Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?

Answer:

4x-6

Step-by-step explanation:

x+x+10+2x-16​

Combine like terms

x+x+2x     +10-16

4x   -6

4x-6

Answer:

[tex]4x - 6[/tex]

Step-by-step explanation:

[tex]x + x + 10 + 2x - 16[/tex]

combine like terms

[tex]x + x + 2x + 10 - 16 \\ 2x + 2x - 6 \\ = 4x - 6[/tex]

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Answer:

b

Step-by-step explanation:

The number that should be added to the equation is n = ( 3/2 )²

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

To complete the square for the quadratic equation x^2 + 3x = 6, we need to add a constant term to both sides that will make the left-hand side a perfect square trinomial

First, we need to find the coefficient of the x-term, which is 3. Then we take half of this coefficient, which is 3/2, and square it, giving us 9/4.

To complete the square, we add this value to both sides of the equation:

x² + 3x + 9/4 = 6 + 9/4

The left-hand side can now be factored as a perfect square trinomial:

(x + 3/2)² = 33/4

To solve for x, we take the square root of both sides:

x + 3/2 = ±√(33/4)

x = -3/2 ± (1/2)√33

Hence , the number we need to add to both sides of the equation to complete the square is 9/4

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Answer:

The cashier received 100 envelopes

Step-by-step explanation:

let the number of stamps bought be x.

Cashier will receive 1/3 *x = x/3

Secretary will receive = 1/5 * x = x/5

Now we are told that the secretary received 40 fewer.

This means that the difference between the amounts they received is 40

Mathematically;

x/3 - x/5 = 40

2x/15 = 40

x = (15 * 40)/2 = 600/2 = 300

The cashier received x/3 = 300/3 = 100

Answer:

Cashier received 100 stamps

Step-by-step explanation:

1/3 to cashier

1/5 to secretary

Total stamps=x

Cashier=(1/3)x

Secretary=(1/5)x

Secretary received 40 fewer stamps than the cashier

Difference between cashier and secretary share=40

1/3x-1/5x=40

(2/15)x=40

40×15=2x

600=2x

x=300

Cashier=(1/3)x

=(1/3)300

=100

Answer:

c

Step-by-step explanation:

Its wouldn't be A since there are numbers bigger than 20 B is not correct since it said 25 people that did not buy any clothes so you would not get a good opinion its not D because out of the 40 people some could have not bought anything from the store. Its C because its the biggest number of people that actually shopped and got things from that store

Answer:

Answer:

c. Thirty randomly selected customers who shopped at the clothing store.

Step-by-step explanation:

Answer:

y=(4d-8)/(3-c)

Step-by-step explanation:

Answer:

The possible value of X are;

15, 30, 45, 60 etc

Step-by-step explanation:

The parameters given are

Number of chocolates Tanmay had = X

Number of chocolates Tanmay gave to Akash = 1/3 × X

Number of chocolates Tanmay gave to Sharad = 1/5 × X

Whereby 3 and 5 are factors of X, therefore;

3 × 5 = 15 is the lowest single factor of X

The possible values of X starting from the lowest factor are given as follows;

15 × 1 = 15

15 × 2 = 30

15 × 3 = 45

15 × 4 = 60

Hence, the possible value of X are the arithmetic progression a + (n - 1)×d

Where:

a = 15

n = 1, 2, 3, 4, ...

d = 15

Which includes;

15, 30, 45, 60

Answer:

$2800

Step-by-step explanation:

First divide $4800 by 3 which will give you $1600 which is the price for 2 cars and 1 truck.

= [tex]\frac{4800}{3} = $1600[/tex]

Next, subtract the $1600, which is the price of 2 cars and 1 truck  from $4600, which is the price of 8 cars and 1 truck giving you the price of 6 cars.

$4600 - $1600 = $3000

Now divide the $3000, the price of six cars, by three to get the price of 2 cars.

[tex]\frac{3000}{3} = $1000[/tex]

Lastly, multiply the $1000 by 2 to get the price of 4 cars. Then subtract this $2000, the price of 4 cars from the $4800, the price of 6 cars and three trucks to give you the price of 2 cars and 3 trucks.

$4800 - $1000 = $2800

Answer: 4

Step-by-step explanation:

Since AB and CD are perpendicular lines, you know that they make 90° angles. Perpendicular lines make a t or + shape. Since it is 2 lines, you know there will be 4, 90° angles, to make up a full 360°.

Answer:

The answer is in the picture

Answer: 1/6

Step-by-step explanation:

Two fair dice is rolled once,

To win sum of the two dice should equal 10 or more

To get a sum equal 10 or more,

The total possible outcome when two dice is rolled once = 6^2 = 36

Sample space is attached below

Total required outcome to win (probability of having a sum of 10 or more)

n(sum of 10 or more) = 6

Therefore, probability of winning equals :

P(winning) = (Total required outcome / Total possible outcomes)

P(winning) = n(sum of 10 or more) / total possible outcomes

P(winning) = 6/36 = 1/6

two million four hundred seventy thousand

Answer:

3x-526

Step-by-step explanation:

the 3x would go in the beginning. then you subtract (-4-522)= -526.

Answer:

(n-m)/m * 100%

Step-by-step explanation:

The original amount is m

The new amount is n

Take the new amount and subtract the original amount

(n-m)

Divide by the original amount

(n-m)/m

Multiply by 100 %

(n-m)/m * 100%

Answer:

(n-m)/m*100

Step-by-step explanation

trust me its the answer i checked with rsm math homework and it was correct

Answer:

  not similar

Step-by-step explanation:

SAS similarity could be used if corresponding sides were proportional. They're not.

  36/26 ≠ 16/12

The triangles are not similar.

Answer:  Simplify the expression.

12x+6

Step-by-step explanation:

your answer is 12x+6

Answer:

One solution was found :

                  x = 18

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Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/12-(6/x)=0

Step by step solution :

Step  1  :

           6

Simplify   —

           x

Equation at the end of step  1  :

  4    6

 —— -  —  = 0

 12    x

Step  2  :

           1

Simplify   —

           3

Equation at the end of step  2  :

 1    6

 — -  —  = 0

 3    x

Answer:

a = -3

b = 5

Step-by-step explanation:

[tex]\frac{10-\sqrt{18}}{\sqrt{2}}[/tex]

Simplify the square root of 18.

[tex]\frac{10-3\sqrt{2}}{\sqrt{2}}[/tex]

Rationalize the fraction.

[tex]\frac{\left(10-3\sqrt{2}\right)\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]

[tex]\frac{2\left(5\sqrt{2}-3\right)}{2}[/tex]

[tex]5\sqrt{2}-3[/tex]

Rewrite the answer in the form a+b√2.

[tex]-3 + 5\sqrt{2}[/tex]

The given form of expression a + b √2 where a and b are integers then the values of a and b are -3 and 5.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

[tex]\frac{10 -\sqrt18} {\sqrt 2}= a + b \sqrt 2[/tex]

Simplify the square root of 18 then Rationalize the fraction,

[tex]\\\frac{10 -3\sqrt2} {\sqrt 2}\\\\\frac{(10 -3\sqrt2) \times \sqrt{2} } {\sqrt 2 \sqrt 2}\\\\\frac{ 2(5\sqrt2 -3) } { 2}\\\\(5\sqrt2 -3)[/tex]

Thus, the values of a and b are -3 and 5.

Learn more about factors;

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Answer:

Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds

Step-by-step explanation:

Travel of a fishing lure has been given by the expression,

h = -16t + 24t + 4

where h = height of the fishing lure

t = time or duration of travel

Height traveled by the fishing lure = 12 - 4 = 8 feet

For h = 8 feet,

8 = -16t² + 24t + 4

-16t² + 24t + 4 - 8 = 0

16t² - 24t + 4 = 0

4t² - 6t + 1 = 0

t = [tex]\frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}[/tex]

 = [tex]\frac{6\pm\sqrt{36-16}}{8}[/tex]

 = [tex]\frac{6\pm\sqrt{20}}{8}[/tex]

 = [tex]\frac{6\pm2\sqrt{5}}{8}[/tex]

 = 1.31, 0.19 seconds

Step-by-step explanation:

If n represents the number, then you get;

n(13-6) or n(7) or n * 7

Answer:

Step-by-step explanation:

6 + x/2 >= -4

x/2 >= -10

x >= -20

solution is b

Answer:

7 in.

Step-by-step explanation:

When 7 in. is used this is what happens

2(7) + 2(w) = 16 in.

14 + 2w = 16 in.

Because the 7 in. option leaves room for the value of the width unlike the others.

Answer: 7 inches

Step-by-step explanation:

I took the test on this and scored 100%

Answer:

The area of the surface of the water is approximately 254 square inches.

Step-by-step explanation:

When the bowl of the birdbath is full, the top surface area of the water is equal to the area of the circumference that contours the bowl, therefore in order to calculate its area we need to apply the following formula:

[tex]area = \pi*r^2\\r = \frac{d}{2} = \frac{18}{2} = 9 \text{ in}\\area = 3.14159*(9)^2 = 254.46879 \text{ in}^2[/tex]

The area of the surface of the water is approximately 254 square inches.

Answer:

1/6

Step-by-step explanation:

In a game of "Rock, Paper, Scissors", there are three possibilities. The probability that Marilyn will get Paper is given as

1/3

In a coin flip, the probability that it will land on tails is

1/2

Therefore, the probability that she will win if she predicts "Paper" and calls Tails is the product of the individual probabilities:

1/3 * 1/2 = 1/6

Answer: See below

Step-by-step explanation:

In scientific notation, you can tell that it is greater or less than 1 by looking at the exponent. The scientific notation looks like _.__×10⁻. Note: The little lines are blanks for you to fill in. The dot at the bottom is a decimal.

If the exponent on top of 10 is positive, you are moving the decimal to the right side, making the number greater.

If the exponent on top of 10 is negative, you are moving the decimal to the left side, making it smaller and smaller.

By those statements, you can tell if a number is greater or less than 1 by looking at the exponent.

Answer:

They were allotted 2725.44 meters² of land.

Step-by-step explanation:

Well a member of the Alden family gets 16.7 meters×40.8 meters or 681.36 meters². Now since there are 4 of them, we multiply how much land one Alden family gets by 4 members.

681.36 m²×4 people = 2725.44 meters²

Answer:

2,725.44 square meters

Step-by-step explanation:

We can do all of the necessary math at once:

(16.7 m)(40.8 m)(4 persons) = 2,725.44 square meters

Answer:

17 cm²

Step-by-step explanation:

First I cut this figure into 2 rectangles. One big and small one. (the big one is on top of the small rectangle).

For the big rectangle, I multiplied its length by its width.

The area of the big rectangle: 3cm * 5cm = 15cm²

For the smaller rectangle, I also multiplied its length and width.

The area of the small rectangle: 1cm * 2 cm = 2cm²

Add up its areas: 15+2

To get 17cm² as your final answer

Answer:

it should be (5,4)

Step-by-step explanation:

♊♊♊

Answer:

A would be reflected across to (5,-4), so, the bottom answer.

Step-by-step explanation:

For reflections across an axis, all I really do is count how many units a point is from the axis you are reflecting across, and then count the many on the other side of the axis. On this problem, A was 4 units above the x-axis, and 5 from the y-axis. I just counted 8 units down, or, 4 units down from the x-axis, and since I didn't change where my point was on the y-axis, it landed on the point (5,-4).

Using sampling concepts, the representative sample is given as follows:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

More can be learned about sampling concepts at https://brainly.com/question/25122507

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Answer:

C

Step-by-step explanation:

The best way to find x is to plug in all the answer choices and see if they equal 5

lets start with A

18+13=5

31=5 which is incorrect

Let do B

-18+13=5

-5=5 which is incorrect

Lets do C

-8+13=5

5=5 which is correct!

Lets do D

8+13=5

21=5 which is incorrect

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Answer:

The answer is (C) -8

Step-by-step explanation

x = -8

-8 + 13 = 5

It is basically like subtraction..

You subtract the 13 from the 8 even though its backwards.

-8 + 13 = 5