the sum of two positive numbers is 588. minimize the sum of the first and three times the second

Answers

Answer 1

9514 1404 393

Answer:

  {587, 1}

Step-by-step explanation:

The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.

If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}

_____

The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.


Related Questions

PLEASE HELP!!! Find (angle) BAD.

Answers

Answer:

125

Step-by-step explanation:

31+24= 55 180-55= 125

Slove the math step by step

Answers

Answer  19

Step-by-step explanation:

x+a+y+a =19

Find the area of the polygon.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!

Step-by-step explanation:

HELP PLEASE I NEED TO PLOT THIS POINT :)

Answers

The point would be at (-6,5) I believe. Sorry if this is incorrect.

How to solve this problem. Please! Urgent
log 3+ loga(a^3)

Answers

log 3 + 3log a ( a ) =

log 3 + 3 × 1 =

log 3 + 3 =

0.4771 + 3 =

3.4771

Someone please help asap!!! It’s due in 45 minutes, how am I supposed to know where to shade when doing these?

Answers

Answer:

If you want to know the process on how to graph and shade, start by graphing the inequalities. Assume that the inequality signs are just =, so the equation is y=mx+b. Let's use 1) as an example. When the sign is < or >, it's a dotted line. If the sign is ≥ or ≤, it's a solid line. Once you're done graphing the inequalities, choose a random coordinate on the graph. Let's use (0,0). Now, plug in the x- and y-value into the equations. 0<-6(0)+3 and 0≤0-2. Simplify it to get 0<3 and 0≤-2. Because the inequality is true for y<-6x+3, you would shade the side of the graph that includes (0,0). Because the inequality isn't true for y≤-x-2, you would shade the side of the graph that doesn't include (0,0). The shaded parts of both inequalities should overlap somewhere and that's the area you need to officially shade.

Here's the worked example:

If you are still confused, feel free to ask! :)

You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?

Answers

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

What is unit rate?

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied.

what does mrs freeman pay for the meal

Answers

Answer:

Lin's father pay for the meal is $18.19

Step-by-step explanation:

Given:

Lin’s father is paying for a $20 meal.

He has a 15%-off coupon for the meal.

After the discount, a 7% sales tax is applied.

Now, to get the amount Lin's father pay for meal.

So, we deduct the 15% discount first:

$20 - 15% of $20.

Then, adding 7% sales tax:

$17 + 7% of $17

Therefore, Lin's father pay for the meal is $18.19.

Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?

Answers

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Select the correct answer.
Factor the polynomial below.
4.12
16
ОА.
4(x - 2)2
O B.
4(x + 2)(x - 2)
O c.
4(2 - x)2
4(2 + x)2 - x)

Answers

Answer:

B

Step-by-step explanation:

That was actually trickier than I thought it would be

I was looking for 4(x-4),   but 4(x-2)(x+2) also works

Answer:

4(x - 2)(x + 2)  (Answer B)

Step-by-step explanation:

4x^2 - 16 is the difference of two squares, a case in which there is a simple formula to remember:  a^2 - b^2 = (a - b)(a + b)

4x^2 - 16 = (2x - 4)(2x + 4)

This can be further simplified:  2(x - 2)(2)(x + 2) = 4(x - 2)(x + 2)  (Answer B)

WHAT HAPPENS WHEN NON-METALLIC ELEMENTS ARE COMBINED

Answers

When a nonmetal combines with another nonmetal , a covalent compound is formed

If Tom has 3 apples and Abby takes 4 then how many apples does Tom have left?

Answers

Answer:

He has 3 because it didn't say Abby took his..

Is that right?!

Answer:

0 apples

Step-by-step explanation:

3 - 4 = - 1

0 apples

pyramid = 40
prism = 30
prism = 30
Wprism = 30
What is the volume of this solid?
O A. 39,000
B. 63,000
C. 100,800
D. 27,000

Answers

Answer:

A. 39,000.

Step-by-step explanation:

Volume of the lower prism = 30^3= 27,000

Volume of the pyramid = 1/3 area of the base * height

= 1/3 * 900 * 40

= 1200

Volume of the whole solid = 27000 + 12000

= 39,000,

4x-3y<16, which ordered pair?

Answers

Answer:

A. (3, -1)

Step-by-step explanation:

The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:

Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16 (TRUE)

6/7 divide 4

Show your workings

Answers

Answer:

6/28 or 0.214

Step-by-step explanation:

6/7÷4=6/7÷4/1

6/7÷4/1=6/7×1/4

6/7×1/4=6/28

Not sure if you're allowed to leave it in a fraction or not, so as a decimal, it's 0.214 to 3 s.f.

Hope this helps :-)

Answer:

3.4285714284

Step-by-step explanation:

6÷7 = 0.8571428571

0.8571428571 × 4 = 3.4285714284

What type of angle measures 40 degrees
?

Answers

Answer: An acute angle

Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.

Acute angle hope this helps

Can someone help me rnnn please??

Answers

Answer:

No, they are the same triangles

Step-by-step explanation:

They both have a side length of 3 and 5 and an angle that measures 60 degrees. The triangles are just flipped in different directions.

If they were to draw an additional triangle that would make it seem different, they could expand the angle and make it obtuse to get a triangle with 1 wide corner.

List of 7 consecutive composite numbers less than 100. ​

Answers

Answer:

4

6

8

9

10

12

14

Step-by-step explanation:

any number that is not a prime number

Answer:

2,3,4,5,6,7,8

Make me brainliesttt :))

What is the surface area of the square pyramid? ​

Answers

Answer:

You find the area of all the faces of the square pyramid, then add them together to get the surface area.

PLEASE HELP!
Solve for x.
A.108 degrees
B.72 degrees
C.18 degrees
D.17 degrees


Answers

Option : D

72°+x =90°

x =18°

A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts

Answers

Answer:

3 shifts a day

Step-by-step explanation:

7 1/2 hours = 7.5 2 1/2 hours = 2.5

7.5 divided by 2.5 = 3

Answer:

3 shift

Step-by-step explanation:

7 1/2 / 2 1/2

(15/2) / (5/2)

keep, change, flip

(15/2) x (2/5)

30/10 = 3 shifts

What is the correct reason for statement 1

Answers

Answer:

Given

Step-by-step explanation:

You are given the information about the angles under the line given.

12 points help fast I need help

Answers

Answer:

False, False, True, True

Step-by-step explanation:

1

IQR'sRide A: 30 - 20 = 10Ride B: 30 - 10 = 20False, as 10 < 20

2

MediansRide A: 25Ride B: 20False, as 25 > 20

3

RangesRide A: 45 - 5 = 40Ride B: 35 - 0 = 35TRUE, as 40 > 35

4

MinimumRide A: 5Ride B: 0TRUE, as 0 < 5

Please help me out here

Answers

Answer:

40*

Step-by-step explanation:

the whole line FC would measure 180* so then 180-50 for AGC then AGB is congruent to EGD so 180-50-90---> 130-90---> 40* so angleBGC is 40 degrees

Need help asap! Please and thank you

Answers

Answer:

D

Step-by-step explanation:

The answer is D.

(Hope this helped)

Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.

How many hours does Jada need to walk dogs to earn enough money to buy the jacket?

Answers

Answer:

Eight Hours.

Step-by-step explanation:

Since she makes 4$ in 1 hour, you divide 32 by 4 to see how many hours it would take her.

32 divided by 4 = 8

Jada needs 8 hours to walk dogs to earn enough money to buy the new jacket which costs $32.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Jada wants to purchase a new jacket that costs $32.

Since she makes 4$ in 1 hour

So, Time is taken to earn money to 4$ = 1 hour

      Time is taken to earn money to1$  = 1/4hour

Time is taken to earn money to 32$ = 32/4hour

                                                   = 8 hour

Thus, Jada needs 8 hours to walk dogs to earn enough money to buy the jacket.

Learn more about the unitary method;

https://brainly.com/question/23423168

please help me i really need help please

Answers

V= 735.62

volume formula for sphere is v= 4/3 π r3
the radius is half of the diameter so v= 4/3 π 5.6 3

i think?

Need help solving this!

Answers

Answer:

A = 4πcm, 6πcm²

B = 45°, 35πcm²

C = 12m, 18.7πm or 19πm

Step-by-step explanation:

Formulas used...

Length of an arc of a sector = (¢/360)×2πr

Area of sector = (¢/360)×πr²

¢ means the angle given or used

Part 3a. NO LINKS. Find the measure of the arc or angle indicated.​

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

3x+4=2

Testing out the website thank you

Answers

Answer:

x=-6

Step-by-step explanation:

3x+4=2

3x=2-4

x=-2*6

x=-6

Answer:

3x+4=2

Sub 4

3x=-2

Divide 3

-2/3 or -0.67

Other Questions
which food is an oil-based food?A. MeatB. Skinless chicken C. cheese D. yogurt E. nutsI think I know the answer but I don't wanna look dum so Cual es el sujeto y el predicado en la hermosa mariposa vuela muy alto Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6. find the area of the trapezoid in square inches. If Dain wants $50,000 after 3 years to make a down payment on a house, how much does he need to invest every quarter, into an account that pays 6% compounded quarterly?Dain needs to invest $_____ every quarter. explain two in explain two ways in which responsible citizen can bring about awareness on the negative impacts of gender-based violence on the Victim If 8(x + 2) - 3( x - 4) = 6( x - 7) + 8, then x is what? Blood pressure decreases below normal levels. Blood flow to the heart decreases. Heart is unable to pump as much blood. Blood pressure decreases even more. This is an example of _____ feedback. Multiple choice question. Find 15.75 0.25 using a Giant One. Find the volume. Use pi as part of the equation. Round to the nearest 10th I will give 5 stars to whoever answers this ASAP thanks Im advance!!! Please help out with this Geometry problem !!! If your bill at a restaurant is $44.33, tax is 6.5% and you want to leave a 15% tip how much $ is your total bill? Round your answer to the nearest cent. John walks his dog home from the vet. The graph shows the remaining distance from his house as a linear function of x, the number of minutes he spent walking. Find the domain and range of the graph. PLEASE DO NUMBER 10 ILL GFIVE BRAIN LIEST FOR YOUR WORK Find the value of the following by suitable rearrangement. Mention the property used.a. 25 x 679 x 4b. 2917 x 102 - 2917 x 2 How does mutation lead to evolution? EASY MATH REALLY EASYYYYYYSammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the image below to determine the area of the triangle and how many she can cut out. The area of the triangle is 50 in2, so she can create only 2 triangles. The area of the triangle is 50 in2, so she can create only 4 triangles. The area of the triangle is 25 in2, so she can create only 2 triangles. The area of the triangle is 25 in2, so she can create only 4 triangles. Covalent bonding occurs when... a electrons are shared between atoms b cations attract to anions c protons fuse in the nucleus d electrons are transferred between atoms The sum of Ryann and Lori's ages is 96. Lori's age isseven times Ryann's age. How old is Ryann?