Solve this inequality. 8x + 6 < 54

Answers

Answer 1

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 6

Interval Notation:

( − ∞ , 6 )

Answer 2

Answer:

Inequality:8x+6<54

Do minus 6 on each side:8x<54

Now do divided by 8 on each side:x=6.75

Step-by-step explanation:


Related Questions

Which of the fractions is equivalent to 2/3

Answers

Answer:

4/6

6/9

12/18

8/12

5/10

Step-by-step explanation:,,

Answer:

The answers are 4/6 and 6/9.

Step-by-step explanation:

Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account​

Answers

Answer:

$4.26

Step-by-step explanation:

I need help in this question. I am not understanding what it is telling me so HELP

Answers

Answer: You solve it its easy subtraction :)

Step-by-step explanation:

$14,000 - $5,358 - $2,834 - $4,132 = answer

A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.

The height of the prism is _____ inches,square inches,cubic inches

Answers

Answer:

I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!

Answer:

The answer is 7 square in

Step-by-step explanation:

Do this formula

V=Bh

105=15h

h=7 square in

For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors

Answers

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

how to graph an inequality y<1-2x

Answers

Answer:

Step-by-step explanation:

Solve for x....................................

Answers

Answer:

x = 4.5 is the answer to the question

A car company is testing how well its cars handle skidding to a complete stop after hitting the brakes while going at different speeds on an asphalt road. The equation represents the car’s speed, in miles/hour, when the brakes are applied as a function of the distance, in feet, the car skids. The table of values represents the function S(D). Use the table of values to calculate the average rate of change between the given intervals. Then interpret what the average rate of change means in this context.

Answers

Answer:

D          SD= sqrt(22.5D)   Average Rate of Change            

47                       32.52  

50                       33.5                                            0.34

56                       35.50                                   0.33

60                       36.74                                   0.31

62                       37.35                                          0.305

65                       38.24                                   0.3

In the context of this problem, the average rate of change is the rate at which the car decelerates as it skids. As the distance that the car skids increases, the rate at which the car decelerates decreases at a gradual rate.

Step-by-step explanation:

Where does the graph of cosine begin?

Answers

Answer:

Step-by-step explanation:

Cosine starts at 1 and then goes down till 180 degrees and then goes up again..

Hope this helps..

what is the answer. Evalute (2/3)2. Thank you

Answers

Answer:

4/3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]

have a nice day

A restaurant noted what type of food its customers purchased last week.Here are the results

Answers

Answer:

There is no link to the results/question.

A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96

Answers

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]

([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Tyson has two movie tickets and wants to randomly select one of six friends to go with him. He rolls a six-sided die to make his decision. He tested this model 60 times and recorded the results in this table.

Result of Roll Times Result Occurred
1 - 11
1 - 0.18
2 - 9
2 - 0.15
3 - 9
3 - 0.15
4 - 10
4 - 0.17
5 - 11
5 - 0.18
6 - 10
6 - 0.17
Do you think the relative frequency from the experiment is a good predictor of the theoretical probability? Why or why not?

Answers

Answer:

The relative frequency of rolling a particular number can be calculated using the formula

relative frequency , where f is the actual frequency of an event and n is the number of times the experiment is performed. This experiment had the following results:

The relative frequency of rolling a 1 is 0.2.

The relative frequency of rolling a 2 is about 0.23.

The relative frequency of rolling a 3 is about 0.13.

The relative frequency of rolling a 4 is 0.15.

The relative frequency of rolling a 5 is 0.15.

The relative frequency of rolling a 6 is about 0.13.

The relative frequencies of rolling 1, 2, 3, 4, 5, and 6 are quite similar. So, the relative frequency is a good predictor of the theoretical probability.

Step-by-step explanation:

this is exact answer from edmentum so change it up a bit

you guy have any song requests?


Answers

Answer:

Never want to give you up

Step-by-step explanation:

Brainliest? pls

Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky

My ordinary life

SoFaygo - Knock Knock

Streets

D !ck

The probability that Scott will win his next tennis match is 3/5


​What is the probability that he will not win?

Answers

Answer:

the probability that he will not win is 2/5 cause it's just the chance that he doesn't win

Find the common difference of the arithmetic sequence -7, -1, 5, ...

Answers

Answer:

d = -6

Step-by-step explanation:

common difference, d = -7-(-1) = -6

2. Select all expressions that can be subtracted from 9x to result in the expression
3x + 5.
A. -5 + 6x
B) 5 – 6x
С.) 6х +5
D. 6x - 5
E. -6x + 5.

Answers

Answer:

D. 6x-5

Step-by-step explanation:

I am not actually 100% but subtracting 6x from 9x will give you 3x and subtracting -5 will give you +5... SOOO. cross your fingers. lol

i need help with these 2 questions.

Answers

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

Helppppp pleaseeee xxxxx

Answers

Answer:

a. 28π m²

b. 44π m²

Step-by-step explanation:

a. Lateral surface of the cone = πrl

Where,

r = 4 m

l = 7 m

Lateral surface area = π*4*7 = 28π m²

b. Surface area of cone = πr(l + r)

r = 4 m

l = 7 m

Surface area = π*4(7 + 4)

= 4π(11)

= 44π m²

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

864 inches cubed

Step-by-step explanation:

Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.

"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"

Answers

Answer:

B

Step-by-step explanation:

Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión​

Answers

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

¿Cómo hallar la altitud del avión con respecto al suelo?

A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:

[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex]     (1)

Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:

h = r₁ · sin 40°     (2)

h = (451.589 m) · sin 40°

h ≈ 290.276 m

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

Para aprender más sobre relaciones trigonométricas: https://brainly.com/question/22962732

#SPJ1

Find mZECD
E
D
C С
31°
A
B
PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Angle ECD is 118°, let me know if you need an explanation or just wanted the answer

a study of the effects of exercis used rats bred to have high or low capacity for exercise. The 8 high capacity rats had mean blood pressure 89 mm Hg and variance 81; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169. What is the value of the two-sample t statistic for comapring the two population means

Answers

Answer:

[tex]t=-2.86[/tex]

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n_1=8[/tex]

Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]

Sample 1 variance [tex]\sigma_1=81[/tex]

Sample 2 [tex]n_2=8[/tex]

Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]

Sample 2 variance [tex]\sigma_2=169[/tex]

Generally the equation for the test of statistic is mathematically given by

[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]

[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]

[tex]t=-2.86[/tex]

therefore the samples test for comparing the two population means

[tex]t=-2.86[/tex]

Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
The profit for one medium cake is twice the profit for one small cake.
The profit for one large cake is three times the profit for one small cake.
Her total profit is £532.48
Work out the profit for one small cake

Answers

Answer:

S = £1.28

Step-by-step explanation:

Let the small, medium and large cakes be S, M and L respectively.

Given the following data;

Total profits = £532.48

Total number of cake = 192 cakes

Ratio of S:M:L = 7:6:11

Sum of ratio = 7+6+11 = 24

To find number of each cakes, we would divide the total number of cakes by the sum of ratio;

Number of each cakes = 192/24

Number of each cakes = 8

Next, we determine the exact number of each type of cakes.

Small = 7*8 = 56 cakes.

Medium = 6*8 = 48 cakes.

Large = 11*8 = 88 cakes.

For the profits;

Translating the word problem into an algebraic expression, we have;

M = 2S

L = 3S

56S + 48*(2S) + 88*(3S) = £532.48

56S + 96S + 264S = 532.48

416S = 532.48

S = 532.48/416

S = £1.28

Therefore, the profit for one small cake is £1.28

Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!

Answers

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

2^2+6^2=x^2

4+36=x^2

40=x^2

[tex]\sqrt{40}=x[/tex]

[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]

Hope that helps :)

Answer:

sqrt(40) or approx. 6.324555

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean Theorem)

6 is a, 2 is b, and x is c, or the hypotenuse.

Plug in the values

6^2 + 2^2 = x^2

Simplify

36 + 4 = x^2

40 = x^2

Square root both sides

sqrt(40) = x

Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?

Answers

Answer:

5/12 cup of water per plant

Type the correct answer in each box.
50°
60°
709
х
50°
The value of xis
°, and the value of y is

Answers

Answer:

x = 60°

y = 50°

Step-by-step explanation:

✔️x + 50° + 70° = 180° (sum of a triangle)

x + 120° = 180°

Subtract 120° from each side

x = 180° - 120°

x = 60°

✔️50° + 60° = x + y (exterior angle theorem of a triangle)

110° = x + y

Plug in the value of x

110° = 60° + y

Subtract 60° from each side

110° - 60° = y

50° = y

y = 50°

Does anyone know this please help

Answers

Answer:

b.12/25

c.4/15

d.8/15

e.6/12

2a.15/24=5/8

b.20/40=1/2

What is 97,000 in scientific notation?

Answers

Answer:

9.7 * 10 to power of 4

Step-by-step explanation:

Answer:

Don't know the meaning of this question

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