How many times larger is 3 x 1015 than 6 x 1010?

A culture of 2.4 × 10^11 bacteria is in a Petri dish A

A culture of 8 × 10^9 bacteria is in Petri dish B

Number of times number of bacteria in Petri dish A is greater than that number in Petri dish B:

[tex]\frac{Number of bacteria in Petri dish A}{Number of bacteria in Petri dish B} = \frac{2.4 * 10^11}{8 * 10^9}[/tex]

Divide 2.4 by 8 to give 0.3

Divide 10^11 by 10^9 to give 10^(11-9) = 10^2

The answer is 0.3 × 10²

Answer:

The correct answer is 9.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Takala put 9 marbles in the box, jackie put in 7, and laird put in 11.

Before continuing, the most convenient is to add these three things:

9 + 7 + 11 = 27.

We now know that those 27 were divided equally to each other, that is 27: 3.

So we just have to divide:

27: 3 = 9

In this way we can verify that each person obtained 9.

The answer for a would be -2 and for b it would be -3. If you added both -2 and -3 together, you would get a sum of -5, and when for the other equation, the negative in front of b will cancel out the negative in front of -3, making it 3, and when you subtract -2 and 3, you'll end up with a difference of 1. a= -2  b= -3

Your answer would be x=4.

6x-8=4x

sub 6x from both sides

-8=-2x

divide by -2 both sides

x=4

Hope This Helps!!!

You need to show the pictures for us to answer.

1/30 simplified your welcome for the help

Let x = the smaller number.

Let 4+3x = the larger number.

So, 28 = 4+3x - x

24 = 2x

x = 12.

The smaller number is 12, now we need to find the larger number,

4+3(12)

40

So, the numbers are 12 and 40.

The equation can be solved by setting up two equations based on the information given, and then substitifying and simplifying the equations to solve for the two numbers. The two numbers are 12 and 40.

The subject of this question is dealing with equations in mathematics. To problem-solve this, we can first form an equation based on the information given: The larger number is equal to 'four more than three times the smaller number' and 'the difference between the two numbers is 28'.

So we can set up two equations:

By substituting the first equation into the second, it resolves as:

3S + 4 - S = 28

which simplifies to:

2S = 24

So, the smaller number S = 24/2 = 12. Substituting S = 12 into the first equation gives:

L = 3*12 + 4 = 36 + 4 = 40

So the two numbers are 12 and 40.

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Option: D is the correct answer.

               D)       [tex]y=\dfrac{1}{2}x+2[/tex]

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of the line.

A)

[tex]y=4x-3[/tex]

The slope of line is: 4

i.e. m=4

and |m|=4

B)

[tex]y=\dfrac{-3}{4}x+5[/tex]

the modulus of slope is:

[tex]|m|=\dfrac{3}{4}=0.75[/tex]

C)

[tex]y=-10x-8[/tex]

The modulus of slope of line is:

[tex]|m|=10[/tex]

D)

[tex]y=\dfrac{1}{2}x+2[/tex]

The slope of the line is:

[tex]|m|=\dfrac{1}{2}=0.5[/tex]

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is [tex]32\frac{3}{10}[/tex] , here 32 is the whole number  and [tex]\frac{3}{10}[/tex] is the fraction part.

[tex]\frac{3}{10}[/tex] is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is [tex]32\frac{3}{10}[/tex].

Answer:

5.3

Step-by-step explanation:

One rational number can be 5.3

It is rational because it has terminating decimal expansion

2.4×10¹¹=240000000000

8×10'9= 8000000000

240000000000÷8000000000=30

so A is ×30 greater that B

Isolate the x. Treat the less than sign as equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 47 from both sides

4x + 47 (-47) < 7 (-47)

4x < -40

Next, divide 4 from both sides

(4x)/4 < (-40)/4

x < -40/4

x < -10

x < -10 is your answer

hope this helps

Answer:

(c) 4.1 km

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]

Substitute with the givens:

[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km

Hope this helps :)

Each piece of butter is 0.4 ounces

co·ef·fi·cient

ˌkōəˈfiSHənt/Submit

noun

1.

MATHEMATICS

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).

So, 22 is your coefficient.

In the mathematical expression 22x + 54.35, the coefficient is 22. It describes how much the teacher spends in dollars each time she restocks her classroom supplies. The constant term '54.35' represents the initial spending at the start of the school year.

In the given expression 22x + 54.35, the coefficient is 22.

The coefficient, in this context, represents the cost (in dollars) that the teacher spends each time she restocks her classroom supplies. Every time the teacher purchases more supplies during the school year, she is spending $22, hence the '22' is multiply by 'x' which indicates the number of times these supplies are restocked.

The constant term '54.35', on the other hand, represents the initial amount the teacher spends at the start of the school year. To summarise, '22x' describes the total expense on supplies restocked during the year, and '54.35' is the initial expenditure.

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The answer would be 9/5

Root 81 =9

Root 25 =5

The rate of change is the slope of a line.  The slope of the line can be calculated using the formula [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].  To find the slope of a line using this formula, it is necessary to know two of the points on the line.

So here is how it would go

the best way to understand is putting a number in place of x and seeing if they are equal to eachother so just to make it simple i'll make x=6

so your first equation is 2(6)/3 =12/3=4 now the other equation would be (2/3)6 = 6

i actually solved it putting 2 in place of x and got the same answer for both so i think they're the same

[tex]x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}[/tex]

Answer:

This is an Obtuse triangle.

Step-by-step explanation:

A Equilateral Triangle is a triangle where all sides are equal. Here all sides are different so it is not an Equilateral Triangle.

Isosceles triangle is a triangle that has 2 sides that are equal. Here all sides are different therefore this is not an Isosceles triangle.

A right angled triangle is a triangle whose sides satisfy the following equality.

Lets say A triangle has sides a, b and c. Where c is the highest value.

Then, [tex]a^{2} +b^{2} =c^{2}[/tex]

Lets substitute the values to the above equation to see whether it the triangle we are given satisfies the above equality,

[tex]7^{2} +15^{2}[/tex] = [tex]49+225[/tex]=[tex]274[/tex]

[tex]17^{2} =289[/tex]

Therefore, [tex]7^{2} +15^{2}[/tex] ≠[tex]17^{2}

So it is not a Right Angled Triangle.

If the sum of squares of the shorter sides is greater than the square of the longer side then it is an Acute angle if not it is an obtuse angle.

[tex]7^{2} +15^{2}[/tex] = [tex]274[/tex]≤[tex]17^{2} =289[/tex]

Therefore, This is an Obtuse triangle.

To find the product of 0.54 and 8, multiply the two numbers together. The product is 4.32.

to calculate the product of 0.54 and 8:

Start by multiplying the whole numbers:

8 * 0 = 0

Next, multiply 8 by the decimal, 0.54:

8 * 0.54 = 4.32

So, you first calculate the product of the whole numbers (8 * 0 = 0), and then you calculate the product of the decimal and the whole number (8 * 0.54 = 4.32).

When you add these results together, you get the final product, which is 4.32.

Learn more about multiplication here:

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32.83 because using a calculator, you punch in numbers 4.9 and 6.7 together. Then, you press the equal sign to get 32.83

4x+10 >= 11

4x+10-10 >= 11-10 .... subtract 10 from both sides

4x >= 1

4x/4 >= 1/4 .... divide both sides by 4

x >= 1/4

x >= 0.25

This means  x must be 0.25 or larger. The next integer closest to 0.25, that is above 0.25, is the value 1.

So x = 1 is the smallest integer solution possible.

ISS completes 21,900 orbits around the Earth in four years.

To calculate how many times the International Space Station (ISS) orbits the Earth in 4 years, we would set up a column addition problem where we add the number of orbits per year 5475 times for each of the four years. Here is the problem set up for column addition:

 5475
+ 5475
+ 5475
+ 5475
------

When we add these numbers, the total will give us the number of orbits completed in four years.

The addition is as follows:

 5475
+ 5475
+ 5475
+ 5475
------
21900

Therefore, the ISS completes 21,900 orbits around the Earth in four years.

X= be coffee

Y=be donuts

Set up equations

10x+5y=16.50

5x+10y=14.25

Now multiply first equation by -2 to get a negative

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 bith sides to get x alone

X= -18.75/-15

X= 1.25

The cost of each coffee cup$1.25

The cost of each coffee cup will be equal to $1.25.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that on Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25.

The cost will be calculated by forming linear expressions below,

X= be coffee

Y=be doughnuts

The equations can be written as,

10x+5y=16.50

5x+10y=14.25

Now multiply the first equation by -2 to get a negative.

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 on both sides to get x alone,

X= -18.75/-15

X= $1.25

To know more about an expression follow

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