(Multiple Choice, 20 pts)
Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.

A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution

Answer:

2/16

Step-by-step explanation:

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.

probability=desired chances/total chances

=2/16

The probability that Arya gets blue on both spinners is 2/16.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .

we get 1 + 1 = 2.

The probability that Arya gets blue on both spinners

= desired chances/total chances

=2/16

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements,                                                Reason

[tex]\overline{AC}[/tex] bisects ∠BCD,                                      Given        

[tex]\overline{DC} \perp \overline{AD}[/tex]                                                    Given

∠CDA ≅ ∠CBA                                           Right angles are ≅

[tex]\overline{AC} \cong \overline{AC}[/tex]                                                     Reflexive property

ΔACD ≅ ΔACB                                           Hypotenuse Leg (HL) congrurency

[tex]\overline{BC} \cong \overline{DC}[/tex]                                                    CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test

Answer:

5 ft, I think

Answer:

The triangles are similar by the AA similarity postulate

Step-by-step explanation:

The only thing we know is that the three angles are the same

70+30 +80 = 180 so the missing angle in each triangle is  80  in the first and 70 in the second

The triangles are similar by the AA similarity postulate

Answer:

Rs. 1050

Step-by-step explanation:

75/100×600= 7.5×60= 450+600= 1050

Hope this helps

Answer:

Step-by-step explanation:

The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m

Each side of the cube made is 2m

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are

Length = 2 × 2 = 4m

Width = 3 × 2 = 6m

Height = 4 × 2 = 8m

Volume = length × width × height

Volume = 4 × 6 × 8 = 192 m³

Number of small cubes used is 192/1 {= 192

The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes

Answer:

£12.25

Step-by-step explanation:

Using unit rate:

[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]

£12.25 should be the correct answer.

Answer:

0.2

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Mark the first decimal place

Examine the second decimal place and if it is lower than five we round down and vice versa

Answer:

i might be 25

Step-by-step explanation:

Answer:

234.85

Step-by-step explanation:

This was easy!!!

(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!

Answer: C. $234.85

Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month)  = $234.85 (how much the gardener made)

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

Answer:

First seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Step-by-step explanation:

Given recursive rule aₙ = a ₙ ₋ ₁ + 3

a1 = 10

[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]

Thus, first seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Answer:

14

Step-by-step explanation:

We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.

Let us expand all brackets:

[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]

The exponent of b is 14.

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

Answer:

(f+g) (x)=4x^2+3x/2-7

Step-by-step explanation:

f(x)= x/2-3 and g(x)=4x^2+x-4

(f+g) (x)=?

(f+g) (x)=f(x)+g(x)

(f+g) (x)=x/2-3+4x^2+x-4

combining like terms

(f+g) (x)=4x^2+x/2+x-3-4

(f+g) (x)=4x^2+3x/2-7

hope it helps. Brainliest please

Answer:

[tex]40[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number.

[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]

[tex]\frac{9}{20} x=18[/tex]

[tex]x=18 \times \frac{20}{9}[/tex]

[tex]x=40[/tex]

If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40

Let the given number be represented by x

One-fourth of the number = x/4

One-fifth of the same number = x/5

One-fourth of the number is added to one fifth of the same number =

x/4  +  x/5  

The result is 18

This can be represented mathematically as:

x/4  +  x/5     =  18

Simplifying the equation above

(5x + 4x)/20  =  18

Cross multiply

5x +  4x  =  18(20)

9x  =  360

x   =  360/9

x   =  40

The number = 40

Learn more on word problem here: https://brainly.com/question/21405634

Answer:  (b) -5x + 5

Step-by-step explanation:

f(x) = 5x        g(x) = -x + 1

f(g(x)): g(x) = -x + 1          f(-x + 1) = 5(-x + 1)

                                                   = -5x + 5

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

The coordinates of rectangle ABCD are;

A = (-6, -2)

B = (-3, -2)

C = (-3, -6)

D = (-6, -6)

The coordinates of the image are;

A' = (-10, 1)

B' = (-7, 1)

C' = (-7, -3)

D' = (-10, -3)

We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3

For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3

For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3

For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3

Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the picture above

I hope it helps :)

Answer:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Step-by-step explanation:

Take a look at B:  4a^2 - 10 a + 25.  The square roots of 4a^2 and 25 are 2a and 5 respectively.  Does (2a - 5)^2 come out to 4a^2 - 10a + 25?  No.

Take a look at C:  25b^2 - 5b + 10  We know this is not a perfect square trinomial because 10 is not a square.

D:  16x^2 - 8x + 1:  both 16x^2 and 1 are perfect squares, so we have:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

Answer:

1/3

Step-by-step explanation:

We are given to find the slope of the line shown on the graph.

We note that

the line on the graph passes through the points (3, -4) and (6, -3).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.m=

c−a

d−b

.

Therefore, the slope of the given line is

\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}

m=

6−3

−3−(−4)

⇒m=

3

−3+4

⇒m=

3

1

.

Thus, the required slope of the line is \dfrac{1}{3}.

3

1

.

Option (B) is CORRECT.

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

Answer:

6

Step-by-step explanation:

Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:

$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$

The last digit to appear in the units position of a number in the Fibonacci sequence is $6.

The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].

The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.

Learn more here:

https://brainly.com/question/13247630?referrer=searchResults

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

Answer:

20

Step-by-step explanation: