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Lostsunrise [7]
2 years ago
5

Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)

Mathematics
2 answers:
lana [24]2 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}

Hope it helps ⚜

abruzzese [7]2 years ago
3 0

Answer: 1

Step-by-step explanation:

16 * 1/2 = 8

7x + 1 = 8

7x = 7

x = 1

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what is the common ratio of the geometric sequence below? –96, 48, –24, 12, –6, ... a, -2 b,-1/2 c, 2 d, 1/2
marysya [2.9K]

Answer:

Option b is correct.

The common ratio for the given geometric sequence is; \frac{-1}{2}

Step-by-step explanation:

The given sequence is;  -96, 48 , -24, 12 , -6, .....

Since, given sequence is Geometric

Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)

In general we write geometric sequence as;

a , ar, ar^2, ar^3 , .....

where a be the first term and r is the common ratio.

On comparing the given sequence with general geometric sequence;

we get

a = -96                  ......[1]

ar = 48                   ......[2]

ar^2 = -24              .....[3]

and so on....        

To find the common ratio i.e, r;

Divide equation [2] by [1];

\frac{ar}{a} =\frac{48}{-96}

Simplify:

r = \frac{-1}{2}

Similarly,

by dividing the equation [3] by [2] we get;

\frac{ar^2}{ar} = \frac{-24}{48}

Simplify:

r = \frac{-1}{2}

As, you can see that the value of r is constant i.e, r= \frac{-1}{2} in the given sequence.

Therefore, the common ratio for the given geometric sequence is; r= \frac{-1}{2}


8 0
3 years ago
Read 2 more answers
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Stolb23 [73]

To solve this problem you must apply the proccedure shown below:

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2. Now, you must divide the perimeter by the space between each flower to find the number of flowers needed, which you can call x:

x=\frac{753.98in}{6in}=125.6=126

The answer is: 126 flowers.

5 0
3 years ago
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jeka57 [31]

Answer:

y = 85°

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Step-by-step explanation:

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z)

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x)

180 - (35 + 85)

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Hope this helps!

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2 years ago
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