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3 years ago

13-6x=(2x-5)^2+3 what answer

1 answer:

5 0

13−6x=(2x−5)2+3Step 1: Simplify both sides of the equation.−6x+13=4x2−20x+28Step 2: Subtract 4x^2-20x+28 from both sides.−6x+13−(4x2−20x+28)=4x2−20x+28−(4x2−20x+28)−4x2+14x−15=0Step 3: Use quadratic formula with a=-4, b=14, c=-15.x=−b±√b2−4ac2ax=−(14)±√(14)2−4(−4)(−15)2(−4)x=−14±√−44−8

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

nikdorinn [45]

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102 Eqn 1

3x+8y=153 Eqn 2

Multiyplying Eqn 1 by 4

$4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255$

Dividing both sides by 17

$\frac{17x}{17}=\frac{255}{17}\\x=15$

Putting x=15 in Eqn 2

$15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108$

Dividing both sides by 8

$\frac{8y}{8}=\frac{108}{8}\\y=13.5$

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

4 0

3 years ago

Linda read 1/5 of a book on Friday and 2/7 of the book on Saturday. On Sunday she read 5/9 of the remaining pages. What fraction

insens350 [35]

Here, you just want to solve it by finding a common denominator.
1/5+2/7, because she read 1/5 and 2/7 of the book on separate days. The common denominator is 35.
7/35+10/35
=17/35
So that's how much of the book she read before Saturday.
Now it says that on Sunday she read 5/9 of the remaining pages, meaning:
1-17/35 should give us our answer
35/35-17/35=18/35
But since it says she read 5/9 of the remaining pages, we need to multiply 18/35 by 5/9 to get what 5/9ths of 18/35 is.
(18/35)(5/9)=2/7
Therefore she read 2/7ths of the book on Sunday.

3 0

3 years ago

What’s -2x+y= -14 6x + 5y = -6

Katarina [22]

Hey, here's a pic of it ! hope this helps !

p.s., photomath is a good app for algebraic answers with work, you should check it out (:

3 0

3 years ago

the average adult horse needs 2/5 bale of hay each day to meet dietary requirements And horse farm has 44 bales of hay. How many

adoni [48]

To be honest I dont really understand this question... if i did i would answer but... i love horses xp

7 0

3 years ago

Read 2 more answers

The residents of a downtown neighborhood designed a triangular-shaped park as part of a city beautification program. The park i

ycow [4]

You have x , x+7, and 7x-7. When you add those up and equal it to 180 you can get your x. X equals 20
So one angle is 20 degrees
The second angle is 27 degrees
And the third angle is 133 degrees.

8 0

3 years ago