Mathematics College

5 < k -2 < 11 ?
-4 > y + 2 > -10 ?
5 -m < 4 or 7m > 35 ?
3 < 2p -3 < 12 ?

Answers

Answer 1

Answer:

[tex]7 < k < 13[/tex]

[tex]-6>y>-12[/tex]

[tex]m > 5[/tex]

[tex]3 < p < \frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]5 < k -2 < 11[/tex]

[tex]-4 > y + 2 > -10[/tex]

[tex]5 -m < 4\ or\ 7m > 35[/tex]

[tex]3 < 2p -3 < 12[/tex]

Required

Solve

Solving (1):

[tex]5 < k -2 < 11[/tex]

The above can be represented as:

[tex]5<k -2[/tex] and [tex]k -2<11[/tex]

Solving [tex]5<k -2[/tex]

[tex]5 + 2 <k[/tex]

[tex]7<k[/tex]

Solving [tex]k -2<11[/tex]

[tex]k < 2 + 11[/tex]

[tex]k < 13[/tex]

So, we have:

[tex]7<k[/tex] and [tex]k < 13[/tex]

This can be combined as:

[tex]7 < k < 13[/tex]

Solving (2):

[tex]-4 > y + 2 > -10[/tex]

Split as:

[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]

Solving [tex]-4 > y + 2[/tex]

[tex]-4 - 2 > y[/tex]

[tex]-6 > y[/tex]

Solving [tex]y + 2 > -10[/tex]

[tex]y > -10 - 2[/tex]

[tex]y > -12[/tex]

So, we have:

[tex]-6 > y[/tex] and [tex]y > -12[/tex]

This gives

[tex]-6>y>-12[/tex]

Solving (3):

[tex]5 -m < 4\ or\ 7m > 35[/tex]

Solve for m in both cases:

[tex]5 - m < 4[/tex]

[tex]-m<4 - 5[/tex]

[tex]-m<- 1[/tex]

[tex]m > 1[/tex]

[tex]7m > 35[/tex]

Divide both sides by 5

[tex]m > 5[/tex]

So, we have:

[tex]m > 1[/tex] or [tex]m > 5[/tex]

The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]

Solving (4):

[tex]3 < 2p -3 < 12[/tex]

The above can be represented as:

[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]

Solving [tex]3 < 2p - 3[/tex]

Add 3 to both sides

[tex]3 + 3 < 2p - 3 + 3[/tex]

[tex]6 < 2p[/tex]

Divide both sids by 2

[tex]3 < p[/tex]

[tex]2p - 3<12[/tex]

Add 3 to both sides

[tex]2p - 3 + 3 < 12 + 3[/tex]

[tex]2p < 12 + 3[/tex]

[tex]2p < 15[/tex]

Solve for p

[tex]p < \frac{15}{2}[/tex]

So, we have:

[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]

Combined as:

[tex]3 < p < \frac{15}{2}[/tex]

Related Questions

The solution is...?
Thanks in advance.

Answers

Answer:

Answer has been attached above thanks

Help don’t understand

Answers

Answer:

Wait u don’t understand what is there supposed to be a pick or something?

Step-by-step explanation:

Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved

Answers

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

Which of the following expressions is in simplified form?
-9+ 2.7x + 0.8
03 w+ 1.3w
62 - 4
02t - 5 - t

Answers

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

What is the midpoint of KL

Answers

Answer:

k

Step-by-step explanation:

Answer:

Ummm... You didn't attach a picture lol.

Step-by-step explanation:

Have a great day! Good luck!

I need help please thank you

Answers

Answer:

D I'm sure....................... :D

Answer:

ok surly yes always

Step-by-step explanation:

i think it is D

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 2000 points to continue on to the next level. Write and solve an inequality that represents the number d of diamonds you must collect in less than 2 minutes to advance to the next level.
NEED HELP ASAP

Answers

Answer:

i need helppppppppppppppp

Step-by-step explanation:

12
11
14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes

Answers

Answer:

distributive proper

Step-by-step explanation:

mulitiply

Write these numbers in order of size.
Start with the smallest number


0.13 3/20 12% 1/10 0.09

Answers

.09, 1/10,12%,0.13,3/20

Which set of ordered pairs is made up of points on the graph of the function below? y=2x+3

Answers

(0, -6) , (1 , -4) , ( 2 , -2)
Please tell me if I’m wrong

Which equation is equivalent to x + 8 = 21? (x + 8) × 4 = 21 (x + 8) × 4 = 21 ÷ 4 (x + 8) × 4 = 21 × 2 (x + 8) × 4 = 21 × 4

Answers

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

Two stage floors are in the shape of isosceles trapezoids. The small stage floor in the drama room is
geometrically similar to the large stage floor in the auditorium, as shown below.
24
8
1211
Which proportin can be used to find the length of x, the large stage floor?
o
12
24
24
12+
12 I
8
24
1+12

Answers

Answer:b

Step-by-step explanation: you take the c of

The correct proportion that can be used to find x is 8 / 24 = 12 / x

The corresponding sides of the figures are taken into consideration.

The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as

12 / x

The other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as

8 / 24

The ratio must be equal to each other to prove the similarity . Therefore,

12 / x = 8 / 24

The correct proportion that can be used to find x is 12 / x = 8 / 24

read more: https://brainly.com/question/22542504?referrer=searchResults

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 19 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answers

Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

Afla suma a trei numere ,stiind ca primul este succesorul numarului 999 ,al doilea este cu 1.872 mai mare ,iar al treilea cat primele doua la un loc.

Answers

Answer:

7744

Step-by-step explanation:

Din informațiile furnizate:

Succesorul primului număr 999 = 1000

Al doilea este cu 1872 mai mare= 1872 + 1000 = 2872

Al treilea care sunt primele două împreună = 1000 + 2872 = 3872

∴

Suma celor trei numere = 1000 + 2872 + 3872

= 7744

Help. Need help ASAP!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

18's factors are 2 * 3 * 3

The two 3s can reduce the result further. sqrt (2 * 3 * 3)

square root 18 = 3*sqrt(2)

There are two sides with this length. Their total is 3sqrt(2) + 3sqrt(2) = 6√2

The perimeter is the sum of all three sides = 6 + 6√2

Select all the equations that have the same solution as 2x - 5 = 15
A
2x = 10
B
2x = 20
C С
2(x - 5) = 15
D
2x - 20 = 0
E
43 - 10 = 30
F 15 = 5 – 22

Answers

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

Find the a2, a3, and a4 terms of the sequence defined as:

Answers

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

Can someone please help

Answers

I need points lol ,, i hope you find your answer i guess .

HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!

Answers

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

MADEAAA HELPPPPPPPPPPPPP MEEEEEEEEE

Answers

Answer:

7 inches

Step-by-step explanation:

A line passes through (2, 8) and (4, 12). Which equation best represents the line? (10 points)


y = 1 over 2 x + 6

y = 2x + 7

y = 2x + 4

y = 1 over 2 x + 10

Answers

Answer: y=2x+4

You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)

Mr. Chen is painting one wall of a room in his attic. He needs to detemine the area of the wall so he will know how much paint he will buy. The drawing below shows the dimensions of the wall.







Part A: Given the drawing, what is the area of the wall?



The area of the wall is

square feet.


Part B: If one quart of paint will cover 22 square feet, how many whole quarts will Mr. Chen need to buy?



He will need to buy
whole quarts.

Answers

Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

Which of the following transformations always preserve the orientation of a figure?
1- Translations
2- Rotations
3- Reflections
4- None of them

Answers

Answer:

Translation

Step-by-step explanation:

Translation is when something moves or slide. Orientation refers to the way it is facing or turned.

The required given statement is Reflections is transformations always preserve the orientation of a figure.

What are transformations?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given statement is which transformations always preserve the orientation of a figure.

According to given question we have

Reflection is a type of transformation in which the given image is flipped across a line of reflection to create the transformed image. In this transformation, dimensions of the figure is always preserved.

In a translation, the preimage and image have the same orientation. In a rotation, the orientation of the preimage is changed. Both are rigid transformations.

Therefore, the required given statement is Reflections is transformations always preserve the orientation of a figure.

Learn more details about transformations here:

https://brainly.com/question/11709244

#SPJ5

(X-6)^2 multiply and expand

Answers

The answer will be x - 36, first u do the brackets and then you will get x - 6 ^ 2 then all you do it square times 6 by itself. You will then get x - 36

Answer:

x² - 12x + 36

Step-by-step explanation:

Given

(x - 6)² = (x - 6)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 6) - 6(x - 6) ← distribute both parenthesis

= x² - 6x - 6x + 36 ← collect like terms

= x² - 12x + 36

Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek

Answers

Answer:

3-7×14 1294

6.-40

Step-by-step explanation:

mark me as brainliest

slope m=-2, point: (4,3)​

Answers

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest

Answer:

The the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Step-by-step explanation:

Given

slope = m = -2point (4, 3)

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

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

Here:

m is the slope(x₁, y₁) is the point

substituting the values m = -2 and the point (4, 3) in the point-slope form

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

[tex]y-3 = -2 (x-4)[/tex]

Thus, the the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

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

so writing the equation in the slope-intercept form

[tex]y-3 = -2 (x-4)[/tex]

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

[tex]y=-2x+11[/tex]

Find f(-2)for f(x)-3 . 2^x

Answers

B. 3/4 is the correct answer
Answer:

Yes B is correct

Explanation:

After you simplify the expression, the exact form is 3/4

A group of students were in a disagreement about how to solve for x in the figure.
Which method could be used to solve?
x
12
30%

Answers

Answer:

C.using sin(30⁰).

because A=sin 30⁰bh

Hey! Help me with this Question Please!

Answers

Answer:

c

Step-by-step explanation:

beacuse if you multiply all

Answer:

C

Step-by-step explanation :

The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x^2 + 3x + 8x + 24 =

= x^2 + 11x + 24

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