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

If the code for BEAD is DGCF, what is the code for SHARP?

Answers

Answer:

UJCTR

Go up to from the current letter to get the answer i think?

You can try finding the pattern behind the conversion.

The code for SHARP is UJCTR

How to find the pattern behind code conversion?

Well it depends. There are infinite possibilities.

Most of the times, if its like a question from some exam or book etc, then there is certain simple pattern which you can see if focus. Otherwise, there may be too complex, or sometimes too simple, or sometimes moderately complex patterns.

For given case, you can see that the pattern is to take the third letter from the given letter from the English alphabet.

For B it was B - C - D, thus, D

For E it was E - F - G, thus, G

For A it was A - B - C, thus, C

For D it was D - E - F, thus, F

Similarly, we get:

For S it was S - T - U, thus, U

For H it was H - I - J, thus, J

For A it was A - B - C, thus, C

For R it was R - S - T, thus, T

For P it was P - Q - R, thus, R

Thus,

The code for SHARP is UJCTR

Learn more about character coding here:

https://brainly.com/question/17120657

in 2-3 sentences, elaborate on the concept of man being a rational being.

Answers

Answer:

Pls mark brainliest

Step-by-step explanation:

A man is seen to be a rational being because he is very sensible and is capable of making decisons and judgement due to the fact that he thinks intelligiently and also in philosophy a man is viewed to be a curious being because he is very rational and is capable of thinking about the existence and nature.

Change 800% to a decimal

Answers

Answer:

8

Step-by-step explanation:

Answer:800% as a decimal = 8

Remove the percent sign, then divide 800 by 100:

800% → 800 → 800/100 = 8

Help pleaseeeeeeeeeee

Answers

1 - Right triangle
2 - quadrilateral
3 - obtuse triangle
4 - scalene triangle
5 - pentagon

3409/14 with decimal

Answers

Answer:

243.5

Step-by-step explanation:

3409/14 times 7/7

By the way i divided both numerator and denominator by 77 because of gcf

Reduce

487/2

243.5

What is the slope from a graph:​

Answers

Answer:

Slope is 3/4

Step-by-step explanation:

slope is rise over run or y1-y2/x1-x2

in this case (-1-2)/(-4-0) = -3/-4 = 3/4

Answer:; The piont where the line meets up with the squares coner

solve for a a^2+17=42?

Answers

We are given the following equation:

[tex]a^2+17=42[/tex]

Subtract both sides by 17

[tex]a^2=25[/tex]

Take the positive/negative square root of both sides

[tex]a=\pm5[/tex]

This should be your answer. Let me know if you have any questions, thanks!

If log10 x=2, what is the value of X

Answers

Answer:

x=100

Step-by-step explanation:

log10 x=2

10^2=x

100=x

Answer:

C

Step-by-step explanation:

[tex]\log_{10}x=2\\10^2=x\\x=100[/tex]

Hello again for the millionth time, need help on this, help pls, thx.

Answers

I am pretty sure it’s the third one


4. Two pairs of related (x, y) values for a function are (-3, 9) and (-1, 13).
Find the slope and y-intercept, and write the equation of the function.
equation: __
slope: __
y-intercept: __



Answers

Step-by-step explanation:

Find the slope:

m = (13 - 9)/( - 1 + 3) = 4/2 = 2

Find the y-intercept:

9 = 2(-3) + b9 = -6 + bb = 9 + 6b = 15

The equation is:

y = mx + by = 2x + 15
(-3,9)(-1,13)

Slope

m=13-9/-1+3m=4/2m=2

Equation in point slope form

y-9=2(x+3)y-9=2x+6y=2x+15

Y intercept=15

Jim has a bank account balance of $-15.46 as soon as he realizes this he deposit $25.50 in the account what is James bank account balance after the deposit is made

Answers

$10.4 maybe I don't really know

A store sells 3 candy bars for $2 at the checkout stand. They also sell a box containing 16 candy
bars for $10. Which offer leads to the least expensive candy bar?

Answers

Answer:

the 16 candy box

Step-by-step explanation:

Answer:

16 candy bars for $10.

Step-by-step explanation:

This is because the price per candy bar when you buy 16 for $10(.625) is cheaper than that of 3 candy bars for $2(.6666666 and so on).

Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?

Answers

Answer:

11 i think

Step-by-step explanation:

A principal of $2400 is invested at 7.25% Interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

Step-by-step explanation:

70000

If Betty has 5 blue marbles,3 red marbles and 1 yellow marble what is the chance sus is will pick a red marble

Answers

Answer:

33% or 1/3

Step-by-step explanation:

3 RED MARBELS/9 MARBLES=

3/9=

1/3=

33% chance of getting a red marble.

hope this helps, if not see me in the comments

HOPE THIS HELPS, BRAINLIEST PLZZZZ

The angles with measures x and (4x) are complementary angles.

Which is the value of x?

Answers

Answer:

x = 18

Step-by-step explanation:

Complementary means the angles add to 90

x + 4x = 90

5x = 90

5x/5 = 90/5

x = 18

The larger angle is 4*18 = 72

Evaluate using the order of operation 8.4+(13.1-0.6)

Answers

Answer:

20.9

Step-by-step explanation:

13.1 - 0.6 = 12.5

12.5 + 8.4 = 20.9

Help please. I give brainliest. (I accidentally marked this as mathematics its actually history)

Answers

Answer:

A

Step-by-step explanation:

I think because The United States allowed Japan to keep its emperor — Hirohito — after the war. Japan's post-war constitution became official on May 3, 1947, and Japanese citizens elected a new legislature. The U.S. and other allies signed a peace treaty in San Francisco formally ending the war in 1951.

According to Office Of The Historian," The outbreak of the Korean War in 1950 provided SCAP with just the opportunity it needed to address this problem, prompting some occupation officials to suggest that, “Korea came along and saved us.” After the UN entered the Korean War, Japan became the principal supply depot for UN forces. The conflict also placed Japan firmly within the confines of the U.S. defense perimeter in Asia, assuring the Japanese leadership that whatever the state of its military, no real threat would be made against Japanese soil."

Answer: Japan produced supplies for the United States during the Korean War.

A

is (6,-7) a solution to y+3=1/2(x+2)

Answers

My answers are not 100% Valid but here is my answer and response;
Answer: (4,-2)
To get x substitute 0 for y since you’re trying to find x, 0+3=1/2(x+2) add 0 with 3 to get 3 so 3=1/2(x+2) then use distributive property with 1/2 (x•1/2 = x/2) (2•1/2 = 1) so then the equation would look like this 3=x/2+1 subtract one from both side and get 2=x/2 then multiply everything by 2 to get x=4
With y you can substitute 4 or 0 for x to find your answer

Order the numbers in each exercise from least to greatest
-1 2/3, 1.6, -1 4/5

Answers

Answer:

-1 2/3, 1.6, 1 4/5

Step-by-step explanation:

Mr. Barker saved his money for 47 years and had $3,700,028 in the bank. He used his money to go on an adventure and spent $967,300. How much did he have left after his adventure?

Answers

Answer:

The answer is $2,732,728

Step-by-step explanation:

You start subtracting by aligning the numbers by place value. You subtract and get 28 then you have to subtract 0 - 3 which you can’t do and next to it are 2 other 0’s the only number you can carry is 7. You cross out the 7 and put a 6 in its place. The zero next to it becomes a 9. The one next to it also becomes a 9. Then the one on top of the three becomes a 10. You then do 10 - 3. Which equals 7. Then you do 9 - 7 = 2. 9 - 6= 3. You can’t do 6 - 9. so you cross out the 3 make it a 2 and turn the 6 into a 16. 16 - 9 =7. 2 - 0 =2 so then you get. $2,732,728.

A bakery must pay the state 8% sales tax on this week's total sales of $2,050. How much sales tax will the bakery pay to the state for this week?

A. $164.00


B. $164.00


C. $256.25


D. $256.25

Answers

164.00 is your answer

Hope it helps!

Please mark Brainliest if possible I’m just one away, thanks if you can

please help with this one
6. Rewrite each number in exponential notation using 2 as the base. (2 points each)
16= 64=

Answers

Answer:

2^3=2^6

Step-by-step explanation:

well 2×2×2=16

and 2×2×2×2×2×2=64

--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units

Answers

Answer:

where is the equation please put it

Anyone know ?????? I kind of need help rn

Answers

Answer:

2.45 anytime

Step-by-step explanation:

the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45

Answer:

2.45

Step-by-step explanation:

(2.4+2.5) / 2

Jorge is making 6 large salad and 4 small salads and 4 small salads. How many cherry tomatoes does he need ?. Large salad=10 cherry tomatoes. 4 small salads = 6 number of cherry tomatoes.​

Answers

I’m not sure if the scanning came out wrong but here’s 2 answers depending on what the question is;
1) Jorge makes 6 Large Salads and 8 Small Salads
The Large Salads contain 10 Cherry Tomatoes Each so just multiply 6 with 10
6•10=60 Cherry Tomatoes
The Small Salads contain 6 Cherry Tomatoes Each so just multiply 8 with 6
8•6=48 Cherry Tomatoes
Add both of the cherry tomato amounts to get 108 Cherry Tomatoes
Jorge needs 108 Cherry tomatoes to make his Salads.
2) Jorge makes 6 Large Salads and 4 Small Salads
In summary;
6•10=60 (Large Salads)
4•6=24 (Small Salads)
Add both to get the total
60+24=84
Jorge needs 84 Cherry Tomatoes to make his salads.

Determine if the following statement is true or false.

The difference between two negative numbers is always negative.

Answers

Answer:

False

Step-by-step explanation:

Negative and Negative  always equals positive

Negative and positive always equal negative

False, for example (-2)-(-3) is 1

PLZ HURRY IT'S URGENT!!!

What is the measure of < C?


options:


30°



60°



90°



180°

Answers

Answer: [tex]60^{\circ}[/tex]

Step-by-step explanation:

x + 2x + 3x = 180 [angles in a triangle add to 180 degrees]6x = 180 [combine like terms]x = 30 [divide both sides by 6]

So, [tex]\angle C=2(30)=\boxed{60^{\circ}}[/tex]

Simplify, then solve

Answers

Answer:

Where is equation to solve??

Tom earns $650 each week working his full-time job is employer has a 16.5% tax deduction and all monies earned each week calculate the tax deduction paid for that week​

Answers

Answer:

find 16.5% of 650 by turning 16.5 into a decimal.

.16 x 650 = 104

subtract 104 from 650 and your approximate answer will be

$546

Tom paid $ 546 as tax deduction each week.

What is an Equation ?

An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.

It is given that weekly earnings of Tom is $650

Tax deduction is 16.5%

Let the amount of Tax deduction is represented by $x

Then the equation formed is;

x = 16.5% 650

x = 16.5*650/100

x = $ 104

Now, subtract 104 from 650

$546

Therefore Tom paid $ 546 as tax deduction each week.

To know more about Equation;

brainly.com/question/10413253

#SPJ5

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