Which is the simplified rational expression
Please answer correctly my grade depends on it

Answer:

∠ FAB = 75°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FAB is an external angle, thus

13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )

10x - 3 = 57 ( add 3 to both sides )

10x = 60 ( divide both sides by 10 )

x = 6

Thus

∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°

Answer:

Im assuming they want to know how many were given to each friend? each friend would get 5 gel pens

Step-by-step explanation:

subtract the 10 that ram kept for himself from the original 35,you get 25,then divide 25 by 5 (because there is 5 friends ) which is 5 gel pens per friend

Answer:

the result of adding these two equations is

3x = 14

Step-by-step explanation:

We are given two equations

5x − y  = 6          eq. 1

−2x + y = 8        eq. 2

Add the like terms together

5x - 2x = 3x

− y + y = 0

6 + 8 = 14

So the result of adding these equations is

3x + 0 = 14

3x = 14

Bonus:

The value of x is

3x = 14

x = 14/3

Answer:

3x = 14

Step-by-step explanation:

It worked on khan

The entire figure could be taken as a trapezium

A=1/2h(a+b)

h=8, a=6 and b=10

A=1/2×8(6+10)

A=4×16

A=64sq Inch

Answer:

128 or 56

Step-by-step explanation:

(8 X 10) + (6 X 6)

 80       +      48 = 128

OR

No 10 eliminate it because it on the line

8 X (6 X 6) = 48 + 8 = 56

Answer:

1. 50

2. 12

Step-by-step explanation:

Answer:

2. 50 stamps

3. 12 minutes

Step-by-step explanation:

2. Darius had 15 stamps, then he ordered 3 rolls. You can determine how many he got from the rolls by subtracting the total from 15. 165 - 15 = 150.

Now we know that there were 150 stamps in the rolls Darius ordered. Divide 150 by 3 (3 rolls) to find the number of stamps in each roll!

150/3 = 50.

3. First, remember that 1 hour = 60 minutes.

We want to find how long America played soccer on Monday, which is the same amount of time she played on Tuesday and Wednesday as well. This means we can subtract Thursday and Friday's time from 60 minutes, then divide that time by 3, to find the time she played on Monday.

60 - 14 - 10

= 36 minutes

Now, we divide 36 minutes by 3 to get 12 minutes.

Answer:

Yes you would need to regroup in the tens place because 3 is less than 6.

Answer:

Yes you would need to regroup in the tens place because 3 is less than 6.

Have a great day

Answer:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

a is the height

b is the base

c is the hypotenuse

Answer:

Step-by-step explanation:

I have sent a pic. Instead of tree, any other object you are finding the height of.

The diameter of the circle is 8 units.

Circumference = pi x diameter

Circumference = 3.14 x 8 = 25.12 units.

The answer is B 25.1

Answer:

Step-by-step explanation:

The other factor has 4 decimal places because the number of decimal places in a product is the sum of number of decimal places in the factors.

Example = 4.3 * 2 = 8.6

      4.3 * 0.2 = 0.86

Answer:

45

Step-by-step explanation:

if it is a square then all angles are 90 degrees. the line halfs them all meaning 90/2=45

Answer:

Step-by-step explanation:

Diagonals of square bisect the angles ∠D,∠E, ∠F & ∠G

And we know ∠D = 90

∠2 = 90/2= 45

Answer and Step by Step explanation:

3. 7(1.5) + 2(4) + 3(6.5) + 5(7)

  = 10.5 + 8 + 19.5 + 45

  = 83 grams of salt

You look at the x-axis of the graph and that is the amount of grams of salt, and the dots represent one container. So you multiply the number of dots (containers) by the amount of grams (stated on the number line).

4. 83 x 2

  = 166 grams of salt

This is because you already solved how much one of each container would be in the last question (question 3), so you would just have to multiply it my 2 to get the answer.

Answer:

RootIndex 6 StartRoot 432 EndRoot  

Step-by-step explanation:

To find the following product

[tex] \sqrt[3]{4} \times \sqrt{3} [/tex]

we can rewrite the radicals and then replace them into the multiplication, as follows:

[tex] \sqrt[3]{4} = 4^{\frac{1}{3}} = 4^{\frac{1}{3} \times \frac{2}{2}} = 4^{\frac{2}{6} = \sqrt[6]{16}[/tex]

[tex] \sqrt{3} = 3^{\frac{1}{2}} = 3^{\frac{1}{2} \times \frac{3}{3}}} = 3^{\frac{3}{6}} = \sqrt[6]{27} [/tex]

[tex] \sqrt[3]{4} \times \sqrt{3} = \sqrt[6]{16} \times \sqrt[6]{27} = \sqrt[6]{16 \times 27} = \sqrt[6]{432} [/tex]

Answer:

C edge 2021 :)

Step-by-step explanation:

Answer:

i think it's surface area units are squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because Bryce did 7/8 hours every day for 20 days,

7/8 hours is 52.5 minutes.

so then times 20, you will get 1050 minutes.

Then divided by 60(minutes per hour) you will get 17.5 hours,

which means she did 17 hours and 30 minutes in the first 20 days,

then you plus the last 1 hour per day for 10 days,

you will get 10 hours plus 17 hours and 30 minutes.

So Bryce have worked 27 and 30 minutes in september.

(I wish this could help you)

Answer:

27.5 hours

Step-by-step explanation:

Total hours:

20*7/8 + 10*1= 35/2+10=17.5+10= 27.5 hours

Hey!!!

Range={y:y=-7,-2,3,8}

The right answer is of option B.

Explanation:

The set of second components or the set of elements of B are called the range.

Hope it helps...

Good luck on your assignment..

Stay safe....

Answer:

It is "B", on edge.

Step-by-step explanation:

hope it helps!

Answ3r:

4

Step-by-step explanation:

I'm kind of going on a limb here....I think  

Answer: The answer is 4

Step-by-step explanation:

P, Q, and R are collinear points.

Q lies between P and R

Therefore ,

PR = PQ + QR

5x = 10 + 3x-2

5x - 3x = 8

2x = 8

x = 8/2

x =4

Answer:

Cone A, Cone C, Cone B

Step-by-step explanation:

The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.

That means the volume of cone A would be:

V = π * 5^2 * 6/3

V = π * 25 * 2

V = 50π

And the volume of Cone B would be:

V = π * 7^2 * 4/3

V = π * 49 * 4/3

V = 65.33π (about)

Lastly, the volume of Cone C would be:

V = π * 6^2 * 5/3

V = π * 36 * 5/3

V = 60π

65.33π > 60π > 50π

Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.

Answer:

Irresponsible choice

Step-by-step explanation:

If his parents gave him 200 dollars to purchase textbooks. He chose to spend it on concert tickets.

Please let me know if this is correct!!!!!

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

1) First move 5t to the left side

16 - 2t - 5t = 9

2) Then move 16 over to the right side

-2t -5t = 9 - 16

3) simplify both sides

-7t = -7

4) divide both sides by 7

-t = -1

5) divide both sides by -1

t = 1

Hope that helped : )

Answer:

Step-by-step explanation:

2x(4x -6)

8x^2 - 12x

the answer is c

this is false not all equations and all equations are identities are same

Answer:

42 Comedy, 49 Action, 21 Horror

Step-by-step explanation:

6 comedy : 7 action : 3 horror = 16 parts or if you think of it as a fraction, 16 is the denominator and the numbers for each ratios are the numerators

112 (the total)/16 = 7 movies per part

6 parts of comedy = 6 x 7 = 42

7 parts action = 7 x 7 =49

3 parts horror = 3 x 7 = 21

Another way to think of it is:

(ex. comedy)

6/16=x/112

(CROSS MULTIPLY HERE)

16x=672

x=42

Answer:

B

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]

Thus

([tex]\sqrt{a}[/tex] )² = [tex]a^{\frac{1}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex] = [tex]a^{(\frac{1}{2}+\frac{1}{2}) }[/tex] = [tex]a^{1}[/tex] = a → B

Answer:

B

Step-by-step explanation:

Absolute value works like this.

For any number you put inside the absolute value bars, it will always come out positive, so -5 and 5 can work.

Answer:

it is the second option. answer is x[tex]\leq[/tex]-8/3 or x>4

Step-by-step explanation:

we have the inequality 3x+8/x-4=0

we first multiply both sides by 4 the 4 cancels out on the left-hand side and  4*0 is 0 so we now have 3x+8=0 then we subtract both sides by 8 and get 3x=-8 then we divide both sides by 3 and get x=-8/3  

x[tex]\leq[/tex]-8/3 works in the original inequality

-8/3[tex]\leq[/tex]x[tex]\leq[/tex]4 does not work

x>4 does work

Answer:

its the first one I promise I even used a special calculator to be sure it is 100% the first option trust me

Answer:

x = -3, and y = -3, or the ordered pair is (-3, -3)

Step-by-step explanation

To solve this system, you can use the elimination method:

First, write both equations down.

12x - 8y = -12

6x + 4y = -30

If you multiply the second equation by 2, you can eliminate x. Rewrite the first equation, and multiply the second one by 2:

12x - 8y = -12

12x + 8y = -60

Once added, you get the equation:

24x = -72

x = -3

Now, we just plug -3 into one of the equations and solve for y:

12x - 8y = -12

12(-3) - 8y = -12

-36 - 8y = -12

-8y = 24

y = -3

So, x=-3, and y=-3, or the ordered pair is (-3, -3)

Answer:

A cuboid has 6 faces its that simple

Answer:

The critical values of r are -0.708 and 0.708.

Step-by-step explanation:

A statistical test is being performed to determine whether there is any linear correlation between two variables.

The hypothesis can be defined as follows:

H₀: There is no  linear correlation between two variables, i.e. ρ = 0.

Hₐ: There is a significant linear correlation between two variables, i.e. ρ ≠ 0.

The test statistic is given as follows:

[tex]t = \frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}[/tex]

The degrees of freedom of the test is:

[tex]\text{df}=n-2=12-2=10[/tex]

The significance level of the test is, α = 0.01.

The critical values of r are:

[tex]r_{\alpha/2, (n-2)}=r_{0.01/2, (12-2)}=r_{0.005, 10}=\pm0.708[/tex]

*Use the r critical value table.

Thus, the critical values of r are -0.708 and 0.708.

From the 'r' table, the values of 'r' are -0.708 and 0.708.and this can be determined by using the hypothesis test.

Given :

The hypothesis test is performed in this problem. The null and alternate hypothesis is:

[tex]\rm H_0 : p=0\\[/tex]

[tex]\rm H_1:p\neq 0[/tex]

The t-statistics is given by:

[tex]\rm t =\dfrac{r\sqrt{n-2} }{\sqrt{1-r^2} }[/tex]

Degree of freedom is given by:

df = n - 2 = 12 - 2 = 10

The significance level for this test is [tex]\alpha = 0.01[/tex]

Now, the critical value r is given by:

[tex]\rm r_{\alpha /2,(n-2)}=r_{0.01/2,(12-2)}=r_{0.005,10} = \pm0.708[/tex]

So, from the 'r' table, the values of 'r' are -0.708 and 0.708.

For more information, refer to the link given below:

https://brainly.com/question/2817633