which values are in the solution set of |x| = 3

a.) x < 3
b.) x > 3
c.) x = -3
d.) x = 0

this is written as

[tex]2n + 7 \geqslant 27[/tex]

change the greater than or equal to sign to equal to in order to solve it

thus

[tex]2n + 7 = 27[/tex]

[tex]2n = 27 - 7[/tex]

[tex]2n = 20[/tex]

dividing through by 2

[tex] \frac{2n}{2} = \frac{20}{2} [/tex]

[tex]n = 10[/tex]

{[tex]{n:n \geqslant 10}[/tex]}

Answer:

Part 1) x=8

Part 2)  m∠RSU=133°

Part 3) m∠UST=47°

Part 4) m∠WSV=43°

Part 5) m∠VSU=137°

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1) Find the value of x

we know that

m∠RSU and m∠UST are supplementary angles (by linear pair)

so

m∠RSU+m∠UST=180°

we have

m∠RSU=(17x-3)°

m∠UST=(6x-1)°

substitute the given values and solve for x

[tex](17x-3)\°+(6x-1)\°=180\°[/tex]

[tex](23x-4)=180[/tex]

[tex]23x=180+4[/tex]

[tex]23x=184[/tex]

[tex]x=8[/tex]

Part 2) Find the measure of m∠RSU

we have

m∠RSU=(17x-3)°

substitute the value of x

m∠RSU=17(8)-3=133°

Part 3) Find the measure of m∠UST

we have

m∠UST=(6x-1)°

substitute the value of x

m∠UST=6(8)-1=47°

Part 4) Find the measure of m∠WSV

we know that

m∠UST=m∠RSW -----> by vertical angles

so

m∠RSW=47°

m∠RSW+m∠WSV=90° ----> given problem (SV perpendicular RT)

substitute the value of m∠RSW and solve for m∠WSV

47°+m∠WSV=90°

m∠WSV=90°-47°=43°

Part 5) Find the measure of m∠VSU

we know that

m∠VSU=m∠VST+m∠UST

we have

m∠VST=90° ----> given problem (SV perpendicular RT)

m∠UST=47°

substitute

m∠VSU=90°+47°=137°

The solution to this problem requires us to set up an algebraic equation representing the given condition. After solving that equation, we discover that currently Colin is 8 years old and Bill is 29 years old.

This is a simple algebra problem dealing with ages and years. Let's define Colin's current age as 'x'. Consequently, Bill's age will be 'x + 21'. In 13 years, Colin will be 'x + 13' years old and Bill will be 'x + 21 + 13' years old.

According to the statement given, in 13 years: 'Bill's age will be twice Colin's age', this can be translated into the equation: 2*(x + 13) = x + 21 + 13. Solving this equation, we first multiply out the left side of the equation: 2x + 26 = x + 34. We can then subtract 'x' from both sides of the equation to get: x = 8.

This means that today, Colin is 8 years old. To find Bill's age, we add 21 to Colin's age, meaning Bill is 29 years old.

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Answer:

1

Step-by-step explanation:

4 is less than 5, so you round to 1 and not 2

Step-by-step explanation:

[tex] \red {\frak{Given}} \begin{cases} & \sf{Two\ consecutive\ natural\ numbers.} \\ & \sf{The\ sum\ of\ the\ numbers\ is\ {\pmb{\sf{475}}}.} \end{cases}[/tex]

We know that,

Therefore,

[tex] \sf \dashrightarrow {x\ +\ x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 475\ -\ 1} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 474} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{474}}{\cancel{2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 237.}}}}_{\sf \blue {\tiny{First\ number}}}} [/tex]

∴ Hence, the first number is 237. Now, let us find out the second number.

[tex]\rule{200}{3}[/tex]

Second NumbeR :

∴ Hence, the second number is 238.

The two consecutive numbers whose sum is 475 are 237 and 238.

Let assume the two consecutive natural numbers as x and x+1.

According to the given information,

the sum of the two consecutive numbers is 475.

So, the equation can be set up as:

x + (x+1) = 475

Combining like terms, we get:

2x + 1 = 475

Subtracting 1 from both sides, we have:

2x + 1 - 1  = 475 - 1

2x = 474

Dividing both sides by 2, we find:

x = 237

Thus, the two consecutive numbers are 237 and 238.

Learn more about Algebra here:

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Answer:

(n+3)/7

Step-by-step explanation:

Let

n -----> the unknown number

we know that

The algebraic expression of the phrase " the sum of a number and three" is equal to

(n+3) -----> number n plus number 3

so

The algebraic expression of the phrase " the sum of a number and three divided by seven" is equal to

(n+3)/7 ----> divide (n+3) by the number 7

therefore

The expression is

(n+3)/7

Sandra made it to the next level in the matching game.

Sandra needs to score at least 10 points to advance to the next level. She scores 18 points for correct matches and -6 points for incorrect matches. To determine if Sandra made it to the next level, we can add up her scores.

18 - 6 = 12 points

Sandra scored 12 points, which is greater than the required 10 points, so she made it to the next level.

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876.405, 887.053, 887.208

887.208

887.053

876.405

Hope this helps

Hey!

-------------------------------------

Solution:

Divide to get the decimal.

79 / 100 = 0.79

-------------------------------------

Answer:

0.79

-------------------------------------

Hope This Helped! Good Luck!

Answer: 0.79

Step-by-step explanation:

divide to get the decimal.

remeber, if n is two digits, n/100 = 0.n

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given

(x - 6)(x + 8) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 8 = 0 ⇒ x = - 8

Answer:

x =  -8, 6.

Step-by-step explanation:

(x– 6)(x + 8) = 0

Either factor can be zero:

x - 6 = 0 gives x = 6 and

x + 8 = 0 gives x = -8.

[tex]X \geq -2[/tex]

Answer:

Table C

If the bacteria population triples every hour, it must multiply by three each time.

Table C fits this pattern

y | 1 | 3 | 9 | 27 | 81 | 243 | 729

1×3=3, 3×3=9, 9×3=27 etc.

Answer:

91.39%.

Step-by-step explanation:

That is 276 * 100 / 302

= 91.39%.

Answer:

-12 + 34= 22 is the solution

11: 4,874 > 4,784 > 4,687

12: 8.09 > 8.057 > 8.023

13: 15.820 > 15.280 > 15.000

14: 43,628 > 40,628 > 34,628

15: 395.050 > 395.009 > 395.005

Answer: [tex]\frac{21}{16}\ cups\ of\ sugar\approx1.3\ cups\ of\ sugar[/tex]

Step-by-step explanation:

Let be "x" the cups of sugar needed for a full batch of brownies.

You need to analize the information provided in the exercise.

Since Henry uses [tex]\frac{3}{8}[/tex] cups of sugar for [tex]\frac{2}{7}[/tex] batch of brownies, you can write the following proportion:

[tex]\frac{\frac{3}{8}}{\frac{2}{7}}=\frac{x}{1}[/tex]

Finally, you must solve for "x".

Therefore, you get the following result:

[tex]x=\frac{21}{16}\ cups\approx1.3\ cups[/tex]

Answer:

10 amps

Step-by-step explanation:

Ohm's law states

I = [tex]\frac{V}{R}[/tex]

I is the current, V the voltage and R the resistance, thus

I = [tex]\frac{30}{3}[/tex] = 10

Answer:

Step-by-step explanation:

x² + 9x+8 = (x+1)(x+8)

José needs approximately 2 more hours to complete his job.

We should calculate the total time required for 100% completion and then subtract the time he has already worked.

He needs approximately 2 more hours to complete the job.

Complete Question:

Jose sets up computers. He has been working on the job today for 6 hours. He told his boss the job was about 75% complete. Approximately how many more hours does he need to complete the job.

3 > √10 > 4

the answer would be 3 & 4

Answer: 3 & 4

Step-by-step explanation:

Answer:

y = - 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 6x - 4 ← is in slope- intercept form

with slope m = - 6

• Parallel lines have equal slopes, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = - 6x - 19 ← in slope- intercept form

Answer: SECOND OPTION

Step-by-step explanation:

Given the following equation:

[tex]x^2-36=5x[/tex]

You can follow these steps in order to find the values of "x" that makes the equation true:

1. Subtract [tex]5x[/tex] from both sides of the equation:

[tex]x^2-36-5x=5x-5x\\\\x^2-5x-36=0[/tex]

2. Factor the equation. Find two numbers whose sum be -5 and whose product be -36. These are 4 and -9:

[tex](x+4)(x-9)=0[/tex]

Then you get:

[tex]x_1=-4\\\\x_2=9[/tex]

Checking:

[tex](-4)^2-36=5(-4)\\\\-20=-20[/tex]

TRUE

[tex](9)^2-36=5(9)\\\\45=45[/tex]

TRUE

Answer:

Its B. -4 and 9

Step-by-step explanation:

Just took it and got 100%

Answer:

r = 7

Step-by-step explanation:

Use the distributive property by multipling the -8 to the 2r and the -8, do the same thing on the other side with the -3.

Afterwards, combine like terms by adding 64 and 6.

Next, add 3r to the left side, I usually choose the number with the variable (the letter) that looks like it will be easier to subtract. This leaves only 21 on the right side.

Next subtract 70 from both sides

Divide -13 by both sides

You should get the answer of r=7

Final answer:

To find 15% of 75% of 80, calculate 75% of 80 first (0.75  imes 80 = 60), then find 15% of 60 (0.15  imes 60 = 9), resulting in an answer of 9.

Explanation:

The student has asked: What is 15% of 75% of 80?

To solve this problem, we'll need to follow these steps:

First, find 75% of 80.

Then, find 15% of the result from step 1.

Let's start with the first step:

75% of 80 is equivalent to 0.75  imes 80, which equals 60.

Now, for the second step:

15% of 60 is equivalent to 0.15  imes 60, which equals 9.

Therefore, 15% of 75% of 80 is 9.

Answer:

-18 - 24y.

Step-by-step explanation:

6(-3-4y)

We use the distributive law to give:

6 * -3 + 6* -4y

= -18 - 24y.

Answer:

B

Step-by-step explanation:

simply by dividing time and miles by number 2 until 6 miles comes to 1 mile

To convert the quadratic polynomial into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation. [tex]\dfrac{b^2}{4a^2}[/tex] can be added to both sides of the equation.

The given equation is  [tex]x^2+\dfrac{b}{a}x+?=\dfrac{-c}{a}+?[/tex]

Now,

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore,

[tex]x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=\dfrac{-c}{a}+\dfrac{b^2}{4a^2}[/tex]

Thus, [tex]\dfrac{b^2}{4a^2}[/tex] should be added to both sides of the equation to convert the above equation into the quadratic polynomial.

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Answer:

d

Step-by-step explanation:

edge

Answer:

none of the above i think

Step-by-step explanation: