Steven has identical twin sisters who were born only five minutes apart. Steven is 12 years old. If the combined ages of Steven and his twin sisters equal 42 years, how old are his sisters? Part One: Select the equation that should be used to solve this question correctly. Steven is 12 years old. If the combined ages of Steven and his twin sisters equal 42 years, how old are his sisters? Part Two: Use the equation you selected in Part One find out the age of sisters. Write only a number or numbers as your answer.

Answer:C

Step-by-step explanation:

Answer:

x=-5.4

Step-by-step explanation:

Answer:

-5.4

Step-by-step explanation:

2x - 11 = 7x + 16

-11 = 5x +16

-27 = 5x

x = -5.4 (-27/5)

Answer:

267.1115

Step-by-step explanation:

Answer:

angle x= 7°

I hope it's helps you

9514 1404 393

Answer:

  2. A'(3, 13)

  4. A''(-3, 13)

  5. No

Step-by-step explanation:

2. The translation is represented by the transformation ...

  (x, y) ⇒ (x-4, y+8)

  A(7, 5) ⇒ A'(7-4, 5+8) = A'(3, 13)

__

4. The reflection is represented by the transformation ...

  (x, y) ⇒ (-x, y)

  A'(3, 13) ⇒ A''(-3, 13)

__

5. No. The location (-3, 13) is not the same as the original location (7, 5).

Answer:

[tex]y = \frac{12}{x} [/tex]

y= 4

Step-by-step explanation:

Since x and y are inversely proportional to each other,

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k.

When y= 6, x= 2,

[tex]6 = \frac{k}{2} [/tex]

k= 6(2)

k= 12 (×2 on both sides)

Substitute the value of k back into the equation:

[tex]y = \frac{12}{x} [/tex]

When x=3,

[tex]y = \frac{12}{3} [/tex]

y= 4

Answer:

[tex]=-39xy+24y[/tex]

Step-by-step explanation:

[tex]\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12[/tex]

[tex]=12xy-3xy-24\cdot \:2xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:24\cdot \:2=48\\=12xy-3xy-48xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:12\cdot \:2=24\\=12xy-3xy-48xy+24y\\\mathrm{Add\:similar\:elements:}\:12xy-3xy-48xy=-39xy\\=-39xy+24y[/tex]

Answer:

Step-by-step explanation:

h = 7 units

r = 3 units

Volume of cone = (1/3) *πr²h

                           [tex]= \frac{1}{3}* \frac{22}{7}*3*3*7\\\\= 22 *3\\\\= 66 cubic units[/tex]

If h = 7 units and r = 3 units, then what is the volume of the cone shown above ?

[tex] \bullet [/tex] Height (h) of the cone is 7 units.

[tex] \bullet [/tex] Radius (r) of the cone is 3 units.

The volume of the cone.

We know,

Formula of volume of cone is [tex]\frac{1}{3} [/tex]πr²h

So, Volume of the cone = [tex] \frac{1}{3} [/tex] × [tex] \frac{22}{7} [/tex] × (3)² × 7

= [tex] \frac{1}{3} [/tex] × [tex] \frac{22}{7} [/tex] × 9 × 7

= [tex] \frac{22 \: × \: 9 \: × \: 7}{3 \: × \: 7} [/tex]

= [tex] \frac{1386}{21} [/tex]

= 66 cubic units.

Answer:

4tp

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Tell me if I'm right

Answer:

18

Step-by-step explanation:

3 choices from each bag.

3 * 3

Now you have to allow for which bag is chosen first. The order matters.

dime yellow button is different from

yellow button dime

So the answer is 2 * 3 * 3 = 18

Answer: B

Step-by-step explanation:

It is B Beacuse you cant say its A beacsuse that wrong to the question you asked.

Answer:

Yes it is.

Step-by-step explanation:

Let the AP be a, a+d, a+2d, a+3d and so on, then

4a + 6d = 44 which gives

a = (22–3d)/2 = 11 -1.5d

Assume that the AP has n terms, then nth term is given as :

a + (n-1)d = 11 - 1.5d + (n-1)d = 11 - (n-2.5)d

The second equation then becomes:

(11 - 1.5d)(n-2.5d) = 140

which simplifies to

42n -110d - 6nd + 15d^2 = 560 or put simply

6n = 15d -5 - (5 * 7 * 17)/(d-7)

As n is an integer, so must be 6n and therefore so must be (5*7*17)/(d-7) which means d = 12, 14 or 24

which gives 6n = 56, 120 and 320 respectively.

Again as n is an integer, the only possible answer is n = 20, which occurs when d = 14 and a is -10 which gives us the series -10, 4, 18, 32 .. 256

The terms be a-3d,a-d, a+d,a+3d

Sum = 4*a = 44.

a = 11;

Product

( a-3d)(a+3d) = 140

11*11- 9*d*d = 140

d*d = - 19/9.

Negative. No real common difference.

The meaning of ‘ extreme' is important.

The AP has more than four terms.

a,a+d,a+2d,a+3d,….,a+(n-1)d.

Sum condition

4a + 6d = 44

2a + 3d = 11 eqn-1

Answer:

Yes, look at the picture I attached for explanation

Step-by-step explanation:

Answer:

f mZDEC = (12x – 3), mZBCE = (7x – 26), and mzDAE = 72°, find each angle measure. 12X-3+7X-36 =180. 19x-29 = 180. 19x - 309. X = 11 m<DEC = 12cu1-3.Step-by-step explanation:

Answer:

It has to be paid in 12 months.

Nothing has to be paid until month 12.

It it takes longer than 12 months to pay, a finance charge has to be paid.

Are all the correct answers

Step-by-step explanation:

The statements that mean the same as twelve months same as cash are:

"x time same as cash" means that you got x time to pay the cash without any additional cost. If you take more time than x time to pay the due amount, then you would have to pay extra.

Example: 5 months same as cash means you can pay the due cash amount without any additional fine. If you take more than 5 months to pay the amount, then additional payment would be charged.

Thus, the statements that mean the same as twelve months same as cash are:

Learn more about interests here:

https://brainly.com/question/5319581

Answer:

25%

Step-by-step explanation:

It has a 50% chance of being in D and A is half the size of D so 50/2=25%

Answer:

There is a 25% chance that a random point would fall in section A

Step-by-step explanation:

Let's first calculate the area of each section.

Area of a rectangle = length times width:

Area A; 2 * 6 = 12

Area B; 2 * 3 = 6

Area C; 2 * 3 = 6

Area D; 2 * 12 = 24

The total amount of area illustrated is found by adding each section area as 12 + 6 + 6 + 24. This is equal to 48.

Now, we must create a fraction for each section area by dividing the section area by this total number.

Area A; 12/48 = 1/4

Area B; 6/48 = 1/8

Area C; 6/48 = 1/8

Area D; 24/48 = 1/2

Now, we can create a percentage for which the area of A is chosen. Since A is equal to 1/4 of the volume, there is a 25% chance that a random point would fall in section A.

Answer:

Z= 20

Y= 16

X= 12

Step-by-step explanation:

Answer:

x int = (36,0)

y int = (0,2)

Step-by-step explanation:

Speed = distance / time

speed = 2/36 = 0.05555 Or 1/18 (as a fraction)

equation =      f(x) = 2 - x/18

graph

The equation that gives the distance f(x) left in miles as a function of the  number x of minutes she has been walking is [tex]f(x) = -\frac{x}{18} + 2[/tex]

The x-intercept of the graph is at (0, 2) which shows that the distance traveled at the beginning is 2 miles

The y-intercept of the graph is at (36, 0) which shows that no distance was covered when at when the time is 36 minutes

The general equation that represents the graph is expressed as:

[tex]f(x) = 2 - sx[/tex]

s is the speed of Kaitlyn

The formula for calculating the speed is expressed as;

[tex]speed = \frac{distance}{time}[/tex]

The function required will become;

[tex]f(x) = 2 - \frac{d}{t}x\\[/tex]

Given the following parameters

distance "d" = 2 miles

Time "t" = 36 minutes

Substitute the given parameters into the function as shown:

[tex]f(x) = 2 - \frac{2}{36}x\\f(x) = 2 - \frac{1}{18}x\\f(x) = -\frac{x}{18} + 2[/tex]

Hence the equation that gives the distance f(x) left in miles as a function of the  number x of minutes she has been walking is [tex]f(x) = -\frac{x}{18} + 2[/tex]

Get the y-intercept of the function:

If x = 0

[tex]f(x) = -\frac{0}{18} + 2\\f(x) = 2[/tex]

The y-intercept of the function is (0, 2)

Get the x-intercept of the function

[tex]0 = -\frac{x}{18} + 2\\-2 = -\frac{x}{18} \\x = 36[/tex]

Hence the x-intercept of the graph is expressed as (36, 0)

Learn more here; brainly.com/question/19859423

Answer:

5

Step-by-step explanation:

Data : 2, 4, 5, 7, 9

median = middle

5number

Answer:

5 is the answer hope the helped:)

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Substitute the values

(-4)+ (-2)/ 8

-6/ 8

Simplify by 2 (a common factor)

-6/2 = -3

8/2 =4

Answer:

1/3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

I used desmos.

Answer:

d

Step-by-step explanation:

i literally just did that

Answer:

D

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]

Step-by-step explanation:

First, we need to figure out a linear equation. When given two points - [tex](x_{1}, y_{1})[/tex]and [tex](x_{2}, y_{2})[/tex] - first subtract [tex]y_{1}[/tex] from [tex]y_{2}[/tex] and and [tex]x_{1}[/tex] from [tex]x_{2}[/tex]. So in your situation, it will be [tex]2-1[/tex] and [tex]5-2[/tex]. That equals [tex]1[/tex] and [tex]3[/tex], so your slope (how much the line moves up/down per unit) will be [tex]\frac{1}{3} x[/tex].

Next, we need to find the y-intercept. To solve using point-slope form, we will plug our numbers in:

[tex]y-y_{1} = m(x-x_{1})\\y-1=\frac{1}{3}(x-2)\\y-1=\frac{1}{3}x-\frac{2}{3}\\/+1=//+1\\y = \frac{1}{3}x+\frac{1}{3}[/tex]

So our final equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex], which passes through both [tex](2,1)[/tex] and [tex](5,2)[/tex]. Hope this helps :)

Answer:

15%

Step-by-step explanation:

Subtract 180 from 207 = 27

Divide 27/180 = 0.15

0.15=15%

15%

Answer:

J. 15%

Step-by-step explanation:

Find which percent of 180 added back to 180 would equal 270

15% * 180 = 27.00

180+27 = 207

Answer:

look cuh yo no sabo cuhhhhhh

Step-by-step explanation:

no sabo weys

Answer:

The answer is 0 though im not sure  if its not 0 then its 5

Step-by-step explanation:

Answer:

C. 5 min

Step-by-step explanation:

have a good day! :)

Answer:

1.32 not zero

Step-by-step explanation: