Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answer:

First, we can write:

x = 2 . ¯ 3

Next, we can multiply each side by  10 giving:

10 x = 23 . ¯ 3

Then we can subtract each side of the first equation from each side of the second equation giving:

10 x − x = 23 .¯ 3 − 2 . ¯ 3

We can now solve for  x  as follows:

10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 )  ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3  

9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )  

9 x = 21 + 0

9 x = 21

9 x /9 = 21 /9

9 x /9 = 3 × 7 /3 × 3

x = 3 × 7 /3 × 3

x = 7 /3

Hope this helps!

Plz mark brainliest! ☜(ﾟヮﾟ☜)

Answer:Her score is 26

Step-by-step explanation:

To find the answer, we must deduct the total amount of points that are answered correctly

By the total amount of points that are answered incorrectly.

Because = 1 answered correctly = 4 points

= 1 answered incorrectly = deduct 7

points

So= 87 answered correctly × 4 points

= 348 points

So= 46 answered incorrectly × 7 points

=deduct 322 points

Then the answer will be= 348 - 322= 26

Hope this helps!

Answer:not true

Step-by-step explanation:

To say not true we need only one example so we can take x as -5

[-5]= [-5+1]

5 not equal with 4

~Divide

6/1 ÷ 2/3

6/1 * 3/2

18/2 or 9

So, she can cut 9 two third sections of ribbon.

Best of Luck!

Answer:

x+3x-15=13

4x=28

x=7

......

Answer:

[tex]y = 3x - 15 \\ \\ to \: find \: x \: substitute \: y \: into \: 0\\ \\ 0 = 3x - 15 \\ - 3x = - 15 \\ divide \: both \: sides \:by \: - 3 \\ \\ x = 5[/tex]

Answer:

4.44 pints

Step-by-step explanation:

7.4 times 3/5

Answer: -3

Add 1 to both sides

[tex]3x-1+1=8+1[/tex]

[tex]3x=9[/tex]

Divide both sides by 3

[tex]3x/3=9/3\\x=3[/tex]

Answer:

16/3 or 5 1/3

Step-by-step explanation:

7 + x - 15 = -2 2/3

x - 8 = -2 2/3

x = 16/3

Answer:

Let's solve your equation step-by-step.7+x−15=223

Step 1: Simplify both sides of the equation.

x−8=8/3

Step 2: Add 8 to both sides

.x−8+8=8/3+8x=32/3

Answer:x=10 2/3

i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!

Answer:

C) C < 4

Step-bay-step explanation:

> means "greather than"

< means "less than"

The only statement that is true:

C) C< 4

Answer:

AB=18 units.

Step-by-step explanation:

So, one of the angle measures is 6x. Since the shape is an equilateral triangle, this means that all the angles measure 6x. In other words, the total measure of the three angles is 6x+6x+6x=3(6x) or 18x. Recall that a triangle has a total interior angle sum of 180. Therefore, set 18x to 180 and solve for x:

[tex]18x=180\\[/tex]

Divide both sides by 18:

[tex]x=10[/tex]

Therefore, x is equal to 10.

Now, since this is an equilaterial triangle, all three side lengths are the same. Thus, AB=BC=AC. We know that BC is equal to x+8. Find BC:

[tex]BC=x+8\\BC=(10)+8\\BC=18[/tex]

And since all the side lengths are equivalent, this means that side AB is also 18 units.

Answer:

See below.

Step-by-step explanation:

The 3 angles in the triangle add up to 180 degrees

Also, as all 3 sides are equal, all 3 angles are also equal and each has the value 180/3 = 60 degrees.

So 6x = 60

x = 10.

Now AB = BC = x + 8

Therefore AB = x + 8

= 10 + 8

= 18.

Answer:

14.1

Step-by-step explanation:

Use tan to help:

Answer:

Step-by-step explanation:

measure of a = 9 degree

angle POM = 48 degree = angle NMO [ AIA}

HOPE IT HELPS

Answer:

Below

Step-by-step explanation:

We are given that <PMO= (3a+15)° and NMO= (6a-6)°

Notice that the sum of <PMO and <NMO gives a right angle.

● <PMO+<NMO = 90°

● 3a+15+6a-6 = 90

● 9a + 9 = 90

Substruct 9 from both sides

● 9a +9 -9 = 90 -9

● 9a = 81

Divide both sides by 9

● 9a/9 =81/9

● a = 9

So the value of a is 9°

■■■■■■■■■■■■■■■■■■■■■■■■■■

MN and PO are parallel since MNOP is a rectangle.

MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.

● <NMO = <POM

● <POM = 6a-6

The value of a is 9°

● <POM = 6*9-6 = 48°

So <POM = 48°

Greetings from Brasil...

Real part with real part, complex part with complex part...

(-7 + 3i) - (2 - 6i)

(-7 + 3i) - (2 - 6i) = ((-7 - (+ 2)) + (3i - (- 6i))) = - 5

((-7 - 2) + (3i + 6i))

Answer:

The answer is A pls mark me brainly

Answer & Step-by-step explanation:

Let's start with the first problem.

1.) 9a⁴b⁴ - 27a³b³

Now, we have to find a number or a term that can be divisible by both terms in the expression. 9 and 27 have a common factor of 9. a⁴b⁴ and a³b³ have a common factor of a³b³. So, let's use this information to find our answer.

The GCF of the expression is 9a³b³

Now, let's do the second problem.

2.) x² - 36

For this problem, we have to factor out the expression. Since this a perfect square binomial, we can just square the terms and that will give us our answer.

The factored form of this expression is (x + 6)(x - 6)

Lastly, let's do the third problem.

3.) x² + 7x + 10

For this problem, we are going to have to factor again. First, we can break down the middle term so we can factor the expression.

x² + 2x + 5x + 10

Now, we pair the first two terms together and the last two term together.

(x² + 2x) + (5x + 10)

Now, we factor each parentheses by finding the common factor between them.

x(x + 2) + 5(x + 2)

Since, our terms are the same in each parentheses, then that means we have factored correctly.

The factored form of this expression is (x + 5)(x + 2)

Answer:

A: 2:30

B: 13:15.

C: 4:05 A.M

D: 3:25 P.M

Step-by-step explanation:

Answer:

a) 0230 hours

b) 1315 hours

c) 4:05 am

d) 3:25 pm

Step-by-step explanation:

To change a 12 hour clock to a 24 hour clock, note that when it hits p.m., anything over 12 p.m. will have the number added to it.

a) 2:30 am

2:30 am is earlier than 12 pm, therefore, 0230 is your answer. Remember, you must place the 0 in the front to not confuse a user that the 2 is in the tens place value.* *Essentially, use military time:

b) 1:15 pm

1:15 pm is later than 12 pm, therefore, add 12 to the 1 in the hours. Use military time:

0115 + 1200 = 1315

1315 hours is your answer.

To change a 24 hour clock to a 12 hour clock, note the time frame in which the time is given. if over 1200, then subtract by 12, and add the p.m.

0405 = 4:05 am.

1525 = 12 pm + 3:25 = 3:25 pm.

~

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

Answer:

$228.80 paid for rent.

Steps:

Divide the percentage by 100.

26/100=0.26

Multiply this amount by the principal amount, 880.

880*0.26=228.8 is 26% of 880

Answer:

26% of 880

= (26 x 880 )  /  100

= 228.80 ($)

Step-by-step explanation:

Have attached some composite functions completed to show you the whole unit. Hope it helps. The 2nd and third one are part of the same answer.

The forth one attached may help you most.

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

[tex] (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = [/tex]

[tex] = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 [/tex]

[tex]= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}[/tex]

[tex] = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} [/tex]

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

Answer:

The answer is below

Step-by-step explanation:

A rational number is a number in the form p/q where p and q are both integer numbers.

From the number line, each one unit is divided into six, therefore each one point is 1/6 unit. For the first number, it is between 0 and 1 and is on the fifth point, therefore the expression of the first number = 0 + 5(1/6) = 0 + 5/6 = 5/6

For the second number, it is between -1 and -2 and is on the third point, therefore the expression of the second number = -1 - 3(1/6) = -1 - 3/6 = -9/6

The difference between the two numbers is:

5/6 - (-9/6) = 5/6 + 9/6 = 14/6

Answer:

x=-5

Step-by-step explanation:

-5+2=(-3)

-3*(-1)= 3

Answer:

x=-5

Step-by-step explanation:

(x+2)/-1 = 3

Multiply each side by -1

(x+2)/-1 * -1 = 3*-1

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Greetings from Brasil...

According to the properties of the radiation:

X^(a/b) = [tex]\sqrt[b]{X^a}[/tex]

So

X^(2/3) = [tex]\sqrt[3]{X^2}[/tex]

And

Y^(-3/4) = 1/Y^(3/4)

so 1/Y^(-3/4) = Y^(3/4) = [tex]\sqrt[4]{Y^3}[/tex]

Then we get

[tex]\sqrt[2]{X^3} .\sqrt[4]{Y^3}[/tex]

Answer:

Answer on Edmentum! :)

Step-by-step explanation:

Hope this helps!

The number of children were 172 and number of  adults were 278.

An equation that makes a straight line when it is graphed.

Given that, A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests

According to question,

12x+25y = 9014

x+y = 450

Solving using elimination method, we get,

x = 172 and y = 278

Hence, The number of children were 172 and number of  adults were 278.

For more references on linear equation, click;

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Answer:

Mean

Step-by-step explanation:

mean is the average of numbers put together and divided by the total amount of numbers, when finding the average annual income using the mean would be most effective

Answer:

6

Step-by-step explanation:

3x - 5 = 13

3x = 18 (Add 5 to both sides; 13 + 5 = 18)

x = 6 (Divide both sides by 3; 18 / 3 = 6)

Answer:

17/4 kg

Step-by-step explanation:

Sunita has = 10kg of grapes

Quantity given out :

To Reena =3 1/2

7/2 kg

To Anita =2 1/4

9/4 kg

Total quantity of grape given out

7/2+9/4

(14+9)/4

23/4

Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out

10/1 - 23/4

40-23)/4

= 17/4 or 4 1/4

Hence, she has 17/4 kg of grape left with her

Answer:

Step-by-step explanation:

Let the points be A and B

A ( 7 , 5 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

Now, let's find the slope of the line which contains these points:

Slope = [tex] \mathsf{\frac{y2 - y1}{x2 - x1} }[/tex]

plug the values

⇒[tex] \mathsf{ \frac{4 - 5}{2 - 7} }[/tex]

Calculate

⇒[tex] \mathsf{ \frac{ - 1}{ - 5} }[/tex]

Reduce the fraction with -1

⇒[tex] \mathsf{ \frac{1}{5} }[/tex]

Hope I helped!

Best regards!

Answer:

-196

Step-by-step explanation:

Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.

Dari urutan tersebut, kita bisa membuat beberapa potongan.

Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4

Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20

U20 = a + (20-1)

d U20 = -18 + 19 (-4) = -18 - 76 = -94

U22 = a + (22-1) d

U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;

U22 + U20 = -102 + (-94) = -196

Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters

Step-by-step explanation:

GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. [tex]s=-0.25t+4[/tex]

At t=0, [tex]s=4[/tex]

So, Thickness of ice sheet at the beginning = 4 meters

Now at t= 6, we get

[tex]s=-0.25(6)+4=-1.5+4=2.5[/tex]

Thickness of ice sheet after 6 weeks = 2.5 meters

Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters

Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters

Answer:

1.5

Step-by-step explanation:

Answer:

1.83

Step-by-step explanation:

The standard deviation of given data set rounded to the hundredth place is 2.55

Given data set is: 9, 11, 12, 16

The mean of the data set is 12.

The formula for standard deviation is written as:

[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]

here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,

[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]

Thus, standard deviation of given data set rounded to the hundredth place is 2.55

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