.9(BC) and 5 which is 1.58(EF)

Also I got this right on the test, hope it helps <3

please help
What is area of the composite shape? ___ sq. cm

Answers

Answer:

132 cm^2

Step-by-step explanation:

7x4=28

((7+19)/2)8 = 104

104+28= 132

Pretty sure, it is 298 centimeters

Help please I will make you the brainliest and show your WORk pls

Answers

Answer:

Equation: x=45,000 ÷ 3

Answer: 15,000

Step-by-step explanation:

We know that 2/3 of the pens produced in the factory are black. That means that 1/3 of the pens produced in the factory are blue.

If 45,000 pens are produced, then 1/3 of 45,000 will give us the number of blue pens, or x. Now with our equation, we can start solving.

x = 45,000(1/3) is the same thing as x = 45,000 ÷ 3.

45 ÷ 3 is 15. Now we can just add the zeros back in.

x=15000

Therefore, the number of blue pens, or x, is 15,000.

All the best on your homework!

The answer to this is 15,000

Identify the relationship in the figure. Select all that apply.

A) Complementary angles
B) Supplementary angles
C) Adjacent angles

Answers

B) Supplementary is the answer
Cause that’s the only one that opens the arrow angles that big to and 180 degree angle

Answer:

B is the answer!

Step-by-step explanation:

If you have any questions please ask me! :)

[QUICK!! ANSWER THESE TWO QUESTIONS PLEASE,, THOSE WHO answer THESE QUESTIONS WILL RECIEVE 20 points!! ]

Answers

Answer:

7 juniors and 2 coins

Step-by-step explanation:

25% is equal to 25/100 which is 1/4. To find 1/4 of 28 it would be 28/4 which is 7. There are 7 juniors in the program.

5-cent: x

10-cent: y

25-cent: z

5x+10y+25z=320 which is also x+2y=5z=64. You can subsitute y for x+3 because he has 3 more 10-cent than 5-cent. x+x+3+z=23 which is 2x+z=20=z=20-2x.

Substitute

x+2(x+3)+5(20-2x)=64

x+2x+6+100-10x=64

7x=106-64

7x=42

x=6, z=20-2*6=8, z-x=8-6=2

7 junior 2 coins 25% as a fraction is 1/4 then u need to find 1/4 of 28 so 28/4 is 7. Therefore, 7 juniors are in the program

If you borrow $600 for 2 years at an annual interest rate of 7%, how much will you pay altogether?

Answers

The guy who answered first was right

If x = -3, then which inequality is true?

Answers

Answer:

B

Step-by-step explanation:

Not answer choice A because if we plug in x = -3 into -5x +2, the answer is 17. which is NOT ≤ 12

B is correct because if we plug in x = -3 into 3x-7, we get -16 which IS ≥ 16

Not answer choice C because if we plug in x = -3 into 14 +2x, we get 8, which is NOT less than 5

Not answer choice D  because if we plug in x = -3 into 1/2x + 6, we get 4.5 which is NOT greater than 11.

Translate the sentence into an equation.
Four more than the quotient of a number and 5 is 9.
Use the variable b for the unknown number.

Answers

I think its this :)

Answer: 4+5b=9

Answer:4+5b=9Step-by-step explanation:a quotient is the answer, "more" means adding so your going to put four plus five of a number mean an unknown number so you place a variable in this case the variable is "b" the variable always goes after the number and lastly the quotient would be nine.

what's an equation?a mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Nick had 29 toy cars. Then he bought 16 cars from the toy store and got 30 cars for his birthday. Nick gave 9 of the toy cars to his sister and 29 to his friend Jordan. How many toy cars does Nick have left?

Answers

Answer: 37 cars

Step-by-step explanation:

29 + 16= 45

45 + 30 = 75

75 - 38 = 37

Find the approximate radius of a circle with a circumference of 2 kilometers. Use 3.14 for π. Round to the nearest hundredth if necessary.

Answers

Answer:

0.32 (rounded to the nearest hundredth)

Step-by-step explanation:

If you have any questions ask me please! :)

Answer:

0.32 km

Step-by-step explanation:

Using the formula r = c / (2 * π), where c = 2 kilometers and π = 3.14, we can calculate the radius as:

r = 2 km / (2 * 3.14)

r = 2 km / 6.28

r = 0.31847133758 km

Rounding this to the nearest hundredth gives:r ≈ 0.32 km

Therefore, the approximate radius of the circle is 0.32 kilometers.

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Answers

Answer:

Triangle JKL has greater area. The area of triangle JKL is 32 in^2 and area of triangle XYZ is 24 in^2.

Step-by-step explanation:

Area of triangle = 1/2*base*height
For triangle JKL,
Area = 1/2 * 8 * 8 = 32 in^2
For triangle XYZ,
Area = 1/2* 4 * 12 = 24 in^2
Thus, Area of XYZ < Area of JKL

A study showed that 75% of people who joined a gym did so
in January. Which value is equivalent to 75%?
A) 3/4
B) 75
C) 1/4
D) 7.5

Answers

Answer: A 3/4

Step-by-step explanation: this is one of those fractions you need to memorize so if it helps think of it like quarters 1/4=25% 2/4=50% 3/4=75% 4/4=100% or divide 3/4=0.75 and 0.75 as a percent is 75% same rule applies to all fractions

Answer:

A

Step-by-step explanation:

75 percent in decimal form would be 0.75

3/4 = 0.75

so they share the same value

What is area of the composite shape? ___ sq. ft

Use 3.14 for "pi" and round to the nearest hundredths place.

Answers

Answer:

236.63

Step-by-step explanation:

The area of the composite shape is
236.63 sq
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