Find the sixth term of the sequence 1/2, -3/8, 9/32

A. 243/2048
B. -243/2048
C. 81/1024
D. -81/1024

Answers

Answer 1

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

Answer 2

Answer:

B edge

Step-by-step explanation:


Related Questions

Solve for the variable z in this equation 2y(x+z)=w

A. Z = w-2xy/2y
B. Z = 2w-2xy/2y
C. Z = w-2x/2y
D. Z = w-xy/2y

Answers

Answer:

I think is a for the answer

the simplified value of the given expression 2y (x+z) = w for z will be z = (w- 2xy)/2y.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, an expression 2y (x+z) = w

Simplifying the given expression for z

=> 2y (x+z) = w

divide by 2y into both sides

=> x + z = w/2y

subtract by x into both sides

=> z = w/2y - x

=> z = w-2xy /2y

thus,

z = (w- 2xy)/2y

therefore, the simplified value of the given expression 2y (x+z) = w for z will be z = (w- 2xy)/2y.

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Lilly owes $52,000 in student loans for college. If the loan will be repaid in 5.5 years and the interest rate charged is 6.75%,then how much will she pay altogether?

Answers

Answer:

55510

Step-by-step explanation:

(URGENT) Can someone help me find x, I’ve gotten it wrong twice.

Answers

Answer:

  x = 24.10

Step-by-step explanation:

The given sides of the triangle are the hypotenuse (x) and a side of length 20 that is adjacent to the 34° angle and opposite the 56° angle.

The mnemonic SOH CAH TOA reminds you of relationships between the hypotenuse and adjacent or opposite sides:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If we want to use the "adjacent" side, we would choose ...

  cos(34°) = 20/x

  x = 20/cos(34°) ≈ 20/0.83 ≈ 24.10 . . . . . rounding according to instructions

__

If we want to use the "opposite" side, we would choose ...

  sin(56°) = 20/x

  x = 20/sin(56°) ≈ 20/0.83 ≈ 24.10 . . . . . rounding according to instructions

_____

Comment on rounding

If you round correctly (only at the last step), the proper answer is 24.12.

Enter the values for a and b that complete

the sum:

3/x + 5/x^{2} =ax+b/x^{2}

Answers

ANSWER

a=3, b=5

EXPLANATION

The given equation is

[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } = \frac{ax + b}{ {x}^{2} } [/tex]

We simplify the left hand side.

We collect LCD to obtain:

[tex] \frac{3x + 5}{ {x}^{2} } = \frac{ax + b}{ {x}^{2} } [/tex]

Both sides of the equation are now the same.

By comparing the coefficients of x, we have

[tex]a = 3[/tex]

By comparing the constant terms

[tex]b = 5[/tex]

Answer:

For the first part

A=3

B=5

For the second part

M=3

N=14

P=2

Step-by-step explanation:

Right on edge 2020

The length and width of a rectangle are consecutive even integers. The perimeter is 68 meters. Find the length
and width
The length is
meters long while the width is
meters

Answers

Answer:

The dimensions are 16 meters by 18 meters

Step-by-step explanation:

P = 2(l+w)

is the formula for the perimeter of a rectangle.

We know the length is 2 more than the width ( consecutive even integers)

l = w+2

P = 2 (w+2+w)

P = 2(2w+2)

68 = 2 (2w+2)

Divide each side by 2

34 = 2w+2

Subtract 2

34-2 = 2w+2-2

32 = 2w

Divide by 2

32/2 = 2w/2

16 =w

l = w+2

l =16+2

l = 18

The dimensions are 16 meters by 18 meters

the width of the rectangle is 16 meters and the length is 18 meters.

To find the length and width of a rectangle when given that the length and width are consecutive even integers and the perimeter is 68 meters, we first need to express the length and width in algebraic terms. Let's call the width 'w' and since the length is the next consecutive even integer, it can be expressed as 'w + 2'. The formula for the perimeter (P) of a rectangle is P = 2l + 2w, where 'l' is the length and 'w' is the width. In this case, since width is 'w' and length is 'w + 2', the perimeter formula becomes P = 2(w+2) + 2w.

Let's solve for 'w':
68 = 2(w + 2) + 2w
68 = 2w + 4 + 2w
68 = 4w + 4
64 = 4w
w = 16
Now that we have the width, we can easily find the length:
l = w + 2
l = 16 + 2
l = 18

Therefore, the width of the rectangle is 16 meters and the length is 18 meters.

Write an even square number smaller than 100.

Answers

Answer:

I believe you mean what square number that is less than 100 has the most factors.  

The square numbers under 100 are 1, 4, 9, 16, 25, 36, 49, 64, and 81.  

1 obviously only factors to 1*1.

4, 9, 25, and 49 are square of prime numbers. If we call the original number n and the root p (for prime) each of them can only be factored as 1*n or p*p. example: 1*4, 2*2 .We can eliminate those.  

16 and 81 are not only squares, but the fourth power of a prime (2 and 3) respectively. They can be factored as 1*n, (p^3)*p, or (p^2*p^2). Example: 1*16, 8*2, or 4*4.

But 36 is 2*2*3*3 as it’s prime factoring. This allows us to find more combinations of factors: 1*36, 2*18, 4*9, 12*3, or 6*6.

Final answer:

The largest even square number smaller than 100 is 64, which is the square of 8.

Explanation:

To find an even square number smaller than 100, we can look at the squares of the even numbers less than 10, since 10² (which is 10 times 10) equals 100. Squaring each even number from 2 to 8, we get the following even square numbers: 2²=4, 4²=16, 6²=36, and 8²=64. Among these, 64 is the largest even square number that is less than 100.

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Answers

Answer:

1.25.

Step-by-step explanation:

The common ratio r  is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity =  a1 / (1 - r)

=  1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

Answer:

Step-by-step explanation:

1.25

Please help me! Will mark brainliest!

Answers

Answer:

  x = 8

Step-by-step explanation:

The 12 on the right is 1/3 the number 36 on the segment above. The value of x will have the same proportion to the segment above it, so will be 1/3 of 24, or 8.

  x = 8

Jacob is practicing javelin throws. He throws the javelin from a height of 6 feet. The height of the javelin, h(x), in relation to the horizontal distance that it covers, x, can be modeled by a quadratic function.

Each of the following functions is a different form of the quadratic model for this situation. Which form is most helpful in determining the horizontal distance the javelin covers?

A. h(x)= -0.01(x-150)(x+4)
B. h(x)= -0.01(x-73)^2+ 59.29
C. h(x)= -0.01x(x-146)+6
D. h(x)= -0.01x^2+1.46x+6

Answers

Answer: Option A

[tex]h(x) = -0.01 (x-150) (x + 4)[/tex]

Step-by-step explanation:

The javelin will have reached its maximum horizontal distance when it touches the ground.

Then the maximum horizontal distance occurs when the height h (x) is equal to zero.

So we must equal h(x) to zero and solve the equation for x.

Therefore the form that is most useful to determine the horizontal distance that the javelin covers is the one that is factored. Because it allows us to find the zeros of the quadratic function more easily

[tex]h(x) = -0.01 (x-150) (x + 4) = 0[/tex]

[tex]-0.01 (x-150) (x + 4) = 0[/tex]

The equation is equal to zero when [tex]x = 150[/tex] or when [tex]x = -4[/tex]

Therefore the solution is [tex]x = 150[/tex].

The horizontal distance that covers the javelin is 150 feet

Answer:

The answer is A

Step-by-step explanation:

I am 100% sure cuz I just did the test:)

Two rectangals are similar. The ratio of their coresponding sides is 1:4what is the ratio of thier preimeters

Answers

Step-by-step answer:

Between similar figures, if the ratio between the sides is k, then

- ratio between linear measurements, such as diagonals, perimeter, width, heights, etc, are also linear.

Therefore, if the ratio of the corresponding sides is 1:4, the ratio of their perimeters is also 1:4.

Note:

the ratio of area measurements,  or surface areas of similar solids, are proportional to k^2.

Similarly, the ratio of volumes of similar solids are proportional to k^3.

URGENT! thanks!


Bonnie makes the frame of a cube out of 12 pieces of wire that are each six inches long. Meanwhile Roark uses 1-inch-long pieces of wire to make a collection of unit cube frames that are not connected to each other. The total volume of Roark's cubes is the same as the volume of Bonnie's cube. What is the ratio of the total length of Bonnie's wire to the total length of Roark's wire? Express your answer as a common fraction.

Answers

Answer:

1/36

Step-by-step explanation:

Bonnie uses 12×6" = 72" of wire to make her cube.

Roark uses 12×1" = 12" of wire to make each of his cubes. He must make 6³ = 216 cubes to match the volume of Bonnie's cube.

The ratio of wire lengths is then ...

72/(12×216) = 6/6³ = 1/6² = 1/36

Can someone please explain to me how to do this?

1. Write an algebraic expression that simplified to -3x - 1. Simplify the expressions to verify your answer.

2. Write an algebraic expression that simplified to -7x - 4. Simplify the expressions to verify your answer.

Answers

Answer:

  1. (-10x -5) -(-7x -4)

  2. (-10x -5) -(-3x -1)

Step-by-step explanation:

The process of simplifying an expression generally involves eliminating parentheses, collecting terms, simplifying fractions, rationalizing denominators, removing appropriate factors from under radicals, and generally putting expressions into general form.

So, to accomplish what the problem is asking, you can create an expression that requires you accomplish as many or as few of these steps as you may like.

In general, you will want to both "do" and "undo" whatever operation(s) you may choose. For example, consider a couple of expressions "a" and "b". For this example, we want our final result to simplify to "a".

If we choose to add "b", we might have ...

  (a+b) -b . . . . . we have both added and subtracted b, so the simplified result is "a"

If we choose to multiply by "b", we might have ...

  (ab)/b . . . . . . we have both multiplied by b and divided by b, so the simplified result is again "a"

_____

We can solve both these problems at once by using ...

a = -3x -1b = -7x -4

If we choose the first approach, we want an expression that is (a+b). That will be ...

  a+b = (-3x -1) +(-7x -4) = -10x -5

By subtracting "b" from this expression, we get "a"--and vice versa. That is ...

(-10x -5) -(-7x -4) . . . simplifies to . . . -3x -1(-10x -5) -(-3x -1) . . . simplifies to . . . -7x -4

_____

Alternate solution to 2

Suppose we choose to multiply instead. Let "b" be -3x+2. Then, using the template for multiplication above, we can write the expression

  (-7x -4)(-3x +2)/(-3x +2) = (21x^2 -2x -8)/(-3x +2)

and we know this rational expression simplifies to -7x -4.

_____

Of course, we can be as elaborate as we might like in modifying the original expression. Whatever we do, we must also include the "undo" so the original expression is recovered when we simplify. To illustrate the point, we can add and subtract 2x from the above rational expression.

  ((21x^2 -2x -8)/(-3x +2) + 2x) - 2x = (21x^2 -2x -8 +2x(-3x +2))/(-3x +2) - 2x

  = (21x^2 -2x -8 -6x^2 +4x)/(-3x +2) -2x

  = (15x^2 +2x -8)/(-3x +2) -2x . . . . . . another alternate solution to #2.

If we're not careful, we can create an expression that is extremely difficult to simplify. The one we have here can be factored to be ...

  (-5x -4)(-3x +2)/(-3x +2) -2x = -5x -4 -2x = -7x -4 . . . our original #2 expression

Knowing that it can be factored is a big help.

A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height?

Answers

Answer:

20 seconds

Step-by-step explanation:

We just need the x-coordinate of the vertex...so find -b/(2a) and we are done:

-b/(2a)=-640/(2*-16)=-640/-32=20

20 second

Answer:

[tex]\boxed{\text{20 s}}[/tex]

Step-by-step explanation:

The standard form of a quadratic function is  

y = ax² + bx + c

Your function is

h(t) = -16t²+ 640t

a = -16; b = 640; c = 0

a is negative, so you have a downward-opening parabola.

The vertex form of a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b/(2a) and k = f(h)

Your parabola opens downward, so the vertex is a maximum.

Calculate h

[tex]h = \dfrac{640}{-2(-16)}} = \dfrac{640}{32} = 20\\\text{The projectile reaches maximum height }\boxed{\textbf{20 s}} \text{after it is thrown}\\[/tex]

The figure below shows the graph of h(t).

if ABCD is an isosceles trapezoid, what is the value of x

Answers

Answer:

Since we know that ABCD is an isosceles trapezoid, we can also asume that its diagonals have the same length, which means:

AC = BD

=> 7x - 21 = 5x + 13

=> 7x - 5x = 21 + 13

=> 2x        = 34

=> x           = 34/2 = 17

So the answer is C.

Since we know that ABCD is an isosceles trapezoid, the value of Option C. x= 17

we can also assume that its diagonals have the same length, which means:

AC = BD

=> 7x - 21 = 5x + 13

=> 7x - 5x = 21 + 13

=> 2x        = 34

=> x          = 34/2 = 17

So the answer is C.

An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. A trapezoid is a quadrilateral with only one of its sides parallel. An isosceles trapezoid has many interesting properties that make it unique and help us differentiate it from the other quadrilaterals

Properties of Isosceles TrapezoidIt has an axis of symmetry. It has no rotational symmetry and one line of symmetry joining the midpoint of the parallel sides.One pair of sides is parallel and they are the base sides. (AB II DC in the given image)The remaining sides other than the base are non-parallel and are equal in length. (c = d in the given image)The diagonals are the same in length. (AC = BD)The base angles are the same. (∠D = ∠C, ∠A=∠B)The sum of opposite angles is 180° or supplementary. (∠A + ∠C = 180° and ∠B + ∠D = 180°)The line segment joining the midpoints of the parallel sides is perpendicular to the bases. (PQ ⊥ DC)

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please help will mark brainliest

Answers

One number to the right of the decimal will mean there are two numbers to the left of the decimal.

When rounding to 50 as the nearest ten the number needs to be between 45 and 54.

Using the 3 numbers shown that would be 48.3

A sports team came to town. The stadium filled all 10,000 seats at two-level pricing. Level 1 tickets are $50 each, and level 2 tickets are $150 each. The stadium made $75,000 in ticket sales. The system of equations that models this scenario is:

x + y = 10,000
50x + 150y = 75,000

What do the x and y represent in the system?

A.x represents the number of level 2 tickets; y represents the number of level 1 tickets
B.x represents the cost of level 1 tickets; y represents the cost of level 2 tickets
C.x represents the cost of level 2 tickets; y represents the cost of level 1 tickets
D.x represents the number of level 1 tickets; y represents the number of level 2 tickets

Answers

Answer: D

Step-by-step explanation:

Answer:  The correct option is

(D) x represents the number of level 1 tickets; y represents the number of level 2 tickets

Step-by-step explanation:  Given that a sports team came to town. The stadium filled all 10,000 seats at two-level pricing. Level 1 tickets are $50 each, and level 2 tickets are $150 each. The stadium made $75,000 in ticket sales.

The system of equations that models this scenario is:

x + y = 10,000

50x + 150y = 75,000

We are to find the terms that x and y represents.

Since the total number of seats is 10000 and it is given that x + y = 10000, so x and y represents the number of tickets.

Also, since the price of one level 1 tickets is $50 and that of one level 2 ticket is $150 and 50x + 150y = 75000, so

x represents the number of level 1 tickets; y represents the number of level 2 tickets.

Thus, (D) is the correct option.


Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.

480 minutes
180 minutes
8 minutes
3 minutes

Answers

Answer:

  180 minutes

Step-by-step explanation:

Starting with the distance formula ...

  d = rt

dividing by the coefficient of t will give an equation for t:

  t = d/r

Ryan's rate of 4 miles per hour can be expressed in minutes as 4 miles per 60 minutes. The Ryan's time is ...

  t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 min

Ryan's time is 180 minutes.

Answer:

180 MINUTES

Step-by-step explanation:

I TOOKTHE TEST ON FLVS

If the given sequence is a geometric sequence, find the common ratio.

3/3, 3/12, 3/48, 3/192, 3/768

a. 4

b. 1/30

c. 30

d. 1/4

Answers

Answer:

  d.  1/4

Step-by-step explanation:

The common ratio will be the ratio of any two adjacent terms:

  (3/12)/(3/3) = (1/4)/1 = 1/4

Answer:

d

Step-by-step explanation:

If the sequence is geometric then a common ratio r will exist between consecutive terms.

[tex]\frac{3}{12}[/tex] ÷ 1 = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{3}{48}[/tex] ÷ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{3}{192}[/tex]  ÷ [tex]\frac{3}{48}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{3}{768}[/tex] ÷ [tex]\frac{3}{192}[/tex] = [tex]\frac{1}{4}[/tex]

A common ratio of r = [tex]\frac{1}{4}[/tex]

Hence sequence is geometric

Please help me! Will mark brainliest!

Answers

Answer:

A 2sqrt(7)

Step-by-step explanation:

Use similar triangles and ratios of lengths of corresponding sides.

2/x = x/14

x^2 = 28

x = 2sqrt(7)

PLEASE HELP ME!!! WILL GIVE BRAINLIEST!!!!,find (f+g)(x) for the following functions.
f(x)=6x^2+9x+8
g(x)=4x+6

Answers

Answer:

[tex](f+g)(x)=6x^2+13x+14[/tex]

Step-by-step explanation:

(f+g)(x) simply means that you are adding f(x) to g(x) to get a new equation that is the sum of them.

[tex]6x^2+9x+8+4x+6[/tex]

simplifies down to, by combining like terms,

[tex]6x^2+13x+14[/tex]

During the spring and summer, a concession stand at a community Little League baseball game field sells soft drinks and other refreshments. To prepare for the season, the concession owner refers to the previous year's files, in which he had recorded the daily soft drinks sales (in gallons) and the average daily temperature (in degrees Fahrenheit). Using the coordinates of the two points (84,80) and (74,65), determine the slope of the line of best fit.

Answers

Answer:

  1.5

Step-by-step explanation:

The slope is given by ...

  (change in dependent variable)/(change in independent variable)

  = (65 -80)/(74-84) = -15/-10 = 1.5

The slope of the line of best fit is 1.5.

Answer:

The slope of the line of best fit is 1.5 degrees Fahrenheit per gallon.

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The given two points are (84,80) and (74,65).

The slope of the line of best fit is

[tex]m=\frac{65-80}{74-84}[/tex]

[tex]m=\frac{-15}{-10}[/tex]

[tex]m=1.5[/tex]

Therefore the slope of the line of best fit is 1.5 degrees Fahrenheit per gallon.

PLS HELP ME.

A strip of metal sheet 2cm thick is wound ten times round a cylindrical rod of diameter 9cm and height 8cm such that it fits exactly .calculate the volume of the resulting object [take pi = 22/7 ]

Answers

Answer:

15092cm^3

Step-by-step explanation:

The total thickness of the strip of metal sheet  would be 2*10=20cm

the new radius of the cylinder would be 9/2+20=24.5cm

Volume of a cylinder: ((pi)r^2)h

the height is 8cm

Volume : (22/7)*24.5^2*8

=15092cm^3

Find the area of the shaded sector. Round your answer to the nearest tenth. Use 3.14 for π.



A. 141.3 m2

B. 22.5 m2

C. 3.8 m2

D. 70.7 m2

Answers

Answer:

B

Step-by-step explanation:

The area of the shaded sector Rounded to the nearest tenth, is 22.5

How to find the area of a sector of a circle?

Sector of a circle is like slice of a circular pizza. Its two straight edge's having an angle, and edge's length(the radius of the circle) are two needed factors for finding the area of that sector.

If the entire circle was shaded the radius sweeping out the circle would go through 360 degrees.

Too solve this problem is to multiply the entire area of the circle by (81/360)

Area of the sector = (81/360) x  π x r^2

π = 3.14

r = cm

Area of the sector = (81/360) x 3.14 x 8.91^2

Area of the sector = 22.5

The area is 22.5 m2

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what is the exact solution of 2e^x=14?

Answers

[tex]2e^x=14\\e^x=7\\x=\ln 7[/tex]

The difference between two numbers is 10. The greater number is b. Write an expression that represents the lesser number.

Answers

Answer:

B-10=N

Step-by-step explanation:

N is the lesser number. So if B is the greater number & there is a difference of 10 this would be your expression

What are the next three numbers in this pattern

Answers

Hello There!

Divide by 3 each time

so

#1 is 9, because 27/3 = 9

#2 is 3, because 9/3 = 3

#3 is 1, because 3/3 = 1

So your answer is 9, 3, 1

What is the value of log625^5

Answers

Answer:

Value of log625^5 is 13.95

Step-by-step explanation:

We need to find the value of log625^5

Using log rule log a^n = nloga

log625^5

= 5log625

=5(2.79)

=13.95

So, value of log625^5 is 13.95

Answer with explanation:

We have to find the value of :

  [tex]\rightarrow\log 625^5\\\\\rightarrow 5 \log625\\\\\rightarrow 5 \log 5^4\\\\\rightarrow 4 \times 5 \log 5\\\\ \rightarrow 20 \log 5\\\\\rightarrow 20 \times 0.69897\\\\ \rightarrow 13.9794\\\\=13.98\\\\ \text{Used following properties of log}\\\\ \log a^b=b \log a[/tex]  

Which equation and solution can be used to solve this problem?
Thirteen less than a number is sixteen.
13-n=16: Add 13 to both sides. The answer is 29.
n+13=16: Subtract 13 from both sides. The answer is 3.
n+16=13 Subtract 13 from both sides. The answer is 3.
n-13=16: Add 13 to both sides. The answer is 29.

Answers

Answer:

n = 29

Step-by-step explanation:

We need to find an equation that represents the following statement: "Thirteen less than a number is sixteen" which is the same as: "A number minus thirteen equals sixteen"

In that sense, the equation that represents that statement is: n - 13 = 16

Now, the solution is:  n - 13 = 16 → n = 29

Answer:

n = 29

Step-by-step explanation:

What is the solution to the equation?
k/6.4=8.7

2.3
5.568
15.1
55.68

Answers

[tex]\dfrac{k}{6.4}=8.7\Longrightarrow k=6.4\cdot8.7=\boxed{55.68}[/tex]

Hope this helps.

r3t40

For this case we have the following equation:

[tex]\frac {k} {6.4} = 8.7[/tex]

We must find the value of the variable "k":

Then, we must multiply by 6.4 on both sides of the equation:

[tex]6.4 * \frac {k} {6.4} = 6.4 * 8.7\\k = 55.68[/tex]

Thus, the value of the variable "k" is 55.68.

Answer:

[tex]k = 55.68[/tex]

Option D

On the first day of camp, 5 10 of the skaters were beginners. Of the beginners, 2 6 were girls. What fraction of the skaters were girls and beginners? Complete the explanation. of the skaters were girls and beginners

Answers

Answer:

1/6

Step-by-step explanation:

5/10(3/3)=15/30

2/6(5/5)=10/30

15/30 - 10/30= 5/30 = 1/6

Answer: 1/6

Step-by-step explanation:

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