3(6k+5)+3(6k+4
The expression has to be equivalent.

Answer: B or D

Step-by-step explanation:

Karens ration is 5:15 whilst chens is 6:19

1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3

I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.

Answer:

Chen: 6/19

Step-by-step explanation:

Anne: 2/14 = 0.142

Karen: 5/15 = 0.133

Janice: 4/14 = 0.285

Chen: 6/19 = 0.316

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

1. reflection over y axis

2. dilation over the origin with scale factor of 3

Step-by-step explanation:

1. reflection about y axis

2. dilation over the origin (0,0) with scale factor of 3

Answer:

£3150

Step-by-step explanation:

First you divide 5 by 100.

5% Interest Rate = 0.05

Then you times 3000 by 0.05.

3000 × 0.05 = 150

Then your add your answers together.

3000 + 150 = 3150

Answer:

£3150

Step-by-step explanation:

is the correct 1

Answer:

shorter piece is 28.8 inches

Step-by-step explanation:

Answer28.8

Step-by-step explanation:

28.8 x 5 = 144

Answer:

The slope is [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

Take the general equation of a straight line [tex]y = mx+c[/tex]

Here [tex]m[/tex] is the slope of the line.

So let's get the equation of the line in the question in the same form.

[tex]-48 = 2x-8y[/tex]

Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]

Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]

Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]

Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]

Answer:

Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.

m = -a/b = -1/-2 = 1/2

The equation is

(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>

2Y - 4 = X - 2 => | X - 2Y = -2 |

Answer:

x = + - 3(y-2)

this it ut

Answer:

It will be the oval, yw :)

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

Answer:

I think it's angle 10

Step-by-step explanation:

I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.

I hope this helps

Answer:

8/9

Step-by-step explanation:

10-2/10-1=8/9

slope=8/9

Answer:

8/9

Step-by-step explanation:

Here,

(1,2)=(x1,y1)

(10,10)=(x2,y2)

Now,

Slope(m)=(y2-y1)/(x2-x1)

=(10-2)/(10-1)

=8/9

Answer:

27+a

Step-by-step explanation:

Answer:

Your answer is  B = 6

Step-by-step explanation:

[tex]A^{2} +B^{2} = C^{2} \\5^{2} + B^{2} = \sqrt{61} ^{2} \\B^{2} = \sqrt{61} }^{2} -5^{2} \\B^{2} = 61 - 25\\B = \sqrt{36} \\B = 6[/tex]

Hope this helps!

Answer:

A. y=x2 - 7

   y=x + 6

B. 7

Answer:

A.) 2x = y + 7

     y = x + 6

The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.

B.) They are both correct so Jacob's score is 13 points and Paul's is 19.

6 + 7 = 13 (the difference between scores in both equations)

6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.

Hope This Helps!

Answer:

other apples should also be taken by another person and Bryan had no apples left.

Step-by-step explanation:

Step-by-step explanation:

Explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x then,

27 : 36 :: 18 : x

[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

=>27x = 36 * 18

=> x = 24

So 24 days will be required to get work done by 27 men..

Answer:

36 men can complete work in 18 days

so, one man can complete work in 18×36 days

Therefore, 27 can complete work in 18×36/27 = 24 days

Step-by-step explanation:

Step-by-step explanation:

(x/2) +(y/-8)=1

[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]

well that is the equation

Answer:

y=(y/x+8/x) x-8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

1 + 1 = 2

Have a beautiful and joyful day ahead.

Answer:

1+1= 2

have a nice day stay safe <3

Answer:

slope is positive 2/1

Step-by-step explanation:

Answer:

a) the slope is 2 because the line goes from (4,1) to (5,3)

I d k any of the bonus questions tho sorryyyy

Step-by-step explanation:

112.5 miles in 2.5 hours

Answer:

Step-by-step explanation:

speed × time = distance

45 × 2.5 = 112.5

45 is the speed

2.5 is the time

11.25 is the distance

Answer:

Step-by-step explanation:

i am not really fully sure

Answer:

Yo use gauth mathhhhhhh

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

Answer:

156 and 23

Step-by-step explanation:

Step 1: Set up the system of equations.

Step 2: Solve x + y = 179 for x.

Step 3: Substitute -y + 179 for x in x - y = 133.

Step 4: Substitute 23 for y in x = -y + 179

Therefore, the numbers are 156 and 23.

Answer:

x = 3

Step-by-step explanation:

-6x + 6 = -12

Subtract 6 on both sides

-6x + 6 -6 = -12 -6

-6x = -12 - 6

Simplify

-6x = -18

Divide by -6 on both sides

-6x/-6 = -18/-6

Simplify

x = 3

Step-by-step explanation:

Words Decimal Representation Scientific Notation

ten million 10,000,000 1 x 107

one hundred million 100,000,000 1 x 108

one billion 1,000,000,000 1 x 109

ten billion 10,000,000,000 1 x 1010

nth number is 83 hope you understand my answer thanks

Answer: 3n^2 + 8

Step-by-step explanation:

an^2 + bn + c

It is a quadratic sequence

11, 20, 35, 56, 83

 +8 +15 +21 +27

    +6   +6   +6

a + b + c

4a + 2b + c

9a + 3b + c

4a + 2b + c - a + b + c = 20 - 11

4a + 2b + c - a + b + c = 9

3a + b = 9

9a + 3b + c - 4a + 2b + c = 35 - 20

5a + b = 15

-2a = -6

a = -6/-2

a = 3

Substitute to find the values of b & c

For b

5(3) + b = 15

15 + b = 15

b = 15 - 15

b = 0

For c

9(3) + 3(0) + c = 35

27 + c = 35

c = 35 - 27

c = 8

3n^2 + 0n + 8

3n^2 + 8