Mathematics : asked on maddylife

22.02.2020

Solve for x.
6x + 10 = 52

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24.06.2023, solved by verified expert

Bhaskar Singh Bora

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X = 7
(6)(7) + 10 = 52
42 + 10 = 52

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Ranjana Bhatt

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Chemistry, Q&A Expert

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Step-by-step explanation:

well let’s just think that there’s already 10. let’s ignore the 10 for later.

now let’s think about 6x. of course the x is unknown (variable) which we have to find, so what you want to do, (easy way) think of every multiple of the number 6. so that of course includes 6, 12, 18... etc. now if you continue, you will get to the number 42. now it might not click right there but 42... is what we need since we already have the 10. since 42 + 10 = 52, now we just need to find out what 42 divided by 6 is... 7! 7x6 or 7(6) is 42, plus the starting 10 is 52!

therefore, x = 7.

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Mathematics

Solve for x. 6x + 10 = 52

Step-by-step answer

P Answered by PhD

X = 7
(6)(7) + 10 = 52
42 + 10 = 52

Mathematics

Name period date use the distributive ? instructions: simplify the path of correct answers to dibutive property to simplify: maze simplify the expression in the first box. follow the answers to the bee find his way back to the hive! begin: 4(x + 2) 4x + 8 2(3x - 4) 6x-8 1-4(3 - 6x) 2x + 18-2(2 – 3x) 4x +6 4x - 6x --6x + 8 24x - 12 - (2- 12x) 48x – 7(2 - x) 4x+8 7(1 + 2x) 16x- 8 8x(2 + 4) 7x - 14 24x - 12 t24x – 12 24x - 12 24x – 12 --6(2x + 7) -12x – 5 -(5 + 12x) 22x-66 -(5 + 12x) 22x - 66 11(2x - 6) 2x+18 -2(-x-9) -2x + 18 -12x - 42 -5x - 12 22x

Step-by-step answer

P Answered by PhD

4x+8

6x-8

48x^2+30x-4

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4) =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)

=(12-24x)2x-4+6x

=24x-48x^2-4+6x

=-48x^2+30x-4

Mathematics

Step-by-step answer

P Answered by PhD

4x+8

6x-8

48x^2+30x-4

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4) =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)

=(12-24x)2x-4+6x

=24x-48x^2-4+6x

=-48x^2+30x-4

Mathematics

Arrange the systems of equations that have a single solution in increasing order of x-values in their solutions. 2x+y=10 x-3y=-2 2x + y= 10 -6x -3y=-2 x+2y= 5 2x + y = 4 5x+ y= 33 x=18-4y y=13 -2x 8x + 4y =52 x+ 3y =5 6x-y=11 y=10 + x 2x + 3y =45

Step-by-step answer

P Answered by PhD

(III), (VI),(VII), (I), (IV)

Step-by-step explanation:

Solving the system of equations one by one by elimination method

(I) 2x+y=10

x-3y= -2 ( multiply by 2)

we have unique solution

x=4, y=2

(II) 2x+y=10 (multiply by -3)

-6x-3y= -2

No solution.

(III) x+2y=5 (multiply by 2)

2x+y=4

Unique solution

x=1, y=2

(IV) 5x+ y= 33

x=18-4y ---> x+4y=18 (multiply by 5)

Unique solution

x=6, y=3

(V) Y=13 -2x > 2x+y=13 ( multiply by 4)

8x + 4y =52

No solution

(VI) x+ 3y =5

6x-y=11 (multiply by 3)

Unique solution

x=2, y=1

(VII) Y=10 + x > -x+y=10 (multiply by 2)

2x + 3y =45

Unique solution

x=3 , y=13

Values of x in increasing order= (III), (VI),(VII), (I), (IV)

Mathematics

Step-by-step answer

P Answered by PhD

(III), (VI),(VII), (I), (IV)

Step-by-step explanation:

Solving the system of equations one by one by elimination method

(I) 2x+y=10

x-3y= -2 ( multiply by 2)

we have unique solution

x=4, y=2

(II) 2x+y=10 (multiply by -3)

-6x-3y= -2

No solution.

(III) x+2y=5 (multiply by 2)

2x+y=4

Unique solution

x=1, y=2

(IV) 5x+ y= 33

x=18-4y ---> x+4y=18 (multiply by 5)

Unique solution

x=6, y=3

(V) Y=13 -2x > 2x+y=13 ( multiply by 4)

8x + 4y =52

No solution

(VI) x+ 3y =5

6x-y=11 (multiply by 3)

Unique solution

x=2, y=1

(VII) Y=10 + x > -x+y=10 (multiply by 2)

2x + 3y =45

Unique solution

x=3 , y=13

Values of x in increasing order= (III), (VI),(VII), (I), (IV)

Mathematics

Arrange the systems of equations that have a single solution in increasing order of the x-values in their solutions. 2x + y = 10 x − 3y = -2 x + 2y = 5 2x + y = 4 5x + y = 33 x = 18 − 4y y = 13 − 2x 8x + 4y = 52 x + 3y = 5 6x − y = 11 2x + y = 10 -6x − 3y = -2 y = 10 + x 2x + 3y = 45

Step-by-step answer

P Answered by PhD

6 , 2 , 5 , 7 , 4 , 1 , 3

Step by Step:

1) x - 3(10 - 2x) = -2

x - 30 + 6x = -2

7x - 30 = -2

7x = 28

x = 4

2) x + 2(4 - 2x) = 5

x + 8 - 4x = 5

-3x + 8 = 5

-3x = -3

x = 1

3) 5(18 - 4y) + y = 33

90 - 20y + y = 33

90 - 19y = 33

-19y = -57

y = 3

x = 18 - 4(3)

x = 18 - 12

x = 6

4) 8x + 4(13 - 2x) = 52

8x + 52 - 8x = 52

52 = 52

5) x + 3(-11 + 6x) = 5

x - 33 + 18x = 5

19x - 33 = 5

19x = 38

x = 2

6) -6(5 - 2y) - 3y = -2

-30 + 12y - 3y = -2

-30 + 9y = -2

9y = 28

y = 3

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

7) 2x + 3(10+x) = 45

2x + 30 + 3x = 45

5x + 30 = 45

5x = 15

x = 3

Mathematics

Step-by-step answer

P Answered by PhD

6 , 2 , 5 , 7 , 4 , 1 , 3

Step by Step:

1) x - 3(10 - 2x) = -2

x - 30 + 6x = -2

7x - 30 = -2

7x = 28

x = 4

2) x + 2(4 - 2x) = 5

x + 8 - 4x = 5

-3x + 8 = 5

-3x = -3

x = 1

3) 5(18 - 4y) + y = 33

90 - 20y + y = 33

90 - 19y = 33

-19y = -57

y = 3

x = 18 - 4(3)

x = 18 - 12

x = 6

4) 8x + 4(13 - 2x) = 52

8x + 52 - 8x = 52

52 = 52

5) x + 3(-11 + 6x) = 5

x - 33 + 18x = 5

19x - 33 = 5

19x = 38

x = 2

6) -6(5 - 2y) - 3y = -2

-30 + 12y - 3y = -2

-30 + 9y = -2

9y = 28

y = 3

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

7) 2x + 3(10+x) = 45

2x + 30 + 3x = 45

5x + 30 = 45

5x = 15

x = 3

Mathematics

Complete. 5. m26 + m2 7 + m2 8 = ? 6. if m 26 = 52 and m2 11 = 82, then m27 - - 7. if m 26 = 55 and m 2 10 = 150, then m 28 - - 8. if m 26 = x, m2 7 = x - 20, and m211 = 80, then x = _? 9. if m 2 8 = 4x, m 2 7 = 30, and m 29 = 6x - 20, then x = ? 10. m 2 9 + m2 10 + m2 11 = 2. exs. 5-10

Step-by-step answer

P Answered by Master

5. m26+m27+m28= m81

Step-by-step explanation:

because 26+27 =53 and you just plug in m

and 28+53 = 81

Mathematics

Question 1 solve for x using the quadratic formula: x2 − 6x + 9 = 0 x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x = 6 x = 3 x = 1 x = 0 question 2 solve: 49x2 − 60 = 0 round your answer to the nearest hundredth. x = 0 x = −3.32 and x = 3.32 x = −1.11 and x = 1.11 x = −0.82 and x = 0.82 question 3 when the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equals negative b plus or minus the square root of b squared minus

Step-by-step answer

P Answered by Master

Part 1) x=3

Part 2) x = −1.11 and x = 1.11

Part 3) 105

Part 4) a = −6, b = 9, c = −7

Part 5) x equals 5 plus or minus the square root of 33, all over 2

Part 6) In the procedure

Part 7) -0.55

Part 8) The denominator is 2

Part 9) a = −6, b = −8, c = 12

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

Part 1)

in this problem we have

$x^{2} -6x+9=0$

$a=1\\b=-6\\c=9$

substitute in the formula

$x=\frac{-(-6)(+/-)\sqrt{-6^{2}-4(1)(9)}} {2(1)}$

$x=\frac{6(+/-)\sqrt{0}} {2}$

$x=\frac{6} {2}=3$

Part 2) in this problem we have

$49x^{2} -60=0$

$a=49\\b=0\\c=-60$

substitute in the formula

$x=\frac{0(+/-)\sqrt{0^{2}-4(49)(-60)}} {2(49)}$

$x=\frac{0(+/-)\sqrt{11,760}} {98}$

x=(+/-)1.11

Part 3) When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r?

in this problem we have

$x^{2} -9x-6=0$

$a=1\\b=-9\\c=-6$

substitute in the formula

$x=\frac{-(-9)(+/-)\sqrt{-9^{2}-4(1)(-6)}} {2(1)}$

$x=\frac{9(+/-)\sqrt{105}} {2}$

therefore

r=105

Part 4) What are the values a, b, and c in the following quadratic equation?

−6x2 = −9x + 7

in this problem we have

$-6x^{2}=-9x+7$

$-6x^{2}+9x-7=0$

$a=-6\\b=9\\c=-7$

Part 5) Use the quadratic formula to find the exact solutions of x2 − 5x − 2 = 0.

In this problem we have

$x^{2} -5x-2=0$

$a=1\\b=-5\\c=-2$

substitute in the formula

$x=\frac{-(-5)(+/-)\sqrt{-5^{2}-4(1)(-2)}} {2(1)}$

$x=\frac{5(+/-)\sqrt{33}} {2}$

therefore

x equals 5 plus or minus the square root of 33, all over 2

Part 6) Quadratic Formula proof

we have

$ax^{2} +bx+c=0$

Divide both sides by a

$x^{2} +(b/a)x+(c/a)=0$

Complete the square

$x^{2} +(b/a)x=-(c/a)$

$x^{2} +\frac{b}{a}x+\frac{b^{2}}{4a^{2}} =-\frac{c}{a}+\frac{b^{2}}{4a^{2}}$

Rewrite the perfect square trinomial on the left side of the equation as a binomial squared

$(x+\frac{b}{2a})^{2}=-\frac{4ac}{a^{2}}+\frac{b^{2}}{4a^{2}}$

Find a common denominator on the right side of the equation

$(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}$

Take the square root of both sides of the equation

$(x+\frac{b}{2a})=(+/-)\sqrt{\frac{b^{2}-4ac}{4a^{2}}}$

Simplify the right side of the equation

$(x+\frac{b}{2a})=(+/-)\frac{\sqrt{b^{2}-4ac}}{2a}$

Subtract the quantity b over 2 times a from both sides of the equation

$x=-\frac{b}{2a}(+/-)\frac{\sqrt{b^{2}-4ac}}{2a}$

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

Part 7) in this problem we have

$3x^{2} +45x+24=0$

$a=3\\b=45\\c=24$

substitute in the formula

$x=\frac{-(45)(+/-)\sqrt{45^{2}-4(3)(24)}} {2(3)}$

$x=\frac{-(45)(+/-)\sqrt{1,737}} {6}$

$x1=\frac{-(45)(+)\sqrt{1,737}} {6}=-0.55$

$x2=\frac{-(45)(-)\sqrt{1,737}} {6}=-14.45$

therefore

The other solution is

-0.55

Part 8) in this problem we have

$2x^{2} -8x+7=0$

$a=2\\b=-8\\c=7$

substitute in the formula

$x=\frac{-(-8)(+/-)\sqrt{-8^{2}-4(2)(7)}} {2(2)}$

$x=\frac{8(+/-)\sqrt{8}} {4}$

$x=\frac{8(+/-)2\sqrt{2}} {4}$

$x=\frac{4(+/-)\sqrt{2}} {2}$

therefore

The denominator is 2

Part 9) What are the values a, b, and c in the following quadratic equation?

−6x2 − 8x + 12

in this problem we have

$-6x^{2} -8x+12=0$

$a=-6\\b=-8\\c=12$

Mathematics

Plz on om this test which pair of numbers is 6 a common factor of? 12 and 20 16 and 24 24 and 54 30 and 64 which number is a common factor of 24, 48, and 144? 16 10 9 8 which expression makes the equation true? y to the power of 20 end power equals open parentheses blank close parentheses squared question 3 options: y to the power of 4 y to the power of 5 y to the power of 10 y to the power of 12 which expression makes the equation true? 64 h to the power of 8 end power equals open parentheses blank close parentheses squared question 4 options:

Step-by-step answer

P Answered by Specialist

24 and 54

y to the power 5

negative 8 and 6

131

2 squared times 13

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Solve for x. 6x + 10 = 52

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6x + 10 = 52