Plz help me!!!!!!!!! Whoever solves correct will mark brainlist

Answer:

-6 is an extraneous solution.

Step-by-step explanation:

We can start by solving this problem.

First, to remove the square root, we can square both sides.

[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]

Next, we can subtract both sides by (x+10)

[tex]x^2 + 7x + 6 = 0\\[/tex]

Then, we can factor out the equation.

[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]

Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,

-1 + 4 = √(-1 + 10)

3 = 3

-6 + 4 = √(-6+10)

-2 ≠ 2

Therefore, -6 is an extraneous solution.

Given:

The expression is:

[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]

To find:

The difference.

Solution:

We have,

[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]

It can be rewritten as:

[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]

[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]

Taking LCM, we get

[tex]=\dfrac{184-41}{10}[/tex]

[tex]=\dfrac{143}{10}[/tex]

[tex]=\dfrac{140+3}{10}[/tex]

[tex]=14\dfrac{3}{10}[/tex]

Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].

Answer:

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Answer:

6 men are ill.

Step-by-step explanation:

the work of 30 men in 40 hours is the product

30×40

an unknown number of men (x) is sick, and now the remaining workers do the same work in 50 hours

(30-x)×50

so,

30×40 = (30-x)×50

1200 = 1500 - 50x

-300 = -50x

x = 6

Answer:

D. SSS

Step-by-step explanation:

SSS (Side-Side-Side) is a proof of congruence where two triangles share three sides.

Answer:

SSS

Step-by-step explanation:

We are given that the triangle has all congruent sides therefore we can prove that the triangles are similar by the SSS theorem ( side - side - side )

Answer:

Options : B & D

Step-by-step explanation:

E(x) = 10x - 30 , where x is the number of doors she knocks

Given she has to pay her own expense.

So whatever she earns $30 is reduced from it ,for her expense.

Option A: She can earn $10 even if she does not knock

any doors - False

                 That is, x = 0

                 When x = 0 , E (x) = 10 ( 0 ) - 30 = - 30

                 => she loses $30.

Option B :Her expenses are $ 30 per week - True

                E(x) = 10x  - 30

                 Expenses are reduced from her earnings.

Option C: She will lose $10 per week if she does not knock

any doors - False.

                 Already checked on option A that if she does not knock

                 on any door, means x = 0 , then loses $30.

Option D : If she does not knock on any doors at all during

the week , she will lose $30 - True

Answer:

80 mm

Step-by-step explanation:

1/p + 1/20 = 1/16

Subtract 1/20 from both sides

1/p = 1/16 - 1/20

Use 160 as common denominator

1/p = 10/160 - 8/160

1/p = 2/160

1/p = 1/80

Cross multiply

80 = p

80 mm

Answer:

Step-by-step explanation:

P= plain coasters

L= logo coasters

3(P+L) +25   if they want to buy logo coasters or logo  and plain  coasters

3P  if they want to buy plain coasters

no matter the amount of logo coasters   there is a one time charge  of $25

So we do not need to know how many with logo

The prize of both kind of coaster is $3

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

Answer:

1. X-intercept

Step-by-step explanation:

Answer:

quadranttwo

linear

Step-by-step explanation:

1 across

quadranttwo

14 across

linear

the volume is 1/3 * height *area of the base (the circle) in cubic units

the area of the circle is pi*r²

wich gives us

1/3 * 11 * pi * 5²

rearrange

= 5² * 11 * 1/3 * pi

= 25*11*1/3*pi

= 275*1/3*pi

= 275/3 *pi

= (91 2/3)*pi

in cubic units

so your answer is the first option

Answer:

135

Step-by-step explanation:

9*5=45*3=135

Answer:

[tex]\frac{0.00467}{100000}[/tex]

Step-by-step explanation:

Given :

0.00467

Now,

[tex]0.00467=\frac{0.00467}{100000}[/tex]

Standard form of given equation is :

[tex]\frac{0.00467}{100000}[/tex]

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

Answer:

56.6in³

Step-by-step explanation:

volume of a pyramid = 1/3 x Area of base x height

1/3 x 11.1 x 15.3 = 56.61 in³

56.6 in³ to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth term is 1 which is less than 5. O is added to 6

Answer:

cost of 12 bars = $3.60

cost of 1 bar = $3.60 ÷ 12

= $0.3

hope it helps

have a nice day

Answer:

$0.30

Step-by-step explanation:

12 granola bars = $3.60

1 granola bars = $3.60/12 = $0.30

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

Answer:

it appears to have TRANSLATED

Answer:

2133$

Step-by-step explanation:

5400-(5400$ *60.5/100)

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium

Step-by-step explanation:

tan < BCA = x/y = 3/18= 0.1667

< BCA = arc tan 0.1667 = 9.464° => 9.46°

Answer:

$ 181

Step-by-step explanation:

He has total savings account= $550

If he took out every month = $ 30.75 ,

= $ 369

micheal has total balance = $ 550 - $369

= $ 181

Answer:

this at all so yea

Step-by-step explanation:

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Answer:

$205.60

160(1.135)+ 160(.15)

Step-by-step explanation:

Answer:

this means she ate an average of 30 raisins each day

so she ate 30 on the third day

so the amount she ate each day is like this

1. 16

2. 23

3. 30

4. 37

5. 44

16 + 23 +30 +37 +44=150

Answer:

a. 30 b. 16

Step-by-step explanation:

n=number of days

a1= raisins she at on 1st day

d=increase per day

n(a1+an)/2

5(a1+a1+d(n-1))/2=150

5(2a1+4d)=300

d=7, 10a1+20(7)=300

a1+14=30

a1=16

a. a1+2d 16+14=30 b. 16

Answer:

Three quarter

Step-by-step explanation:

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Answer:

3/4

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4

2+1/4

3/4

Answer:

12 mph and 16 mph

Step-by-step explanation:

distance = speed * time

56 = s * 2 + (s - 4) * 2

56 = 2s + 2s - 8

56 = 4s - 8

64 = 4s

16 = s

s = 16

s - 4 = 12

Let the speed of the faster bike = X

The slower bike would be x - 4 ( 4 mph slower)

Multiply each speed by time and add to equal total distance:

2x + 2(x-4) = 56

Simplify:

2x + 2x -8 = 56

4x -8 = 56

Add 8 to each side:

4x = 64

Divide both sides by 4:

x = 64/4

x = 16

The faster bike rode at 16 miles per hour

The slower bike traveled at 16-4 = 12 miles per hour