Solve the equation x/4+3=19 and verify the solution

Answers

Answer 1
Answer: x divided by 4+3 (7) has to equal 19 so take 19 and multiply is by 7 and you get 133 which is what x is
Answer 2
Answer:

Final answer:

The solution to the equation x/4 + 3 = 19 is x = 64. This is verified by substituting x = 64 back into the original equation, simplifying, and confirming the equation holds true.

Explanation:

To solve the equation x/4 + 3 = 19, we first subtract 3 from both sides of the equation. This gives us x/4 = 19 - 3, or x/4 = 16. Next, we multiply both sides of the equation by 4 to solve for x, which gives us x = 16 * 4 or x = 64.

To verify the solution, we substitute x = 64 back into the original equation: 64/4 + 3 = 19. Simplifying the left side gives us 16 + 3 = 19, which is equivalent to the right side. Therefore, the solution x = 64 is correct.

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Solve the problem by using the counting principle. (: Drapery is sold in 4 different fabrics. Each fabric comes in 13 different patterns. Each pattern is offered in 9 different colors. How many fabric-pattern-color combinations are there?
You toss a coin and roll a number cube. Find P(tail and a six).
I'd seriously appreciate it if anyone could help ASAP! I'm giving Brainliest!The point (-6, y) lies on the graph of the equation: 5y=2x−4.What is the value of y?--I believe it is but I'm not sure.

Please help what is m+6 = 20

Answers

M=14
Pic below
Hope this helps :)

Given Q = 3a + 5ac solve for a

Answers

Hi Mikey


q=3a+5ac

You need to change the equation's side

5ac+3a=q

Factor out a

a(5c+3)=q

Now we need to divide both sides by 5c+3 so we can find the value for a

a(5c+3)/(5c+3)=q/(5c+3)

a= q/(5c+3)


I hope that's help !

Dr. Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30. To the nearest foot, the streetlamp is about _____.

Answers

The correct answer is:

14 ft.

Explanation:

Let x be the height of the street lamp. This is one leg of a right triangle.

The other leg is formed by the combination of the length of the shadow and the distance Dr. Black is standing from the lamp. This is 5+20 = 25.

The angle of elevation is 30°. Comparing the given sides to this angle, we have the side opposite the angle (x) and the side adjacent to the angle (25). We know that opposite/adjacent is the ratio for tangent; this gives us the equation:

Dr. Black was standing 20 feet from his streetlamp outside his home. The lamp made Dr. Black's shadow approximately 5 feet long. His estimate was that angle of elevation from the tip of his shadow to the streetlamp is approximately 30. To the nearest foot, the streetlight outside his home is 14ft. 

Jen bought some bagels the ratio of the numbers of sesame beagles to the number of plain bagels the she bought is 1:3 find the decimal equivalent of the prrcent of the bagels that are plain

Answers

If the number of sesame to plain bagels is 1:3, that means that for every 3 plain bagels, there is 1 sesame bagel. So if there were 4 bagels total, with 3 being plain and 1 being sesame, then the fraction of the total amount of bagels represented by the amount of plain bagels there are would be 3/4.
3/4 written as a decimal would be 0.75, or 75%.
Hope that helped =)

Look at the following picture. What would be the resultant vector of A+B? vector b is 4.78m 67 degress vector a 21 degrees 11.3mthe picture wont upload

Answers

Answer:

The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees

Step-by-step explanation:

We need to convert the vectors given to x,y coordinate form.

We use the formula below:

x=ACos\theta

y=ASin\theta

Where A is the magnitude and \theta is the angle.

Vector A:

x=ACos\theta\nx=(11.3)Cos(21)\nx=10.55

and

y=(11.3)Sin(21)\ny=4.05

Vector B:

x=(4.78)Cos(67)\nx=1.87

and

y=(4.78)Sin(67)\ny=4.40

Now we can write the vectors as:

A = <10.55,4.05>

B = <1.87,4.40>

To add, A+B, we have:

A + B = <10.55+1.87, 4.05+4.40>

A + B = < 12.42, 8.45 >

To convert this into magnitude/degree format:

Magnitude = √((12.42)^2 + (8.45)^2) =15.02

Angle = Tan^(-1)((8.45)/(12.42))=34.23

Paula has two pieces of wire, one 96 feet long and the other 72 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them

Answers

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If you pull the information into a mathematical context, you'll notice it is asking for the highest common factor of the 2 numbers

Let's put both of them in prime factorization:

96 = 2^5 x 3

72 = 2^3 x 3^2

Now pick out what is common in these

2^3 x 3 = 24

Thus it would be 24 feet

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She can make 7 24-foot wires perfectly