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3 years ago

How do I solve this equation 5x+7=3x-5

Mathematics

2 answers:

Leona [35]3 years ago

8 0

Answer:

The answer above is correct i got it right

algol133 years ago

6 0

Answer:

x = -6

Step-by-step explanation:

Simplifying

5x + 7 = 3x + -5

Reorder the terms:

7 + 5x = 3x + -5

Reorder the terms:

7 + 5x = -5 + 3x

Solving

7 + 5x = -5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

7 + 5x + -3x = -5 + 3x + -3x

Combine like terms: 5x + -3x = 2x

7 + 2x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0

7 + 2x = -5 + 0

7 + 2x = -5

Add '-7' to each side of the equation.

7 + -7 + 2x = -5 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = -5 + -7

2x = -5 + -7

Combine like terms: -5 + -7 = -12

2x = -12

Divide each side by '2'.

x = -6

Simplifying

x = -6

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Give collinear points in space, how many lines can be drawn

Ber [7]

Answer:

Two or more points are collinear, if there is one line, that connects all of them.

Step-by-step explanation:

please give brainliest.

7 0

3 years ago

The report "The New Food Fights: U.S. Public Divides Over Food Science" states that younger adults are more likely to see foods

Setler79 [48]

Answer:

a) yes

b) ( 0.0280 , 0.1720 )

c) No

Step-by-step explanation:

A) Determine if the sample sizes are large enough

where :

ages between ( 18 to 29 )

p1 = 0.48 ,

n1 = 178 , ∴ n1 P1 = 85.44 also n1 ( 1 - p1 ) = 92.56

ages between ( 50 to 64 )

P2 = 0.03 ,

n2 = 427 ∴ n2p2 = 12.81 also n2( 1 -p2 ) = 414.19

since all the values ae above 10 we can conclude that the sample sizes are large enough 

answer = yes 

B) Estimate the difference in the proportion of adult Americans aged 18 to 29

= ( 0.0280 , 0.1720 )

attached below is the detailed solution

C) zero is not included in the interval

7 0

3 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Translate the word phrase into variable expression The quotient of a number and 6 is increased by 1

nalin [4]

Answer:

n/6 + 1

I'm pretty sure this is right

8 0

3 years ago

2. In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviati

Kobotan [32]

Answer: $85,000

Step-by-step explanation:

Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.

$\mu_M=40,000\ \ ;\sigma_M=12,000$

Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.

$\mu_F=45,000\ \ ;\sigma_F=18,000$

If C denote the combined earnings for a randomly selected couple.

Then, the mean of C will be :-

$\mu_c=\mu_M+\mu_F\\\\=40,000+45,000=85,000$

Hence, the mean of C = $85,000

8 0

3 years ago