oints
After earning $14 in interest, Bob's bank account has $131. How many dollars
were in the account to start with?
Answer here
SUBMIT

Step-by-step explanation

The probability that the next person will purchase more than one costume is 0.03How to solve for the probabilityWe have the following details to solve the problem withThe people that did not purchase any costume = 103Those that purchased exactly one costume = 161Those that purchased more than one costume = 7The total number of persons that we have here would be 103 + 161 + 7= 271We are to find the probability that the next would purchase more than 1 costume.This is given as:7 / 271 = 0.0258To the nearest hundredth = 0.03Hence, 0.03 is the probability that the next person is going to buy more than one costume.

Answer:

115/142 or 80.99%

Step-by-step explanation:

total people who visited the website --> 27+112+3 = 142

total people who bought one or more costume(s) --> 112+3 = 115

So, 115/142 or 80.99%

Hope this helped

Answer:

sorry if wrong

Answer:

76 cents close to a dollar but not quite there yet

Step-by-step explanation:

Answer:

-66/15

Step-by-step explanation:

Convert all of them to improper fractions:

26/3 - 19/5 + 139/15

Using the rule of BODMAS;

We will add first before we subtract.

26/3 - (19/5 + 139/15)

L.C.M of 5 and 15 is 15

26/3 - (13×19)+(1×139)/15

{26/3 - 196/15}

Now we will subtract

LCM of 3 and 5 is 15

(5×26) - (1×96)/15

=130 - 96/15 = -66/15.

Problem 1

One method Olivia could have used is to reflect over the x axis and then translate 10 units to the right.

Let's apply these set of steps to point C.

C = (-2,-4)

C' = (-2,4) after reflecting over the x axis; y coordinate flips in sign

C'' = (8,4) after shifting to the right 10 units; add 10 to the x coordinate

Point C(-2,-4) moves to C''(8,4) which is shown in the diagram. I'll let you check the other four points.

-----------

Another method Olivia could have used is to shift to the right 10 units first, then reflect over the x axis. In this case, the order doesn't matter. Though for some other combinations of transformations, order does matter.

============================================================

Problem 2

Reflecting over the y axis will have the point (x,y) turn into (-x,y). Only the x coordinate changes, and we flip the sign here. The y coordinate stays the same.

A point like C(-2,-4) becomes C'(2,-4) after the y axis reflection. Shifting up 8 units means we add 8 to the y coordinate to arrive at C''(2,4) but this does not match what the diagram shows. Therefore, Angelica's method is incorrect.

You should find other inconsistencies for the other four points as well.

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Problem 3

Michael's method isn't correct either. He does not apply an x axis reflection and instead relies entirely on translations to move ABCDE to A''B''C''D''E''

At a quick glance, it looks like Michael may be correct. But upon a much closer look, you'll see that things don't line up perfectly.

Instead of point C, we'll pick on point D this time.

D is located at (-6,-2). If we shift up 8 units, then we add 8 to the y coordinate to get to D'(-6,6). Then add 10 to the x coordinate to shift 10 units to the right. This leads us to D''(4,6).

However, the diagram shows D'' is actually at (4,2)

I'll let you check the other points. You should find that only points C and E go to the correct locations, but the other points do not. Again, this is because Michael did not apply an x axis reflection. His figure of A''B''C''D''E'' is upside down compared to what it should be.

============================================================

To summarize, the methods described in problem 1 are the correct way to get ABCDE to move to A''B''C''D''E''. If Olivia followed either of those two methods, then she is correct. Both Angelica and Michael have incorrect methods.

Answer:

70 minutes OR 1 hour and 10 minutes (it's the same thing)

Step-by-step explanation:

So this can be modeled by the equation 20/150=x/525

so solving for x, you have to say whats the most times that 150 will go into 525 without going over

the answer is 3

so 150x3=450 and 525-450=75

75 is one half of 150 so it would be 3.5

multiply 20 by 3.5 and you get 70 or 1 hour and 10 minutes since an hour is 60 minutes

Don't forget to give brainliest :)

Answer:

y = 21

x = 8

Step-by-step explanation:

AB = 180

27 + 3y = 90°

-27           -27

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

3y = 63

÷3     ÷3

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

y = 21

x + 27 + 3y + 8x + 18 = 180

9x + 45 + 3(21) = 180

9x + 45 + 63 = 180

9x + 108 = 180

      -108   -108

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

9x = 72

÷9    ÷9

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

x = 8

I hope this helps!

Step-by-step explanation:

(2/3)(-4)(9) = -24

(5/16)(-2)(-4)(-4/5)= -2

(-3/4)(7/8)=-21/32

(2 3/5) (7/9)=91/45

Answer:

answer is 300m/30min

Step-by-step explanation:

300\10=30

Given the speed of the submarine, the total time it will take to cover the the given distance is 30 minutes.

Using the expression Time = distance / speed.

Given that;

Time = distance / speed

Time = 300m / 10m/min

Time = 30 minutes

Given the speed of the submarine, the total time it will take to cover the the given distance is 30 minutes.

Learn more about speed here: brainly.com/question/7359669

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Answer:

Step-by-step explanation:

you are completely right please follow your heart <3

1 feet = 12 inches

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

Answer:

its D

12,455 + x = 23,894

x = 10,560

Step-by-step explanation:

Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:

10,205 + x = 23,894

To solve, we must isolate the variable by subtracting 12,455 from both sides:

10,205 + x = 23,894

-10,205        -10,205

x = 10,560

So, the second month's salary was $10,560

Step-by-step explanation:

Answer: x = $30,560

Step-by-step explanation:

1. Let the second month payment be x

2. The first month + The second month = both of the months

3. So substituting: 10,205 + x = 40,765

4. Subtract 10,205 from both sides: x = 30,560

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Answer:1. $3- 4 bottles, 1 bottle = 4/3 , 7 bottles= 28/3

2. 40 pounds=$32, 1 pound= $8/10

3. Per bag= 3/2, 7bags= 21/2

4. Per book = $3, 21 books= $63

5. Per bracelet = 0.25 cents, 11 bracelets = 2 dollars 75 cents

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tony = x

Jill = 5x

5x+x = 40

Answer:

1)=3(3t^2w-1)

2)=(4x-17)(x-5)

Step-by-step explanation:

1) =Factor out 3

2) =in order to factor an integer we need to repeatedly divide it by the ascending sequence of primes (2,3,5)

number of times each prime divides the original integer becomes it's exponent in the final result. for this equation prime number 2 to the power of 2 =4

2^2(x - 5)² + 3 (x - 5)

we need to factor GCF ( greatest common factor)

The resulting term is a product of GCF and original expression divided by GCF. in equation the GCF = x-5

(x-5)(2^2(x-5)^2/x-5 + 3(x-5)/x-5 )

Need to reduce fraction to lowest terms. Done by dividing out factors that appear both in numerator and denominator. Common factor in equation is x-5

(x-5)(2^2(x-5)^2-1+3)

need to evaluate a power by multiplying the base by itself as many times as the exponent indicates. in equation base 2 will be multiplied by itself twice.

(x-5)(4(x-5)+3)

Expand this term by multiplying a term and an expression. Following product A(B+C)=AB+AC

in equation the resulting expression will consist of 2 terms:

first term is a product of 4 and X

Second term is a product of 4 and -5

(x-5)((4x-4*5)+3)

Numerical factors in this term have been multiplied

(x-5)((4x-20)+3)

We need to get rid of expression parentheses. If there is a negative sign in front of it , each term within expression changes sign. Otherwise expression remains unchanged. In equation there are no negative expression s.

(x-5)(4x-20+3)

Simplify = (4x-17)(x-5) or (x-5)(4x-17)

Answer:

1.   \(3(3t^{2} w-1)\)

2.  \((4x-17)(x-5)\)

Step-by-step explanation:

For the first question, you simply get the common factor out of both values and in this case it is 3. So if you take 3 out of \(9t^{2} w\) it is basically like dividing.

*You can't divide the alphabetic variables though* So it would be 3t^2w

Then, with -3 you again divide it by 3 so it would be -1.

Put them together and you get

3(3t^2w-1)

For the second question it has some more steps than the first one.

You first expand both of them:

4(x-5)(x-5) + 3x - 15

Then you should expand the double brackets using the foil method ( search it up if confused):

\(4(x^{2} -5x-5x+25) + 3x -15\)

\(4(x^{2} -10x+25) + 3x -15\)

Then you simply the brackets where -5x and -5x makes -10x. Now take the whole bracket and times it by 4 :

\(4x^{2} -40x+100 + 3x-15\)

Now you simplify again:

\(4x^{2} -37x+85\)

You then factorise this equation right here into a double bracket:

\(4x^{2} -20x-17x+85\\\)

\(4x(x-5)-17(x-5)\)

As you could see (x-5) is the same so it works!

then you factorise it to:

\((4x-17)(x-5)\)

I hope it is right and if you see any mistakes pls feel free to ask :)

Answer:

Bus is the preferred transportation for 25 residents.

Step-by-step explanation:

Answer:

Nothing further can be done with this topic.

Step-by-step explanation:

You're missing pieces to the question.

The coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).

Scale factor = \(2\frac{1}{2}\)

= 2.5

The reflection of point (x, y) across the x-axis is (x, -y).

Here, N(-4, 6)→(-4, -6)

M(-6, 2)→(-6, -2)

G(-2, 4)→(-2, -4)

Now, with scale factor 2.5, we get

(-4, -6)→2.5(-4, -6)→N'(-10, -15)

(-6, -2)→2.5(-6, -2)→M'(-15, -5)

(-2, -4)→2.5(-2, -4)→G'(-5, -10)

Therefore, the coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

To learn more about the reflection over x-axis visit:

https://brainly.com/question/15175017.

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distributive propertyab+ac=a(b+c) a is the greatest common factotrfind the gcf3x=3*x-9x^2=-1*3*3*x*xgcf=3x3x(1)+3x(-3x)=3x(1-3x)

HOPE THIS HELPS!

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

Answer:

x = 5.25; x = 21/4

Step-by-step explanation:

Cross products

21 = 4x

Divide both sides by 4

x = 5.25 = 21/4

Answer:

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

The two angles with the variable x form a linear pair and therefore:

Angles 16x - 18 and 12y are congruent as vertical angles:

Answer:

x = 7.5

y = 8.5

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

To find x, equate the sum of the two angles with the variable x to 180° and solve:

⇒ (16x - 18)° + (10x + 3)° = 180°

⇒ 16x - 18 + 10x + 3 = 180

⇒ 26x - 15 = 180

⇒ 26x = 195

⇒ x = 7.5

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

⇒ (16x - 18)° = 12y°

Substitute the found value of x into the equation and solve for y:

⇒ 16x - 18 = 12y

⇒ 16(7.5) - 18 = 12y

⇒ 120 - 18 = 12y

⇒ 102 = 12y

⇒ y = 8.5

THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!

The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.

The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.

Based on the data provided, Valentina saw a total of 4 + 7 + 12 + 14 + 5 + 3 = 45 cars. Out of these cars, 5 were brown. Therefore, the probability that the next car seen is brown is 5/45 which can be simplified to 1/9.

Answer:

Based on the data provided, Valentina saw a total of 4 + 7 + 12 + 14 + 5 + 3 = 45 cars. Out of these cars, 5 were brown. Therefore, the probability that the next car seen is brown is 5/45 which can be simplified to 1/9.

Step-by-step explanation: