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Margarita [4]
3 years ago
15

Solve the equation 4x + 29 = 5 - 8(x+6)

Mathematics
1 answer:
Luda [366]3 years ago
4 0

To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,

4x + 29 = 5 - 8(x+6)

4x + 29 = 5 - 8x - 48

4x + 29 = - 43 -8x Combine the like terms.

4x + 29 + 8x = -43 Add 8x to each sides of the equation.

12x + 29 = -43

12x = -43 - 29 Subtract 29 from each sides.

12x = -72

\frac{12x}{12} =-\frac{72}{12}

So, x =- 6

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What is the sequence for 6,12,18,24
scoundrel [369]

Answer:

an =6n

Step-by-step explanation:

6,     12,      18,     24

Take the 2nd number minus the first number,  3rd minus the second, etc

12-6  =6

18-12 = 6

24-18 =6

The common difference is 6

The formula for an arithmetic sequence is

an =a1+d(n-1)

 where a1 is the first term

  d is the common difference

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an = 6+6(n-1)

 Distributing

     = 6+6n-6

     = 6n

7 0
3 years ago
100 times 100 times 100 times 100 times 100 times 4000
Molodets [167]
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Jen has 6 yards of fabric and wants to make a new dress and shorts she used 3 1/3 yards of the fabric on her new dress how much
kodGreya [7K]

Answer:

2\frac{2}{3}\ yards

Step-by-step explanation:

we know that

To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.

so

6-3\frac{1}{3}

Convert mixed number to an improper fraction

3\frac{1}{3}=\frac{3*3+1}{3}=\frac{10}{3}

substitute

6-3\frac{1}{3}=6-\frac{10}{3}=\frac{8}{3}\ yards

Convert to mixed number

\frac{8}{3}\ yards=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ yards

5 0
3 years ago
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exis [7]
15/3x5+4x8=40
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How are the two angles the same?
tino4ka555 [31]

Answer:

if ABCD is a rhombus then the diagonal of rhombus bisect it into two equal triangles.

Step-by-step explanation:

In triangles ABC and CDA,

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  2. BC = AD (S) as as reason 1.
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so the triangles are congruent to each other by S.S.S. fact/ axiom

8 0
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