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STALIN [3.7K]
3 years ago
11

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

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

<em>answer = yes </em>

<u>B)  Estimate the difference in the proportion of adult Americans aged 18 to 29</u>

= ( 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

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

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 ---- <em>First value of h</em>

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}<em> ------ Second value of h</em>

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
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