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3 years ago

Find the solution of 2/3x+1/4=-4/3

1 answer:

6 0

These questions can be daunting at first, but they're pretty simple to solve.

First, we need to establish a common denominator. We have 2 / 3, 1 / 4, and
-4 / 3. The least common denominator we can get is by multiplying 4 and 3 together to get 12. So we will change the denominator as follows;

2 / 3, 1 / 4, -4 / 3 = 8 / 12, 3 / 12, -16 / 12

Now we can put these back into the equation.

8/12x + 3/12 = -16/12
8x + 3 = -16

It's simple math from here on out, but I'll show the process. What we can basically do now is take away the denominator because it doesn't matter now that it's common.

Subtract 3 from both sides. Now we have 8x = -19

Dividing by 8 on both sides of the equation will get you your answer.

x = -19/8

Hope this helps!

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The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gal

Leokris [45]

9514 1404 393

Answer:

driver's tank: 30,427 lb
farmer's tank: 12,811 lb

Step-by-step explanation:

The formula for the volume of a cylinder is ...

V = πr^2·h . . . radius r, height h

The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...

V = π(4 ft)^2·(19 ft) = 304π ft^3

Each cubic foot of gasoline has a mass of ...

(1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3

Then the total mass in the driver's full tank is ...

(304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb

The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.

The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.

The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.

6 0

3 years ago

A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at

IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = $6_C__4$ = $\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15$

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = $3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1$ = $\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9$

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes = $\frac{9}{15}=\frac{3}{5}=0.6$

4 0

3 years ago

For f(x)=4x+1 and g(x)=x^2-5 find (f-g)(x)

Marrrta [24]

$f(x)=4x+1,\ g(x)=x^2-5\\\\(f-g)(x)=f(x)-g(x)\\\\\text{Therefore}\\\\(f-g)(x)=(4x+1)-(x^2-5)=4x+1-x^2+5=-x^2+4x+6$

6 0

3 years ago

Read 2 more answers

If 2 pounds of bananas cost $1.89, what is the cost per pound? Show your work

OLEGan [10]

You can set up an expression where p = the pounds of bananas.
With that information, 2p =$1.89
To figure out the cost per pound, you want the cost of 1 p. Therefore, you divide both sides by 2.
p = $1.89/2
p = $0.945
(since it is money you normally round to two decimal places so you would say $0.95 or 95 cents)

6 0

3 years ago

Please help me ASAP

stellarik [79]

Answer:

<em>The Graph is shown below</em>

Step-by-step explanation:

<u>The Graph of a Function</u>

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$