Find two positive numbers satisfying the given requirements.
The product is 152 and the sum is a minimum.

Answers

Answer 1

Answer:

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

8 + 19 = 27

Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19


Related Questions

Please show the solving

Answers

Step-by-step explanation:

YELLOW TRIANGLE:

[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]

PINK TRIANGLE:

[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]

1 What number is equivalent to the expanded form shown below?
A.203.043
B.203.403
C.230.430
D.230.403
Can someone help me with this

Answers

Answer

B

203.403

Cancel terms that are in both the numerator and denominator

( 2 1 0 0 ) + ( 3 1 ) + ( 4 1/1 0 ) + ( 3 1/1 0 0 0 )

( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )

Solution

( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )

Simplify the expression for the area

Answers

Answer:

UHHHHHHHHHHHHH

Step-by-step explanation:

Please help me it’s due in a couple of minutes

Answers

Number 7 is transferable skills

Answer:

7. Transferable skills

Step-by-step explanation:

Jada and Priya are trying to solve the equation 2/3+x=4
Jada says, “I think we should multiply each side by 3/2 because that is the reciprocal of 2/3."
Priya says, “I think we should add -2/3 to each side because that is the opposite of 2/3."
1. Which person's strategy should they use?
2. Explain your reasoning.

Answers

Answer:

Priya is correct.  Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.

Step-by-step explanation:

Let's run through solving it that way:

2/3 + x = 4

2/3 - 2/3 + x = 4 - 2/3

0 + x = 4 - 2/3

x = 4 - 2/3

x = 10/3

Given the right triangle, what should be the measurment for the hypotenuse?

Answers

Answer:

2x...................

A ladder 17 m long reaches a window 8 m high on one side of the road. the ladder is then turned over to the opposite side of the road and is found to reach another window 15 m high. Find the width of the road.Please apply the pythgoras property .

Answers

Answer:

23 m

Step-by-step explanation:

It is assumed the width of the street is the distance between the opposite buildings.

See the picture attached

It comprises of two parts:

x and y

Using Pythagorean theorem, lets find the value of x:

x² + 15² = 17²x² = 289 - 225x² = 64x = 8 m

Same rule for y:

y² + 8² = 17²y² = 289 - 64y² = 225y = 15 m

The width of the street (road) is:

8 m + 15 m = 23 m

SOMEONE PLEASE HELP ME

Answers

#1 is similar to write it out it’s triangle FHG ~ triangle KJL #2 is also but #3 and #4 aren’t

Write an equation to solve for b: What is b?

Answers

Answer:

Since all angles of a triangle add up to 180 degrees, b+2b+(b+24)=180

b=39 degrees

Step-by-step explanation:

b+2b+(b+24)=180

4b=156

b=39

Similarity between rotational, reflection and translation symmetry

Answers

Answer:

Step-by-step explanation:

A store sells 6 oranges for $3 what is the cost for 10 oranges ???? PLSSSS :(

Answers

Answer:

it would be 5$ for ten and 0.5 for each orange

Step-by-step explanation:

what is N in 60% of N = 90?

A. 540
B. 240
C. 180
D. 150​

Answers

Answer:

Answer is D.150

Step-by-step explanation:

I hope it's helpful!

Expand 3(x+ 2.3)
Expand 1/3(9x-12)

Answers

Answer:

3x+6.9 and 3x-4

Step-by-step explanation:

since 3 x x is 3x and the sign in the bracket is addition you place it there then place 3 x 2.3

being 6.9.

1/3 x 9is 9/3 and 3 can multiply both sides to get 3/1 or 3 then bring the minus and 1/3 x 12 is 12/3 3 can multiply both sides to get 4/1 or 4

Can someone help me with this question please
I’ll mark you as a brainliest.

Answers

Answer:

angle 2 = 133

angle 3 = 47

Step-by-step explanation:

angle 2 and angle 1 are supplementary, so they equal 180. 180- 47=133

angle 3 and angle 4 are supplementary, so they equal 180. 180- 133=47

hey hey hey the other person has the correct answer (this is just so you can mark the other person as a brainliest)

Hello guys I just wanted to know the answer or this problem, Meredith rented a bike from Bubba's Bike Shack. They charged $2 per hour. Meredith paid $26. Which equation could be used to find h, the number of hours Meredith rented the bike? Thanks for reading, and help me please

Answers

Since they charge $2 per hour, 2 is the variable, and x is the number of hours.

To find the number of hours after paying 26 dollars:
2x = 26

To solve for x: Divide both sides by 2
2x/2 = 26/2
1x = 13
She rented the bike for 13 hours.

A city council organized a marathon race to promote good health. There were 3 times as many female participants as male participants in the marathon. If the total number of participants was 812, how many participants were male

Answers

Answer:

609 males

Step-by-step explanation:

A city council organized a marathon race to promote good health.

Let the number of

Females = x

Males = y

There were 3 times as many female participants as male participants in the marathon.

3x = y

If the total number of participants was 812,

x + y = 812..... Equation 1

We substitute 3x for y in Equation 1

x + 3x = 812

4x = 812

x= 812/4

x = 203 females

3x = y

Solving for y

3(203) = 609 males

The number of males participants = 609

This figure is 1/4 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.

A 4.7 cm

B 7.7 cm

C 10.7 cm

D 18.8 cm

Answers

Answer:

7.7

oof oof oof oof oof oof oof oof oof oof oof

Answer:

10.7

Step-by-step explanation:

22 to 26 as a fraction in simplest form simplest form

Answers

22:26
22/26
11/13
Both divided by 2 as a common denominator.
11 and 13 are both prime numbers

Answer:

"Thus, 11/13 is the simplified fraction for 22/26 by using the GCD or HCF method."

After take GCD or HCF method after that what type of answer you have that's your answer

Elenista made an estimate that the angle below was about 170°.
Why did her estimate not correctly describe the angle
measurement?
HELPP MEEE PLSSS PLSS:(

Answers

Answer:

C. The estimate is too large

My bad, wasn't looking at it carefully. The angle seems to be close to 90° than 180°.

Answer:

i believe the answer would be B

Step-by-step explanation:

There are 5 ways to drive from Town X to Town Y. There are 3 ways to drive from Town Y to Town Z. How many different ways are there to drive from Town X to Town Z, passing through Town Y?

Answers

Answer:

A

Step-by-step explanation:

I took the test

help help me please I'm not getting brain early plus just to get the answer please help ​

Answers

Answer:

Pearl pale hand

Step-by-step explanation:

It’s “these poor rhymes” it doesn’t visualize anything.

please help me with this math

Answers

Answer:

C. Aka  z = -3.

Step-by-step explanation:

Subtract 7 from both sides.

We have:

-3z-4z=21

So:

-7z=21

21/-7 = -3

The answer is C.

Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start with “Original Equation” as the first step.

Answers

1. Original equation
2.Distributive property
3. Add 6x to each side
4. Subtract 2 from each side
5. Divide each side by 11

please help me

The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?​

Answers

Answer:

40 degrees

Step-by-step explanation:

Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40.

If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.

What are Triangle theories?A triangle is the smallest polygon with three sides and three interior angles.Theorem 1: The Sum of Angles property of a triangle states that the sum of the interior angles of a triangle is 180°.Theorem 2: If you lengthen one side of a triangle, the resulting exterior angle is the sum of the two opposite interior angles of the triangle.A exterior angle equals the sum of his two other angles in the triangle, so the sum of the angles in the triangle is 180 degrees. In other words, the other two angles of the triangle (which together make up the exterior angle) must be combined with the third angle to make a 180 degree angle.

40 degrees is the sum of the measures of the corresponding remote interior angles.

Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.

To learn more about triangle theory, refer

brainly.com/question/25055291

#SPJ2

What is the value of 4+(-7)

Answers

i think the answer would be -3

Answer:

-3

Step-by-step explanation:

Please solve it.. I am confused
Question: Find the measurement indicated in each parallelogram

Answers

31.) Answer: 11
32.) Answer: 14
33.) Answer: 30.6
34.) Answer: 16.5

Answer:

31) 11

32) 14

33) 30.6

34) 16.5

Step-by-step explanation:

31) GW is half the length of UW and UW is equal to 22. So, 22/2 = 11

32) VY is half the length of VX and VY is equal to 7. So, 7 x 2 = 14

33) VR is half the length of VX and VR is equal to 15.3. So, 15.3 x 2 = 30.6

34) UH is half the length of FH and FH is equal to 33. So, 33/2 = 16.5

4x + 3y = -26
x-3y =-14

Answers

Answer:

y = 8       x= -16

Step-by-step explanation:

4x+26x = -6y =14

30x = 14

-6y = 14     x = 14- 30

y+= 14-6  

y = 8       x= -16

–65 ≥ –10+ u/ 2
pls help

Answers

Answer:

–65 ≥ –10+ u/ 2

-65+10≥u/2

-55×2≥u

-110≥u

Answer:

-110>or equal to u

hope it's helpful ❤❤❤

THANK YOU❤

Please help me with thisss

Answers

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

What theorem did we prove using similar right triangles.

Answers

Answer:

Pythagoras's theorem

Step-by-step explanation:

In the given drawing, there are three right triangles (two smaller triangles formed inside one right triangle), which are;

1) The smallest right triangle with side lengths 'b', 'f', and 'd'

2) The intermediate right triangle with side lengths 'f', 'a' and 'c - d'

3) The right triangle ΔABC containing the other two with side lengths, 'a', 'b', 'c'

By trigonometric ratio we have;

1/cos(B) = a/(c - d) = c/a

By cross multiplication, we get

a² = c² - c·d

Similarly, we have;

The vertex angle for the small right triangle at C = ∠B

1/sin(B) = b/d = c/b

∴ b² = c·d

Therefore, adding the values of 'a²', and 'b²' together, we get;

a² + b² = c² - c·d + c·d = c²

Therefore;

a² + b² = c² which is Pythagoras's theorem.

Other Questions
does prejudice still exist today. explain The campers at camp sleep-a way voted on a dinner choice for their last night at camp. There were 188 campers who voted on either hot dogs or spaghetti. 3 times as many campers voted for hot dogs as voted for spaghetti. How many campers voted for hot dogs Simplify the expression:3x + 5x + 6x 4 What is one way a writer can create an appeal to authority? O by using statistics to support an argumentO by making connections between problems and solutions O by using images that make the audience experience strong feelings O by using evidence from someone who is an expert in a given area What are two ways selective breeding is helpful in agriculture? A. It can take many generations to get desired traits. B. It can cause animals to inherit two recessive alleles C. It can produce crops that are resistant to pests. D. It can result in animals that can produce more food. Volume is the independent or dependent variable Give very short answers to the following questions:1. What do you know about an office ?2.What does chalani mean?3. What does darta mean?4 How can you say that office is an information centre ? Completa las frases con el pronombre correcto: me, te, le, nos, les. Complete the phrases with the correct indirect pronouns.1. A l no _______ gusta la pizza. 2. A Mara _______ gustan las fiestas.3. A los nios no ______ gusta ir al dentista. 4. A Silvia ______ gusta ir al cine. 5. A nosotros ______ gusta el viaje a Canad. 6. A Carlos _______ gustan los pltanos. 7. A t ______ gusta el pescadoComplete the phrase using the verb (gusta o gustan) y el pronombre (me, te, le, nos, les)1. (a m) _____________ muchsimo las vacaciones en la playa. 2. (a ti) ______________ viajar en tren. 3. (a nosotros) No ____________ nada ir al teatro. 4. (a Ud.) ____________ las montaas. 5. (a ellos) ____________ el zumo de naranja. 6. (a Ramn)____________ el mar. 7. (a m) No ___________ la leche. 8. (a ella) _____________ el bocadillo con quesoWrite 2 sentences( in the box) about what you like and what another person ( one sentence about something you like - could be anything ) and the second sentence about someone else- use the indirect pronouns we learned.___________________________________ ___________________________________ ___________________________________ ___________________________________Match the correct pronouns.- write the pronoun on the space.______(a m) 1. Le______(a t) 2.Me______(a l. Ella, usted) 3. Les______(a nosotros (-as)) 4. Te______(a ellos (-as)) 5. Nos ELA Assignments for the week of February 2/15 - 2/19Day 1:-QuickWrite- You may journal about your day (free write) for three minutes.-Choice board- Select items of your choice from the attached choice board. You must have a total of 10 points per day. Day 2:-QuickWrite- You may journal about your day (free write) for three minutes.-Choice board- Select items of your choice from the attached choice board. You must have a total of 10 points per day.Day 3 :-QuickWrite- You may journal about your day (free write) for three minutes.-Choice board- Select items of your choice from the attached choice board. You must have a total of 10 points per day. Ty'Lil has $220 to spend on a membership to a new gym. The monthly fee is $15 and he must also pay $40 to join. How many months can he afford? One last stop before you head home. You and your friends are worn out, but you cant help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so whats the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. Whats the best way to spend your last few bucks? Two angles of a triangle have measures of 55 and 65.Which could not be a measure of an exterior angle of thetriangle?A. 120B.125C.130D.115 The top walking deck of a ship is 120 ft long. This is only 3/11 of the length of the ship. What is the length of the ship Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,what is his commission? How does diabetes influence your eating If you need more SpadPythagorean Theorem. Lights and More LightsThe residents of watson Avenue are decorating their houses for upcoming holidaysThey have decided to all string lights around the roofs their houses, How many feet oflighting does Sarina need if she wants to string lights along roof?Your work should include:Length of the roof including formulas used (3 points)A description of the Pythagorean Theorem (3 points)Calculations (3 points)Explanations using math terms (3 points)If you need more space to show your problemsolving go to th next slide En el siguiente verso son los prncipes amigos ! cul es el objetivo que califica a "amigos "? cual es la intencin del emisor al llamarlos asi? PLS HELP I REALLY NEED IT RNNNNNN 20 POINTSSSWhich function matches the mapping shown?A) f(x) = 2x B) f(x) = 4x C) f(x) = x4 D) f(x) = x + 4 One of the most effective ways to write descriptively is to incorporate ______. The business of analysis is efficient.TrueFalse