In a series RL circuit, ET = 120 V, R = 40 Ω, and XL = 30 Ω. What is ER?

ANSWER

[tex]x=\frac{13}{62}[/tex]

and

[tex]y= \frac{-9}{62}[/tex]e have

EXPLANATION

[tex]17x-3y=4---(1)[/tex]

[tex]2x-4y=1[/tex]

Let us make y the subject and call it equation (2)

[tex]2x=1+4y[/tex]

[tex]x=\frac{1}{2}+2y--(2)[/tex]

We put equation (2) in to equation (1)

[tex]17(\frac{1}{2}+2y)-3y=4[/tex]

[tex]\frac{17}{2}+34y-3y=4[/tex]

[tex]34y-3y=4- \frac{17}{2} [/tex]

Simplify to get,

[tex]31y= \frac{8-17}{2} [/tex]

[tex]31y= \frac{-9}{2} [/tex]

Divide both sides by 31,

[tex]y= \frac{-9}{2} \div 31[/tex]

[tex]y= \frac{-9}{2} \times \frac{1}{31}[/tex]

[tex]y= \frac{-9}{62}[/tex]

We put this value in to equation (2) to get,

[tex]x=\frac{1}{2}+2\times -\frac{9}{62}[/tex]

[tex]x=\frac{1}{2} -\frac{18}{62}[/tex]

We collect LCM to obtain,

[tex]x=\frac{31-18}{62}[/tex]

[tex]x=\frac{13}{62}[/tex]

Let denote the two numbers with X and Y. n represent one number

Y=X + 3 1/3

The sum of the two numbers is: X+Y=X + X + 3 1/3

The triple sum is: 3(X + X + 3 1/3)

3(X + X + 3 1/3) = 133

3X + 3X + 10 = 133            

6X + 10 = 133                    

6X = 123                            

X = 12 1/2                  , Y= X+ 3 1/3 =  12 1/2 = 3 1/3 is the largest number

Answer:

[tex]23\frac{5}{6}[/tex]

Step-by-step explanation:

Let x be the smaller number,

Thus, according to the question,

Second number or larger number = [tex]x+ 3\frac{1}{3}[/tex]

Now, sum of these number = [tex]x+x+ 3\frac{1}{3}=2x+\frac{10}{3}[/tex]

Again according to the question,

[tex]3\times ( 2x + \frac{10}{3})= 133[/tex]

[tex]6x + 10 = 133[/tex]

[tex]6x = 123[/tex]

[tex]\implies x = \frac{123}{6}[/tex]

Thus, the larger number = [tex]\frac{123}{6}+3\frac{1}{3}=\frac{123}{6}+\frac{10}{3}=\frac{123+20}{6}=\frac{143}{6}=23\frac{5}{6}[/tex]

The answer to your is 0.16 hope this will help you.

138/36 = 3 R 30

30/12 = 2 R 6

3 yds 2 ft 6 in

Hey there!!  

Given equation :

... 2t + 8 > -4 ( t + 1 )

Using the distributive property :

... 2t + 8 > -4t - 4

Adding 4t on both sides :

... 6t + 8 > - 4

Subtracting 8 on both sides :

... 6t > - 12

Dividing by 6 on both sides :

... t > -2

Hence, the number in the blank is -2.

Hope my answer helps!!

Answer:

Volume of Gold = 0.4 cubic feet.

Step-by-step explanation:

First we have to make sure the units are same as the units the answer is required in.

Answer should be given in cubic feet.

Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.

The Density of Gold = [Mass of Gold/Volume of Gold]

By substituting values,

[tex]1204[/tex] ponds per cubic foot = [[tex]481.6[/tex] pounds / Volume of gold]

Making Volume of God the subject of the equation,

Volume of Gold = [[tex]481.6[/tex] pounds / tex]1204[/tex] ponds per cubic foot ]

Volume of Gold = 0.4 cubic feet.

8 camper in each tent

Look at the picture.

The number is 4.

[tex]1 + 3*4 = 13\\2 * 4 + 5 = 13[/tex]

The problem is about solving a simple algebraic equation. The given condition can be put into an equation and solved step by step. The number that meets the condition is 4.

The subject of this problem is algebra. We need to find a number that satisfies the given condition. If we define the unknown number as 'x', the given statement can be translated into the following algebraic equation: 1 + 3x = 2x + 5.

To find the number, we solve this equation step by step. First, we can rearrange the equation by subtracting 2x from both sides, which gives us: 1 + x = 5. Then, subtracting 1 from both sides, we have: x = 4.

So, the number that satisfies the given condition is 4.

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Answer:

Solution: All real numbers.

Step-by-step explanation:

[tex]3(4g+6)=2(6g+9)\qquad|\text{use distributive property}\\\\(3)(4g)+(3)(6)=(2)(6g)+(2)(9)\\\\12g+18=12g+18\qquad|\text{subtract 12g from both sides}\\\\18=18\qquad TRUE[/tex]

It's an identity equation.

To write an expression in function notation, you must solve it for the dependent variable.

Assuming that you want the expression to be written in the form [tex] y = f(x) [/tex] (i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.

So, first of all, we can add 9x to both sides to get

[tex] 3y = 9x+24 [/tex]

Finally, we divide both sides by 3:

[tex] y = 3x + 8 [/tex]

You have 5/8 remaining of a pizza. You want to divide it into 3 equal slices.

To find the answer, Divide 5/8 with 3, or multiply 5/8 x 1/3

5/8 x 1/3 = 5/24

Each portion is 5/24 of the original slice.

hope this helps

subtract 6 from the 21x+6. Then divide by 21. The answer is going to be -6/21

When a number is raised to the power of 2, it is squared. This means the number is multiplied by itself once.

When a number is raised to the power of 2, it is squared. Squaring a number means multiplying it by itself. For example, if you have the number 4 and you square it (raise it to the power of 2), you would multiply 4 by 4, which equals 16. Therefore, 4 squared (or 4 to the power of 2) equals 16.

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If you bought a $3 smoothie and your total (with tip) is $3.60, you have to divide 3.6/3. You get 1.2, which means you left a 20% tip, which would be .2 in decimal form.

To find the percent tip, divide the tip amount by the total cost and multiply by 100.

To find the percent tip, we need to first calculate the total cost of the smoothies and the tip. Since the smoothies cost $3 each, the total cost of the smoothies is $3 * 2 = $6. Let's assume the tip amount is x dollars. The split total (including the tip) is $3.60, which is equal to half of the total cost plus the tip: $3 + $3 + x = $6 + x. Solving this equation, we can find the value of x:

The tip amount is $1.20. To find the percent tip in decimal form, we divide the tip amount by the total cost and multiply by 100: $1.20 / $6 * 100 = 20%. Therefore, you and your friend left a 20% tip.

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The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Convert the sentence into an equation or expression.

The sentence is four more than the number of weeks in a group of days.

We know that in a week, there are 7 days. Then the equation will be

Week = (Days / 7) + 4

Simplify the equation, then the equation will be

W = D/7 + 4

The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.

More about the Algebra link is given below.

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Substitute y = 2x - 15 to the second equation:

4x + 3(2x - 15) = -5      use distributive property

4x + (3)(2x) + (3)(-15) = -5

4x + 6x - 45 = -5       add 45 to both sides

10x = 40      divide both sides by 10

x = 4

Substitute the value of x to the equation y = 2x - 15:

y = 2(4) - 15 = 8 - 15 = -7

The answer is x  = −2

open the attachment to get the show the explaining.

Constant: 13

Coefficient: 20

you do 4 3/4 times 5= 95/4-23 3/4

The speed of the boat in still water is 8 miles per hour.

To find the speed of the boat in still water, we can use the formula:

Speed of the boat in still water = (speed downstream + speed upstream) / 2

Given that it takes the same amount of time for the boat to travel 36 miles downstream and 12 miles upstream, we can set up the following equation:

36 / (v + 4) = 12 / (v - 4)

Where v is the speed of the boat in still water. Cross multiplying and solving the equation, we get:

36(v - 4) = 12(v + 4)

36v - 144 = 12v + 48

24v = 192

v = 8

Therefore, the speed of the boat in still water is 8 miles per hour.

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4x19=76 tada there ya go pally!