Mathematics Middle School

x/3+x/7<2 , how do i solve ?

X/3+x/7&lt;2 , How Do I Solve ?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

\(\dfrac{x}{3}+\dfrac{x}{7}<2\)

Since the least common multiple of 3 and 7 is 21, multiply both sides by 21:

\(7x+3x<42 \\\\10x<42\)

Divide both sides by 10 to isolate x:

\(x<\dfrac{42}{10}\\\\\\x<\dfrac{21}{5}\)

Therefore, the correct answer is choice B. Hope this helps!

Related Questions

Please answer question #35

Please answer question #35

Answers

Answer:

X × (100-25)

Step-by-step explanation:

Lets take X and then multiply it by its discount, 25% which is (100-25). Your final product will be what you bought divided by 25%.

Hope that helped. Try it with your teacher, might be wrong...

The equation of a plane which passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5) is given by?

Answers

Answer: We can find the equation of a plane in point-normal form, which is given by:

Ax + By + Cz + D = 0

where (A, B, C) is the normal vector to the plane and (x, y, z) are the coordinates of any point on the plane, and D is a constant.

To find the normal vector, we can use the cross product of two vectors that lie on the plane. A convenient choice for these vectors is the direction vector of the line, which is given by:

v = <2-3, -1-4, 5-(-1)> = < -1, -5, 6 >

The normal vector to the plane is given by the cross product of the direction vector of the line and the vector pointing from any point on the line to the point (2,-3,1). Let's call this vector v2 = <2-3, -3-4, 1-(-1)> = < -1, -7, 2>

So the normal vector is given by:

n = v x v2 = ( -52 + 6-7)i + (6*-1 - -12)j + (-1-7 - -5*2)k = (14)i + (-7)j + (-11)k

Given that the point (2,-3,1) lies on the plane, we can substitute these values in the point-normal form equation:

A2 + B-3 + C*1 + D = 0

-142 + -7-3 + -11*1 + D = 0

-28 - 21 - 11 + D = 0

D = 58

So the equation of the plane is :

14x - 7y - 11z + 58 = 0

This is the equation that represents the plane that passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5)

Step-by-step explanation:

1. there is a box of supplies on the end of a rope that is on a pulley. The pulley has a radius of 1/4 foot.

A . How far can you move the box of supplies in 8 rotations of the pulley? Show and explain all of your work

B. How far can you move the box of supplies in 8 rotations if the radius of the pulley is doubled? Show and explain all of your work.

Answers

Answer:

to put it simply it's a pretty easy question and it's b

Error Analysis: A store is instructed by corporate headquarters to put a markup of 67​% on all items. An item costing ​$6 is displayed by the store manager at a selling price of ​$4. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Part 1: The correct selling price is ​(Round to the nearest dollar as​ needed.)
Part 2: What was the​ manager's likely​ error?

A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.

Answers

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

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100 points no dum.b answers.
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Answers

Answer:

hey

Step-by-step explanation:

2, 3, 5, 9, 17, 22, 31, 39

Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17

Answers

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

16
2+3+5+9+17+22+31+39=128
128/8=16

Step by step please

Step by step please

Answers

Answer:

step 1.

(67-X)=180

67-180= - X

-X=-113

X=113

This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B

This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value

Answers

The value of A/B is given as follows:

A/B = -2.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:

B = -1 -> as x + B = 0 -> x = -B = -1.

When x = 0, y = -2, hence the value of A is obtained as follows:

A/-1 = -2

A = 2.

Then the division is given as follows:

A/B = 2/-1 = -2.

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-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)

Answers

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

becoz it is a multiple choice, we can go by elimination, hence when we expand #4, we will get -3+6x

Question: What is the AREA of this shape
(and pls include steps)

Question: What is the AREA of this shape(and pls include steps)

Answers

Step-by-step explanation:

first off: write the formula that you would be using, which in my case would be

A = B x H

the B stands for base, and the H stands for height

the base of the shape would be 14.3 in

while the height is the dotted line in the middle (which would be 14.4 in)

to find the answer you would write it like this:

A = B x H = 14.3in x 14.4in

= (conversion to other form of measurement if necessary)

= 205.92 in

(answer may be wrong as it was calculated with calculator app)

One way to approach this would be by splitting up the shape into the bottom part, being a rectangle, and the top part, being a triangle.

The area formulas for each shape are:

rectangle: A=b*h
triangle: A=(1/2)b*h

First, you can start by noticing that the base for both the triangle and rectangle is given, being 14.3 inches.

Next, you can find the height of

Diane knows a phone call to a friend costs 25 cents for the first 3 minutes and 10 cents for each additional minute. The number of minutes you call and the cost of the call are related.

Diane knows a phone call to a friend costs 25 cents for the first 3 minutes and 10 cents for each additional

Answers

It should be y=.10x + .25 because for each additional minute you are adding 10 cents to ur total cost and then u add the 25 cents to ur amount because that’s how much it costs to make the call for the first 3 minutes.

The correct equation for total amount is,

y = 10x + 75

We have to given that,

Diane knows a phone call to a friend costs 25 cents for the first 3 minutes and 10 cents for each additional minute.

Here, The number of minutes you call and the cost of the call are related.

Now, Let us assume that,

Number of additional minutes = x

Hence, The correct equation for total amount is,

y = 25 × 3 + 10x

y = 75 + 10x

y = 10x + 75

Hence, The graph of equation shown in figure.

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Diane knows a phone call to a friend costs 25 cents for the first 3 minutes and 10 cents for each additional

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared
It will be 35 dollars

Which of the following statements are true about the angles in the figure? Select all that apply.
∠X and ∠Z are vertical angles.
∠X and ∠Y are a linear pair.
∠W and ∠Z are supplementary.
∠Y and ∠Z are supplementary.
∠W and ∠X are adjacent.

Which of the following statements are true about the angles in the figure? Select all that apply.X and

Answers

Answer:

∠X and ∠Y are a linear pair.

∠W and ∠Z are supplementary.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°.

Linear pairs of angles are those two adjacent angles whose sum is 180°.

I don’t know I think the first one but not sure

Solve for X

X²=100
Will choose brainliest

Answers

Answer:

the value of x is 10

Step-by-step explanation:

x² = 100

Take square roots

x = √100

x = 10

The sum of the measures of angle P and angle Q is 90°.

The measure of angle P is (2x−10)°.
The measure of angle Q is 60°.
What is the value of x?

Answers

Answer:

The measure of the second angle is,. 2a=2×60° =120°.

Step-by-step explanation:Supplementary angles are two angles whose measures add up to 180° .

The two angles of a linear pair, like ∠1  and  ∠2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠3  and  ∠4 are supplementary, because their measures add to 180°.

Answer:

x=20

Step-by-step explanation:

since the value of angle P and Q adds up to 90°,

(2x-10)+60=90.

shift -10 and 60 to the right hand side of the equation,

2x=90-60+10

2x=40

divide both sides by 2,

x=40÷2

x=20

hence, the value of x is 20

A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 2 units left, 2 units up, and 4 units right. If he instead walks diagonally to his corn field, how far has he gone? Round to 2 decimal places.

Answers

Answer:

The answer should be 73.97

Step-by-step explanation:

2. Without solving the systems, explain why the following systems must have the same solution.

System (a): 4x-5y= 13 system (B): 8x- 10y= 26
3x+6y= 11 x-11y= 2

Answers

because when you simplify system b, it becomes the same as system A
System multiplied by 2= system b

Complete the table. At the beginning of the summer, there are 15 rabbits living in a field. Each week for the rest of the summer, another rabbit moves in. The equation r=25 + w describes the number of rabbits, r, after a certain number of weeks, w ​ ​


Weeks Since Summer Started ​Rabbits

​1 ​ ​ _

_ ​21 ​

8 ​ ​ _

(image displayed below)

Complete the table. At the beginning of the summer, there are 15 rabbits living in a field. Each week

Answers

Based on the above, there are 26 rabbits after 1 week.

There are 33 rabbits after 8 weeks.

What is the numbers of Rabbits?

Weeks Since Summer Started                         Rabbits

     1                                             |   16

     2                                            |   17

     3                                             |   18

     4                                              |   19

     5                                              |   20

     6                                                |   21

     7                                                 |   22

     8                                                |   23

To find the number of rabbits after a certain number of weeks, we can substitute the number of weeks into the equation r = 25 + w and solve for r.

For example, after 1 week, we have:

r = 25 + w = 25 + 1 = 26

So there are 26 rabbits after 1 week.

Similarly, after 8 weeks:

r = 25 + w = 25 + 8 = 33

So there are 33 rabbits after 8 weeks.

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x/-9 is greater than or equal to 3

Answers

Answer:grater than 3 I think

Step-by-step explanation:

It is greater than 3

A car that normally sells for $20000 is on sale for $16000. The sales tax is 7.5%
A. What percent of the original price of the car is the final price?

Answers

Answer:

hi 8

Step-by-step explanation:

The answer will be 8

The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?

The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.

The base of this pyramid is a rectangle. How many congruent faces does this pyramid have? The pyramid

Answers

Answer: The Pyramid has 2 pairs of congruent faces

Step-by-step explanation:

The explanation of congruent is the face has the same shape and same size. On rectangle pyramid, the height triangle are 2 same faces and 2 same faces, so it has 2 pairs of congruent faces

The base has 4 congruent faces

Which equation correctly applies the distributive property?

I think the answer is D but I'm not sure. Thanks for helping

Which equation correctly applies the distributive property?I think the answer is D but I'm not sure.

Answers

Answer:

Yes you are correct, the answer is D

Step-by-step explanation:

the answer is still 420 regardless if you do :

\(42*(3.5+1.3+5.2)\\\)

or

\((42* 3.5)+(42* 1.3)+(42 *5.2)\)

wait its actually D good job

..Simplify: X^-3 X^2

Answers

Answer:

2/3

Step-by-step explanation:

i hope this helps

X^-3
X^2
= do you add them? if you do than X^-1

HELP PLZ I WILL GIVE BRAINLIEST!! Write the prime factorization of 280 using exponents.

Answers

the answer is 2(3) x 5(1) x 7(1)

Answer: 16? Don't trust me.

Step-by-step explanation:

(3 + 1)(1 + 1)(1 + 1) = 4 x 2 x 2 = 16

Pls, Help with the discussion essay below.
What factors should you consider when determining the best graph or display to represent a given set of data? In your answer, choose a set of data relevant to your life and explain the best way to display it.

You are required to thoughtfully respond to the topic according to the guidelines in the rubric below. Be sure to return to this page from time to time so that you can respond to classmates’ comments as well.

Answers

Answer:

Hm, when determining the best graph you have to look at the data and the questions. let's say during softball practice my sister throws up to 60 to 79 mph and up to 0 to 6 pitches each time. You would use a bar graph to organize it. the height of your bar graph would represent the number of times you throw it. Hope that makes sense and helps.

Jose's football weighs 7/8 pound. His football helmet weighs 5 1/6 pounds. Estimate how much more the helmet weighs than the football.

Show your work.

Answers




The helmet weights more than the football because the football doesn’t even weighs 1 pound and the helmet weights more than 1 pound

Answer:

4 1/24

Step-by-step explanation:

5 1/6 - 1 1/8

5 8/48 - 1 6/48

4 2/48

4 1/24

Questions 1 and 4
Please help ASAP bc it is due tmr

Questions 1 and 4 Please help ASAP bc it is due tmr

Answers

Answer: explanation

Step-by-step explanation:

I am unsure about number 1, but for number 4, you have to fund the unit rate.

Answer:

Answer for Number 1: 54 1/2

Answer for Number 4: $2.36

Step-by-step explanation:

Explanation for number 1:

    1.  length x width = area right? So area divided by length = width!

        159 3/8 divided by 18 3/4 = 8 1/2

    2. width + width + length + length = perimeter right? Now you know the

        width,  you can do...

         8 1/2 + 8 1/2 + 18 3/4 + 18 3/4 = 54 1/2

Explanation for number 4:

    1.  You know that 4 cup = 1 quart right?

        9.44 = 1 quart

    2. So you divide it:

        9.44 / 4 = $2.36

10(5 + x) - 10 = 90 Solve
WRITE AN EQUATION

Answers

the equation is 50+10x-10 which would simply to 40+10x and then change the x to 5 ( now it’s 5 times 10 ) changing 10x to 50 . 50+40 equals 90 . GOOD LUCK
So if you use distributive property you would charge the equation to 50+10x-10=90 simplified even more it would be 10x+40=90
Subtract 40 from both sides to get 10x=50 divide both by 10 to get x=5

Go back and check work 10(5)+40=90
50+40=90
90=90

X=5

Good luck algebra is something else

17 POINTS WILL GIVE BRIANLIEST !!

17 POINTS WILL GIVE BRIANLIEST !!

Answers

Answer:

68

Step-by-step explanation:

(4x+52)+(8x-10)=90

12x+42=90

12x=48

x=4

4(4)+52=4x+52

16+52=68

The answer is 68 hope this helps

A construction company buys various materials for building projects. The table shows the costs for various pounds of the materials

A construction company buys various materials for building projects. The table shows the costs for various

Answers

Answer:

9.50x

Step-by-step explanation:

80x2=160 pounds-10=150=4.80x2= y=9.50x

Answer:

A. y = 17x

B.2550

Step-by-step explanation:

A. 80/4.80

16.6666666667 ≈ 17

B. 17*150

2550

Please tell me if incorrect and I will try and fix it

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