The sum of three numbers is 109. The second number is 4 times the first number and the third number is 8 less that the second number. What are the three numbers?

Answer:

  (7√3)/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

That means ...

  tan(30°) = x/7

Multiplying by 7, we have ...

  x = 7·tan(30°)

  x = (7√3)/3

Answer:

12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is y = -15x + 35.

Step-by-step explanation:

We want to isolate y, so we cancel everything on that side of the equals except y. We begin with the term farthest away from y, which would be 3x. Since it is positive, to cancel it we will subtract. This will give us 1/5y = 7-3x.

Next we want to cancel the 1/5. Since it is directly beside y, this means it has been multiplied; to cancel, we will divide. Divide both sides by 1/5, and we have y = (7-3x)÷(1/5). When we divide fractions, we flip the second one and multiply; this means we have y=(7-3x)*5.

Using the distributive property, we have y=7*5-3x*5, which gives us y=35-15x. We can write this as y=-15x+35.

Answer:

y = 35 - 15x

Step-by-step explanation:

Given

3x + [tex]\frac{1}{5}[/tex] y = 7 ( subtract 3x from both sides )

[tex]\frac{1}{5}[/tex] y = 7 - 3x ( multiply both sides by 5 to clear the fraction )

y = 5(7 - 3x) , that is

y = 35 - 15x

Answer:

the approximate value of the square root of 8 is 2.828

Answer:

[tex]\boxed {\tt A= 14 \ ft^2}[/tex]

Step-by-step explanation:

The area of a triangle can be found using the following formula.

[tex]A=\frac{1}{2} bh[/tex]

where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

In this triangle, the base is 7 feet and the height is 4 feet.

[tex]b= 7 \ ft\\h= 4 \ ft[/tex]

Substitute the values into the formula.

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]

Multiply 7 ft and 4 ft.

[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]

Multiply 28 square feet by 1/2 or divide 28 square feet by 2.

[tex]A= 14 \ ft^2[/tex]

The area of the triangle is 14 square feet.

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

Answer:

yoi look for what you add to the equation to make it a perfect square by dividing 6 by 2 then add 2^2 to both sides.

A) 11.7

Step-by-step explanation:

sin 20/4=sin 87/c

sin 87×4=sin 20c

3.9945=0.3420c

c=3.9945/0.3420

c=11.7

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

Answer:

56

Step-by-step explanation

This question is not complete

Complete Question

Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.

Which student has made the correct choice? (1 point)

a) Delia chose 3y because she said that it was a factor of every term.

b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.

c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.

Answer:

c) Mike chose 6y because he said that it was the largest factor of every term.

Step-by-step explanation:

Step 1

Identify the GCF of the coefficients.

12x²y - 6xy + 18y²

Coefficients are :

12, 6, 18

The Greatest Common Factor for 12, 6, 18 =

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Step 2

Identify the GCF of the variables.

x²y , xy, y²

The GCF of these variables is y

Step 3

Combine to both GCF's to obtain the GCF of the expression.

= 6 × y

= 6y

The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y

Step 4

We factorise

= 12x²y−6xy + 18y²

= 6y(2x² - x + 3y)

Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.

Mike is correct.

Answer: -15

Step-by-step explanation:

200

-215

-  15

Hope this helped

Answer: 1,000

Step-by-step explanation:

1,750 divided by 1.75 =1,000

Answer:

1,000

Step-by-step explanation:

If the class wants to raise a total of $1,750 and make a profit of $1.75 from each candy bar that gets sold then you take the total and divide it by the amount of profit each bar makes. So you do 1,750 divided by 1.75 and that gives you 1,000. So the class must sell 1,000 candy bars to reach their goal.

x = > R

y = > [ 0 , infinity )

Domain :

f ( x ) = | x + 6 |

Clearly we can put any value for f ( x )

x = > R

Range :

Using input restriction:

For min of x = - 6

y belongs to [ 0 , infinity )

Hence we get answer.

Answer:

The Answer is 1 and 4

Step-by-step explanation:

Because there is only 4 numbers.

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

Step-by-step explanation:

0, _, _, 2, 8/3, ...

Write each number as a multiple of 1/3.

0/3, _, _, 6/3, 8/3, ...

The common difference is 8/3 − 6/3 = 2/3.  So the other two terms are 2/3 and 4/3.

Answer:

7

Step-by-step explanation:

5+2 is the difference between the two numbers

Answer:7

Step-by-step explanation:

hope its help thanks for seeing my answe bye

Answer:

5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2[32-3^3]

2[32-27]

2×5

10

As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.

Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.

Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies

The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.

As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.

So eventually the investment yield hits a ceiling of some sort.  We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).

Answer:

x = 3/2 y + 3

Step-by-step explanation:

2x – 3y = 6.

Add 3y to each side

2x – 3y+3y = 3y+6.

2x = 3y+6

Divide each side by 2

2x/2 = 3y/2 + 6/2

x = 3/2 y + 3

Answer:

x= 20

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

3x-1(3)-8= 1(4)+4x+5

Step 2- Multiply

3x-3-8= 4+4x+5

Step 3- Add.

3x-3-8= 4x+9

Step 4- Subtract 3x to both sides to move the variable to one side.

3x-11= 4x+9

-3x     -3x

Step 5- Subtract 9 to both sides.

-11= 1x+9

-9       -9

-20= x

Exchange the signs.

20= x

Answer:

x = -20

Step-by-step explanation:

3(x - 1) - 8 = 4(1+x) + 5​

3x - 3 -8 = 4 + 4x + 5

3x - 11 = 9 + 4x

-x = 20

x = -20

Answer:

if I am correct I believe it should be 1153.5 calories

Answer: (b) 7.8 degrees

Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).

You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.

Answer:

the answer of this question is 39,572

Step-by-step explanation:

i just took the assignment and it said the other number is wrong. the answer is 39,572 . your welcome :)

The maximum number of tickets to sell in one year if Each weekend, the theater can sell a total of 761 tickets for their performances, is 39572.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

Each weekend, the theater can sell a total of 761 tickets for their performances,

The total number of weeks = 52,

Calculate the maximum number of tickets to sell in one year as shown below,

The maximum number of tickets to sell in one year = 52 × 761

The maximum number of tickets to sell in one year = 39572

Thus, the total number of tickets sold is 39572.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ5

Answer:

Sample response: The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the

Step-by-step explanation:

First coupon:

89 - 50 = $39 (discount price)

Second coupon:

50% = 0.5

89 * 0.5 = 44.5

89 - 44.5 = $44.5 (discount price)

39 < 44.5

Therefore, the better option is using the $50 off one item.

Best of Luck!

Answer:

C is not considered as not a function

Step-by-step explanation:

Due to 0 goes 2 ranges