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3 (2x + 2) = 18 + 4(x - 5)

Answer:

Step-by-step explanation:

Collin initially have  14

Step-by-step explanation:

Let

x------> money that Brian had initially

y------> money that Collin had initially

we know that

x/y=7/2

solve for x

x=7/2y -------> equation A

y-39=y-4 ------> equation B

substitute equation A in equation B

7/2y-39=y-4

7/2y-y=39-4

5/2y=35

y=14

Answer:

£49.

Step-by-step explanation:

Let the ratio of  brain's money to Colin's is 7x : 2x.

From the given info:

7x - 39  = 2x - 4

5x = -4 + 39 = 35

x = 7

So initially Brian had 7*7 = £49.

Colin had £14.

Answer:

[tex]x=7,y=16[/tex]

Step-by-step explanation:

The tick marks you see on the sides denote congruence. If they have the same number of tick marks, then their side length are congruent.

And, recall that congruent side lengths have the same measure.

So, look at the sides with 2 tick marks. They are congruent. Therefore:

[tex]2x+5=x+12[/tex]

Subtract x from both sides:

[tex]x+5=12[/tex]

Subtract 5 from both sides:

[tex]x=7[/tex]

So, x is 7.

Now, look at the sides with only 1 tick mark. Again, they are congruent. Thus:

[tex]y-4=x+5[/tex]

We already know x is 7. So:

[tex]y-4=(7)+5[/tex]

Add:

[tex]y-4=12[/tex]

Add 4 to both sides:

[tex]y=16[/tex]

So, y is 16.

Answer:

3,7,2

Step-by-step explanation:

42 = 21*2

42 = 3*7*2

Ta da!

Hope this helps! :)

(pls mark brainliest)

Answer: The prime factorization is 46 = 2 times 3 times 7.

Step-by-step explanation:

So we have the number 42.

First, break 42 up into 2 and 21.

Then split those two numbers further into 3 and 7 from 21 (because they are the factors of 21).

Since you can't break it down any further, take the prime numbers from there and multiply them against each other. This is why it is called prime factorization.

Don't simplify any further and don't multiply them together. Just keep it as 46 = 2 times 3 times 7. There you go!

Answer:

I'd ont now that your questions

Answer:

$1136.88 So she earned more than $1135

Step-by-step explanation:

$8.50 an hour.

31.25 week 1 = 265.625

33.75 week 2 = 286.875

36 week 3 = 306

32.75 week 4 = 278.375

In all - 1136.88 (rounded)

1136.875 (not rounded)

Answer:

Step-by-step explanation:

I don't know if you made a mistake when typing but I am guessing you meant x - 21 = 103

(x-21) = 103 Add 21 to each side

x - 21 + 21 = 103 + 21

x = 124

Answer:

1. Number of boys in A is 52028.

2. Number of girls in B is 46510.

3. Town B has more number of girls.

Step-by-step explanation:

1. [tex]95364 - 43336 = 52028[/tex]

2. [tex]100005-53495=46510[/tex]

3. [tex]43336<46510[/tex] (A < B)

Answer:

y = 5x + -9

Step-by-step explanation:

y = mb + b

m = 5

b = -9

Answer:

y = 5x -9

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = 5x -9

Answer:

0.3

Step-by-step explanation:

From the question given above, the following data were obtained:

Children (C) = 5

Pet (P) = 3

Adult (T) = 2

Probability of obtaining a photo of pet, P(P) =?

Next, we shall determine the total outcome i.e the sample space (S).

This is illustrated below:

Sample space (S) = nC + nP + nA

Sample space (S) = 5 + 3 + 2

Sample space (S) = 10

Finally, we shall determine the probability of a photo of pet.

This can be obtained as follow:

Event of obtaining Pet, nP = 3

Sample space (S) = 10

Probability of obtaining a phone of pet, P(P) =?

P(P) = nP/nS

P(P) = 3/10

P(P) = 0.3

Therefore, the probability of obtaining a photo of pet is 0.3

Answer:

81

Step-by-step explanation:

The area of a square is its side length squared so 9^2 is 81

Answer:

They wrapped their school textbooks with paper.

Step-by-step explanation:

Susie King Taylor was born in 1848, a period when African Americans were not allowed to learn how to read and write. She lived with her grandmother and siblings. Taylor would secretly go to the house of her grandmother's friend known as Mrs. Woodhouse. For two years, she would do this secretly with her brother, wrapping her textbooks with paper so as not to be seen by the policemen.

She also made a white friend known as Katie O'Connor who promised to teach her if she did not tell her father. Katie did this for four months. Later, their landlord's son also volunteered to teach Susie.

Answer:

Question Answer

I am a number whose prime factors are all the prime numbers between 6 and 15 no factor is repeated what number am i? 1001

The number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have:

I am a number whose prime factors are all of the prime numbers between 6 and 15.

The prime number between 6 and 15:

As we know, the prime number is the number that is divisible by 1 and itself.

Prime number = {7, 11, 13}

= 7×11×13

= 1001

Thus, the number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

Constant family

Answer:

360

Step-by-step explanation:

.0 is less than .5 so round down

Answer:

360

Step-by-step explanation:

[tex]360.048 = 360[/tex]

0 to 4 = 0(round down)

5 to 9 =1 (round up)

Answer:

Kindly check explanation

Step-by-step explanation:

Given The following :

Assume score is normally distributed with;

Mean (m) = 1049

Standard deviation (sd) = 189

Numbw rof observations (n) = 16

A) What is the probability that one randomly selected student scores above 1100 on the GRE?

Zscore = (x - m) / sd

X = 1100

Zscore = (1100 - 1049) / 189

Zscore = 51 / 189 = 0.27

From z-table ; 0.27 correspond to 0.6064

P(X > 1100) = 1 - P(X < 1100) = 1 - 0.6064 = 0.3936

2) sample mean will be equal to population mean = 1049

Sample Standard deviation : (population standard deviation / sqrt (n))

= 189 / sqrt(16) = 189/4 = 47.25

Shape of distribution is approximately normal

3)

P(Z < 1100)

X = 1100

Zscore = (x - m) / standard error

Standard Error = population standard deviation / sqrt (n)

= 189 / 4 = 47.25

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

From z-table :

P(Z < 1100) = 0.8599

4)

D.)

P(Z > 1100)

X = 1100

Zscore = (x - m) / SE

Zscore = (1100 - 1049) / 47.25

Zscore = 51 / 47.25 = 1.0793650 = 1.08

From z-table :

P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.140

E)

With a sample size of 64

Standard Error becomes:

189 / sqrt(64) = 189/ 8 = 23.63

Zscore = (1100 - 1049) / 23.63

Zscore = 51 / 23.63 = 2.16

P(Z > 2.16) = 1 - P(Z < 2.16) = 1 - 0.9846 = 0.0154

Probability is less due to increase in sample size

Answer:

The least number of days it  will take each person to save the same amount of money is 36 days.

Step-by-step explanation:

We are given that Steve can save 9 dollars every day while Maria can save 12 dollars.

And we have to find the least number of days it will take each person to save the same amount of money.

Whenever we talk about the least common value, the LCM or Least common multiple comes into account.

Here also; the least number of days it  will take each person to save the same amount of money will be the LCM or Least common multiple of 9 and 12.

LCM of 9 and 12 is calculated as;

2 = 9 , 12    

2 = 9 , 6

3 = 9 , 3

3 = 3 , 1

      1 , 1

Here, the second line means that 12 is divisible by 2 at 6, i.e; 2 [tex]\times[/tex] 6 = 12 and so on.

So, the LCM of 9 and 12 = [tex]2\times 2 \times 3 \times 3[/tex] = 36

Hence, the least number of days it  will take each person to save the same amount of money is 36 days.

Answer:

Step-by-step explanation:

False

Answer:

Step-by-step explanation:

We will use the combination rule to solve this questions since it bothers selection. Combination has to do with selection.

If r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If there are Eight committee members meeting in a room that has twelve chairs, the number of ways they can sit in the chair can be done in 12C8 number of ways.

12C8 = 12!/(12-8)!8!

12C8 = 12!/4!8!

12C8 = 12*11*10*9*8!/4*3*2*8!

12C8 =  12*11*10*9/4*3*2

12C8 = 11*10*9/2

12C8 = 11*5*9

12C8 = 495

Hence the committee can sit in the chairs in 495 different ways

Answer:

The dependent variable is N; Number of Napkins

The independent variable is C; Number of Customers

Step-by-step explanation:

Given

[tex]N = f(c) = 2c[/tex]

Required

Determine the dependent and independent variable

Dependent variables are variables that standalone and are not influenced by other variables;

In the given parameters

The customers, C is the independent variable

Independent variables are the opposite of the dependent variables; They depend on other variables for their own values.

In the given parameters

The number of Napkin, N is the dependent variable

Answer:

The angle of elevation of the sun to the nearest hundredth of a degree is 44.07°

Step-by-step explanation:

Here is the complete question:

A building 86.53 feet tall has a shadow that is 89.39 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.

Step-by-step explanation:

Please see the attachment below for an illustrative diagram:

From the diagram

/AC/ is the height of the building

/CB/ is the length of the shadow

/AC/ = 86.53 feet

/CB/ 89.39 feet

θ is the angle of elevation

Consider triangle ABC

/AC/ is the opposite

and /CB/ is the adjacent

From

tanθ =[tex]\frac{Opposite}{Adjacent}[/tex]

Then,

tanθ = [tex]\frac{/AC/}{/CB/}[/tex]

tanθ = [tex]\frac{86.53}{89.39}[/tex]

tanθ = 0.9680

∴θ = tan⁻¹(0.9680)

θ = 44.0686°

θ = 44.07° (to the nearest hundredth of a degree)

Hence, the angle of elevation of the sun to the nearest hundredth of a degree is 44.07°

Answer:

$21

Step-by-step explanation:

Multiply 7 by 3, since it increased $3 each week for 7 weeks:

7(3)

= $21

So, the total change in the price of a share of stock was $21

Answer: 2,269

Step-by-step explanation: Divide by 2 to get half of a number

Answer:

2269

Step-by-step explanation:

just simply divide 4538 by 2

Answer:

Step-by-step explanation:

(A).

No' of siblings           Frequency           Rel. frequency     Cumm. frequency

0                                     51                          0.2429                       51

1                                      37                          0.1762                        51 + 37 = 88

2                                     34                          0.1619                        122

3                                     41                         [tex]\frac{41}{169}=0.2426[/tex]                163

4                                     47                           0.2238                     210

(B).

Percent of people having exactly one sibling = [tex]\frac{\text{Frequency}}{\text{Total frequency}}\times 100[/tex]

                                                                           = [tex]\frac{37}{210}\times 100[/tex]

                                                                           = 17.62%

Answer:

[tex]= 2^2^8 \times 3^-^2^0\times 9^4[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\times\:b\right)^n=a^nb^n\\\left(2^7\times\:3^{-5}\times\:9\right)^4=\left(2^7\right)^4\times\left(3^{-5}\right)^4\times\:9^4\\=\left(2^7\right)^4\cdot \left(3^{-5}\right)^4\cdot \:9^4\\\\= 2^2^8 \times 3^-^2^0\times 9^4[/tex]

Answer:

Multiply the exponent 4 by each of the exponents inside the parentheses.

Hope this helps..

Answer:

$220

Step-by-step explanation:

As per the equation:

For x = 6 we get:

So Ari will have saved $220 after 6 months

Answer:

14 pennies and 8 nickels

Expla-- Im smart

Answer:

D.

(-7, 3)

Step-by-step explanation:

Given equation

y - 3 = 4(x + 7)

points are in form of (x,y) that is first value represent value of coordinate and

second value y represents value of y coordinates.

to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.

______________________________________

A.

(7, 3)

substituting x with 7 in the equation

y - 3 = 4(7 + 7)

=> y - 3 = 4(14)

=> y - 3 = 56

=> y = 56+3 = 59

Thus, we see value of y when x is 7 is 59

which is not equal to 3 as given in option A hence option A is not correct choice

B.

(7, -3)

As seen above for x = 7 , y is 59 hence option B is also incorrect

C.

(-7, -3)

substituting x with -7 in the equation

y - 3 = 4(-7 + 7)

=> y - 3 = 4(0)

=> y - 3 = 0

=> y = 0+3 = 3

Thus, we see value of y when x is -7 is 3

which is not equal to -3 as given in option C hence option C is not correct choice

D.

(-7, 3)

As calculated above value of y when x is -7 is 3

hence

option D is correct choice.

Answer:

13 is a prime number, not divisible by any number greater than 1 or less than 13. So the prime factorisation of 78 is: 78 = 2 ⋅ 3 ⋅ 13 This can also be represented by a factor tree:

Step-by-step explanation:

Answer:

78 = 2 ⋅ 3 ⋅ 13

Step-by-step explanation:

78  ends with an even digit, so is divisible by  2 and we find:  78 = 2 ⋅ 39

39  ends with an odd digit, so is not divisible by  2 .

The digits of  39  add up to a multiple of  3 , namely  3 + 9 = 12 . So we can tell that  39  is divisible by  3 : 39 = 3 ⋅ 13

13  is a prime number, not divisible by any number greater than  1  or less than  13 .

So the prime factorization of  

78  is:

78= 2 ⋅ 3 ⋅ 13