he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?

Answers

Answer 1

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36


Related Questions

is this correct? if not please help

Answers

Answer:

The correct answer is [tex]2 *10^3 ; 2,000[/tex]

Picture to text form: 2 x 10^3 ; 2000

Step-by-step explanation:

The answer you chose is incorrect.

Answer: It would be 2* 10^3; 2000

Step-by-step explanation:

Divide the total number of students in the state by the number of students in the school.

806240 / 400 = 2015.6

The closest number would be 2000, written as 2* 10^3.

Joe has $180 in his bank account he wants to buy a new gaming system for $250 in two weeks his parents have offered to lend him money if he needs it he gets $20 a week for a allowance will he have enough money at the end of two weeks to make the purchase of his own if not how much will he have to borrow from his parents explain

Answers

Answer:

yes he will

Step-by-step explanation:

Hence, if his parents giving him $[tex]35[/tex] per week then he can purchase his game system.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Joe has $[tex]180[/tex] in his bank account he wants to buy a new gaming system for $[tex]250[/tex] in two weeks his parents have offered to lend him money if he needs it he gets $[tex]20[/tex] a week for a allowance

So,

His account saving is $[tex]180[/tex].

He wants to purchase a game system which costs $[tex]250[/tex].

His parents giving $[tex]20[/tex] per week. So iin two weeks it is [tex]20(2)=40[/tex]$.

Then , the total savings he had [tex]180+40=220[/tex]$

So he needs [tex]30[/tex]$ more to purchas his game system

If his parents giving him $[tex]35[/tex] per week then in two weeks it would be [tex]35(2)=70[/tex]$.

Then his total savings are

[tex]180+70=250[/tex]$.

Hence, if his parents giving him $[tex]35[/tex] per week then he can purchase his game system.

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5y x 6y= you can get 40 points

Answers

Answer:

5y × 6y = 30y^2

Step-by-step explanation:

All you're doing is multiplying the coefficients 5 and 6, to get 30, and any variable multiplied by another variable will give you that variable, squared.

Friendly fun fact: When you give points, we are only earning half of that. (Just thought you'd like to know.)

Hope this helped :)

Find the intersection point of the straight line equations y = 2x-13 and y = -5x+1​

Answers

Answer:

(2,-9)

Step-by-step explanation:

Equation Form:

x = 2  

y = − 9

thanksssssssssssssssssssssssss!

Answers

Answer:

yorrrrrrrrr wwwweeeeeeellllllllccccccccooooooommmmmmmmmeeeeeeeeeeee

Step-by-step explanation:

tyyg m8

Noooooooooooo pppppproblem

Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
(0 미미
Х
?

Answers

Answer:

[tex]a_{16} = 121[/tex].

Step-by-step explanation:

To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].

To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].

In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].

Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].

In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:

[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].

Fred's family wants to switch cell phone plans. Hot Spot Mobile is offering a one-time discount of $50 for families that use multiple phones with their service. Fred's family uses 5 phones, and the salesperson said the first month's payment, which includes the discount and the regular monthly rate for each phone, will be $62.25. What is the regular monthly rate for each phone?

Answers

The regular monthly rate for each phone is $22.45.

What is a monthly rate?

The monthly rate refers to the amount of money paid every month due to a service or debt.

How to calculate the monthly rate for these cellphones?

The monthly rate can be calculated using the following formula.

$62.25 + $50 (discount) / 5 (number of cellphones)

This is because the family will pay a total of $62.25 for the 5 cellphones including the discount for the first month. Let's now solve this problem:

$112.25/5 = $22.45

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Estimate 53.8-27.6. circle the compatible numbers to substitute


54-28 53-28 55-27 55-25

Answers

Answer:

54 - 28

Hope this helps :)

The compatible numbers to substitute is 54 - 28

How to determine the compatible numbers to substitute

From the question, we have the following parameters that can be used in our computation:

Estimate 53.8 - 27.6

This means that we approximate the numbers in the expression

using the above as a guide, we have the following:

53.8 = 54

27.6 = 28

Hence, the compatible numbers to substitute is 54 - 28

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What is the sum of the first 50 terms in the sequence 4,-4,4,-4,4...?​

Answers

Answer:

0

Step-by-step explanation:

If there is an even number of 4 and -4s. They should all cancel each other out and equal 0.

2 1/4 - 2 1/4 x (3/5 + 1 2/3) divided by 4 1/5

Answers

Answer:

2 1/4 - ((2 1/4 * ((3 / 5) + 1 2/3)) / 4 1/5) = 1.03571429

Step-by-step explanation:

HELP LAST ATTEMPT MARKING AS BRAINLIEST

Answers

The answer would be x=24. First set equal to 180°, then combine like terms and solve.

Evaluate.

(2a−13)÷b/15 when a=−2/5 and b=−8.25

Enter your answer as a simplified mixed number in the box

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is  [tex]25\frac{75}{825}[/tex]

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(2a - 13) ÷ b/15

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25.

= (2a - 13) ÷ b/15

= (2 x (-2/5) - 13) ÷ -8.25 / 15

= (-4/5 - 13 ) ÷ -8.25 / 15

= (-4 - 65) / 5 ÷ -8.25 / 15

= -69/5 ÷ -8.25/15

= -69/5 x -15/8.25

= 69 x 3 / 8.25

= 207 / 8.25

= 20700/825

We will write this in a mixed fraction.

= [tex]25\frac{75}{825}[/tex]

Thus,

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is  [tex]25\frac{75}{825}[/tex]

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Solve the inequality and graph the solution on the line provided. -20+5x >5

Answers

Answer:

x>5

Step-by-step explanation:

-20+5x>5

5x>25

X>5

X=

--l----l----l----l----l----l----l----l----l

 6   7    8   9   10  11   12 ....   ∞

Mrs. O'Brian purchased 3 gallons of
strawberries for $1.00 per pint. How
much did the strawberries cost?

Answers

Answer:

$24

Step-by-step explanation:

3 gallons = 24 US pints

24 * $1 = $24

a medical terminology course has 150 total students. On the first exam 96 students passed. what is the percentage of students that did not pass the first terminology exam?​

Answers

64% percent of students have not passed the first terminology exam.

96/150 = 16/25

16/25 = 64%

bc if b = -3 1/8 and c = -4/5

Answers

Answer:

-3 37/40

Step-by-step explanation:

solve pls brainliest!

Answers

Answer:

m - 19 = 58

Step-by-step explanation:

Knowing that the word "difference" relates to subtraction, you should know that the equation involves a minus sign.

The problem also tells us that 58 is the difference. Basically, the word difference means the answer to a subtraction problem. So 58 is the answer to this equation.

However, we are not done yet. It says to use "m" to represent Matt's age. Thus, we can write our equation as:

m - 19 = 58.

The variable "m" goes first instead of 19 because the answer would no longer be 58. For instance, let's say m is 18, 19-18 is equal to 1...not 58.

Therefore, the correct equation is:

m - 19 = 58

Hope this helps!! :D

Multiply
8.12.30.3

Please help me

Answers

Answer:

8640

Step-by-step explanation:

What is the probability

Answers

The answer is yes but not if so

Pls help I’ll brainlest

Answers

50 x 5 = 250
7.50 x5= 37.50
costs 287.50

Answer:

PLS GIVE BRAINLIEST

Step-by-step explanation:

[tex]50 + 7.50x[/tex]

1. make an equation where x represents hours

[tex]50 + 7.50(5)[/tex]

2. substitute 5 for x

[tex]50 + 37.5[/tex]

3. multiply 7.50 by 5

[tex]87.5[/tex]

4. add 50 and 37.5 to get 87.5

10) A community college student interviews everyone in a particular statistics class to
determine the percentage of students that own a car.
A) convenience B) random
C) cluster
D) systematic
E) stratified

Answers

The answer is D) systematic
The answer is d got it right


help! will mark branliest

Answers

Answer:

B is the answer hope you get it right

Find the surface area and volume of the solid. Round your answers to the nearest hundredth.​

Answers

Answer:

Surface area = 240.34 square units

Volume = 253.03 cubic units

Rectangular prism

Step-by-step explanation:

2(6.8 * 6.1) + 2(6.1 * 6.1) + 2(61 * 6.8) =

82.96 + 74.42 + 82.96 = 240.34

Volume

(6.8 )(6.1)(6.1) = 253.03

Use the zeros and the labeled point to write the quadratic function
represented by the graph.
у
Х
-5
5
(3-6)
- 10

Answers

Answer:

y = 2x2 - 10x + 12

Step-by-step explanation:

The quadratic function represented by the graph is y= 2x² - 10x + 12.

What is the quadratic function represented by the graph?

The task's requirements dictate that the quadratic function represented by the graph be identified.

As the roots of the quadratic function are p and q, the quadratic function can be described as y = a (x - p) (x - q), where a is a constant.

As a result, since the roots are 2 and 3, we obtain;

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

So, we must substitute the values defined by the provided point, (1, 4), as shown below in order to find the value of the constant, a.

4 = a (1 -2) (1 -3)

4 = a(-1) (-2)

4 = 2a

a = 2.

So, the required equation is y = 2 (x - 2) (x - 3).

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Translate this sentence into an equation.
63 is the sum of 15 and Gail's score.
Use the variable g to represent Gail's score.

Answers

Answer:

63 = 15 + g

Step-by-step explanation:

63 is the sum of 15 and Gail's score:

63 = 15 + g

is the sum of 0.46+0.25 less than or greater than one? explain

Answers

Answer:

0.71

Less than one

Step-by-step explanation:

For the number to be more than one, the tenth would have to equal more than ten. For the hundredth, it would have to be more than 100.

-kiniwih426

0.71

Less than one because you look at the digits in the tenths/ one hundreds place.

Find the missing length indicated

Answers

Step-by-step explanation:

10)

again, drawing the height into a right triangle creates 3 right triangles : the original one, and the 2 on both sides of the height.

all these 3 triangles are similar to each other (the angles must be the same).

therefore the ratio of 2 sides in one triangle must be the same as the ratio of the corresponding 2 sides in the other triangles.

so,

x/36 = 64/x

x² = 64×36

x = sqrt(64×36) = 8×6 = 48

11)

same principle.

x/36 = 100/x

x² = 100×36

x = sqrt(100×36) = 10×6 = 60

12)

same as 11)

x/9 = (16+9)/x = 25/x

x² = 25×9

x = sqrt(25×9) = 5×3 = 15

Find the area of each triangle

Answers

Answer:

a.20,b.31.5

Step-by-step explanation:

h x b then Divide by 2

1:50000
What distance is represented by Tem?
18cm
D
E
6.25cm
X
B
8cm
Jane Nane serigre ines
OP para
с
Net Groen
6cm
P
a
M
A
Som
N
Gom
15cm

Answers

Answer:

explain better

Step-by-step explanation:

I do not understand

It is 8383838

I need help I don’t understand

Answers

Answer: not much help i can barley see the paper

Step-by-step explanation:

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