Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

[tex]825\div(-215)=-\dfrac{825}{215}=-\dfrac{825:5}{215:5}=-\dfrac{165}{43}=-3\dfrac{36}{43}[/tex]

Hi there!

The following number in words will be,

Seventy nine thousand, five hundred thirty one.

Hope this helped!~

Hello!

79,531 is pronounced seventy-nine, thousand, five hundred and thirty-one.

Hope this helps! ~Pooch ♥

Answer:

50 mph = 50 miles per 60 minutes = 50*105/60 miles in 105 minutes = 87.5 miles.

Step-by-step explanation:

At a constant speed of 60 mph, you are traveling 1 mile per minute. It will take you 50 minutes to travel 50 miles.

hope this helps

Answer:

The beginning number was 24.

Step-by-step explanation:

38

32 - 13 equals 19.

19 x 2= 38

Answer:

Option c is correct.

The sequence is, 2, -3 , -8 , -13, -18, .....

Step-by-step explanation:

Given the following as;

f(1) = 2

The recursive function is;[tex]f(n) = f(n-1) -5[/tex]             ......[1]

to find the sequence defined by the recursive function;

Put n=2 in [1];

[tex]f(2) = f(2-1) -5[/tex]

[tex]f(2) = f(1) -5[/tex]

Substitute the value of f(1) = 2 we have;

[tex]f(2) = 2-5 = -3[/tex]

Similarly, put n =3

[tex]f(3) = f(3-1) -5[/tex]

[tex]f(3) = f(2) -5[/tex]

Substitute the value of f(2) = -3 we have;

[tex]f(3) = -3-5 = -8[/tex]

for n = 4 we have;

[tex]f(4) = f(4-1) -5[/tex]

[tex]f(4) = f(3) -5[/tex]

Substitute the value of f(3) = -8 we have;

[tex]f(4) = -8-5 = -13[/tex] and so on .......

Therefore, we get the sequence defined by the recursive formula is,

2, -3 , -8 , -13, -18, .........

Answer:

36%

Step-by-step explanation:

9/25

multiply each by 4 to get 36/100

as a percent it would be 36%

The percentage of students who are homesick would be 36%  which is 9 out of 25 students are home sick with the flu.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

We have been given that 9 out of 25 students are home sick with the flu.

We have to determine the percentage of students who are homesick

⇒ (9/25) × 100

Apply the division operation, and we get

⇒ 0.36 × 100

Apply the multiplication operation, and we get

⇒ 36%

Therefore, the percentage of students who are homesick would be 36%.

Learn more about the percentages here:

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Answer:

Maria made = $124.94

hope it helps

Step-by-step explanation:

if they made $187.41 and maria is getting twice a much as Andrew you'll divide 187.41 by 3 because maria is getting twice as more

187.41 ÷ 3 = 62.47

Andrew =  62.47

Maria = 62.47 x 2 = 124.94

to check your answer by adding 124.94 and 62.47 and should equal to the money made in total

124.94 + 62.47 = 187.41

Maria's profit from the lemonade stand business is calculated by dividing the total profit by 3 and then multiplying that amount by 2, as she is to receive twice as much as Andrew.

The question involves calculating Maria's share of the profit from their lemonade stand business. With a total profit of $187.41, and the agreement that Maria should receive twice as much as Andrew, we can set up an equation to solve the problem. Let's denote Maria's profit as M and Andrew's profit as A. The equation based on their agreement is M = 2A. Since the total profit is their profits added together, we have another equation: M + A = $187.41. Substituting the first equation into the second, we get: 2A + A = $187.41, which simplifies to 3A = $187.41. Dividing both sides by 3 to isolate A, A = $187.41 / 3. Calculating this gives us Andrew's profit, and multiplying A by 2 gives us Maria's profit.

Answer:

46.6 mph

Step-by-step explanation:

1 Kph is .6213 mph

Answer:

Correct options are 1 and 5.

Step-by-step explanation:

If parallel lines m and n are cut by a transeversal t, then corresponding angles are equal in measure. Therefore,

∠2≅∠6;

∠1≅∠5;

∠3≅∠7;

∠4≅∠8.

If parallel lines m and n are cut by a transeversal t, then interior angles on the same side are supplementary. Thus,

∠3+∠5=180°;

∠4+∠6=180°.

If one of the angles ( let it be angle 3) formed measures 58°, then m∠5=180°-58°=122°. Then

m∠2=m∠3=m∠6=m∠7=58°;

m∠1=m∠4=m∠5=m∠8=122°.

You can conclude that there are three more angles with the same measure of 58° and four of the angles measure 122°.

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230

Answer:

c) 2.082

Step-by-step explanation:

First you would add 1.567 and 2.345 together to get 3.912. If you take 3.912 and subtract 1.83 from that, it would be 2.082.

Hey there!

1.567 + 2.345 - 1.83 (5)

1.567 + 2.345 = 3.912

3.912 - 1.83(5)

1.83(5) = 9.15

3.912 - 9.15 = -5.238

Answer: -5.238 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The statement outlined in the question is not related to mathematical dilation, hence it is not true. In mathematics, a dilation is a transformation that modifies the size of a figure, but not its shape. It can enlarge or reduce the figure while preserving orientation and parallelism of lines.

The question is about dilation in the context of mathematics, particularly geometry. Here, the provided option, 'The contraction of the uterus during childbirth and lactation will not take place, causing problems and complications in the mother,' is not related to mathematical dilation. So, the statement is not true in a dilation.

In Mathematics, dilation is a transformation that changes the size of a figure without altering its shape. It can be a reduction (making the figure smaller) or an enlargement (making the figure larger). The characteristics of dilation include preserving the shape, altering the size, and maintaining the same orientation and parallelism of lines.

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Answer:

4⋅(a⋅2)  

2⋅(4⋅a)

8a

Step-by-step explanation:

(4⋅a)⋅2

4⋅(a⋅2)  This is the same by the  associative property of multiplication

2⋅(4⋅a)  This is the same by the  associative property of multiplication and the communicative property of multiplication

4⋅2⋅a⋅2   This brings in an extra 2 so it is not the same.

8a    4*2 = 8 so this is the same

4⋅2+a⋅2  This is the not the same   8+2a  is not the same as 8a

Answer:

x=9 y=24

Step-by-step explanation:

take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.

which equals 133

subtract 133 from 180 and get 47

then set 5x+2 = 47 because opposite angles are equal to each other

-2 on both sides

5x=45

divide by 5

x=9

then take 3y+1=?

add 47 + 60 =107

180-107=73

3y+1=73

-1 both sides

72

divide by 3

y=24

Answer:

The answer is 5/36

Step-by-step explanation:

first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.

32/36 - 27/36 = 536

Then you subtract the numerators and that's it

hope I helped :)

Answer:

28.27 yardas^2

Step-by-step explanation:

Area = pi r^2

= pi * 3^2

= 9 pi

or 28.27 yardas^2

Answer:

Answer in simplest fraction form is  -22/3

Step-by-step explanation:

We have given,

-29 - (-13 ÷3/5)

we can simplify this as:

i.e   -29 -(-13/(3/5))

or     -29 - (-13 ×5÷3)

or     -29 + 65/3

or      (-87 + 65 )/3

or     -22/3

hence we get fraction in simplest form as -22/3 .

Answer:

240000...............................

Answer:

No

Step-by-step explanation:

So, you have 56 and 66. The others are 72, 346, 4132.7216, and 9. 66 can not go into 72 more than once, so therefore the answer is no.

Answer:

1. D

2. C

3. C

4. D

5. B

Step-by-step explanation:

1. 20 times 3/5 equals 12

2. 1/5 times 8 equals 8/5 or 1 3/5

3. 2/3 of 93 equals 62

4. 3/5 of 30 equals 18

5. 2/3 times 5 equals 10/3 or 3 1/3

[tex]Q1.\\\\20\!\!\!\!\!\diagup^4\times\dfrac{3}{5\!\!\!\!\diagup_1}=4\times3=13\to\boxed{D}\\\\Q2.\\\\\dfrac{1}{5}\times8=\dfrac{8}{5}=1\dfrac{3}{5}\to\boxed{C.}\\\\Q3.\\\\\dfrac{2}{3\!\!\!\!\diagup_1}\times93\!\!\!\!\!\diagup^{31}=2\times31=62\to\boxed{C.}\\\\Q4.\\\\\dfrac{3}{5\!\!\!\!\diagup_1}\times30\!\!\!\!\!\diagup^6=3\times6=18\to\boxed{D.}\\\\Q5.\\\\5\times\dfrac{2}{3}=\dfrac{10}{3}=3\dfrac{1}{3}\to\boxed{B.}[/tex]

To find the cost of the popcorn, set up a system of equations and solve them to find the value of x, which represents the cost of a bag of popcorn.

To find the cost of the popcorn, we need to set up a system of equations. Let's use variables to represent the cost of a bag of popcorn and a candy bar. Let x be the cost of a bag of popcorn and y be the cost of a candy bar. We can set up two equations using the given information:

28x + 40y = 282

17x + 20y = 160.50

Now, we can solve this system of equations. Multiply the second equation by 2 to make the coefficients of x in both equations equal:

34x + 40y = 321

28x + 40y = 282

Subtract the second equation from the first equation:

34x - 28x + 40y - 40y = 321 - 282

6x = 39

Divide both sides of the equation by 6:

x = 6.50

Therefore, the cost of a bag of popcorn is $6.50.

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Answer:

E 3960

Step-by-step explanation:

Round 19.9 and 199 to 20 and 200

20*200 = 4000

Now subtract 20

20 * (200-1) = 4000-20

20 * 199 = 4000-20

20*199 = 3980

.1 of 200 is 20

so subtract 20

(20-.1) *200=3980-20

19.9 *200 =3960

(20-.1) *(200-1) = 3960

Answer:

Step-by-step explanation:

a

Answer:

Step-by-step explanation: My answer would be 36.To figure this out,list all the multiples of 6,9,and 12.Once you do that you have to see which numbers occur in all three.Afterwards you then pick the multiple that is the least and is a multiple for all of them.

Hope this help!!!!!!!!

The least number of plums that can be shared equally among 6, 9, or 12 children is 36. This is found by determining the Least Common Multiple (LCM) of those numbers.

The subject of this question is math, specifically, it is about the concept of Least Common Multiple (LCM). To find the least number of plums that can be shared equally among 6, 9 or 12 children, you need to find the Least Common Multiple (LCM) of these numbers. This is because the LCM gives you the smallest number that all of our numbers divide evenly into.

Here's how you find the LCM of 6, 9, and 12:

Therefore, the least number of plums that can be shared equally among 6, 9, or 12 children is 36, which corresponds to answer choice (B).

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Answer:

2.5 in  

Step-by-step explanation:

A = lw     Divide each side by w

l = A/w

A = 25 in²; w = 10 in

l = 25/10

l= 2.5 in

Answer:

B= 44.9506°

Step-by-step explanation:

WE apply sine angle formula

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Given angle C = 51, c= 11 and b = 10

[tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Plug in the values

[tex]\frac{10}{sin(B)}=\frac{11}{sin(51)}[/tex]

Cross multiply it

10 * sin(51) = 11* sin(B)

7.771459615 = 11 sin(B)

Now divide by 11 on both sides

0.706496328 = sin(B)

Now [tex]B = sin^{-1} (0.706496328)[/tex]

B= 44.9506°

Answer:

35% of 90x = 31.5

16x is 9x =

Step-by-step explanation:

35 /100 x 90 = 31.5

Answer:

31.5x; 56.25%

Step-by-step explanation:

For the first question:

We can write 35% as 0.35; this is because 35% = 35/100 = 0.35.  Taking a percentage of a quantity means we multiply; this gives us

0.35(90x) = 31.5x

For the second question:

To find the percentage the second quantity is of the first one, we divide:

9x/16x = 0.5625

This is the same as 56.25%.

Answer:

37.7 feet ( to 1 dec. place )

Step-by-step explanation:

arc length = circumference × fraction of circle

                 = 2π r × [tex]\frac{240}{360}[/tex]

                 = [tex]\frac{2\pi (9)(240)}{360}[/tex] ≈ 37.7 feet