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3 years ago

6 - 2 (x+6)=3x+4 how to explain and do it

Mathematics

2 answers:

zzz [600]3 years ago

8 0

6-2x-12=3x+4
-2x-6=3x+4
-5x=10
-5/-5
x=-2

Temka [501]3 years ago

5 0

First you want to distribute.

6-2x-12=3x+4

Then combine like terms.

-2x-6=3x+4

Then solve for x

-6=5x+4

5x=-10

x=-2

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First you need to make a multiplier:
1-(12/100) = 0.78

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22 * 0.78 = 17.16

This means it cost $17.16 after the 12% sales tax.

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3 years ago

A recipe calls for 212 cups of flour to make 2 dozen cookies. How many cups of flour would be required to bake 15 dozen cookies.

NikAS [45]

Answer:

18 3/4 cups are required to bake 15 dozen of cookies.

Step-by-step explanation:

x = 75/4

x = 18 3/4 cups

18 3/4 cups are required to bake 15 dozen of cookies.

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3 years ago

Which of the following equations is an example of a line written in slope-intercept form?

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3 years ago

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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3 years ago

There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu

Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

$P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100$

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$P(Red) = 27.5\%$

Hence Probability of picking Red ball is 27.5%.

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3 years ago