Step 1: 4 x minus x + 2 + 6 = 6 x + 16
Step 2: 3 x + 8 = 6 x + 16
Step 3: 8 minus 16 = 6 x minus 3 x
Step 4: Negative 8 = 3 x
Step 5: Negative StartFraction 8 Over 3 EndFraction = x

Jorge verifies his solution by substituting Negative StartFraction 8 Over 3 EndFraction into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error?
Jorge distributed incorrectly.
Jorge incorrectly combined like terms.
Jorge incorrectly applied the addition and subtraction properties of equality.
Jorge incorrectly applied the multiplication and division properties of equality

Friday =11

Saturday =?

But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.

Saturday = 11-8

               = 3

∴ He took 3 pictures on Saturday.

       Hope this helps >3

Answer:

Please see the question below.

Step-by-step explanation:

In the expression "[4 x 3⁵ - 9 x (-7)]" I'm unclear if the "x" is a multiplication sign, or the variable x.  I'll assume it is the variable x in my answer.

4 x 3⁵ = 972x

- 9 x (-7) = 63x

3³ (-4² +2²)  = 27 (20) = 540

-11 = -11

========

Putting it all together:

972x + 63x + 540 -11

1035x + 529

True. All natural numbers N are integers Z, but not all integers are natural numbers.

Natural numbers:

Integers:

Since natural numbers are all positive, N is positive integers but not all integers are natural numbers.

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Answer:

-20.2a+5.5

subtract the values with a in it and the ones without the a together.

Answer:

A. $1500.00

Step-by-step explanation:

Assuming this is a simple interest savings account.

Simple interest formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

⇒ I = Prt

⇒ 225 = P(0.03 ×5)

⇒ 225 = P(0.15)

⇒ P = 225 ÷ 0.15

⇒ P = 1500

Therefore, Timothy started the account with $1500.00.

The accumulated value of an investment if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is $30731.4 $ , $30785.98  $30823.14 , 30841.95

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

[tex]\rm A = P( 1+ \dfrac{r}{n}) ^{nt}[/tex]

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ [tex]\rm e ^{rt}[/tex]

Therefore the accumulated value for

compounded Semiannually is

[tex]\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}[/tex]

A = $30731.4

Compounded Quarterly

[tex]\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}[/tex]

A = $30785.98

Compounded Monthly

[tex]\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}[/tex]

A = $30823.14

Compounded Continuously

[tex]\rm P = 25000 e ^{ 7 * 3 }[/tex]

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is

$30731.4 $ , $30785.98  $30823.14 , 30841.95

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Answer:

the distance between points M and P

Step-by-step explanation:

i did it

Answer:

m = 3

Step-by-step explanation:

Gradient of a line is given by the formula

m= (y2-y1) /(x2-x1) which is change y divided by change in x

m = (-4-2)/(-2-0)

m = -6/-2

m = 3

Answer: the gradient is 3

Step-by-step explanation:

for a full explanation refer to the document and the ones written colorfully are the explanation. So, if you want just the workings they are the ones written in black.

and I drew an eye! Have a nice day!

If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].

x + a is factor of equations  [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]

Polynomial equation is equation of independent variables.

Putting it in both the equations

[tex]x^2+px+q=0[/tex]                          
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]  

[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]

subtracting (2) from (1)

[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]

Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].

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Answer:

y=6,x=0

Step-by-step explanation:

here's an attachment with how to solve

Answer: [tex]-1, \frac{4}{3}[/tex]

Step-by-step explanation:

[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]

Answer:

x = -1
x = 4/3

Step-by-step explanation:

Hello!

First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]

We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].

The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.

Use the Zero Product Property. Set each factor to zero and solve for x.

The solutions to the quadratic are -1 and 4/3.

Answer:

[tex]C=23\pi[/tex] inches

or as a decimal

72.26 inches

Step-by-step explanation:

Formula for circumference: [tex]C=2\pi r[/tex]

Radius = [tex]\frac{d}{2}[/tex]

Altogether we get: [tex]C=2*\pi*\frac{d}{2}[/tex]

Which simplifies to: [tex]C=\pi d[/tex]

So now we can plug in 23 for [tex]d[/tex].

[tex]C=\pi*23[/tex]

Our final answer is:

[tex]C=23\pi[/tex] inches

or as a decimal

72.26 inches

Answer:

A) 9

Step-by-step explanation:

⇒ Circumference of a Circle = 2πr

[tex]36=2\pi r[/tex]

[tex]r=\frac{36}{2} \pi[/tex]

[tex]r=\frac{18}{\pi }[/tex]

Length of arc = rθ

θ = angle AC = [tex]90^o[/tex]

Convert [tex]90^o[/tex] to radian

= [tex]\frac{90\pi }{180}[/tex]

= [tex]\frac{\pi }{2}[/tex]

length of arc = 18/π x π/2

= 9

The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle is given below.

The sum of the two interior angle is equal to the third exterior angle.

m∠x = (198 − 5n)°

m∠y = (5n + 37)°

m∠z = (n + 7)°

We know that

∠x = ∠y + ∠z

198 - 5n = 5n + 37 + n + 7

       11n = 154

          n = 14

Then the value of the angle ∠x will be

∠x = 198 – 5 × 14

∠x = 128°

Then the correct option is C.

The complete question is given below.

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Answer:

B)20

Step-by-step explanation:

convert 900in to ft=75

1500/75=20boxes

Answer:

a and b

Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2

Answer:

x = 4

Step-by-step explanation:

The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.

From the Pythagoras theorem:

Perpendicular(P) = 32 ft

Base(B) = 20 ft

H = √(32²+20²)

H = √1424

H = 37.7 ft

Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

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Answer:

D) 37.7

Proof:

The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an exponential function:

[tex]\rm N = N_oe^{-kt}[/tex]

Plug N = N⁰/2

[tex]\rm N_o/2 = N_oe^{-kt}[/tex]

[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]

Solving for t:

t = 5.54 ≈ 5.5 days

Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125

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The answer is pretty simple but I put it in a picture below

Answer:

59°

Step-by-step explanation:

Difference=54-(-5)

=54+5=59

Answer:

Continuous

A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.

The triangle ABE and triangle DEC are similar by AAA option third is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have given two triangles in the picture.

As we can see in the triangle ABE

Angle ABE = 90 degree or right angle

Similarly, in a triangle DEC

Angle DEC = 90 degree or right angle

Angle ABE = Angle DEC

Angle EAB = Angle CDE

If the corresponding two angles are the same as two triangles then the third the angle will be the same.

Angle AEB = Angle DCE

The triangle ABE and triangle DEC are similar to AAA

Thus, the triangle ABE and triangle DEC are similar by AAA option third is correct.

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Answer:

7:24pm

Step-by-step explanation:

At 50 mph, it will take 195/50 = 3.9 hours to reach London

3.9 hours = 3 .9 * 60 = 3 hours and 54 minutes(54 = 0.9 * 60 )

3:30 + 3:34 ==> 7:24

(one way to do this is to add up the hours and minutes separately so we get 6:84) Since 84 minutes = 1 hour and 24 minutes, just add 1:24 to 6 to get 7:24

Another way to do this is to see that if the distance was 200 miles, then it would take exactly 4 hours (200/50) to reach at 7:30pm But it is short by 5 miles. At the speed of 50mph, the time taken to travel 5 miles = 60/50 * 5 = 6 minutes so deduct 6 minutes from 7:30pm to get 7:24pm

If the train is slower average speed, then the arrival time is delayed beyond 7:24pm

Answer:

Step-by-step explanation:

4567890987654345678

Answer:

3

Step-by-step explanation:

Answer:

[tex]a_{n} =18-8n\\a_{8} =18-8(8)=-46[/tex]

Answer:

-46

Step-by-step explanation:

(hello, I just answered your previous question--some stuff will sound similar because we are applying the same concept :)  )

We know that the nth term of the sequence is 18 - 8n

the "nth" term of a sequence means that you can plug in the term place to get the term value (ex. if the nth term is n + 2, we can plug any term in {let's say, the eighth term, 8 + 2 = 10 ; to get our term's value}  )

  18 - 8n is sequence

  18 - 8(8) is 8th term

  18 - 64 is 8th term

 -46 is the 8th term

hope this helps!! :)

We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.

Complex numbers are those numbers that contain the imaginary and the real part.

We have been given (4 + 4i) - (13 + 17i) .

On removing the parenthesis

4 + 4 i - 13 - 17i.

On combine the real part and complex parts, we get

= 4 - 13 + 4i - 17 i.

= -9 - 13 i.

Therefore, The correct option is A ) -9 - 13 i.

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Answer:

Given - an equilateral triangle

An equilateral triangle means all sides equal and all angle equal to 60°

In triangle BOA

sin 60° = OB/ AB

√3/2. = 80/AB

AB = 160√3/3

X = 160√3/3