When two computers are working together, they can finish updating software in 9 minutes. How long would they take individually to update the software if one computer takes 24 minutes longer than the other?

Answers

Answer 1

First computer takes x min. For 1 min it does 1/x part of work.

Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.

Both computers for one min do (1/x+1/(x+24)) part of work.

At the same time, both computers for one min do 1/9 part of work.

[tex] \frac{1}{x} + \frac{1}{x+24} = \frac{1}{9} \\ \\ \frac{x+24+x}{x(x+24)} = \frac{1}{9} \\ \\9(2x+24)=x^{2} +24x \\ \\ 18x+216=x^{2} +24x \\ \\ x^{2}+6x-216=0 \\ \\ D=b^{2}-4ac=36+4*216 = 900 \\ \\ x= \frac{-b+/- \sqrt{D} }{2a} = \frac{-6+/-30}{2} \\ \\ x_{1}=-18, x_{2}=12 We can use only positive number here. So, for the first computer x=12 min, for second computer x+24=12+24= 36 min Answer 12 min and 36 min.[/tex]

Answer 2

It would take the computers 12 minutes and 36 minutes respectively to individually update the software

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time it takes the fastest computer. Hence:

[tex](\frac{1}{t}+\frac{1}{t+24})9=1\\ \\ t=12 \ minutes[/tex]

It would take the computers 12 minutes and 36 minutes (12 + 24) respectively to individually update the software

Find out more on equation at: https://brainly.com/question/2972832

Related Questions

The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?

Answers

The standard deviation is 3.

The formula for a z-score is

z = (X-μ)/σ

Using our information, we have

-1.7 = (13-18.1)/σ

Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1

Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3

What is likely to happen if a new aggregate demand curve moves to the right?

Answers

If the aggregate demand curve shifts to the right it refers to the increase in total quantity of the demanded goods and services. It also signifies economic expansion. If there are also new fiscal policies, then there will also be an increase in aggregate demand.

Answer:

Prices and output would rise, and the equilibrium point will change.

Which table shows the relationship y=-3x+2?

Answers

Table D, because: -3×(-1)+2=5, -3×0+2=2, -3×1+2=-1, -3×2+2=-4.

Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5

Answers

x = 17.5

Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.

Here's how you solve it:

You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)

Substitute each factor so that the equation now appears as so:

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)

This will give you: h = 11.67

Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)

This will then give you:

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

Because you now know the angles of S and T, you need to use the law of sin again.

t over sin (T) = s over sin (S)

t = 10 + x
s = 8 + 18 = 22

Thus, you need to substitute the variables to get this equation:

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

Thus, getting the answer of x = 17.50

Answer: x = 17.5

Step-by-step explanation:

You're using interior angles

Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

t over sin (T) = s over sin (S)

t = 10 + x

s = 8 + 18 = 22

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

the answer of x = 17.50

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

There are 16 pink jelly beans in a bag. The ratio of red to pink jelly beans in the bag is 3/4. Which proportion could NOT be used to find r, the number of red jelly beans in the bag

Answers

the complete question in the attached figure

Let
r----------> the number of red jelly beans in the bag
p---------> the number of pink jelly beans in the bag

we know that
r/p=3/4
p=16
so
r/p=3/4--------> r/16=3/4-----> r=(3/4)*16-----> r=12

therefore

case A) 3/4=r/16-----> is correct, the proportion could be used to find r

case B) 16/r=4/3----> r=16/(4/3)----> r=16*3/4-----> r=12-----> is correct
the proportion could be used to find r

case C) 3/4=r/16-----> is correct, the proportion could be used to find r

case D) 3/4=r/16-----> is correct, the proportion could be used to find r

the answer is
All proportions could be used to find r

What is the value of X 56•

Answers

Your Answer Is B) 68 Hoped This Helped!!!

Find the slope of the line that passes through each pair of points.

1. (5,2),(3,1)

2.(-7,4),(-5,0)

Answers

1. (1-2)/(3-5) = (-1)/(-2) = 1/2

2. (0-4)/(-5-7) = (-4)/(-12) = 1/3

To find the slope you’d do the second y-value minus the first y-value over the second x-value minus the first x-value.

Jill has a balance of $5,000 on her credit card with an annual interest rate of 15%. To pay off the $5,000 in three years, Jill will have to make a minimum payment of $173.33 per month. To pay off the $5,000 in five years, Jill will have to make a minimum payment of $118.95 per month. How much more does Jill have to pay when the length of the loan changes from 3 years to 5 years? A) $1,239.88 B) $1,957.68 C) $2,137.00 D) $897.12

Answers

mark me brainlyest if i get this right 1 sec
 c is what it is

Answer:

The answer is D) $897.12

Step-by-step explanation:

3 years = 36 months

173.33 * 36 = 6239.88

5 years = 60 months

118.95 * 60 = 7137.00

7137.00 - 6239.88 = 897.12

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3

Answers

we know that
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in

[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³

the answer is
5.23 in.3

To find the volume of the cone, you will use the formula for the volume of a cone and replace the r(radius and the h(height) with the given values.

V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 1^2 x 5
V = 5.2281

The volume is approximately 5.23 cubic inches.

the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?

Answers

Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]

Answers

Put the terms in order of decreasing degree, all on the left. When convenient, it is nice to have mutually prime integer coefficients with the leading one positive.

a) x² -2x +1 = 0

b) x² +15 = 0

c) 4x² -12 = 0
or, better, divide out the common factor of 4.
x² -3 = 0

d) 3x² -x -5 = 0

_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.

Need help with this one

Answers

Multiply 5 by 3 and get 15.4 + 15 = 19

That's cake! You have to multiply 3 by 5 to get 15. Then you add that to 4 and viola! 19! :3

A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?

Answers

Box 1: 525 cubic inches Box 2: 581.625 cubic inches

the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.

Answers

While I cannot see your answer choices, the correct answer would be one that has a coefficient that is a multiple of 3 and has an x raised to an exponent of no more than 2. It could have any other variables in it.

The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.

Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.

Final answer:

The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.

Explanation:

The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.

An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.

William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.

Answers

T=total

T = 6(4) + 54
William had 78 at the start

Reply if you need more help!

I dont know this one!

Please answer the picture.

Answers

I hope that helps. Feel free to message me anytime if you need more help

Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .

Answers

Hello!

You can substitute y into the other equation

7 = -3x - 2

Add 2 to both sides

9 = -3x

Divide both sides by -3

-3 = x

The answer is -3

Hope this helps!

The value of x is -3 and the solution to this system of equations is (-3 , 7).

When a number of variables are involved, the system of equation is generated. The system of equation has been the set of simultaneous equations as well.

Given :

[tex]y = -3x-2[/tex] ---- (1)

[tex]y=7[/tex] ----- (2)

Solution :

From, equation (1) and (2) we get the value of x to be:

[tex]7=-3x-2[/tex]

[tex]9=-3x[/tex]

[tex]x=-3[/tex]

Therefore, the value of x is -3.

For more information, refer the link given below

https://brainly.com/question/13911928

Find P(C|Y) from the information in the table.

To the nearest tenth, P(C|Y) =

Answers

From the definition of conditional probability,

[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]

and by the law of total probability,

[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]

In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,

[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]

Answer:0.5

Step-by-step explanation:

PLEASE help!!! what is 4y + 12x= 24 in y intercept form????

Answers

4y + 12x = 24
Solve for y. Subtract 12x from both sides.

4y = 24 - 12x
Divide both sides by 4.

y = 6 - 3x

Y=3x+6. Subtract over the 12x then divide by 4 to get the answer

Anthony purchased 6 fruit bars and 3 chocolate-nut bars for a camping trip. He spent $4.12 on the bars. Anthony wrote the following equation: . What did he define as the variable x?

Answers

X is the number of bars that in trip

He used x to represent the number of items in which he bought the fruit bars. The piece of information missing is that we need to know the price, guessing it look like this
(price of FB)x+(price of CB)x=4.12

What is the value of X 56•

Answers

The value of x is 68 degrees. This is because a triangle equals 180 in whole and the two bottom angles are equal. 180 - 56 - 56 = 68

The measure of angle x in the isosceles triangle is 68 degrees.

The correct option is 68°.

What is the measure of angle x?

The figure in the image is an isosceles triangle.

An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.

From the diagram;

Since the triangle is an isosceles triangle:

Angle 1 = 56 degrees

Angle 2 = 56 dgerees

Angle 3 = x

Note that the sum of the interior angle of a triangle adds up to 180 degree.

Hence;

Angle 1 + Angle 2 + Angle 3 = 180

56 + 56 + x = 180

Solve for x

112 + x = 180

x = 180 - 112

x = 68 degrees

Therefore, x has a value of 68 degree.

Learn more about isosceles triangle here: https://brainly.com/question/28412104

#SPJ3

Determine the factors of ax + ab + 2by + 2xy.

Answers

ax + ab + 2by + 2xy =(ax + ab) + (2by + 2xy)=

=a(x+b) + 2y(x+b) =(x+b)(a+2y)

ax + ab + 2by + 2xy = (x+b)(a+2y)

Answer: (x+b) (a+2y)

Step-by-step explanation:

ax+ab+2by+2xy

split the equatuion in half

1. ax+ab 2. 2by+2xy

gcf=a gcf=2y

ax/a=x 2by/2y= b

ab/a=b 2xy/2y= x

a(x+b) 2y(x+b)

Answer :(x+b)(a+2y)

Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational

Answers

I believe the answer is A

Answer: A.) Point.

Step-by-step explanation:

The Smith family has a two-and-a-half-foot-long sandwich to share. One-half foot of the sandwich will serve one person. How many one-half foot servings are in this sandwich?

Answers

To find the amount of servings, we divide the total sandwich by the amount given to one person:
2 1/2 / 1/2
This can simplify into:
5/2 / 1/2
Dividing a fraction is basically multiplying it's flipped side:
5/2 * 2
10/2 = 5
There are 5 servings in the sandwich

An equation is shown below:

5(2x − 3) = 5

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work.

Answers

10x -15 = 5
10x = 20
x = 2

This equation has one solution.

The solution would be x = 2

A) This equation has only one solution. B) The solution would be x = 2.

How to find the solution to the given system of equation?

For that ,we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

Given equation is 5(2x − 3) = 5

By solving further,

10x -15 = 5

10x = 20

x = 2

A) This equation has only one solution.

B) The solution would be x = 2

Learn more about the case of solutions here:

https://brainly.com/question/26254258

#SPJ2

brainliest FOR WHO HELP ME a spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diameter of 9 centimeters. Approximately how much greater is the volume of a large donut hole than the volume of a mini donut hole?
86 cm³
113 cm³
226 cm³
268 cm³

Answers

4/3 *3.14*4.5^3-Donut Hole
4/3 *3.14*3^3-Mini Donut

Then Subtract the greater answer from the smaller one.

the answer is 113 if my math is correct

The graph below represents which system of inequalities?

Option A

y > 2x − 3

y > −x − 3

Option B

y < 2x − 2

y < −x + 3

Option C

y ≤ 2x − 2

y > −x + 3

Option D

None of the above

Answers

I don’t know the graph

Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.

If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?

–1.76
–0.63
0.63
1.76

Answers

It appears either the teacher provided the calculator result or you did so yourself. Either way, the regression equation is approximately y = 0.628x + 1.759

The equation is in slope intercept form y = mx+b
m = slope = 0.628
b = y intercept = 1.759

The value 1.759 rounds to 1.76 which is the answer

1.76 is the answer
:)

A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.

Answers

Final answer:

Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.

Explanation:

This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.

Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.

Learn more about Circle's area here:

https://brainly.com/question/28642423

#SPJ12

Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12

Answers

Adjacent angles are angles that are side by side (right next to each other). They share a side. #7 and 11 are pairs of adjacent angles.

Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.

#10 and 12 do not fit either of these descriptions so they are neither.

Other Questions

why does eugene skinner want to give up boxing The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Genetic mutations can cause many different diseases and disorders. Which of the following diseases is caused by a genetic mutation?A. AIDSB.Cystic fibrosis C.Type 1 Diabetes D.rheumatoid arthritis I need to answer three questions about y = x^(-2) on the interval [-4, -1/2]. I have attached my questions and my answers as screenshots:Part 1 - ANSWER CPart 2 - ANSWER APart 3 - ANSWER BI am referring to each part in the order that I uploaded the screenshots. You will see that my answers are highlighted in blue. I like second opinions! Which part of the spermatozoa contains the most mitochondria?a. tailb. midpiecec. headd. acrosome? WILL GIVE BRAINLIEST Please help with geometry Review Questions1. Which myths and legends are common to many cultures?2. How do historical linguists trace a legend back to its roots?3. What are common mythemes in myths and legends?4. What themes do sacred myths often have in common?5. What are some of the shared symbols of sacred mythology?Critical Thinking Questions1. What conclusions can you draw from the many themes shared by sacred myths?2. What evidence is there that the myths of a world flood may be based on a historic event?3. Why is comparative mythology important to the study of myths?4. The cultural anthropologist Dr. Jamie Tehrani traced the story of Little Red Riding Hood back to a common ancestor over 2,600 years old. Why do you think the structure stayed the same even though he found so many variations and differences in story elements?5. Evil is often described in myths as entering the world after creation rather than being a part of it. Why do you think evil is not portrayed as an original part of creation?PLS submit at least one full paragraph for each question. At the end of the past month the cash account of a company had an ending balance of 6750. During the last month the account was debited for a total of 11350 and credited for a total of 10500. What was the balance in the cash account at the of the last month Why is it important for women to perform breast self - examinations? Piecewise function help! mr. martinez has 3 ice chests. he is placing 14 lunches in each ice chest. each lunch contains a sandwich, a bag of chips, and a drink. about 55% of these lunches contain a ham sandwich. which of the following is closest to the number of lunches that contain a ham sandwich? skillfull cultural allusions A.methodsB. dreamsC. referencesD. qualities Evaluate the numerical expression.3.8 4.8 0.4 2.4 PLEASE SOMEONE I AM SO DESPERATE like actually crying 1. The equation of a parabola is given. y=1/6x2+7x80 What is the equation of the directrix of the parabola?2. (y+2)^2= 129X-5) What is the equation of the directrix of the parabola? The depreciating value of a semi-truck can be modeled by y = Ao(0.87)x, where y is the remaining value of the semi, x is the time in years, and it depreciates at 13% per year.An exponential function comes down from the positive infinity and passes through the points zero comma eighty-seven thousand. The graph is approaching the x-axis.What is the value of the truck initially, Ao, and how would the graph change if the initial value was only $67,000? $90,000, and the graph would have a y-intercept at 20,000 $87,000, and the graph would have a y-intercept at 67,000 $87,000, and the graph would fall at a slower rate to the right $87,000, and the graph would fall at a faster rate to the right Which phrases from Queen Elizabeth's address to the troops at Tilbury rely on a rhetorical appeal to pathos? Check all that apply."my faithful and loving people""I have always so behaved myself""the loyal hearts and good will of my subjects""not for my recreation""my lieutenant-general shall be in my stead" A pound of chocolate costs 7 dollars. Tiffany buys p pounds. Write the equation to represent the total cost c that Tiffany pays. quando o ngulo de elevao do sol e de 70 a sombra de um edifcio medes 20 cm calcule a altura do edifcio dados : sen 70=0,93 cos 70=0,3 e tg70=2,74? If earth didn't spin on its axis but still revolved around the sun, how long would an earth day be?