G find an equation of the sphere with center (3, −10, 4) and radius 5. (x−3)2+(y+10)2+(z−4)2=25 use an equation to describe its intersection with each of the coordinate planes. (if the sphere does not intersect with the plane, enter dne.)

Answers

Answer 1

The Equation of the sphere with center (3, -10, 4) and radius 5 is correctly given as:

[tex](x-3)^2+(y+10)^2+(z-4)^2=5^2[/tex],

The x-y axis is the set of all points (ordered triples) of the form (x, y, 0), where x, y can be any point, but the z-coordinate is 0.

the intersection of the sphere and this plane is found by letting z=0:

[tex](x-3)^2+(y+10)^2+(z-4)^2=5^2\\\\(x-3)^2+(y+10)^2+(0-4)^2=5^2\\\\(x-3)^2+(y+10)^2+16=25\\\\(x-3)^2+(y+10)^2=9\\\\(x-3)^2+(y+10)^2=3^2[/tex]

the last equation is the standard equation of the circle with center (3, -10) and radius 3.

Indeed, we expect the intersection of a sphere with a plane to be a circle.

Similarly the y-z plane is represented by (0, y, z) and the x-z plane by (x, 0, z),

The intersection of the sphere with the plane y-z is:

[tex](0-3)^2+(y+10)^2+(z-4)^2=5^2\\\\(y+10)^2+(z-4)^2=25-9=16=4^2[/tex]

and the intersection of the sphere with the x-z plane is :

[tex](x-3)^2+(0+10)^2+(z-4)^2=5^2\\\\(x-3)^2+(z-4)^2=25-100\ \textless \ 0[/tex]

which makes no sense since the left hand side is positive (or at least 0).. This means that there is no intersection of the sphere with the x-z plane.

Answer:

intersection with the x-y plane: [tex](x-3)^2+(y+10)^2=3^2[/tex]

intersection with the y-z plane: [tex](y+10)^2+(z-4)^2=4^2[/tex]

intersection with the x-y plane: none

Related Questions

what is the value of a laptop that is 1700.00 with a decrease of 35% for 5 years

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1700.00\\ r=rate\to 35\%\to \frac{35}{100}\to &0.35\\ t=\textit{elapsed time}\to &5\\ \end{cases} \\\\\\ A=1700.00(1-0.35)^5[/tex]

Solve for n. 22 + n - 7 = 8n - 3n + n

Answers

22 + n - 7 = 8n - 3n + n
22-7=8n-3n
15=5n
n=3

hope this helps!

n = 3 because
Combine 22 and 7, and all the numbers in the other side, and you get
15+n=6n
And subtract n from both sides
And you get 15=5n
Divide both sides by 5
And you get 3=n

What property of real numbers is being used in the following (x+a)(x+b)=(x+a)x + (x+a)b ?

Answers

The distributive property. If we expand it, we get (x)(x+a)+b(x+a) by separating the variables in (x+b)

Distributive property. It shows that the first is being multiples the second.

can someone help with me with (bi)

Answers

Hello,

[tex] x=a*cos(t)==\ \textgreater \ \dfrac{dx}{dt} =-a*sin(t)\\ y=a*sin(t)==\ \textgreater \ \dfrac{dy}{dt}=a*cos(t)\\ \dfrac{dy}{dx} =- \dfrac{1}{tan(t)} \\\\ x= \dfrac{a}{2} ==\ \textgreater \ \\\\ cos(t)= \dfrac{1}{2} ==\ \textgreater \ t= \dfrac{\pi}{3} ==\ \textgreater \ y=a* \dfrac{\sqrt{3}}{2} \\\\ y'=- \dfrac{\sqrt{3}}{3} \\\\ \textrm{Equation of the tangent :}\\ y-a*\dfrac{\sqrt{3}}{2}=(x-\dfrac{a}{2} )*(- \dfrac{\sqrt{3}}{3})\\\\ y=- \dfrac{ \sqrt{3} }{3} *x+2*a*\dfrac{\sqrt{3}}{3}\\\\ \boxed{3y= \sqrt{3} *(2a-x)} [/tex]

Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.

Which equivalent expression could he also use to find the total cost?

A (1+0.06)15
B 1+0.06(15)
C15+0.6(15)
D15 + 0.06

Answers

Your equivalent expression would be (1+0.06)15=A.

Answer:

A is correct

Step-by-step explanation:

Marshall bought some pet supplies for $15

The sales tax was 6%

Expression: 1.06(15)

Cost of pet = $15

Sale tax = 6% of 15

= 0.06×15

Total cost after sale tax = 15 + 0.06×15

Take out 15 common = (1+0.06)15

The given expression is equivalent to (1+0.06)15

1.06(15) = (1+0.06)15

Using (1+0.06)15 to find total cost.

Which rate is equivalent to the unit rate of 13 miles per gallon? (5 points)

Answers

13 miles per gallon....13/1
now all u have to do is find an equivalent fraction.
26/2 = 13/1...they're equivalent...so ur answer is 26/2

Answer:

26/2

Step-by-step explanation:

i just know its right cause i got it right

Now, find the value of 316⋅2574⋅32.don't be intimidated by the complexity of this expression. finding this value consists of simply multiplying twice and then dividing once, tasks that are no more difficult than what you've done before.

Answers

Given
[tex]\frac{3}{16}\cdot\frac{2}{5}\div\frac{7}{4}\cdot\frac{3}{2}[/tex]
we solve the problem by breaking it into two part before we join them and divide.

For the first part, we have
[tex]\frac{3}{16}\cdot\frac{2}{5}=\frac{3}{40}[/tex]

For the second part we have
[tex]\frac{7}{4}\cdot\frac{3}{2}=\frac{21}{8}[/tex]

We now join the first part and the second part to divide as follows:

[tex]\frac{3}{40}\div\frac{21}{8}=\frac{3}{40}\cdot \frac{8}{21} = \frac{1}{35} [/tex]

Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally bettween 5 large bowls. How many grams of Apple slices did Cora put in each bowl. kilogram = 1000 grams

Answers

First, you want to convert your 18kg to grams. This is just 18*1,000=18,000g. Then to find your answer, you just need to divide 18,000g by 5 since the slices are being divided between 5 bowls.

The number of grams should be 3,600 grams.

Given that,

Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally between 5 large bowls.

Based on the above information, the calculation is as follows:

[tex]= 18\times 1,000 \div 5[/tex]

= 3,600 grams

Therefore we can conclude that The number of grams should be 3,600 grams.

Learn more: brainly.com/question/6201432

A chicken soup recipe calls for 9 cups of chicken stock. How much is this in quarts? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

There are 2.25 quarts in 9 cups of chicken stock.

Here's how we can convert cups to quarts:

Since "quarts" are commonly used as whole numbers or mixed numbers, we don't usually express them in decimals.

Conversion factor: Remember that there are 4 cups in 1 quart. This is the conversion factor we'll use.

Calculation: To find the equivalent amount in quarts, we can multiply the number of cups by the conversion factor:

9 cups * (1 quart / 4 cups) = 2.25 quarts

Therefore, 9 cups of chicken stock is equivalent to 2.25 quarts.

Final answer:

To convert 9 cups to quarts, we can use the conversion factor 4 cups = 1 quart. Therefore, 9 cups of chicken stock is equal to 2 1/4 quarts.

Explanation:

To convert cups to quarts, we can use the conversion factor 4 cups = 1 quart.

Given that the recipe calls for 9 cups of chicken stock, we need to determine how many quarts this is.

Using the conversion factor, we can set up the following proportion: 4 cups / 1 quart = 9 cups / x quarts.

Cross-multiplying, we get 4 * x = 1 * 9, which simplifies to x = 9/4 or 2 1/4 quarts.

Therefore, 9 cups of chicken stock is equal to 2 1/4 quarts.

Find the absolute maximum and minimum values of the function f(x, y) = x2 + xy + y2 on the disc x2 + y2 ≤ 1

Answers

[tex]f(x,y)=x^2+xy+y^2[/tex]
[tex]\dfrac{\partial f}{\partial x}=2x+y[/tex]
[tex]\dfrac{\partial f}{\partial y}=2y+x[/tex]

Critical points occur when both partial derivatives vanish; this happens when

[tex]\begin{cases}2x+y=0\\2y+x=0\end{cases}\implies x=0,y=0[/tex]

The function has Hessian

[tex]\mathbf H(x,y)=\begin{bmatrix}\dfrac{\partial^2f}{\partial x^2}&\dfrac{\partial^2f}{\partial x\partial y}\\\\\dfrac{\partial^2f}{\partial y\partial x}&\dfrac{\partial^2f}{\partial y^2}\end{bmatrix}=\begin{bmatrix}2&1\\1&2\end{bmatrix}[/tex]

which at [tex](0,0)[/tex] has [tex]\det\mathbf H(0,0)=3>0[/tex]. And since [tex]\dfrac{\partial^2f}{\partial x^2}\bigg|_{x=0,y=0}=2>0[/tex], it follows that a local minimum occurs at [tex](0,0)[/tex] with a value of [tex]f(0,0)=0[/tex].

Meanwhile, we can parameterize the boundary by

[tex]\begin{cases}x=\cos t\\y=\sin t\end{cases}[/tex]

with [tex]0\le t\le2\pi[/tex]. So

[tex]f(x,y)=f(x(t),y(t))=F(t)=\cos^2t+\sin t\cos t+\sin^2t=1+\dfrac12\sin2t[/tex]

which has critical points when [tex]F'(t)=0[/tex]:

[tex]F'(t)=\cos2t=0\implies 2t=\dfrac\pi2+n\pi\implies t=\dfrac\pi4+\dfrac{n\pi}2[/tex]

We only have 4 points to worry about: [tex]t=\dfrac\pi4,\dfrac{3\pi}4,\dfrac{5\pi}4,\dfrac{7\pi}4[/tex]

Now,

[tex]F\left(\dfrac\pi4\right)=\dfrac32[/tex]
[tex]F\left(\dfrac{3\pi}4\right)=\dfrac12[/tex]
[tex]F\left(\dfrac{5\pi}4\right)=\dfrac32[/tex]
[tex]F\left(\dfrac{7\pi}4\right)=\dfrac12[/tex]

So we find that an absolute minimum occurs at [tex](0,0)[/tex] with a value of [tex]0[/tex], and two more extrema occur along the boundary when [tex]t=\dfrac\pi4[/tex] and [tex]t=\dfrac{5\pi}4[/tex], i.e at the points [tex]\left(\dfrac1{\sqrt2},\dfrac1{\sqrt2}\right)[/tex] and [tex]\left(-\dfrac1{\sqrt2},-\dfrac1{\sqrt2}\right)[/tex], both with the same maximum value of [tex]\dfrac32[/tex].

Brian irons 2/9 of a shirt in 3 3/5 minutes. How long will it take him to iron one shirt? At this rate, how long will it take to iron 5 shirts?

Answers

Alright, so since you can't multiply 2/9 into 1 super easily, we could divide it by 2 and multiply it by 9 then to get 1, so that's what we'll do. Since 3+3/5 is
15/5+3/5=18/5 (since 5 goes into 15 3 times), we can divide that by 2 to get 18/2/5=9/5. Multiplying that by 9, we get 9*9/5=81/5=the amount of minutes it would take to iron 1 shirt. Since 5 goes into 80 16 times, we can write 81/5 as 80/5+1/5=16+1/5. In addition, we need to find how long it would take to iron 5 shirts, and to do that we can multiply 1 shirt's time by 5, getting
81*5/5=405/5=81 minutes since 5 goes into 405 81 times.

Brian takes 16.2 minutes to iron one shirt and 81 minutes to iron five shirts at the rate of ironing 2/9 of a shirt in 3 3/5 minutes.

Brian irons 2/9 of a shirt in 3 3/5 minutes. To determine how long it takes to iron one full shirt, we can set up a proportion. Since 2/9 of a shirt takes 3 3/5 minutes, we can find the time for 1 shirt by multiplying 3 3/5 by 9/2.

First, we convert 3 3/5 to an improper fraction: (3 * 5) + 3 = 18/5. Now, multiply this by 9/2:

(18/5) * (9/2) = 81/5 = 16.2 minutes. Therefore, it takes 16.2 minutes to iron one shirt.

To find the time for 5 shirts, since the rate of ironing is constant, we multiply the time for one shirt by 5:

16.2 minutes * 5 = 81 minutes.

Brian will take 16.2 minutes per shirt, and 81 minutes for 5 shirts, at the given rate.

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

Answers

First, lets find the number of gallons needed for 2727 miles. We can do this by dividing the miles by the miles per gallon, this way we have an number in gallons. So...
2727 / 27 = 101Gallons

Now, we know we need 101 gallons, and since each gallon is 4.04, we can find how much it is, by multiplying the amount times the number needed So...
101 * 4.04 = 408.04

S.O.S I NEED HELP ON THIS QUESTION

What is the recursive formula for the geometric sequence with this explicit formula?

Answers

a(n) = 9.(-1/3)ⁿ⁻¹

for n = 1; a₁ = 9.(-1/3)⁰ = 9.(1) = 9

for n=2 , a₂ = 9.(-1/3)¹ = -9/3 = -3 or a₂ = a₁.(-1/3)¹

for n=3 ; a₃ = 9.(-1/3)² =9/9 =1 or a₃ = a₂.(-1/3)²

so a₁ =9 and

a(n) = a(n-1)(-1/3) (ANSWER A)

Final answer:

To write a recursive formula for a geometric sequence, you need to know the first term and the common ratio. The recursive formula is expressed as each term being a multiple of its preceding term.

Explanation:

The question asks us to find a recursive formula for a geometric sequence when its explicit formula is already known. A recursive formula for a geometric sequence defines each term of the sequence as a multiple of the previous term, typically expressed as an = r × an-1, where r is the common ratio and an is the nth term. The first term, often denoted by a1, must be provided to start the sequence. To obtain a recursive formula, you need to know the first term and the common ratio. The explicit formula normally has the form an = a1 × rn-1. Using this explicit formula, you would need to solve for a1 and r to write the recursive formula.

what is 24/7 as a mixed number

Answers

I can't do the fraction bar but it's 3 and 3/7

3 3\7. You can make it long division. Put 24 in the box and 7 outside 7 goes into 2 0 times. 7 goes into 24 3 times (3x7=21) put 3 on top of the box. Subtract
24-21=3. Add the 0 to the top of the box and make it a fraction. 3 as the numerator and 7 as the denminator.

The length of a rectangle is 9 inches more than twice it's with if the perimeter of the rectangle is 90 inches find its length and width

Answers

perimeter = 2L + 2W

L = 2w+9

90 = 2(2w+9) + 2W

90 = 4W+18 +2W

90 = 6W +18

72 = 6w

w = 72/6 = 12

l = 2*12+9 = 33

2x12 = 24, 2x33 = 66, 66+24 = 90

Length = 33 inches

Width = 12 inches

What is y=-9/2x-11 in standard form?

Answers

y=mx+b is the slope formula
So the equation you have listed follows the standard form of the slope formula
y=-9/2x(slope)-11(y-intersect)

Basically, you don't have to solve an equation that looks something like:
9/2x + y=-11 to put it into the standard form you have presented.

The standard form of the equation y = - 9/2x - 11 is 9x + 2y = - 22.

Given that,

The equation of a line is,

y = - 9/2x - 11

Now we can change the equation into standard form as,

y = - 9/2x - 11

Multiply both sides by 2;

2y = - 9x - 22

Add 9x on both sides,

2y + 9x = - 22

Arrange the equation,

9x + 2y = - 22

Therefore, the standard form is 9x + 2y = -22.

To learn more about the equation visit:

brainly.com/question/28871326

#SPJ5

Find the cube number that is greater than 50 but less than 100

Answers

The cube number is 64. It is 4 x 4 x 4.

the cube number that is greater than 50 but less than 100 is 64

Really need help with this, am I on the right track or no?

Answers

[tex]\bf a)\\\\ V=\stackrel{\textit{volume of cone}}{\cfrac{\pi r^2\cdot \boxed{3r}}{3}}+\stackrel{\textit{volume of hemisphere}}{\cfrac{2\pi r^3}{3}}\implies V=\cfrac{3\pi r^3}{3}+\cfrac{2\pi r^3}{3} \\\\\\V=\cfrac{5\pi r^3}{3} \\\\\\ S=\stackrel{\textit{lateral area of cone}}{\pi r\sqrt{r^2+\boxed{3^2r^2}}}+\stackrel{\textit{area of hemisphere}}{2\pi r^2}\implies S=\pi r\sqrt{r^2+9r^2}+2\pi r^2[/tex]

[tex]\bf S=\pi r\sqrt{10r^2}+2\pi r^2\implies S=\pi r^2\sqrt{10}+2\pi r^2 \\\\\\ S=\pi r^2(2+\sqrt{10})\\\\\\ b)\\\\ \stackrel{A=kS}{A=k\cdot \pi r^2(2+\sqrt{10})}\qquad \qquad \stackrel{C=kV}{C=k\cdot \cfrac{5\pi r^3}{3}}[/tex]

[tex]\bf c)\\\\ A\ge C\implies k\cdot \pi r^2(2+\sqrt{10})\ge k\cdot \cfrac{5\pi r^3}{3} \\\\\\ k\pi r^2(2+\sqrt{10})\ge \cfrac{5k\pi r^2r}{3}\implies \cfrac{\underline{k\pi r^2}(2+\sqrt{10})}{\underline{k\pi r^2}}\ge\cfrac{5r}{3} \\\\\\ 3(2+\sqrt{10})\ge 5r\implies 6+3\sqrt{10}\ge 5r\implies \cfrac{6+3\sqrt{10}}{5}\ge r[/tex]

Sweet T has 2 orange picks for every 5 green. If there are 21 picks in all, how many picks are orange?

Answers

Hello There!

The ratio of orange to green is 2:5
5 + 2 = 7
21/7 = 3
2 x 3 = 6
5 x 3 = 15.
It would be a ratio of 6:15 now.
There are 6 orange picks.

Hope This Helps You!
Good Luck :)

Answer:

The number of picks which are orange is:

Step-by-step explanation:

Sweet T has 2 orange picks for every 5 green.

i.e. if orange picks=2x then green picks=5x

There are 21 picks in all

i.e. 2x+5x=21

⇒ 7x=21

Dividing both sides by 7

⇒ x=3

So, number of orange picks=2×3=6

The number of picks which are orange is:

a line intersects the points (-23, -17) and (-13, -7). Find the slope of the line.

Answers

The slope of a line through points [tex]A(x_1, y_1)[/tex] and [tex]B(x_2, y_2)[/tex] is :

[tex]\displaystyle{ \frac{y_2-y_1}{x_2-x_1} [/tex]

or

[tex]\displaystyle{ \frac{y_1-y_2}{x_1-x_2} [/tex],

it is the same thing, BUT it it always y's over x's and always in the same order of 1 and 2:

don't write: [tex]\displaystyle{ \frac{y_1-y_2}{x_2-x_1} [/tex]

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

The slope of the line through the points (-23, -17) and (-13, -7) is :

[tex]\displaystyle{ \frac{-17-(-7)}{-23-(-13)}= \frac{-17+7}{-23+13}= \frac{-10}{-10}=1 [/tex]

Answer: 1

On a trip Jeff’s car goes 112 miles and uses 4
gallons of gas what is the unit rate for mile to gas

Answers

112/4 = 28

This means that it is 28 miles a gallon.

Hope this helps! :)

So there is 112 you divide that by 4. Which is 28. So it is 28 over 1.

Kyle works 40 hours at a rate of $10.75 per hour. He has total deductions of $87.25. What is his net pay?

Answers

First we need to figure out his total pay. 40hrs*$10.75=$430

He earned $430, but had deductions of $87.25. $430-$87.25=$342.75

Therefore, Kyle's net pay was $342.75.

What is: Q=1/2P+15, solve for P?

Answers

Answer:

2 ( Q - 15 ) = P

Step-by-step explanation:

[tex]Q =\frac{1P}{2} + 15[/tex]

First, take 15 to the left side.

[tex]Q -15=\frac{1P}{2}[/tex]

Multiply both sides by 2.

2 ( Q - 15 ) = 1P

Divide both sides by 1.

2 ( Q - 15 ) = P

2/3 of the baked chicken was left over. Michela ate 1/4 of the leftover chicken. How much of the whole chicken did Michela eat?

Michela ate of the whole chicken.

Answers

Greetings!

"2/3 of the baked chicken was left over. Michela ate 1/4 of the leftover chicken. How much of the whole chicken did Michela eat?"...

This can solved by multiplying the fraction by each other:

2/3*1/4
2*1=2
3*4=12
=2/12 or 1/6.

She 1/6 of the whole chicken.

Hope this helps.
-Benjamin

Answer: i think its 1/6

Step-by-step explanation:

A house has increased in value by
29%
since it was purchased. If the current value is
$387,000
, what was the value when it was purchased?

Answers

Final answer:

The original value of the house before the 29% increase was approximately $300,000, calculated by dividing the current value of $387,000 by the total percentage value of 129%.

Explanation:

The student's question revolves around the concept of percentage increase in Mathematics. To find the original value of the house before the increase, we need to consider the current value as 129% of the original value (since there was a 29% increase). Let's denote the original value as P.

So, we can set up the equation: 1.29 * P = $387,000. To solve for P, we divide both sides by 1.29: P = $387,000 / 1.29. Upon performing this division, we find that P, or the original purchase price of the house was approximately $300,000.

Final answer:

To find the value when the house was purchased, we set up an equation using the given information and solved for the original value. The value of the house when it was purchased was approximately $300,775.19.

Explanation:

To find the value of the house when it was purchased, we need to determine the original value before the 29% increase.

Let's assume the original value is x. The current value is $387,000, which is 29% higher than x.

We can express this as an equation: x + 0.29x = $387,000.

Combining like terms, we get 1.29x = $387,000.

Dividing both sides by 1.29, we find that x = $300,775.19.

Therefore, the value of the house when it was purchased was approximately $300,775.19.

A car can travel 20 miles on a gallon of gas. Write and solve an inequality to show at least how many gallons of gas are needed to travel 100 miles? let g=gallons of gas

Answers

20g=100

This means 20 miles times the number of gallons needed to equal 100 miles

Write three more equations with integer coefficients and the variable x that have the same solution set {7, -1}. Explain.

Answers

The given values of abscissa and ordinate in the given are that which when substituted to the values of x and y in the equation will make the equation true. This means that the left and right-hand side of the equation will be equal. The established equations should have a basis of,

x + y = c

The equations are,

x + y = 6

Substituting x = 7 and y = -1,

7 + (-1) = 6 ; 6 = 6

The other two equations will be,

2x + y = 13 and,

x + 2y = 5

It is to be noted that countless of equations can be made with the given solution so long as the equation is valid.

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?

Answers

Answer with explanation:

Number of oak trees =54

Number of pine trees =27

→Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.

We, will take H CF that is highest common factor of 54 and 27.

54 = 2×3×3×3

27=3×3×3

→H CF(54,27)=3 × 3×3=27

So, greatest number of trees Abe can have in each row =27,and there will be maximum of 3 rows, 2 containing oak tree because [tex]\frac{54}{27}=2[/tex], and one containing pine tree because[tex] \frac{27}{27}=1[/tex].

The greatest number of trees in each row is 27.

What are factors?

The factors of a number are numbers that divide the original number into equal numbers. They are numbers that when they are used to divide another number, the result is an integer.

What is the greatest number of trees that can be in each row?

In order to determine the required value, we have to determine the common factors of 27 and 54.

Factors of 27 = 1, 3, 9 and 27Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54.Common factors = 1, 3, 9, 27

To learn more about factors, please check: https://brainly.com/question/26073850

A store item is originally priced at $80. The item goes on sale at a 25% discount. Two weeks later that sales price is marked down an additional 10%. What is the current price of the item?

Answers

80 - (80 x .25) = $60
60 - (60 x .10) = $54

Answer is $54 dollars

If country a has 163,950 million more computers than country b and the total number of computers for both countries is 314,250 million, find the number of computers for each country

Answers

Country A = 163,950
Country B = ?
314250= B+[B+163950]
314250-163950= 2B
150300=2B
B=75150 millon
A=239100 millon

Answer:

Country A has 239100 million computers and country B has 75150 computers.

Step-by-step explanation:

Let country A has number of computers = x

and the number of computers in country B = y

By the statement " Country A has 163950 million more computers than country B"

x = y + 163950 ------(1)

Another statement states " Total number of computers in both the countries is 314250 million"

x + y = 314250 --------(2)

Now we place the value of x from equation (1) to equation (2)

y + y + 163950 = 314250

2y = 314250 - 163950

2y = 150300

y = [tex]\frac{150300}{2}[/tex]

= 75150

From equation 1

x = 75150 + 163950

= 239100

Therefore, country A has 239100 million computers and country B has 75150 computers.

Other Questions

Of the ice cream cones sold yesterday at percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla. what fraction of the ice cream cones sold were either chocolate or vanilla ________ formed an important part of the political party movement by bringing a social element to the meetings. "who is credited with the rest approach to web services?" Storytellers may take on A) many characters. B) pantomime. C) the use of theatrical make up. D) a script. The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h A=H(A+B)/2Solve for b.A. B=Ah/2-aB. B=2A/h+aC. B=2A/h-aD. B=2A-a/h Did hunter-gatherers eat berries and nuts as part of their diet?hunter-gatherers || Early humans, cave-men, first-men on earth. How did the delegates to the constitutional convention balance competing interests? Approximately 1.0g of caffeine will dissolve in 28ml of methylene chloride and in 46ml of water. calculate the distribution coefficient of caffeine in this solvent system. Seven years ago, kodi found a box of old baseball cards in the garage. since then, he has added a consistent number of cards to the collection each year. he had 52 cards in the collection after 3 years and now has 108 cards. kodi looking into his box of baseball cards. how many cards were in the original box? is this t(0) or t(1)? write the first few terms of the sequence. kodi plans to keep the collection for a long time. how many cards will the collection contain 10 years from now? write an equation that determines the number of cards in the collection after n years. what does each number in your rule represent? When making a full batch of tuna you will mix one pouch of tuna with 26 ounces 737 g of mayonnaise how much Tony mayonnaise would you need when making a double batch Which description is not a property of a base? A.) pH lower than 7 B.) Turns litmus paper blue C.) Bitter tasteD.) Slimy feel I need help with #12. I have to show work too. What types of triangles can have an obtuse angle?Scalene RightAcuteIsosceles Review the scenario: Khianna just learned that microscopic, tiny, small and minIscule are all synonyms.Which reference material would be most likely to contain this information? Factor the polynomial x^9-y^12 Kya has read two myths, each from a different culture, about a great flood that destroyed the world. Read the following summaries. In the first myth, the world is destroyed because the people had become very wicked and had strayed from religious behavior. God warns one righteous couple in advance. They build a great boat and save themselves, their family, and two of every animal. In the second myth, the Earth floods because it is thrown into a great ocean by a demon. The Earth and its greatest sages are saved by a saintly king who recognizes the gods instructions as they are issued from the mouth of what appears to be a fish. Based on the summaries, which statement comparing the cultural contexts of these myths is accurate? The tellers of both myths seem to believe in a god who protects those who are saintly or righteous. The tellers of both myths seem to believe that their god can speak through the mouths of animals. Both myths suggest that the myth-tellers ate fish. Both myths suggest a belief in evil non-human beings that protect the Earth. can someone help me out ella es ___ profesora americana Explain why the equation 6|x| + 25 = 15 has no solution. When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution. When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution. When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution. The statement is false. There is a solution. A good-quality measuring tape can be off by 0.50 cm over a distance of 20 m. what is its percent uncertainty? Steam Workshop Downloader