sum of 12.5 and product of 36
I mean 2 variables add up to 12.5
and multiply to 12.5
(x+y)=12.5
X ×Y=36
What is value of x and y​

Answers

Answer 1

Answer:

(4.5, 8) and (8, 4.5)

Step-by-step explanation:

Given the equations

(x+y)=12.5 ... 1

X ×Y=36 .... 2

From 2, Y = 36/X

Substitute into 1

x+ 36/x = 12.5

x^2 + 36 = 12.5x

x^2 - 12.5x + 36 = 0

10x^2 - 125x + 360 = 0

2x^2 - 25x + 72 = 0

Factorize

2x^2 - 16x - 9x + 72 = 0

2x(x-8)-9(x-8) = 0

2x-9 = 0 and x-8 = 0

x = 9/2 and x = 8

when x = 9/2

Y = 36/(9/2)

Y = 36 * 2/9

Y = 8

When x = 8

Y = 36/X

Y = 36/8

Y =  4.5

Hence the solutions are (4.5, 8) and (8, 4.5)


Related Questions

EASY!!!
9 × 3 × (−2) + (−36) ÷ 12 − 1

Answers

the answer is is: -58
Answer: -8.5

Steps:
P - parenthesis
E - exponents
M - multiply and dividing from left to right.
D - multiplying and dividing from left to right.
A - adding and subtracting from left to right.
S - adding and subtracting from left to right.

9 * 3 * (-2) + (-36) / 12 -1
27 * (-2) + (-36) / 12 - 1
-54 + (-36) / 12 - 1
-90 /12 - 1
-7.5 - 1
-8.5

A restaurant charged you $50 for the meal. You pay an 8% sales tax on the meal. How much was the tax?

A. $40.00

B. $4.00

C. $0.40

D $54.00

Answers

Answer:

The answer is B.4.00

I believe that the answer is B. $4.00

Jordan is saving to buy a computer that costs $425. So far she has saved $125, and she adds $20 to her savings each week. How many weeks must she save to be able to afford the computer?

Answers

Answer:

15 more weeks

Step-by-step explanation:

425 - 125 (what shes already saved)

300 divided by 20 (amount shes saving each week)

Result is 15, so 15 more weeks.

Hope this helped :)

If you mean how many weeks total, 125 according to the 20 dollars a week would bring it 22 weeks i think.. since the answer answer is 21.2 weeks exactly when you divide 425 by 20.

Michelle sells umbrellas. 2 9 of her umbrellas are blue, the rest are red. 5 11 of the red umbrellas have plastic covers. What fraction of the Michelle's red umbrellas that do not have plastic covers?

Answers

Answer: 14/33

Step-by-step explanation:

Since 2/9 of the umbrella are blue, the fraction for red umbrellas will be:

= 1 - 2/9

= 7/9

Since 5/11 of the red umbrellas have plastic covers. The fraction for those without plastic covers will be:

= 1 - 5/11

= 6/11

Therefore, the fraction of Michelle's red umbrellas that do not have plastic covers will be:

= 6/11 × 7/9

= 42/99

= 14/33

the last parttttttttt

Answers

Answer:

Step-by-step explanation:

35x2^10

Answer:

35,840

Step-by-step explanation:

(7 · 2^5) · (5 · 2^5) = (7 · 32) · (5 · 32) = 224 · 160 = 35,840

HELPP PLEASE!!!!!!!!

Answers

Answer:

51.0feet

Step-by-step explanation:

To get the length of the given diagonal, we will use pythagoras theorem as shown;

First we need to get the diagonal of the  base;

d² = 40²+30²

d² = 1600+900

d² = 2500

d = √2500

d = 50ft

The diagonal of the base is 50ft

Get the required diagonal

Let the required diagonal be x

x² = 10²+50²

x² = 100+2500

x² = 2600

x = √2600

x = 50.99feet

Hence the distance of the red line is 51.0feet to the nearest tenth

BRAINLY TO WHOEVER CAN HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

Dilating something makes it become bigger. Leading to a larger area and perimeter

sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account

Answers

Answer:

With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.

Step-by-step explanation:

Kayden was offered a job that paid a salary of $39, 500 in its first year. The salary
was set to increase by 2% per year every year. If Kayden worked at the job for 9 years,
what was the total amount of money earned over the 9 years, to the nearest whole
number?

Answers

Answer:

FV= $385,307.82

Step-by-step explanation:

Giving the following formula:

Annual salary (A)= $39,500

Growth rate (g)= 2% annual

Number of years (n)= 9 years

To calculate the total amount earned over 9 years, we need to use the following formula:

FV= {A*[(1+g)^n-1]}/g

A= annual deposit

FV= {39,500*[(1.02^9) - 1]} / 0.02

FV= $385,307.82

Find the measure of angle STP.
Pleasee help!!

Answers

Answer:

105

Step-by-step explanation:

15x=7x+6+7x+1

15x=14x+7

x=7

15(7)=105

Emma eats 5 bags of chips a week. How many bags of chips does she eat (on average) a day? A month? A year?

Answers

Answer:

5/7 ; 21 ; 260

Step-by-step explanation:

Given that:

Number of bag of chip eaten in a week = 5

Therefore, on average

Number of bags eaten per day will be :

Number of days per week = 7

Number of bags eaten per day= 5 /7 = 0.714 bags

Number of bags eaten per month :

Number of days in a month = 30

Number eaten or month = 5/7 * 30 = 21.42 bags = about 21 bags

Number of bags eaten per year :

Number of days in a year = 365 days

= 5/7 * 365

= 260.71

= about 260 bags per year.

Write a quadratic function f whose zeros are 2 and 10.
f(x) =

Answers

LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL quadratic form 11
f(x) = x^2 - 12x + 20

please help (algebra)

Answers

Answer:

4. Corresponding angles

5. alternative interior angles

6. Same-side interior angles

7. Supplementry

Step-by-step explanation:

I can't see the numbers so I can't solve for x. Sorry.

2
A swimming pool is in the shape of a rectangular prism with a horizontal cross-section 10 feet by 20 feet. The pool is 5 feet deep and filled to
capacity. Water has a density of approximately 60 pounds per cubic foot, or 8 pounds per gallon.
What is the approximate weight of water in the pool?

Answers

Answer:

The weight of the water in the pool is approximately 60,000 lb·f

Step-by-step explanation:

The details of the swimming pool are;

The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet

The depth of the pool = 5 feet

The density of the water  in the pool = 60 pounds per cubic foot

From the question, we have;

The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g

The volume of water in the pool = Cross-sectional area × Depth

∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³

Acceleration due to gravity, g ≈ 32.09 ft./s²

∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N

266,196.089 N ≈ 60,000 lb·f

The weight of the water in the pool ≈ 60,000 lb·f

Can someone help me with this triangle??
Find missing side lengths

Answers

Answer:

M= 15 degrees    N= 15 degrees

Step-by-step explanation:

Right triangles are always 90 degrees so 90-60=30

since theres 2 sides you have to split 30 in 2 so 30 divided by 2 equals 15

HELP ILL GIVE U THE BRAINLIEST

Answers

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

The correct answers is (0,3)

priya says that 1/3 x 1/3 x 1/3 x 1/3 = 4/3. do you agree with priya? explain or show your reasoning

Answers

No, priya is wrong. Multiplying a number by one is essentially multiplying it by nothing so by multiplying 1•1•1•1 we are multiplying one by itself so it is just 1 and since we are multiplying, we must multiply the denominators as well which is just 3^4 which is 81 so that leaves your answer being 1/81.
Mark brainliest if helped please :)

Find the sum or type
“impossible"
Help Resources
[1 -2 1] + [4 -5 -6]
Skip
[[?]
Enter

Answers

Answer:

-7

Step-by-step explanation:

looked on photomath

You have $25 in your bank account. You start saving $9 each week. Your friend has
$10 in his account and is saving $12 each week. Which system of equations could be
used to model the total amount in the bank account, t as a function of weeks, w.
A)t=9w+25. T=12w+10
B)t+w=25. 10t+9w=12
C)t=9w+12w. T=10w+12
D)t=9w+12w. T+w=25

Answers

Answer:

A)t=9w+25. T=12w+10

Step-by-step explanation:

Equation for you:

t = 25 + 9w

Equation for friend:

t = 10 + 12w

CAN SOMEONE PLS HELP WITH THESE WORD PROBLEMS PLSSS IVE BEEN STUCK HELP HELP HELP

Answers

Answer:

3. 76 Balls and 27 Bats

4. you try this

5. you try this

Step-by-step explanation:

Each problem follows the same approach to solve.

Setup 2 equations, one showing the total number and the other showing the total costs.

I'll work out problem 3 and you should be able to do the other two

L=the number of balls

T=the number of bats

equation 1:

L+T=100

equation 2:

L(4.50) + T(20.00) = 822

solve for T in equation 1:

T= 100-L

now substitute T in equation 2:

L(4.5) + 20(100-L) = 822.0

solve for L:

L= -1178/-15.5=76

T=100-76=24

I'll let you know if problems 4 and 5 are correct

Dina added five-sixths of a bag of soil to her garden. Her neighbor Natasha added eleven-eighths bags of soil to her
garden. How much more soil did Natasha add than Dina?

Answers

Answer:

Natasha added 13/24ths more than Dina.

Step-by-step explanation:

By getting common denominators you have 66/48-40/48 then you get 26/48 and you just simplify this by 2 to get 13/24ths.

Love you, hope this helps.

HELP HELP HELP ILL MARL BRAINLIEST TO WHOEVER

Answers

Answer:

x- 2

Step-by-step explanation:

When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer, 2x3 -x-6. Identify where she
made her made her mistake.
Your answer
She started with the original problem: (x3 + 2x2 - x)-(-x3 + 2x2 + 6)
o She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
She rearranged the terms to put the like terms together: x3+ x3 + 2x2 – 2x2-x+6
She combined like terms to get a simplified answer: 2x3 - x + 6

Answers

Answer:

She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6

Step-by-step explanation:

It looks like she didn't fully distribute the -

(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original

x3+ 2x2 - x + x3 – 2x2 +6 :Changed

~

(x3 + 2x2 - x)-(-x3 + 2x2 + 6)

x3 + 2x2 - x + x3 - 2x2 - 6

x3 + x3 + 2x2 - 2x2 -x - 6

2x3-x-6

I hope this helps ^-^

A group pre-orders 12 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs $32, so the debt for one ticket is - $32. The tour
company adds a $20 fee for the entire order. Including the fee, which number represents the total debt?
- $624
- $384
-$364
-$404

Answers

404 is the answer. if you add them all together

please help me with math
no links i will report
no random answers please i really need help
find measure of CDE​

Answers

Answer:

CED = 172°

Step-by-step explanation:

CDE = 360° - 35° - 50° - 103°

CDE = 172°

Someone plz help me giving brainliest T^T plz select (2)

Answers

Answer:

F.

Step-by-step explanation:

there are 36 tiles overall from where 4 are purple so

[tex]\frac{4}{36} =\frac{1}{9} =\frac{1}{3} *\frac{1}{3}[/tex]

WXYZ is a parallelogram, find the following values.

Answers

Answer:

b=7

Z=65

Step-by-step explanation:

18b-11+9b+2=180

27b-9=180

27b=180+9

b=189/27

b=7

____________

Angle Z=9×7+2

=63+2

Z=65

hope it helps you...

have a great day!!!

Answer:

b = 7

z = 65

this is correct answer of this question hope it helps and your day will be full of happiness ^_^

similfy (6^(7))^(3) Thank you!

Answers

Answer:

6^21

Step-by-step explanation:

(6^7)^3 = 6^(7*3) = 6^21

A right rectangular prism has a side height of 4 cm and a volume of 48 cm cubed.
What is the area of the base of the prism?
A. 15 2
B. 12 2
C. 11 2
D. Not listed

Answers

Answer:

15cm^2

Step-by-step explanation:

it is basic math to me.

Practice identifying reflectional and rotati Which letters have 2 or more lines of symmetry? Check all that apply. here's the better one​

Answers

Answer:

O, H, X

Step-by-step explanation:

i did this on edg hope this helps

Answer:

O H X

Step-by-step explanation:

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