five less than a number is at least 40. write and solve an inequality to find the minimum value of the number​

Answers

Answer 1

Answer:

45

Step-by-step explanation:

5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.

x-5 ≥ 40

x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)

∴x   ≥ 45

In other words, x is at least 45.

Therefore, the minimum value of x is 45.

Answer 2

Final answer:

The inequality that represents 'five less than a number is at least 40' is x - 5 ≥ 40. To solve this, we add 5 to both sides, resulting in x ≥ 45. This means the minimum value of the number is 45.

Explanation:

To express the statement five less than a number is at least 40 as an inequality, let's designate the unknown number as x. The phrase five less than a number translates to x - 5, and at least 40 means the value is 40 or greater, which we write as ≥ 40. Combining these, the inequality is x - 5 ≥ 40.

Now, we solve the inequality step by step:

Add 5 to both sides: x - 5 + 5 ≥ 40 + 5

Simplify both sides: x ≥ 45

The minimum value of x is 45; therefore, any number that is 45 or greater satisfies the inequality.


Related Questions

What is the product? 2y/y-3 multiplied by 4y-12/2y+6

Answers

Answer:

The answer is 4y / y+3

Step-by-step explanation:

See the attached figure

Answer:

D. 4y/y+3

thanks (:

Start time 7:59am,end time 2:33 pm elapsed time is

Answers

6:34 minutes Six hours thirty four minutes

Answer:

6 hours 34 minutes.

Step-by-step explanation:

12.00 pm - 7.59 am =  4 hours 1 minute.

2.33 pm - 12.00 pm =  2 hours 33 minutes.

Answer is 6 hours 34 minutes.

At the fair the ratio of male to females was 4:5. If there are 160 males at the fair, how many females are there? Show work.

Answers

Ratio: 4:5 or 4/5
This means that for every 4 males, there are 5 females
There are 160 males at the fair, so divide 160 by 4 to get 40
Then, multiply 40 by 5 to get 200

That means that if there are 160 males at the fair, there are 200 females.
I hope this helps! :)

plz solve ASAP
solve the equation


-3(y-5)=24


y=?

Answers

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

-5 - 3 = -7

-8 * -3 = 24

bc a (-) plus a (-) equals a (+)

Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.

Daily Temperature (°F) Cakes Sold
42 39
45 52
48 31
54 61
59 72
62 35
64 61
65 34
67 58
75 45
84 24
The correlation coefficient is close to .

Based on this information, we can conclude that Amélie's cake sales are affected by the daily temperature.

Answers

Answer:

the coeffiectans is 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily temperature and the number of cakes she sold on different days of the year

Let us find the correlation coefficient for the variables x, daily temperature and y, no of cakes sold.

x y

 

42 39

45 52

48 31

54 61

59 72

62 35

64 61

65 34

67 58

75 45

84 24

 

r -0.197481837

Since r is nearer to 0 than to 1, we find that there is a negative very moderate correlation between the two variables.

We cannot conclude that  Amélie's cake sales are affected by the daily temperature.

la altura de un triángulo equilátero cuyo perimetro mide 45 cm ?

Answers

Search it up!!!!!!!!

A box in the shape of a right rectangular prism has a length of 8 inches, a width of 4 inches, and a height of 3 inches. What is the volume, in cubic inches, of the box? Do not round your answer.

Answers

Answer:

V = 96 cubic inches

Step-by-step explanation:

Volume of a rectangular prism is V= LWH,  

we are given W = 4, L = 8, and H = 3.  Plug  them in and find W...

V = (4)(8)(3)

   V = 32(3)

 

      V = 96 cubic inches

What is the answer for number one and possibly number two please

Answers

1. Answer: 24

Step-by-step explanation:

There are 4 cities to choose from.  After visiting the 1st city, there are only 3 cities to choose from, etc (see below).

1st city  and   2nd city   and     3rd city   and   4th city

   4        x          3            x             2           x         1        =   24

2. Answer: 30,240

Step-by-step explanation:

There are 10 digits to choose from.  After choosing the first digit, there are only 9 digits to choose from (because you can't have duplicate digits in the combination) (see below).

1st digit  and  2nd digit  and  3rd digit  and  4th digit  and  5th digit

   10        x           9           x         8           x          7           x          6       = 30,240

this one is confusing​

Answers

Answer:

see explanation

Step-by-step explanation:

given

2x ÷ 4 = 10 or

[tex]\frac{2x}{4}[/tex] = 10 ( multiply both sides by 4 )

2x = 40 ( divide both sides by 2 )

x = 20

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

(b)

He may have mistaken the ÷ for  a - (subtraction sign )

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 ), leading to

x = 7 ← the incorrect answer he obtained

Answer:

Step-by-step explanation:

Confused so can someone help

Answers

The correct answer to this would be graph a.

For this case we must indicate the graph corresponding to the following inequality:

[tex]y <\frac {3} {4} x + 2[/tex]

As it is observed that equality is not included, we can discard options C and D. We are left with the graphs of the dotted border line.

Graphic A:

We evaluate in the inequality the point [tex](0,0)[/tex]

[tex]0 <\frac {3} {4} (0) +2\\0 <2[/tex]

The inequality is met.

Thus, the inequality is represented in graph A.

Answer:

Option A

Which situation CANNOT be represented by this equation?  6x−7=29

Answers

Answer:

You have it correct, letter A or the one on the top.

Step-by-step explanation:

The main difference between the top one and the bottom two is the top one says, earns $7 an hr. which it should be $6 and hr (6x).

Plz mark brainliest if you can!

Select the correct answer! Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5?
A. (6, 5)
B. (2, -5)
C. (0, 0)
D. (6, -2)

Answers

The Answer to your question is:

B: (2,-5)

Answer:

the vertex is (2,-5)

Step-by-step explanation:

f(x) = 6|x − 2| − 5

WE need to find out the vertex of the given absolute function

The vertex form of absolute function is

f(x) = a|x − h| +k

where (h,k) is the vertex

Now we compare the given f(x) with the vertex form

h= 2  and k = -5

so the vertex is (2,-5)

10y^2+10y+3=0 use quadratic formula to solve each equation ​

Answers

Answer:  [tex]\bold{-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}}i[/tex]

Step-by-step explanation:

[tex]10y^2+10y+3=0\qquad \rightarrow \quad a=10,\ b=10,\ c=3\\\\y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\y=\dfrac{-10\pm \sqrt{10^2-4(10)(3)}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{100-120}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{-20}}{2(10)}\\\\\\.\ =\dfrac{-10\pm 2i\sqrt5}{2(10)}\\\\\\.\ =\dfrac{-5\pm i\sqrt5}{10}\\\\\\.\ =-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}i[/tex]

**WILL MARK BRAINLIEST AND THANK YOU**

Solve the equation f(x)=g(x) by graphing the functions f(x)=3^x+1 and g(x)=4 on the same set of coordinate axes.

Which statements about the solution are true?

Select *EACH* correct answer.

A. The solution to the equation is x=1

B. The ordered pair that contains the solution to the equation lies in Quadrant I

C. The ordered pairs that contain the solutions to the equation like in Quadrants I and II.

D. There are 2 solutions to the equation.

E. The ordered pair that contains the solution to the equation lies in Quadrant II

Answers

See the graph below.

The answer is: B. The ordered pair that contains the solution to the equation lies in Quadrant I

Solve these equations. Show solutions on a number line.

 |x+8|=x+8

Answers

Answer:

-8 < x < inf

[-8 , inf )

Step-by-step explanation:

set up a +/- |x + 8| = x + 8

the setup a number line and use test points

Answer:

x > -8

Step-by-step explanation:

ummmmmm so its not negative lol

Calculate the median of 5,10,12,4,6,11,13,15

Answers

the median would be 10.5

x-y < z for x I need help with this please ​

Answers

Answer:

x < y + z  

Step-by-step explanation:

x - y < z

Add y to each side:     x < y + z

Juan is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits.

Blue shirt – Black pants
Blue shirt – White pants
Blue shirt – Blue pants
White shirt – Black pants
White shirt – White pants
White shirt – Blue pants
Tan shirt – Black pants
Tan shirt – White pants
Tan shirt – Blue pants

Based on the list, how many different-color shirts does Juan have to choose from?

6
9
3
1

Answers

He only has 3 different color shirts to choose from

The number of different color shirts Juan have to choose from is A = 3

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of shirts be represented as set A

Now , the value of A is

Blue shirt – Black pants

Blue shirt – White pants

Blue shirt – Blue pants

White shirt – Black pants

White shirt – White pants

White shirt – Blue pants

Tan shirt – Black pants

Tan shirt – White pants

Tan shirt – Blue pants

A = { Blue shirt , White shirt , Tan shirt }

So , the number of elements in set A = 3

Hence , the different color shirts to choose from is 3

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is 2/6 equal to 2/3​

Answers

Answer: No

Step-by-step explanation: 2/6 is not equal to 2/3. Find common denominators. The common denominator would be 6. So multiply each number in 2/3 by 2. You will get 4/6. 4/6 is not equal to 2/3.

HURRY 24 POINTS GIVEN!

Answers

Answer:  40°

Step-by-step explanation:

There are 4 pink angles (labeled as "a") and each are the same measure.

There are 4 green angles (labeled as "b") and each measure 50°.

A circle is 360°

4a + 4b = 360

4a + 4(50) = 360

4a + 200 = 360

4a           = 160

 a           =  40

there are four students in each small reading group there are 24 students in all.
how many reading groups are there​

Answers

Answer:

6

Step-by-step explanation:

24 / 4 = 6

Final answer:

The number of reading groups can be determined by dividing the total number of students, which is 24, by the number of students in each group, which is 4. The calculation is 24 ÷ 4, resulting in 6 reading groups.

Explanation:

To find the number of reading groups, we can use a simple division operation because we are dividing a larger group of items (students) into smaller equal-sized groups. In this case, we have 24 students and want to find out how many groups of 4 students we can create from that total.

Here's the step-by-step explanation:

Identify the total number of students, which is 24.

Identify the number of students in each reading group, which is 4.

Divide the total number of students by the number of students in each group: 24 ÷ 4 = 6.

Therefore, there are 6 reading groups.

Given: circle k(O), m∠A=(x+45)°, m KE =(x+20)°, m EW =(3x)° Find: m KW . HELP ASAP WILL GIVE BRAINLIEST!

Answers

Answer:

160°

Step-by-step explanation:

We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).

that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:

m∠A = 0.5 (arc KE + arc EW)

x+45 =0.5 (x+20+3x)

x+45 = 0.5(4x+20)

x+45 = 2x + 10

45 - 10 = 2x - x

Thus, x = 35

Since Arc KW = Arc KE + Arc EW and x = 35, we can say:

Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°

The value of the arc KW subtended from the center of circle O is 160°.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the circle O:

m KW = m KE + m EW (angle addition postulate)

m KW = (x + 20) + (3x)

m KW = 4x + 20

m KW = 2m∠A (angle subtended from center)

4x + 20 = 2(x + 45)

x = 35

m KW = 4(35) + 20 = 160°

The value of the arc KW subtended from the center of circle O is 160°.

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Solve for x: −3|x − 3| = −6

Answers

Answer:

x = 5                         x = 1

Step-by-step explanation:

−3|x − 3| = −6

Divide each side by -3

−3/-3|x − 3| = −6/-3

|x − 3| = 2

An absolute value is equal to a positive and negative solution

x-3 =2      and      x-3 = -2

Add 3 to each side

x-3+3 = 2+3            x-3+3 = -2+3

x = 5                         x = 1

what is the height and length of a rectangular box with a volume of 6x^2-600 with a width of 6

Answers

Answer:

(x+10) and (x-10)

Step-by-step explanation:

The volume of a rectangular box is defined as

Volume = width*height*length

In this case

Volume  = 6x^2-600  =  6*(x^2 - 100)

And we also know,

Volume  =  (6)*height*length

So,

6*(x^2 - 100) = (6)*height*length

This means that

height*length = (x^2 - 100)

height*length = (x+10)*(x-10)

How do you find the area of a circle if you already have the diameter

Answers

Answer:

If you have the diameter of a circle, you can use it to find the area of that circle. Just plug that value into the formula for the area of a circle and solve. Hope this helps. :)

Answer:

The area of a circle is Pi * Radius^2 or Pi * diameter.

So do 3.14 * the diameter.

Which of the following is NOT a statistical?

A. How often do students at your school go swimming?
B. What are the ages of your family members that can swim?
C. How many times did you go swimming the last week?
D. What is the average amount of time you spend at the pool when you go?​

Answers

The correct answer is C- How many times did you go swimming last week.

the figure is made up of 2 rectangles and 2 right triangles. what is the area of the figure? A 132 units² B 156 units² C 168 units² D 216 units² ​

Answers

Answer:

Total area=132cm^2

I hope this helps :)

pls mark me brainlist

Please help solve this question.

Answers

Answer: OPTION A

Step-by-step explanation:

Descompose the number 20 into its prime factors:

[tex]20=2*2*5=2^2[/tex]

Because, by definition:

[tex]\sqrt[n]{a^n}=a[/tex]

 Then, you must rewrite 2²*5 inside of the square root, as following;

[tex]\frac{3\sqrt{2^2*5}}{\sqrt{5}}[/tex]

Simplify as following:

Keeping on mind that [tex]\sqrt[n]{a^n}=a[/tex], then:

[tex]\frac{3*2\sqrt{5}}{\sqrt{5}}[/tex]

 Note:

[tex]\frac{\sqrt{5}}{\sqrt{5}}=1[/tex]

Then:

[tex]\frac{6\sqrt{5}}{\sqrt{5}}=6(1)=6[/tex]

Therefore, as you can see the answer is the option A

Answer:

option A)

6

Step-by-step explanation:

Given in the question the expression

3√20 / √5

(3 x √20) / √5

√20 can be separated as 5x4

(3 x√5x4) / √5

square root rule

(3 x  √5√4) / √5

cancelling √5 from both sides

3 x √4

3 x 2

6 answer

So simplified form of  3√20/√5 is 6

How do you solve his problem

Answers

Answer:

20

Step-by-step explanation:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-6 - 10)^2 + [7 - (-5)]^2} [/tex]

[tex] d = \sqrt{(-16)^2 + (7 + 5)^2} [/tex]

[tex] d = \sqrt{256 + 12^2} [/tex]

[tex] d = \sqrt{256 + 144} [/tex]

[tex] d = \sqrt{400} [/tex]

[tex] d = 20 [/tex]

Answer: 20

Use the provided ruler suppose you re-create the drawing so I had a scale of 1 cm to 4 cm in length and width of the new scale drawing be

Answers

Final answer:

To recreate a drawing on a new scale of 1 cm to 4 cm, simply multiply the original dimensions by the scale factor of 4.

Explanation:

If you are given a drawing and you want to recreate it on a new scale where 1 centimeter (cm) in the original equals to 4 centimeters in the new drawing, then you simply have to multiply the dimensions of the original by 4. Suppose the original drawing is 2 cm in length and 3 cm in width. Then the new length would be 2 cm * 4 = 8 cm and the new width would be 3 cm * 4 = 12 cm. Remember this is a general concept and can be applied to all dimensions of the drawing. It's a basic concept in proportion and scale factor.

Learn more about Scale Factor here:

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