if the product of two number is 10 and the sum is 7 ,then the longest of the two number is​

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

So

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

[tex]10/y+y= 7\\\\10/y= 7-y[/tex]

cross multiply we have

[tex]10=y(7-y)\\\\10=7y-y^2[/tex]

rearrange

[tex]y^2-7y+10=0[/tex]

the factors of the quadratic expression are

-5 and -2

[tex]y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\[/tex]

The longest side is 5 units


Related Questions

PLZ I NEED HELP AND I DON"T KNOW THE ANSWER!!

Answers

Answer:

Step-by-step explanation:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

1)Cost of 1 ton = $ 2000

Cost of 2 ton = $3500

Cost of 3 ton = $5000

$ 1500 increase for each of ton of sugar being transported.

2) (1 , 2000) ; (2 , 3500)

Slope =

= 1500

Which list of fractions is in order from smallest to largest? 1/6,1/3 ,1/2 ,1/2 ,1/3 ,1/6 ,1/6 ,1/2 ,1/3, 1/2, 1/6, 1/3

Answers

Answer:

The smallest order of fractions in that order would be,

Step-by-step explanation:

1/6, 1/3, 1/2

because the bigger the denominater, the larger the whole is, and in 1/2, it would be equivalent to half, but 1/6 would be smaller. Let's say if it were 3/6, it would be equivalent to 1/2 because its half right? so thats another way you can tell how one fraction is smaller than another.

1/6,1/3,1/2 is the  list of fractions is in order from smallest to largest.

What is Fraction?

A fraction represents a part of a whole.

The given three fractions are 1/6, 1/3 and 1/2.

We need to order them smallest to largest.

Let us make the denominator same for all the three fractions to compare which is larger and smaller.

1/6×2/2=2/12

1/3×4/4=4/12

1/2×6/6=6/12

So 1/6 is smaller, 1/2 is bigger.

We know Arranging numbers in increasing order, that is, from smallest to largest is known as ascending order.

by using ascending order we can order the fractions like 1/6,1/3,1/2.

Hence, 1/6,1/3,1/2 is the  list of fractions is in order from smallest to largest.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Which point is at 44.197 on the number line?

Answers

Answer:

C

Step-by-step explanation:

because C

Write as a power of 10. How did you do it? a) 100 b) 10 000 c) 100 000 d) 10 e) 1000 f) 1 000 000

Answers

Answer: ↓↓↓

Step-by-step explanation:

a.) 100 - 10^2

b.) 10,000 - 10^4

c.) 100,000 - 10^5

d.) 10 - 10^1

e.) 1000 - 10^3

f.) 1,000,000 - 10^6

What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.

HELP HELP HELP NO ONE HELPS ME

Answers

Fr I need to make to helping hand

What is 2 x 2 x 2 x 2 x 2 x 2 x 2 is exponet form

Answers

Answer:

2^7

Step-by-step explanation:

Answer:

2^7

Step-by-step explanation:

2 to the 7th power because there are 7 2s in the whole equation

Also, 2*2*2*2*2*2*2 is 128, which is 2^7

The measures of two sides of a triangle are given {17x-7} and {3x^2+5}. The perimeter of the triangle is 13x^2-14x+12. Find the measures of the third side.

Answers

(17*-7) the perimeter would be 12*2.5-7

help pls A-p-e-x!!!!!!!!

Answers

Answer:

I think its D bc the scale factor is 1:5 so 12:60 therefore the answer I think is D

I hopeit helps but if its wrong im very sorry :(

Step-by-step explanation:

Plzzzzzz help meeeeeee

Answers

Answer:

-10

Step-by-step explanation:

hope it helps

Answer:

blue point value is -10

Step-by-step explanation:

First lets find the difference between each point on the line,

The gap between 10 and 2 has 2 points

So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,

So 8/2 = 4 is the difference between each point from top to bottom.

There is 3 points after 2 to reach blue,

So 4 x 3 = 12, is the difference in value between point C(2) and point blue,

So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10

Therefore the value of blue point is -10

Happy to help :)

-6k+7k
So I'm not sure that it's k because I need to simplify? Can someone help me

Answers

Answer:

k

Step-by-step explanation:

its just k, since 1k can be simplified to just k

It’s K since 1k equals K times 1 which equals k

CLEAR HIGHLIGHTING
COLOR THEME
ZOO
6. Ricky rolls a fair six-sided number cube, numbered 1 through 6, if he rolls the
dice 18 times. How many times should Ricky expect to roll an even number

Answers

Yikes I think 3 or 6

Do the ratios 3 8 and 4 7 form a proportion?

Answers

The ratios 3:8 and 4:7 are not proportion. You can tell this easily by how in the second ratio, the first number is one larger, but the second number is 1 lower. If this was proportional, then both numbers would go either up or down depending on the circumstance.

May I have brainliest pleasER? :)

so like can anybody solve this?
ill give the first person to solve this crown

Answers

Answer:

11/5

This is what M a t h w a y says

Step-by-step explanation:

k ( n ) = | n + 1 | − 1 ; Find k ( 4 )

Answers

Answer:

4

Step-by-step explanation:

Anna is making a square pen for her rabbit to play in. Each
side of the pen is 9 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and s is the length of one side.
What is the area of the pen?
A. 9 square feet
B. 36 square feet
C. 18 square feet
D. 81 square feet

Answers

Answer:

[tex]area \: A = {s}^{2} \\ = {9}^{2} \\ A \: = 81 \: square \: feet \\ or \\ A = 81 \: {ft}^{2} [/tex]

The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.

Answers

Answer:

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the expression

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Solving for 'm'

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Flip the equation

[tex]\frac{k}{2}\left(m+n\right)=A[/tex]

Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]

Add (-1)/2 × kn to both sides

[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]

simplify

[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]

Divide both sides by k/2

[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]

[tex]m=\frac{2A-kn}{k}[/tex]

Therefore,

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $

Answers

50 x 0.04 = 2
$50 + $2 = $52
ANSWER- $52

Answer:

2.00

Step-by-step explanation:

$50 x .04=$2.00

Liam bought 6 4/5 pounds of steak. He used 3 1/18 pound of stake for a cookout

Answers

Answer:

3.74

Step-by-step explanation:

bought can be as subtract

So...

6 4/5 - 3 1/18 = 3.74 THXS! (>-<)

Which of the following represents the solution to the equation 4x - 2 = 10?

Answers

Answer:

the top option

Step-by-step explanation:

solve 4x - 2 = 10 and you get

4x = 12

x = 3

this means there is only one solution and only 3 should be filled in

A rectangular swimming pool is 28 feet wide. Jason drew the pool at the scale below. 1 inch : 4 feet How many inches wide is Jason's drawing?

F. 4 inches
G. 7 inches
H. 14 inches
J. 21 inches

Answers

Jason’s pool is 7 inches wide because you have to multiply Length and Width so 4x7=28 so the answer is G.7 inches

The value of a professor basketball players autograph rose 30% in the las year.It is now worth $286.00. What was it worth a year ago

A. $210.00
B. $230.00
C. $200.00
D. $220.00

Answers

Answer:

$220 dollars

Step-by-step explanation:

a = p * w (the percentage formula)

subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)

286 = 1.30 * w

solve.

w = 220

In a room of 33 students, 12 are taking geogra-
phy, 14 are taking history, and 5 are taking both
geography and history. How many of these
students are not taking either geography or
history?

Answers

Answer:

2

Step-by-step explanation:

all of those equal 31

Answer:

31

Step-by-step explanation:

___% of 25 = 15
Pls help-

Answers

Answer: 60%

Step-by-step explanation: i hope it helps.

Answer:

60%

Step-by-step explanation:

Joe is 3 years less than twice as old as Sara. The sum of the ages of Joe and Sara is 42. If x represents Sara's age,

Answers

Answer:

Sara or x=15, Joe=27

Step-by-step explanation:

Using J to represent Joe and S to represent Sara

J=2S-3

J+S=42 or J=42-S

Substitute for J:

42-S=2S-3

3S=45

S=15

J=2(15)-3 = 27

CAN SOMEONE PLZ HELP

Answers

It would be C. 7*7*7*7*7

Hope this helps

Have a great day/night

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

I help me help me help me help me help help help help help me help me help me help me

Answers

Answer:

a would be 2/9 and b would b 1/4 and c would be 0.17

Step-by-step explanation:

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

✧・゚:Multiple Choice:・゚✧

What is the slope of the line in the graph below?


A. -2
B. -1
C. 1
D. 2

° ♡ ₒ ♡ °
Thank you!

Answers

Answer:

-2

Step-by-step explanation:

slope is rise over run

-2/1

= -2

Answer:

-2

Step-by-step explanation:

Slope is rise over run  -2/1

In a survey of 3,300 people who owned a certain type of​ car, 1,980 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

60%

Step-by-step explanation:

can someone find the answer to this please ​

Answers

Answer:

c

Step-by-step explanation:

maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood


help ;-;...

Answers

Answer: 26

Step-by-step explanation:

62-36=26

Answer: 26

You simply have to subtract 36 from 62

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