7.
Which equation is correct?

The word problem is

A Cake has 2/7 part left.iF it's shared between 4persons how much each get ?

Let's solve it

Let each get x

Answer:

See below ~

Step-by-step explanation:

Mitch is given 2/7 of a cake as a prize for winning a contest. He would like to share it among him and his 3 friends. How much of a whole cake do each of them get?

Solving

Answer:

4294967293 dots

Step-by-step explanation:

Figure 1 has 5 dots.

Figure 2 has 13 dots.

Figure 3 has 29 dots.

Subtract and find different of each term:

Let [tex]\displaystyle \large{b_n}[/tex] be sequence of difference (and the sequence appears to be geometric.)

So for [tex]\displaystyle \large{b_n}[/tex], find the common ratio which is 2.

Hence, [tex]\displaystyle \large{b_n = 8(2)^{n-1}}[/tex] - recall geometric sequence formula below:

[tex]\displaystyle \large{a_n = a_1r^{n-1}}[/tex]

The sequence of difference [tex]\displaystyle \large{b_n=8(2)^{n-1}}[/tex] can be simplified to:

[tex]\displaystyle \large{b_n=2^3(2)^{n-1}}\\\displaystyle \large{b_n=2^{n+2}}[/tex]

Now to find the original sequence:

[tex]\displaystyle \large{a_n = a_1 + \sum_{k=1}^{n-1}b_k}[/tex]

Hence:

[tex]\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}[/tex]

Recall:

[tex]\displaystyle \large{\sum_{k=1}^{n-1} a_1r^{n-1} =a_1\left( \dfrac{1-r^{n-1}}{1-r}\right)}[/tex]

Therefore:

[tex]\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{1-2}\right)}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{-1}\right)}\\\\\displaystyle \large{T_n=5+8(-1+2^{n-1})}\\\displaystyle \large{T_n=5-8+8(2)^{n-1}}\\\displaystyle \large{T_n=2^{n+2}-3}[/tex]

Therefore, the sequence for 5,13,29 is [tex]\displaystyle \large{2^{n+2}-3}[/tex].

Therefore, in figure 30:

[tex]\displaystyle \large{T_{30}=2^{30+2}-3}\\\displaystyle \large{T_{30}=2^{32}-3}\\\displaystyle \large{T_{30}=4294967293}[/tex]

Therefore, there are 4294967293 dots in figure 30

Answer:

x less thsn 4

Step-by-step explanation:

hope it helps

Answer: C. x less than 4

Step-by-step explanation:  X is not the variable being subtracted, and 4 is the variable being subtracted, therefore the answer is C. x less than 4 because this does not describe x - 4

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

We have given

6 sprinklers are shown on gridlines.

Each sprinkler has a diameter of 6 feet.

The irrigation design for a new backyard is shown with six sprinkler heads and two walkways.

One sprinkler has a diameter of 6 feet.

So the radius is 3.

The area for one sprinkler is given by,

[tex]A=\pi r^{2}[/tex]

[tex]A=3.14\times 3^2\\A=28.26[/tex]

So the area covered by one sprinkler is 28.26 feet ^2.

For six sprinkler is given by

[tex]=6\times 28.26[/tex]

=169.64 ft^2

The answer is B.

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

To learn more about the area visit:

https://brainly.com/question/3948796

Answer:

b

Step-by-step explanation:

Answer:

13 teams

Step-by-step explanation:

You have 351 children, and each team has 27 players.
Putting this into an equation you get:

351 ÷ 27 = x
x = 13

Answer:

(-1,-3)

Step-by-step explaintion:

hope this helps!!

btw i just chnaged the x and y sign coordinates, thats all u needa do !!

The volume of the cylindrical straw of diameter 6 mm and length of 270 mm is 7630.20 mm³

volume of a cylinder = πr²h

Therefore,

Hence,

radius = r = 6 / 2 = 3 mm

volume of the cylinder = 3.14 × 3² × 270

volume of the cylinder = 3.14 × 9 × 270

volume of the cylinder = 7630.2 mm³

Therefore, the volume of the straw is 7630.2 mm³

learn more on cylinder here: https://brainly.com/question/15723055

#SPJ1

Answer:

1 x 106

Step-by-step explanation:

Answer:

If simple interest: $5,300

If compounding interest: $5,304.50

Step-by-step explanation:

**As you haven't specified if the interest is simple or compounding, I have provided both**

[tex]\sf Formula:A = P(1 + rt)[/tex]

where:

Given:

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A = 5000(1 + 0.03 \cdot 2)[/tex]

[tex]\implies \sf A = 5000(1.06)[/tex]

[tex]\implies \sf A = 5300[/tex]

[tex]\sf Formula:A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A=5000(1+\frac{0.03}{1})^2[/tex]

[tex]\implies \sf A=5000(1.03)^2[/tex]

[tex]\implies \sf A=5304.5[/tex]

Answer:

$20.83

Step-by-step explanation:

cost of fuel purchased =$79.17

amount given to the clerk= $100

amount of change she should receive= 100-79.17

= $20.83

El número de puntos visibles para el será de 84.

Dado que Luis forma una torre con seis dados normales colocados sobre una mesa, para determinar cuántos puntos cómo mínimo son visibles para él se debe realizar el siguiente cálculo:

La suma de la cara del dado ubicada boca abajo, más su contraria, siempre dará 7. Por ende, en tanto 1 + 2 + 3 + 4 + 5 + 6 - 7 = 14, y 14 x 6 es igual a 84, el número de puntos visibles para el será de 84.

Aprende más sobre sumas en https://brainly.com/question/16620242

Answer:El número de puntos visibles para el será de 84.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

  k = p/(rs)

Step-by-step explanation:

The equation that represents p varying jointly with r and s will be ...

  p = k·r·s . . . . . . . . for some constant of variation k

__

Solving this equation for k gives ...

  k = p/(rs) . . . . . divide by the coefficient of k

Based on the details above, the lender's good faith estimate is one that is within 0.25% of the actual closing costs.

A Good Faith Estimate commonly referred to as GFE, is known to be a kind of situation where a lender is given to a person  as one request or apply for a  form of reverse mortgage.

Note that the Lenders often needs a Good Faith Estimate (GFE) for about a period of three business days one getting the loan application. This will explain your loan terms and costs linked with the loan.

From the above, , the lender's good faith estimate is one that is within 0.25% of the actual closing costs and thus can tell the costs linked with the loan.

Learn more about good faith  from

https://brainly.com/question/24725464

Answer:

is D. the lender made a very poor estimate; it was between 0.5% and 0.75% from the actual closing cost

Step-by-step explanation:

I saw the answer on quizlet

Answer:

81

Step-by-step explanation:

[tex]3^{2} =9[/tex]

[tex]9(9)=81[/tex]

Answer:

30

Step-by-step explanation:

10,10,20,20,20,20,30,30,30,30,40,50,50,60

The two numbers in the middle are 30 and 30.

30 + 30=60

60/2=30

Hope it Helps

Answer:

(-6,-11).

Step-by-step explanation:

Hope this helps! Have a great day.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 9 + 4}{2}~~~ ,~~~ \cfrac{ 7 -1}{2} \right)\implies \left(\cfrac{13}{2}~~,~~\cfrac{6}{2} \right)\implies \left( 6\frac{1}{2}~~,~~3 \right)[/tex]

Answer:

D

Step-by-step explanation:

The combined expenses for year 3 and 4 are 600,000 + 700,000 which equal 1,300,000. The combined income for year 3 and 4 are 400,000 + 600,000 which equal 1,000,000. 1,300,000 (the combined expenses for year 3 and 4) is also 300,000 greater than 1,000,000 (the combined income for years 3 and 4)

Answer:

the new volume is

v = 5508

Answer:

False, plants can be anything, take grass and trees and cacti, plant just need photosynthesis.

Step-by-step explanation:

You see, plants aren't based on if they are a flower or not

Answer:

3.154e+10

Step-by-step explanation:

The milliseconds unit number 31,536,000,000.00 ms converts to 1 yr, one calendar year.

Or for how many milliseconds is 365 days in a year?

The answer is one Year is equal to 31557600000 Milliseconds.

Answer:

3.154e+10, 30 billion milliseconds are in one calendar year.

Answer:

[tex]y = \dfrac{2x}{5} - \dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)[/tex]

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

[tex]:\implies y - 1 = \dfrac{2}{5} (x - 3)[/tex]

Simplify the R.H.S:

[tex]:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}[/tex]

Add 1 both sides:

[tex]:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1[/tex]

Simplify the equation:

[tex]:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}[/tex]

[tex]:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}[/tex]

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [tex][\bold{\frac{-1}{5} }][/tex] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

Answer:

-------------------

Step-by-step explanation:

while the other answer is not wrong in this case, it is not complete.

"congruent angle" means the angles are equal.

so, yes, diagonally down is one, but also at exactly the same 2 spots over at the intersection point of the blue line with the second parallel red line.

Answer:

c. x>1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x

-26 + 13x > -13x

13x + 13x > 26

26x > 26

= x>1

Answer:

Number is "n" (.40* n)-10=-4

Step-by-step explanation:

i found this off of the Internet hope this helps

Answer:

$10

Step-by-step explanation:

1.24+6.43+2.13= 9.8

9.8 rounded to the nearest dollar is $10.

You can do it a different way, rounding the numbers before adding.

this would be:

1.3+6.4+2.1= 9.8

Either way, you get the same number. 9.8

And 9.8 rounded to the nearest dollar is $10

All the best, -Crispin

Answer:

$1.00

$6.00

$2.00

The estimated cost is $9.00

Step-by-step explanation:

1.24 = The 2 in 1.24 is smaller than 5 so you round down

6.43 = The 4 in 6.43 is smaller than 5 so you round down

2.13 = The 1 in 2.13 is smaller than 5 so you round down

[tex]\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\m\angle A + m\angle B =180\\\\\implies 2x-14+3x-6 = 180\\\\\implies 5x -20 = 180\\\\\implies 5x = 180+20\\\\\implies 5x = 200\\\\\implies x =\dfrac{200}5\\\\\implies x = 40\\\\\text{Hence, the measure of angle A is}~ m\angle A = (2\cdot 40 -14)^{\circ} = 66^{\circ}[/tex]

Check the picture below, so the hyperbola looks more or less like so, hmmm so is a vertical one, so is opening towards the y-axis, meaning the fraction that is positive is the one with the y-variable, its traverse axis length is 4 units, from +2 to -2, meaning that a = 2, and the distance either focus to the center is √5, so

[tex]\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ a=2\\ c=\sqrt{5} \end{cases}\qquad \cfrac{(y- 0)^2}{ 2^2}-\cfrac{(x- 0)^2}{ b^2}=1[/tex]

[tex]\sqrt{5}=\sqrt{2^2+b^2}\implies 5=4+b^2\implies 1=b^2\implies \sqrt{1}=b\implies 1=b \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y- 0)^2}{ 2^2}-\cfrac{(x- 0)^2}{ 1^2}=1\implies \cfrac{y^2}{4}~~ - ~~x^2~~ = ~~1[/tex]