MATHEMATICS COLLEGE

Solve the equation
3(x + 1) = 9+ 2x

Answers

Answer 1
Answer:

Answer:

x=6

Step-by-step explanation:

So we have the equation:

3(x+1)=9+2x

Distribute the left side:

3x+3=9+2x

Subtract 2x from both sides. The right side cancels:

(3x+3)-2x=(9+2x)-2x\nx+3=9

Subtract 3 from both sides:

(x+3)-3=(9)-3\nx=6

So, x is 6.

Answer 2
Answer: 3x(x)=3x
3x1=3
3x+3=9+2x

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Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?NO LINKS OR ANSWERING YOU DON'T KNOW.

a. 3
b. 12
c. 6
d. 24​

Answers

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

\displaystyle y=(k)/(x)

Where k is the constant of variation.

We know that y = 48 when x = 3. Substitute:

\displaystyle (48)=(k)/((3))

Solve for k:

k=3(48)=144

Hence, our equation is:

\displaystyle y=(144)/(x)

We want to find x when y = 24. Substitute:

\displaystyle (24)/(1)=(144)/(x)

Cross-multiply:

24x=144

Divide both sides by 24. Hence:

x=6

Our answer is C.

PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP

Answers

Answer: 151

Step-by-step

you need to first find the area of each piece of the tent

the 2 rectangular flaps would be 6*8= 48 each

the bottom would be 4*8=32

to find the area of the triangular pieces we need to know the height of each triangle, right now we only know sides. To find the height (the altitude) you draw a line straight down to make a 90 degree angle.

that will also cut your base in half (2 instead of 4) and make 6 your hypotenuse

now use the Pythagorean theorem to find the height of the triangle

a^(2) +b^(2) =c^(2) \n\na^(2) +2^(2) =6^(2) \na^(2) +4=36\na^(2) =32\na=√(32) = 5.66

Area of a triangle is

(1)/(2) bh\n(1)/(2) (4)(5.66)= 11.31

the area of one triangle is 11.31

so together it is 48+48+32+11.31+11.31= 150.6

round up to 151

A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

Answers

Answer: 125

The best prediction for the number of times a 4 will be drawn from the pile is:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)

=(1/8)×1000

=125

13. The volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 210 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 70 cubic inches.

Answers

Answer:

4.67 pounds

Step-by-step explanation:

In order to find the answer we need to use the following formula:

V=k/P where:

V=volume

P=pressure of the gas

k= constant of proportionality

The above equation establishes that the volume is inversely proportional to the pressure of the gas.

Now, the problem gave us two situations, which are:

For a time 1, we have V1=210 cubic inches and P1=14 pounds, using the equation we have:

V1=k/P1

210 cubic inches=k*(14 pounds) which can be written as:

(210 cubic inches)/(14 pounds)=k

For time 2, we have V2=70 cubic inches and P2=P2 using the equation we have:

V2=k/P2

70 cubic inches=k*P2, using 'k-value' from above:

(70 cubic inches)=[(210 cubic inches)/(14 pounds)]*P2

(70 cubic inches)*(14 pounds)/(210 cubic inches)=P2

4.67 pounds = P2

IfGeometry SOHCAHTOA

Answers

In geometry, sohcahtoa is an easy way to remember what sine, cos and tan stand for



Soh is sine, which is equal to opposite over hpotenuse


Cah is cos which is equal to adjacent over hypotenuse


Toa is tan which is equal to opposite over adjacent

What is the solution to –4|–2x + 6| = –24?x = 0x = 0 or x = –6x = 0 or x = 6no solution

Answers

The correct answers are the x = 6 and x = 0.

In order to find this, we can follow the order of operations.

–4|–2x + 6| = –24

Divide by -4

|–2x + 6| = 6

Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.

-2x + 6 = 6

-2x = 0

x = 0

Now for the negative

-2x - 6 = -6

-2x = -12

x = 6

These would be your two answers.

Answer:

C.

Step-by-step explanation:
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