Solve the following inequality. 21 ≤ -3(x − 4) < 30 A. 28 ≤ x < 37 B. -10 < x ≤ -3 C. -6 < x ≤ -3 D. -3 ≤ x < 6

Answers

Answer 1

Step-by-step explanation:

21 ≤ -3(x − 4) < 30

=> devided by (-3)

-7 ≥ x-4 > -10

=> added by 4

-3 ≥ x > -6

the result : -6 < x -3 (option C)


Related Questions

Find the area of each figure

Answers

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

What is the area of a rectangle?

The area of a rectangle is,

[tex]A=length\times width.[/tex]

What is the area of triangle?

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

To learn more about the area visit:

https://brainly.com/question/3948796

HELP ME I'LL MARK AS BRAINEST PLZ HELP ME!!! (=0)

Answers

Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

8/23. Sana po makatulong

Evaluate the expression 33.15/n n=1.5

Answers

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

HELP ME OUT PLEASE....

Answers

The answer is letter C

You are examining your choices of banks to open a new checking account. Potential costs include monthly maintenance fees, statement copy fees, and ___________.

Answers

overdraft fees is your answer

Answer:

overdraft fees is your answer

Step-by-step explanation:

can you guys help please

Answers

The answer is: 36 π square units

Explanation:

The Area of a circle is πr ²

A = π (6) ²

6 ² =36

Therefore the answer is 36 π

What is the volume of the pyramid? Show all work.

Answers

8x4x6 / 3 = 64

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height. Where Ab = area of the polygonal base and h = height of the pyramid.
LxWxH/3

3. What is the value of x?
A.36
B.32
C.12
D.28

Answers

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

How do I solve this?​

Answers

What you do is you use the x and y and turn them into coordinate points and put them on the graph. The points would be…

(-2, 1)
(0,-1)
(2, -3)

I hope this helped!

Find the value of x. Show work

Answers

Answer:

b) 8

Step-by-step explanation:

6x+(5x+2)=90

11x+2=90

11x=88

x=8

:)

8. Plug 8 in for each and make sure it equals 90*

Help with my mathhhhh

Answers

Answer:

See the image below for the answer:)

Step-by-step explanation:

A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.

Answers

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%

(a) The confidence interval of a percentage is given as follows;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

The z-value for 95% confidence interval = 1.96

We get;

[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]

CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67

The 95% confidence interval is therefore;

[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]

From which we have;

CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)

Simplify the expression: 16x - (3x + 9) + 17

Answers

Step-by-step explanation:

16x -(3x + 9) + 17

16x -3x -9 +17

13x + 8

new community center. How I Find the prime factorization of the number 24​

Answers

Answer:

2*2*2*3

or

2^3   * 3

Step-by-step explanation:

24 = 4*6

But 4 and 6 aren't prime

24 = 4*6 = (2*2)  * (2*3)

All these numbers are prime

24 = 2*2*2*3  or with exponents  = 2^3   * 3

Explain how to check if two or more ratios are a proportion

Answers

Answer:

¿Cómo comprobar que las razones son proporcionales? ,5

Step-by-step explanation:

Para comprobar si dos o más razones son proporcionales se aplica la propiedad fundamental de las proporciones. 1 * 4 = 1 2 2 4 4 = 4 1 2 3 6 1 * 6 = 6 = 6 = = ? ? 1 2 0,5 1 = Así se concluye que las tres razones son proporcionales. 1 * 1 = 1 = 1 1ra forma. 2 * 2 2 * 3 ? 2 * 0,5

helppppppp pleaseeee f/4 - 5 = -9

Answers

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..??? ​

Answers

If you want it to be 1/2 then you would have to color in another part, but if you want it to be 1/4 then that’s what you drew and you would have to change the denominator to a 4.

I hope this helped.

Can someone help me solve question 2 and 3?

Answers

Answer:

Question 2 = 15 drinks

Question 3 = 7/12

Step-by-step explanation:

Question 2:

For every drink, there are three sizes

Ratio = 1:3

There are 5 flavors

Multiply each side by 5

5:15

15 drinks

Question 3:

5 red, 6 yellow, 8 blue, 3 orange, 2 purple

Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes

Favourable outcomes = 6 + 8 = 14 favourable outcomes

Fraction = 14/24 = 7/12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Evaluate.
(-5)3 =
this is needed fast pls

Answers

Answer:

The answer is -15

Step-by-step explanation:

(-5)3 is the same as -5 × 3

Answer:

The answer is -15

-5 x 3 = -15

What is x? Please help quickly!

Answers

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The correct answer is 45 square yards.

Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:

plz help me I beg you

Answers

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

A.) A family spends an average of $3000 on a local vacation, how much money was spent on gas? Gas 4%

Answers

divide 3000 by 100. multiply. that by your percentage (4%)

3000 ÷ 100 = 30. 30 x 4 = 120$

Can i have some help please best answer gets brainiest!

Answers

Answer:

a=35

Step-by-step explanation:

5x35=175, and 175 divided by 7 is 25 :)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: 5a \: = 25 \times 7[/tex]

➺[tex] \: 5a = 175[/tex]

➺[tex] \: a = \frac{175}{5} [/tex]

➺[tex] \: a = 35[/tex]

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]

➺[tex] \: \frac{175}{7} = 25[/tex]

➺[tex] \: 25 = 25[/tex]

➺[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?

Answers

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

what is the algebraic expression for 11 times a number x, minus a second number y ?​

Answers

Answer:1

Step-by-step explanation:

twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.

11x - y is the answer, if you need more help lmk!

One of two complementary angles is 35° larger than the other. What is the measure of both angles?​

Answers

Answer:

Since the two angles are complementary, they add up to 90...

If we call the first one x, then the other must be 90-x...

Since they are 35 different, we write

x = (90 - x) + 35

now solve, and get

x = 90 - x + 35

x = -x + 125

2x = 125

x = 62.5 deg

the other must be

90 - 62.5 = 27.5 deg

José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event?
A.
H-H, H-T, T-H
B.
H-H, H-T, T-T, T-H
C.
H-T, T-H
D.
H-H, T-H, T-T

Answers

Answer:

I think it is D. because it is theoretical

A square that has a side measurement of 7 inches has an area of: *

14 inches
49 inches
49 square inches
7 square inches

Answers

Answer:

49 square inches

Step-by-step explanation:

area of a square = l * l

a = 7 * 7

a = 49 square inches

49 square inches is the answer
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