What value of x is in the solution set of
[tex]3(x - 4) \geqslant 5x + 2[/tex]
A. -10
B. -5
C. 5
D. 10​

Answers

Answer 1

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.


Related Questions

225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.​

Answers

(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

9x=171

         X=19

4x19=76        5x19= 95         1.31578.....x19= 25

What is the volume of the cylinder to the nearest whole number?

Answers

Answer:

[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]

What is the slope of the line? What is the y-intercept of the line? y = -3x + 4

Answers

Answer:

slope= -3/1

y-intercept= 4

Answer:

m = -3

y intercept = 4

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = -3x+4[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

m is slope c is y intercept

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = -3 [/tex]

[tex]\implies y - intercept= 4 [/tex]

. It is known that the glucose level in blood of diabetic persons follows a normal distribution model with mean 106 mg/100 ml and standard deviation 8 mg/100 ml. a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml. b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?

Answers

Answer:

a. 0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.

b. 0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 106 mg/100 ml and standard deviation 8 mg/100 ml

This means that [tex]\mu = 106, \sigma = 8[/tex]

a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml.

This is the p-value of Z when X = 120. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 106}{8}[/tex]

[tex]Z = 1.75[/tex]

[tex]Z = 1.75[/tex] has a p-value of 0.9599

0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.

b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?

The proportion is the p-value of Z when X = 120 subtracted by the p-value of Z when X = 90. So

X = 120

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 106}{8}[/tex]

[tex]Z = 1.75[/tex]

[tex]Z = 1.75[/tex] has a p-value of 0.9599

X = 90

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 106}{8}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.9599 - 0.0228 = 0.9371

0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.

Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}

Answers

Answer:

[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]

Step-by-step explanation:

Given

[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]

[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]

[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]

[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]

Required

Which is not a function

An ordered pair is represented as:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]

However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)

From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.

use r =27 & x =3

[tex]-\frac{r}{9}+ 5x[/tex]

Answers

Answer:

12

Step-by-step explanation:

First substitute the equation with the variable replacements given:

-r/9 + 5x <--- Before

-27/9 + 5(3) <--- After

Next Solve the parts of the Equation

-27/9 + 5(3)

-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.

= 12 <--- 15 - 3 = 12.

I hope this helps!

Answer:

12

Step-by-step explanation:

[tex]-\frac{27}{9}+5(3)[/tex]

- 3 + 15

15 - 3

12

Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?

Answers

Answer: The amount of salat received by each guest is 0.25 kg

Step-by-step explanation:

We are given:

Mass of the fruit salad prepared = 4 kg

Total number of guests = 16

As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.

Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]

Hence, the amount of salat received by each guest is 0.25 kg

true or false? A circle could be circumscribed about the quadrilateral below.

Answers

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse

Answers

Answer:

A

Step-by-step explanation:

Because 113 %45*45 that gives you isosceles

Answer:isosceles and right.

Step-by-step explanation:

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Line Graph: (no. 6-10) 5

Answers

so what is the questionnnnn

álgebra 1 solve
0.1 + 0.008 = 0.06 − 0.172

Answers

Answer:

x = -4.5

Step-by-step explanation:

Given:

0.1x + 0.008 = 0.06x − 0.172

Collect like terms

0.1x - 0.06x = -0.172 - 0.008

0.04x = - 0.18

x = -0.18/0.04

x = -4.5

Check:

0.1x + 0.008 = 0.06x − 0.172

0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172

- 0.45 + 0.008 = -0.27 - 0.172

-0.442 = -0.442

What is value of x?



Enter your answer in the box.

Answers

the answer for x is 9

step-by-step

find perimeter of the triangle
2x + x = -5 + 8 + 10 + 14
3x = 27
x = 27/3
x = 9

The sum of a number and nine is fifteen

Write an equation to represent the sentence

Answers

Answer:

x+9=15

Step-by-step explanation:

a number plus 9 is fifteen

let x represent the unknown number

x+9=15

:) ur welcome

hope this helped

Ah what is the length of XB? I really need to learn how to solve this

Answers

Answer:

5.28

Step-by-step explanation:

we use the formula

H²=B²+P²

and we will get the answer

branliest if it is helpful

Answer:

Angle BXY

using pythogoras theory which is

hyp*2= opp*2 +adj*2

hypothenus being the longest part of the angle BX=?

Step-by-step explanation:

hyp= 4.2*2+ 3.2*2

hyp*2 =17.64 + 10.24

hyp*2 = 27.88

hyp =√27.88

hyp=5.28...Ans

note *2...square

The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?​

Answers

Answer:

28units consumed in month

Step-by-step explanation:

20unit=20×3=60rs

now service charge +60rs=110

similary total paid=166

now 166-110=56

and 56/7=8unit

since total unit=28unit

Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units

Answers

Answer:

A. 96.0 square units

Step-by-step explanation:

The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:

A = ½*a*b*Sin C

Where,

a = 13

b = 15

C = 80°

Plug in the values into the formula

A = ½*13*15*Sin 80

A = 96.0187559

A = 96.0 square units (nearest tenth)

Answer:A

Step-by-step explanation: I took the test

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?

Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answers

Given:

The given expression is:

[tex](-4x+9)^2[/tex]

According to Kylie,

[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]

[tex](-4x+9)^2=16x^2+81[/tex]

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

[tex](-4x+9)^2[/tex]

According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].

[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]

[tex](-4x+9)^2=16x^2-72x+81[/tex]

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Step-by-step explanation:

car travels at an average speed of 40 km/h for 0.5 hours.
How far did the car travel in km?

Answers

Given :-

A car travels at an average speed of 40 km/h for 0.5 hours.

To Find :-

The distance travelled.

Solution :-

We know that ,

→ Distance = Speed × Time

So that ,

→ Distance = 40 km/hr × 0.5 hr

→ Distance = 40km/hr × 1/2 hr

→ Distance = 20km .

Hence the required answer is 20km .

There are 2 boys for every 3 girls in Mrs. Sorrentino's class. If there are 30 students in the class, what percentage are boys?

A:20
B:25
C:30
D:33
E:40

Answers

The percentage would be 40%
E: 40 percent. Two out of every five students are boys, so percent wise, 40 percent are boys.

Lines L and M are parallel.

Help I’ll make u brainliest if it’s right!!

Answers

Answer:

3 = 142°

Step-by-step explanation:

L // M

∠2 = 38°    {Corresponding angles are congruent}

∠2 + ∠3 = 180   {Linear pair}

38 + ∠3 = 180

       ∠3 = 180 - 38

3 = 142°

the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38

11t - 6t = 45 solve the equation and enter the value of t below ​

Answers

Answer:

[tex]t = 9[/tex]

Step-by-step explanation:

[tex]11t - 6t = 45[/tex]

[tex]5t = 45[/tex]

[tex]t = \frac{45}{5} [/tex]

[tex]t = 9[/tex]

Hope it is helpful....

Hey there!

[tex]\large\textsf{11t - 6t = 45}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]

[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]

[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]

[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]

[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

2

Step-by-step explanation:

x coordinate = 2, y coordinate = 4.
(2,4)

which expression is equivalent to 100 + 20

Answers

Answer:

20(5+1) is equivalent to 100 + 20

Answer: 20 (5 + 1)

Step-by-step explanation: 20 x 5 = 100

                                             20 x 1 = 20

hopefully that helped :)

can someone help me to solve this question. the questions is about to calculate the value of x . please help me thankyou​

Answers

Answer:

180-(63+63)

=180-126

=54

180-(37+90)

180-127

53

180-(54+53)

=180-107

=73°

Answer:

Step-by-step explanation:

AC = AD So,  Δ ACD is as isosceles triangle.

∠ADC ≅∠ACD = 63°

In ΔACD ,

    63 + 63 + ∠DAC = 180   {Angle sum property of triangle}

            126 + ∠DAC = 180

                     ∠DAC = 180- 126

                     ∠DAC = 54°

In ΔABC,

90+ 37 + ∠CAB = 180

        127 + ∠CAB = 180

                 ∠CAB = 180 - 127

                 ∠CAB = 53

∠EAD + ∠DAC + ∠CAB = 180   {Straight line angles}

x + 54  + 53 = 180

        x + 107  = 180

                  x = 180 -107

x = 73°

     

Fifty seven thousand nine hundred and eight

Answers

Answer:

Fifty seven thousand nine hundred and eight

57908

The answer is 57908 ….

A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?

A. $65,280
B. $68,000
C. $5,440
D. $67,200

Answers

Answer:

Option A, $65,280

Step-by-step explanation:

The volume of the tank is,

12×20×15+40×(50-15)×12

= 3600+16800

=20400 cubic meters

For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,

20400×$3.20

= $65,280

Answered by GAUTHMATH

Can some help me with this question?

Answers

I believe your answer would be B. because when it’s at year 0 it’s at 5, which is the y intercept. so it makes sense for it to answer B. sorry if i’m wrong but i hope it helps!

Answer:

B.

Step-by-step explanation:

f(t) = 5 * 2^t

At the y-intercept, t = 0.

f(0) = 5 * 2^0

f(0) = 5 * 1

f(0) = 5

At time = 0, the coin is worth $5.

The value of the y-intercept is the value of the coin at time = 0, which is when the coin was purchased.

Answer: B.

pls help me i’m so stuck

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across y = -x, coordinates of the image point will be,

(x, y)→ (-y, -x)

Following this rule,

Vertices of the triangle will be,

(3, 1) → (-1, -3)

(3, -2) → (2, -3)

(6, -3) → (3, -6)

Therefore, image of the given triangle A will be,

(-1, -3), (2, -3) and (3, -6)

Instructions: Find the measure of

Answers

Answer:

93

Step-by-step explanation:

Add the two angles 48 and 39 =87. 180-87=93

Anybody please help me with question 3-5, thank you so much!!! You are a life saver :))))

Answers

Answer:

3) 109.27

4) 58.80

5) 48.65

Step-by-step explanation:

First divide the cost by the number of units to get the individual cost of each item.

Then multiply by the new number of units.

For example:  78.05 ÷ 5 = 15.61 for each.

                       15.61 x 7 = 109.27

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