Which choice correctly expresses the number below in the scientific notation?

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)

In addition, we get the following identities:

i) He has three more nickels than dimes

[tex]z + 3 = y[/tex] (Eq. 2)

ii) And five times as many pennies as dimes

[tex]x = 5\cdot z[/tex] (Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]

[tex]0.20\cdot z = 0.60[/tex]

[tex]z = 3[/tex]

The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Since +(-) becomes (-) we can write the given problem as

15.6-1.8

Subtraction gives us 13.8

:)

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y  + 3 = 7x - 7

y = 7x - 10

Answer:

No, the brain volume of 1405.9cm³ would not be significantly high.

Step-by-step explanation:

We would use the Empirical rule to determine the answer for this question.

The empirical rule - formula states that:

a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ

b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.

The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.

Hence, μ = mean =1162.5 cm³

σ = Standard deviation = 126.7 cm³

μ – 2σ

1162.5 cm³ - 2(126.7 cm³)

= 1162.5 cm³ - 253.4 cm³

= 909.1cm³

μ + 2σ

1162.5 cm³ + 2(126.7 cm³)

= 1162.5 cm³ + 253.4 cm³

= 1415.9cm³

From the calculation above, we can see that for such​ data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.

Answer: the greatest number of trees that ElizaBeth can have in a row is 30

Step-by-step explanation:

given data:

citrus trees = 150

palm trees = 180

As we have to find the greatest number of trees that Elizabeth can have in a​ row, we will find the GCF or greatest common factor.

150 = 2 x 3 x 5 x 5

180 = 2 x 2 x 3 x 3 x 5

Greatest common factor is = 2 x 3 x 5 = 30

Therefore, the largest number of trees that ElizaBeth can have in a row is 30.

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

Answer:

3,800

Step-by-step explanation:

Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."

Hope this helps and have a nice day!

Answer:

3,800

I hope this helps!

Answer:

bank account one is the answer

Step-by-step explanation:

bank account one is the answer

Hope it helps

Pls mark as brainliest

Problem number 4 is solved by the equation 1.75 + (-1.75).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.

The account balance will be represented by the equation.

Account = 1.75 + (-1.75)

The actual account balance will become zero.

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Answer:

x =5

Step-by-step explanation:

[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]

Answer:

5.4 & 5.4

Step-by-step explanation:

CD²=5²+2²=29

CD=AB=5.4

Answer:

C) 5.4 and 5.4

Step-by-step explanation:

CD: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4

AB: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4

Answer:

100 Adults and 164 Children

Step-by-step explanation:

To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:

35A (total adult price) + 20C (total children price) = 6780

35A+20C=6780

Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:

A (number of adults) + C (number of children) = 264

A+C=264

Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:

If we rearrange the second expression we will get:

A+C-A=264-A

C=264-A

So now we substitute this expression into our first formula:

35A+20C=6780

C=264-A

35A+20(264-A)=6780

Now since we only have one unknown, we can simplify, expand and solve!

35A+20*264-20*A=6780

35A+5280-20A=6780

35A-20A+5280-5280=6780-5280

15A=1500

15A/15=1500/15

A= 100

A total of 100 adults were admitted.

Now we can use the number of adults to find the number of children using our second formula:

C=264-A

C=264-100

C=164

And there we are! A total of 100 adults and 164 children were admitted.

Hope this helped!

Answer:

7,200 minutes.

Step-by-step explanation:

5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours

120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.

Hope this helps, and I love your art!

Answer:

7,200

Step-by-step explanation:

Answer:

It's distributive property.

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

When adding two numbers, you are combining their values.

In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.

B is the given info after your A (event has happened)

RESULT:

P(B/A)= B given when A happens

Answer:

A

Step-by-step explanation:

It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.

It's D 400 gallon of paint were used

Answer:27.85

divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price

Answer:   t=24−i

Step-by-step explanation:

Answer:

a) Combined amount of truffles and caramels bought

b) Amount of money spent in total on both truffles and caramels

The distance between Spearfish and Madison is 390 miles.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a mileage chart.

Assume that the distance between Spearfish and Madison is [x] miles.

Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -

x = 390 miles

Therefore, the distance between Spearfish and Madison is 390 miles.

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Hey there!

[tex]Answer:\boxed{y<-3}[/tex]

[tex]Explanation:[/tex]

[tex]9-y>12[/tex] Inequality

Let's start by simplifying both sides of the inequality.

[tex]-y+9>12[/tex]

Now subtract 9 from both sides.

[tex]-y+9-9>12-9\\-y>3[/tex]

Now divide both sides by -1.

[tex]\frac{-y}{-1}>\frac{3}{-1}[/tex]

[tex]y<-3[/tex]

Hope this helps!

Answer:

Positive product

Step-by-step explanation:

Answer:

It's 3.

Step-by-step explanation:

3x2=6

3x4=12

3x5=15

Answer:

Midpoint of a line segment

(xM,yM) = (4, 5).

Answer:

I think it's point (1.5,2).

Step-by-step explanation:

3 ÷ 2 = 1.5

4 ÷ 2 = 2

Answer:

No does not contain the same length

Step-by-step explanation:

Given that

A(-4,2) , B (1,4), C (2, -1)

Now

AB would be

= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]

And, BC is

[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]

As we can see that the AB and BC are not equaled

So,

AB ≠ BC

Due to the different length

Therefore they do not contains the same length

We simply applied the distance formula due to which the length could be determined and the same is to be considered

Answer:

63

Step-by-step explanation:

The result of accounting root is a fortified number

63²= 3969