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n200080 [17]
3 years ago
6

Ax+3x=bx+5 solve for x please helpill give brainliest please show steps

Mathematics
1 answer:
Contact [7]3 years ago
6 0

Answer:

x = \frac{5}{a+3-b}

Step-by-step explanation:

Given

ax + 3x = bx + 5

Collect terms in x on the left side by subtracting bx from both sides

ax + 3x - bx = 5 ( factor out x on the left side )

x(a + 3 - b) = 5 ( divide both sides by (a + 3 - b ))

x = \frac{5}{a+3-b}

 

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An open box is made from a 40​-cm by 80​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
tamaranim1 [39]

Answer:

x=2

Step-by-step explanation:

let x be the edge length of the square removed at each corner;

Hence the area of the base is:

A_b(80-2x)(40-2x)=2736\\\\3200-160x-80x+4x^2=2736\\\\\\4x^2-240x+3200=2736\\\\4x^2-240x+464=0\\\\x^2-60x+116=0

Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58

#Given that x=58 is larger than 40cm, the side length is x=2

6 0
3 years ago
A 70-ft ladder is mounted 10 ft above the ground on a fire truck. The bottom of the ladder is 40
riadik2000 [5.3K]

\text{Hello there!}\\\\\text{Use the Pythagorean theorem first:}\\\\a^2+b^2=c^2\\\\\text{Plug 70 to c since it's your hypotenuse and plug 40 to a}\\\\40^2+b^2=70^2\\\\\text{Solve for b:}\\\\40^2+b^2=70^2\\\\1600+b^2=4900\\\\\text{Subtract 1600 from both sides}\\\\b^2=3300\\\\\text{Square root}\\\\b=57.4456\\\\\text{Round to the nearest tenth}\\\\57.4\\\\\text{Add 10 to 55.4 because the ladder is 10 ft off the ground}\\\\67.4\\\\\boxed{\text{Answer: about 67.4 ft}}

3 0
3 years ago
Write (p^2)^3 without exponents
Vilka [71]

Answer:

p^6

Step-by-step explanation:

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p^6

Hope this helps plz hit the crown :D

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3 years ago
A TEACHER IS CONSTRUCTING A MATHEMATICS TEST
Nuetrik [128]

The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is  924, 000 ways

<h3>How to determine the combination</h3>

Note that the formula for combination is given as;

Combination = \frac{n!}{r!(n-r)!}

From the information we have that;

There are 28 questions in the pool

The test should have a total of 10 questions;

6 difficult , 10 average and 12 easy questions

We are asked to determine the combination of;

3 difficult questions

4 average questions

3 easy questions

6C3 = \frac{6!}{3!(6-3)!}

6C3 = \frac{720}{36}

6C3 = 20

10C4 = \frac{10!}{4!(10-4)!}

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The number of ways of constructing the questions is

= 20 × 210 × 220

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Learn more about combination here:

brainly.com/question/4658834

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2 years ago
How many 18-oz bottles can you full with 252oz of catsup
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14 is how many bottles you can fill
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4 years ago
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