find two numbers that have the given product and the given sum 36,16

Answers

Answer 1

Answer:

-2 and 18 is the answer

Step-by-step explanation:

Answer 2

Answer:

It differs by 4

16 - 12  =  4

 4  =  4

Their product is 192

(16) (12)  =  192

192  =  192

Step-by-step explanation: The sum of two numbers is 60 and their product is 576. Find the numbers. Let x and y are the two consecutive integers

The sum of two numbers is 60

x + y  =  60  ---- (1)

Product of two numbers  =  576

xy  =  576

y  =  576/x  ----- (2)

Now we apply the value of x in (1)

x + (576/x)  =  60

(x2 + 576) / x  =  60  

x2 + 576  =  60x

x2 - 60x + 576  =  0

(x - 12) (x - 48)  =  0

x - 12  =  0

x  =  12

If x  =  12

y  =  576 / 12

y  =  48

x - 48  =  0

x  =  48

If x  =  48

y  =  576 / 48

y  =  12

So the required integers are 18 and The sum of two numbers is 60

48 + 18  =  60

60  =  60

The product is 576

48 (18)  =  576

576  =  57648.

Two positive numbers differ by 4 and their product is 192. Find the numbers.

Let x and y be two positive numbers

It differs by 4

x - y  =  4

x  =  4 + y   --- (1)

Their product is 192

xy  =  192

y  =  192/x --- (2)

By applying the value of y in (1), we get

x  =  4 + (192/x)

x  =  (4x + 192)/x

x2  =  4x + 192

x2 - 4 x - 192  =  0

(x - 16) (x + 12)  =  0

x - 16  =  0

x  =  16

x + 12  =  0

x  =  -12

If x  =  16

Then,

y  =  192/16

y  =  12

Since it is positive number we have to choose 16 for x.


Related Questions

Identify the statement that best describes the effect of Thomas Paine's Common Sense pamphlets on colonial feelings towards the English King.

Answers

Answer:

It changed the type of feelings that the colonists had about their King.

Step-by-step explanation:

Thomas paines common sense pamphlets was a very bold move because at that time many people didn't have a lot of say in government subjects

The effect of it was that it promoted the equality message to the colonists and as such they started thinking more about equality among themselves.

Thus, this changed the type of feelings that the colonists had about their King.

What is 7 divided by 4/5 and 3 1/2 divided bye by 3/4

Answers

4/5 = 0.8

7 / 0.8 = 8.75

3 1/2 = 1.5
3/4 = 0.75

1.5 / 0.75 = 2

7 / 4/5 = 8.75 or 8 3/4

3 1/2 / 3/4 = 4 2/3

---

hope it helps

Find the zeroes of the function f(x).
f(x)=(x–3)(x+4)

Answers

Answer:Set \displaystyle f\left(x\right)=0f(x)=0.

Step-by-step explanation:

Set \displaystyle f\left(x\right)=0f(x)=0.

If the polynomial function is not given in factored form:

Factor out any common monomial factors.

Factor any factorable binomials or trinomials.

Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.

Phil left an estate valued at 140,000. In His will, he specified that his wife will get 25% more of his estate than his daughter. How much will his wife recieve?

Answers

Answer:

77,777.78

Step-by-step explanation:

The computation of the amount that would be received by his wife is shown below:

Let us assume the daughter would received x

So his wife would received 1.25x

The total estate value is 140,000

Now the equations would be

140,000 = x + 1.25x

140,000 = 2.25x

x = 62,222.22

So his wife would received

= 62,222.22 × 1.25

= 77,777.78


The cost of grapes was $0.75 a pound. Dan bought 4.6 pounds.

Answers

Answer:

$3.45

Step-by-step explanation:

cost of grapes x quantity

Answer:

8.20

Step-by-step explanation:

4x0.75=3

3+4=7

0.6=60%

60% of 0.75= 0.45

0.75+0.45=1.20

7+1.20=8.20

1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment​

Answers

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3

15.. if that question is typed out correctly

I know to do it but I’m confused. Someone please help.

Answers

Answer:

a: 1

b: 13

Step-by-step explanation:

a: -7 + 6 = -1. distance from zero makes that positive

b: -7 is changed to 7, 7 + 6 = 13

It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same job. How long would it take if they worked together?

Answers

Answer: [tex]\frac{12}{7}\ \text{hours}[/tex]

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes [tex]\frac{1}{4}[/tex] part of work in 1 hour

Old mail carrier takes 3 hours for delivery  i.e.

mail carrier completes [tex]\frac{1}{3}[/tex]  part of work in 1 hour

If they work together, they complete the work in x hours i.e.

[tex]\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}[/tex]

find each measure plz help

Answers

Answer:

m∠QRS = 52°

Step-by-step explanation:

From the given figure,

In right triangles ΔRQT and ΔRST,

QT = TS = 7.5 units [Given]

RT ≅ RT [Reflexive property]

ΔRQT ≅ ΔRST [By HL theorem of congruence]

Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]

m(∠QRS) = 2m(∠QRT)

               = 2×(26°)

               = 52°

We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent

Answers

Answer:

56 cent per ft²

Step-by-step explanation:

Wall dimension = 35 feets * 21.5 feets

Total cost of paint used = 421.40

Area of wall = Area of rectangle = Length * width

Area of wall = 35 feets * 21.5 feets

Area of wall = 752.5 ft²

Cost of paint per square feet:

Total coast of paint / Area of wall

$421.40 / 752.5 ft²

= $0.56 per ft²

= 0.56 * 100 = 56

Please help.
Algebra.

Answers

Answer:

4) C

5) D

Step-by-step explanation:

4) Solving by substitution means you will try to get one of the variables isolated for one of the equations (y=_____), then plug that in to the other equation. C is the best answer choice for a first step in isolating a variable

5) For these kinds of questions it is best to convert the equations to be in the same form (y=mx+b or Ax+By=C). You should get y=3x+5 for both equations, meaning they are the same equations, therefore infinite solutions exist

In the figure below, ∠HFG≈HKJ and ∠HF≈HK

Using the information provided, select the triangle congruence criterion that can BEST be used to prove that
ΔHFG≈ΔHKJ.

A. angle-angle-side (AAS)
B. angle-side-angle (ASA)
C. side-side-angle (SSA)
D. side-angle-side (SAS)

Answers

Answer:

D

Step-by-step explanation:

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔHFG and ΔHKJ, then the condition is given as,

∠HFG = ∠HKJ          (Given)

HF = HK                    (Given)

∠FHG = ∠JHK          (Vertically opposite angles)

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

The triangles are similar by the AA similarity postulate. Find the value of x

Answers

Answer:

2.5

Step-by-step explanation:

We know that they are similar and that the length of the long side is 3 + 3, which is 6. 6 = 3 times 2, meaning that all values in the big triangle are double the little triangle. That means that 2x = 5, meaning that x = 2.5.

The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer

Answers

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

1. Find the mean, median, and mode of each set of numbers.
a) 13 kg, 71 kg, 95 kg, 62 kg, 29 kg, 25 kg, 31 kg, 40 kg

Answers

Mean is 45.75

add them up and divide by the number of numbers there are

There is no mode

that means most occurring

Median is 35.5

add them up Least to greatest the one or two in the middle take the two add them and divide by 2

Dyami lives x miles from the school. Karla lives 2/3 further than that from the school.

Answers

Answer:

Where is the schools coordinates subtract two thirds from whatever the schools coordinates are and you will have your answer for Dyami

Step-by-step explanation:

Answer:

it's true

Step-by-step explanation:

You are not gaving the exact question


A high school play is sold tickets to their performance and wanted to see how many tickets were adults (x) and how many were students (y). There were 50 more adult tickets sold compared to student tickets. Adult tickets were $5, student tickets were $2, and they collected a total of $950. Write 2 equations and solve this system.

Answers

Answer:

70

Step-by-step explanation:

The equation are x = y + 50  and 5x + 2y = 950

Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.

Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:

x = y + 50 (1)

Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:

5x + 2y = 950     (2)

5(y + 50) + 2y = 950

y = 100

x = 100 + 50

x = 150

Solving equations 1 and 2 simultaneously gives y = 100 and x = 150

Therefore they was 150 adult tickets and 100 student tickets

Find more at: https://brainly.com/question/15165519

How much power is being used when the amount of work
is 1,987 J and it happens over 2 hours?

Answers

Answer:

power = work/ time

2hrs = 60×2 seconds = 120s

power = 1987/120

= 16.5 watt

1-What is 30% of 45?
2-What is 5%of 55.2

Answers

Answer:

13.5 and 2.76

Step-by-step explanation:

*WILL GIVE BRAINLIEST* Identify the model in the data below




Question 6 options:


A. 9



B. 7



C. 2



D. 4

Answers

Answer:

I don't know what you're asking but if you're asking what the mode is then it's 2, or your mean is 5

Step-by-step explanation:

Answer:

Model is Sam..

so 9 is correct answer..

by the way option A is correct

Can someone HELPPPPPP?!??!?!?

Answers

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Yes d is the correct answer

A school plans to build a swimming pool that has an area of 96 square meters. The school wants the pool to be more than 9 meters long. They also want the pool to be able to have at least four 2 meter wide lanes. If all the sides of the pool are whole meter lengths, what are the dimensions of the pool?

Answers

Answer:

If the pool has to have the length to be greater than 9 and the width to at least be 8 meters wide then it has to have dimensions of 12x8.

Hope this helps!

Changes in the dimensions of the shape do not effect the area of the shape. True or False

Answers

Answer:

I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False

hope this helps

Step-by-step explanation:

The statement is false because the area could be changed if the dimensions are changed.

How to find the area of a region?

Supposing that there is no direct formula available for deriving the area,

we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The statement is given that 'Changes in the dimensions of the shape do not affect the area of the shape'.

The statement is false because the area could be changed if the dimensions are changed.

Learn more about area here:

https://brainly.com/question/13004063

#SPJ2

A cone with diameter 20 yd and a height of 20
yd.

Answers

What would you like to know? The total surface area? The lateral surface area? The volume, perhaps? The radius?

Answer:

Cone volume 8,377.580410 cm^3

Step-by-step explanation:

What is 3 divided by 4?

Answers

Answer:

3/4 is 75/100 or 0.75

Step-by-step explanation:

Please help me with 1 to 5 and please graph all to 1 to 5 in a note book and show me how you get the answers from 1 to 5

Answers

Answer:

Download the app Photomath

Find the solution to the equation.

n + 13 = 52

Answers

Answer:

N = 39

Step-by-step explanation:

N + 13 = 52

-13. -13

N = 39

Answer:

n = 39

Step-by-step explanation:

To find what n equals, I want to get it alone on one side of the equation.

To do this, I move 13 to the right side of the equation by subtracting 13 from both sides.

13-13=0 so n is the only value on the left side

52-13=39.

You are now left with n = 39

To check that this is right, add 13 to 39. It equals 52, so you know the answer you found is correct.

HELLLP MEEEE PLEASE FIND THE HEIGHT

Answers

Answer:

The correct answer is 5 units

the height is 4 because the height is the dashed line inside of the triangle

how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)

Answers

1=6

x=42

cross multiply

x=7

Please mark brainlist

You can buy 7 tickets like the guy above said

Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?
What is the value of the car now?

Answers

So basically find 77% of the 22000 and then subtract that answer from 22000
Welcome
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