Why does a balloon naturally form a sphere when it is blown up

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

https://brainly.com/question/29144146

#SPJ3

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.

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

Aswer:  9 /  4  sqrt 3

Solution:

Perimeter: P=9 inch

Area: A=?

A=(1/4) sqrt(3) L^2

Side of the triangle: L

We need the side "L" of the triangle:

We know: P=3 L

Replacing the perimeter in the equation above:

9 inch=3 L

Solving for L: Dividing both sides of the equation above by 3:

(9 inch) / 3 = 3 L /3

3 inch = L

L = 3 inch

Replacing L=3 inch in the formula of Area:

A=(1/4) sqrt(3) L^2

A=(1/4) sqrt(3) (3 inch)^2

Squaring:

A=(1/4) sqrt(3) (9 inch^2)

Multiplying:

A=(1*9)/4 sqrt(3) inch^2

A=9/4 sqrt(3) inch^2

Answer:

9√3/4

or

9/4√3

Step-by-step explanation:

P=3a=9⇒a=3 inches.

The area of the equialteral triangle is

A=\dfrac{a^2\sqrt{3}}{4}=\dfrac{3^2\sqrt{3}}{4}=\dfrac{9\sqrt{3}}{4}\ \text{sq. in}.A=4a23=4323=493 sq. in.

1/30 simplified your welcome for the help

n = 8

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n )} }{1-r}[/tex]

where a is the first term and r the common ratio

here a = 16 and r = [tex]\frac{64}{-32}[/tex] = [tex]\frac{-32}{16}[/tex] = - 2

[tex]S_{n}[/tex] = ( 16( 1 - ( - 2 )^n )/1 - (- 2 )) = - 1360

[tex]\frac{16}{3}[/tex] ( 1 - (- 2 )^n ) = - 1360

multiply both sides by [tex]\frac{3}{16}[/tex]

1 - (- 2 )^n = - 255

- (- 2 )^n = - 256

)-2)^n = 256

note that [tex]2^{8}[/tex] and [tex](-2)^{8}[/tex] = 256

hence n = 8

You need to show the pictures for us to answer.

Answer:

The answer is Timing Difference  

Explanation:

Timing distinction is the idea of the bookkeeping that happens because of the change issues. The planning contrast is the term that is amazingly utilized in the money related announcing or tax collection purposes. The technique for computation of the devaluation is distinctive in both monetary bookkeeping and tax collection. Timing contrasts definition. Transitory contrasts between the detailing of an income or cost for budgetary explanations (books) and the revealing of the thing for money impose reason.

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

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.

“Or” indicates that, as long as either statement is true, the entire compound sentence is true.

Now as shown in the graph, the solution inequality of the graph is :

x > 3 and x < 5   [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]

Now let's solve each option to find if it fits in with the above inequality

Option 1 : 2x-4 > 6 or 3x < 9

⇒ x > 5 or x < 3

Option 2 : 2x - 4 < 6 and 3x > 9

⇒ x < 5 and x > 3

Option 3 : 3x + 8 > -7 or -4x < 12

⇒ 3x > -15 or x < -3

⇒ x > -5 or x < -3

Option 4 : 3x + 8 < -7 and -4x > 12

⇒ 3x < -15 and x > -3

⇒ x < -5 and x > -3

So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9

has its solution set on the graph.

2.4×10¹¹=240000000000

8×10'9= 8000000000

240000000000÷8000000000=30

so A is ×30 greater that B

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:

https://brainly.com/question/5992872

#SPJ3

150 because if it is going 420 in 14 hours you divide 420 by 14 which gives you 30 and then you multiply 30 x 5 and you get 150 so the bird goes 150 miles in 5 hours

It will fly 150 in 5 hours

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!!!

Answer:

y=9x+1.6

This is the right answer but there are slightly different equations similar

The square is either 25 or 16.

Number puzzles have specific set of rules, you first has to figure out the pattern being followed and then answer the puzzle according to the pattern.

According to question,

the sum of two digits must be 7.

Take some instances,

where 16 is a square of 4.

where 25 is square of 5.

where either 34 or 43 both are not the perfect square of any number.

The possibilities of a number can be either 16 or 25.

Learn more about number puzzle here:

https://brainly.com/question/18234836

#SPJ2

[tex]-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7[/tex]

Answer:

  x  <  6.4  

Step-by-step explanation:

given,

       -8 - 5 x + 2 > -38

           - 5 x - 6 > -38

adding both side by 6

           - 5 x - 6 + 6  > -38 + 6

             - 5 x  > -32

multiplying both side by (-1)

                5 x  <  32        

on multiplying by negative sign the inequality direction changes

                  x  <  6.4  

the graph is shown in the figure attached below. the shaded region shows the required area.

So here is how it would go

Answer: A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.

Step-by-step explanation:

Law of Syllogism which is also known as reasoning by transitivity is a valid argument method of a deductive reasoning that follows a sequence.

Its similar to the transitive property of equality, which states that if a=b and b=c then a=c

The given statement :  If two lines meet at a 90 angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes.

let a →" two lines meet at a 90 angle"

b→ "two lines are perpendicular are perpendicular"

c→" two lines have opposite reciprocal slopes"

Since a→b and b→c

Therefore by law of syllogism, a→c

i.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.

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.

https://brainly.com/question/31972343

#SPJ2

Each piece of butter is 0.4 ounces

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.

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.

https://brainly.com/question/18322830

#SPJ2

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.

Answer:

its 10.55

Step-by-step explanation:

because he started with 12.50 spend 6.95 and neede 5 more

Answer:

its 10.55

Step-by-step explanation:

because he started with 12.50 spend 6.95 and needs 5 more in order to get the next

Please mark brainiest

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.

b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

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