The sum of two numbers is 17 and their product is 66 what are the two numbers.

Answers

Answer 1

Answer:

11 and 6

Step-by-step explanation:

Let the numbers be X and Y

Then their sum: X+Y=17 equation 1

Product: X×Y=66 equation 2

X+Y=17. X =17-Y

XY=66.

(17-Y)Y=66 -Y²+17Y-66=0

Y=6 or 11

X=17-Y. X=17–6=11 or X=17–11=6

Therefore you can conclude that the numbers are 11&6

Answer 2

Answer:

11 and 6

Step-by-step explanation:

x + y = 17

x × y = 66

First, solve for y

x + y = 17

x + y - x = 17 - x

y = 17 - x

Then substitute y to x × y = 66

x × y = 66

x(17 - x) = 66

17x - [tex]x^{2}[/tex] - 66 = 66 - 66

- [tex]x^{2}[/tex] + 17x - 66 = 0

(- [tex]x^{2}[/tex] + 17x - 66) = 0

(-x + 6)(x - 11) = 0

-x + 6 = 0

-x + x +6 = 0 + x

6 = x or x = 6

x - 11 = 0

x - 11 +11 = 0 + 11

x = 11

Then the numbers are 11 and 6


Related Questions

An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $2000 and his stock in Company B was worth $4240.
The stock in Company A has increased 1% since last year and the stock in Company B
has increased 5%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Answer:
Submit Answer
acer

Answers

Answer:

Total percent: 3.7%

Step-by-step explanation:

(2000 x 0.01) + (4240 x 0.05) = $232

X/100 = 232/6240

= 23200/6240 = 3.7%

Hi! ❤️ , im looking for some (accurate) help here.

ill give brainliest if able to.

Answers

Answer:

A

Step-by-step explanation:

70000 is 100 times greater than 700  

Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm

Answers

1.83 m would convert to 183 cm. If George is 9 cm shorter than her, 183 cm - 9 cm is 174 cm.

Are the triangles congruent! (Help)

Answers

No
For the two triangles to be congruent their corresponding angles should be equal.
Here they have different angles i.e. their corresponding angels are not equal
therefore they are not congruent

Help please! Mathematics as a teen isn’t my strong suit
Also, number 15) has4 columns and 6 rows

Answers

Answer:

ang masasabi ko lang thans sa points

Step-by-step explanation:

salamat sa pointsmore points to come50 points ulit ha

Willie stands on one side of a cart and pushes with a force of 100 Newtons. Jenny stands on the others side of a filing cabinet and pushes with a force of 100 Newtons. If Willie wants to help Jenny demonstrate balanced forces, what does Willie need to do?

Answers

Willie needs to keep same force acting by him on the cart inorder to balance the force.

Let's check how?

F_1=100NF_2=-100N

[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]

.Hence verified

the independent and dependent variables.
1) You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times
during your trip.
A) does not describe a function
B) Independent variable, distance traveled; dependent variable, time
C) Independent variable, time; dependent variable, distance traveled
actont Writon statement that describes how one

Answers

Answer:

C) Independent variable, time; dependent variable, distance traveled

Explanation:

An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this).

Correct answer  is C :  Independent variable, time; dependent variable, distance traveled actont Writon statement that describes how one.

What is Independent variable?

The independent variable exists as the variable being regulated in the problem, and the dependent variable exists as the variable that varies because of this control.

It exists a variable that stands alone and isn't altered by the other variables you exist trying to measure.

An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this)

To learn more about Independent variable refer to:

https://brainly.com/question/82796

#SPJ2

Solve the inequality.
2(x+4) < 2 - x

Answers

Answer:

x < -2

Step-by-step explanation:

2(x+4)<2-x

2x+8<2-x

+x        +x

3x+8<2

   -8  -8

3x<-6

x<-2    Divide both sides by 3

Hope this helps!

Answer:

2x+8<2-x

8-2<-x-2x

-3x>6

x>6/3

x<2

Step-by-step explanation:

I think it's smtg like this

The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.

Answers

Answer:

Step-by-step explanation:

A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

What is Ratio?

Ratio is a concept in mathematics used to compare two things.

It is denoted by a : b.

A ratio can be represented as fractions also like a/b.

In the question, it is given that the ratio of boys to girls is 3 to 4.

A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4  

Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

To learn more about Ratio, click:

https://brainly.com/question/13419413

#SPJ2

Each square below represents one whole …. What percent is represented by the shaded area?

Answers

Answer:

3/4

Step-by-step explanation:

because there are 4 parts and only three are shaded so 3/4

3/4 or .75 or 75%

Identify the given quadrilateral
Can anyone tell me if these are correct?

Answers

28 might be a parallelogram

The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.

Answers

Answer:

116°

Step-by-step explanation:

(Angle sum property of a triangle = 180°)

angle A + angle C + angle ABC = 180°

66° + 50° + angle BAC = 180°

116° + angle ABC = 180°

angle ABC = 180° - 116°

angle ABC = 64°

angle ABD + angle ABC = 180°

angle ABD + 64° = 180°

angle ABD = 180° - 64°

angle ABD = 116°

So, the measure of the unknown angle is 116°

0.5 ÷ 10.2 If you solve this, can you show the steps of this equation?​

Answers

Answer:

0.5/ 10.2

Well its basically

Well first you gotta make sure the 10.2 is a whole number in order to divide

so we can multiply by 10

that turns it into 102

Now what we do do 10.2 we do to 0.5 to make it equal which makes0.5*10=5

Now its easier so its 5/102

Now we just divide normally

*assuming its rounded to the nearest hundredths

0.05

12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol​

Answers

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

5 lb 6 oz = __________ oz
Explain yourself

Answers

Answer:

86 oz

Step-by-step explanation:

1 lb = 16 oz

5 lb * 16 oz = 80 oz

80 oz + 6 oz = 86 oz

Three friends do
Word together for 5 days. The first friend does it alone for 15days. The second friend does it alone for 12 days.
many days does the third do it alone for?

Answers

Answer:

I think 9 days

Pls mark as brainliest answer if it helps you

4

in one month we have 31 days so

31-15-12=4

hope it helps

A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?​

Answers

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ6

If a 32 ft. tall tree casts an 8 ft. shadow , how long of a shadow dc 6 ft. tall man have?

Answers

Answer:

1.5ft

Step-by-step explanation:

32/8=4

32/4=8

6/4=1.5

What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.

Answers

Answer:

Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).

A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]

Given the following system of equations:

[tex]y=-2x-64[/tex]  ...equation 1.

[tex]x-y=-36[/tex]   ...equation 2.

To find a solution to the given system of equations, we would use the substitution method:

First of all, we would make x the subject of formula in equation 2.

[tex]x=-36+y[/tex]  ...equation 3.

Substituting eqn. 3 into eqn. 1, we have:

[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]

For the value of x:

[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]

Read more: https://brainly.com/question/14413983

Evaluate the expression -2​

Answers

Answer:  2x for x=3: 2(3) = 6.

Step-by-step explanation:

Combining like terms. Solve for b.

15b + 10b = 50​

Answers

Answer:

b=2

Step-by-step explanation:

15b+10b=50

25b=50

b=2

Answer:

B is 2 because 10x2=20 and 15x2=30

add those 2 up and get 50

Step-by-step explanation:

Give brainly pls(the crown)

Which equation has the solution x = 3?


Select each correct answer.


2x + 4 = 10

9−3x=0

3x + 1 = 9

9x−1=4

x3+5=6

5x−7=1 giving 50 pointss so hurry

Answers

Answer:

A and B

Step-by-step explanation:

A: 2x3=6 6+4=10 so correct

B: 9-9=0 so correct

Answer:

2x+4=10

Step-by-step explanation:

2x=10-4=

2x=6

x=6÷2=

3

Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?

Answers

Answer:

3

Step-by-step explanation: because 15 divided by 5 equals 3

Which point is a solution to the system?

Answers

Answer:

d

Step-by-step explanation:

Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK

Answers

Answer:

the dot would be shaded in and from -6 go to the left

Step-by-step explanation:

7÷5=2. Prove It




Based on Critical Thinking and Reasoning. Not normal mathematics.

Answers

the answer is 1.4 not 2

What is the slope of the line that
passes through the points (-1, 3)
and (2, 10)?

Answers

Answer:

D  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

For find the slope of whatever line we use the next formula:

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So in our occasion we have:

[tex]y_2 = 10 \quad \text{and} \quad y_1 = 3\\x_2 = 2 \quad \text{and} \quad x_1 = -1[/tex]

Replacing in the equation:

[tex]\frac{10 - 3}{2 - (-1)} = \frac{7}{3}[/tex]

So the answer is [tex]\frac{7}{3}[/tex]

Original price of shorts $53.95 Discount 30% Tax 4.5 percent %

Answers

Answer:

$39.50 is the final payment.

Step-by-step explanation:

0.3 x 53.95 = 16.185

53.95 - 16.185

= 37.765

0.045 x 37.765 = 1.699425 + 37.765

= 39.464425 and round

what is the value of 2​

Answers

Step-by-step explanation:

???

one more than 1, one less than 3

Answer:

the value of 2 is 1+1=2

Step-by-step explanation:

gamsahamnida have a great day ahead

which matrix multiplication is defined?​

Answers

D is a matrix multiplication that is defined
Other Questions
The midpoint of DF is E(-5, 4). If the coordinates of Fare (-4, 2), What are the coordinates of D? Can someone please help me I will mark u brilliant an important feature of a job order cost system is that each job I need help on Tales mathemathics below on image A listing of all possible returns on an investment, with a chance of occurrence assigned to each return is known as _____. suppose A=3i-2j and B=-i-4j three vectors in xy plane A+B-C =0 what is the answer Ci How do you find the quotient in the equation 8304 The demand for cosmetics suddenly increases in a certain region without any growth in supply. Economists predict that the increased demandwill have three effects. Arrange those three effects in the order in which they will occur.More producers will enter the market.The prices of cosmetics will decrease.The prices of cosmetics will increase 15. True or False: The topic of a novel is not the same as the theme. TrueFalse I need help on my algebra test. Im reaching out because Im really stuck and have no teachers available. Can you help me solve for y? What are the features that allow you to identify an ionic compound based on its chemical formula Please slove this i need answer fast A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?A)30 in3B)60 in3C)90 in3EliminateD)180 in3 !!!!!!!!!!!PLEASE ONLY ANWSER NUMBER 4!!!!!!!!!!!!!!!!! ( 20 points )Three shipping companies want to compare the mean numbers of deliveries their drivers complete in a day.The first two shipping companies provided their data from a sample of drivers in a table.Company C showed its data in a dot plot.Answer the questions to compare the mean number of deliveries for the three companies.1. How many drivers did company C use in its sample?2. What is the MAD for company C's data? Show your work.3. Which company had the greatest mean number of deliveries?4. Compare the means for companies A and B. By how many times the MAD do their means differ? Show your work. Ravi Makes lemonade by mixing lemon juice and water for every 1 cup of lemon juice he uses 4 cups of water. Monetary policy-makers can help smooth out the fluctuations of the business cycle by _____.examining banksreacting to current trendsimplementing inside lagspracticing good timing 6+7+8+...+(n+5) find the sum. A nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care? For internal record keeping, most companies carry their inventory using the _____ basis. Multiple choice question. LIFO FIFO average cost specific identification Value: 1Which of the following statements about cleaning and disinfecting surfaces in a residentroom are true?Please select all that apply.[mark all correct answers]a. Youshouldcleanfrom thedirtiestarea tothecleanestareab.Youshouldcleanfrom hareaslow arc. Youshoulfollo