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Katarina [22]
3 years ago
5

A. Given the equation 2(3x − 4) = 5x + 6, solve for the variable

Mathematics
2 answers:
pshichka [43]3 years ago
7 0
2(3x - 4) = 5x + 6
6x - 8 = 5x + 6
6x - 5x = 6 + 8
x = 14 <==
Eva8 [605]3 years ago
5 0
First, you would distribute 2 into the parentheses so you would have 6x-8= 5x+6. Subtract 5x from both sides so you have x-8=6. Finally, add 8 to both sides which leaves you with x= 14
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Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters.
Setler79 [48]

Answer:

B. 28.26

Step-by-step explanation:

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Am I right or wrong (don't answer the last one!)
S_A_V [24]

Answer:

1) Distributive Property of Multiplication (The terms are distributed)

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6 0
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Read 2 more answers
A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

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5 0
3 years ago
Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.)
alexdok [17]

Answer:

<h2>$3448.81</h2>

Step-by-step explanation:

Using the compound interest formula to calculate the amount compounded after 10years.

A = P(1+r)^{nt}

P = principal  = $2000

r = rate (in %) = 5.6%

t = time (in years) = 10years

n = 1year = time used in compounding

A = 2000(1+0.056)^{10} \\A = 2000(1.056)^{10}\\A = 2000*1.7244046\\A = 3448.81 (to\  2dp)

Amount compounded after 10 years is $3448.81

4 0
3 years ago
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