The sum of two numbers is 44 . One number is 3 times as large as the other. What are the numbers?

Answer:

y=-1/2x+-7

Step-by-step explanation:

Slope intercept form is y=mx+b

m: slope of the graph

b: the y intercept

The y intercept is the point where the kine crosses the y axis, in this case, it will be (0,-7)

The slope can be calculated by using the slope formula (Y2- Y1)/(X2 - X1)

Pick two points that are on the line, in this case I would be using (0,-7)               and (2,-8)

Plug the respective points into the formula: (-8- (-7))/(2 - 0)

-8-(-7) is -1 and (2-0) is 2 so now, it is (-1)/(2) so the slope is -1/2

By using a system of equations, we will see that the solution is:

x = 25, y = -50, z = -15

We can write this as a system of equations:

4x + 2y - z = 15

x + y - z = -10

-3x - y + z = 60

Notice that if we add the second and third equations, we get:

(x + y - z) + (-3x - y + z ) = -10 + 60

-2x = 50

x = 50/-2 = -25

So we already got the value of x. Replacing that in the second equation we et:

25 + y - z = -10

Isolating y we get:

y = -10 - 25 + z = z - 35

Now we can replace that in the first equation:

4x + 2y - z = 15

4*25 + 2*(z - 35) - z = 15

100 + z - 70 = 15

z = 15 - 100 + 70 = -15

And using:

y =  z - 35 = -15 - 35 = -50

Then the soution to the matrix equation is:

x = 25, y = -50, z = -15

If you want to learn more about matrix equations:

https://brainly.com/question/11989522

#SPJ1

Answer:

3years

Step-by-step explanation:

Answer:

It will take for about 6 six years for the election for both positions be taken

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

To know more about orange in the fruit bowl here

https://brainly.com/question/25727207

#SPJ1

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ1

We have rules to follow when we are adding integers. In this problem, we are adding two negative integers (-1 and -2). Adding these two negative integers will result in a negative integer. We just simply add up the values of the two integers. Hence, we have

Answer: -3

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

More can be learned about multiplication of matrices at https://brainly.com/question/24274686

#SPJ1

Answer:

The vector equation in terms of v1 and v2 is x₁v₁ +x₂v₂ = [296 2454]

Step-by-step explanation:

Solution

The aim is to write down a vector equation in terms of v1 and v2, when solution gives the number of days each mine should operate in order to produce 296 tons of copper and 2454 kilograms of silver.

Thus,

Suppose that b = [ 296 2454] is the corresponding vector which is representing the total needed output.

Now,

If the company operates mine 1 for x1 days and mine​ #2 for x2 days

Then,

The total output becomes x₁v₁ +x₂v₂ which is the same output to  b = [296 2454]

Hence, x₁ and x₂ should be satisfactory to the needed vector equation x₁v₁ +x₂v₂ = [296 2454]

So, the vector equation becomes  x₁v₁ +x₂v₂ = [296 2454]

Answer:

To complete the square for the equation X^2-8x+32=12x-4, we first need to move all the constant terms to one side of the equation and all the variable terms to the other side.

X^2 - 8x - 12x + 32 = -4

Next, we can simplify the equation by combining like terms:

X^2 - 20x + 32 = -4

Then, we can add a constant term to both sides of the equation such that the left side becomes a perfect square trinomial:

X^2 - 20x + 100 = 64

Finally, we can write the left side of the equation in the form (x - a)^2, where a is a constant:

(X - 10)^2 = 64

Therefore, the intermediate step in the form (x + a)^2 = b as a result of completing the square for the equation X^2 - 8x + 32 = 12x - 4 is (X - 10)^2 = 64.

Answer:

1992.38

Step-by-step explanation:

The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.

Sum:

1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56

Divide:

There are 12 numbers, so divide 23908.56 by 12:

23908.56 / 12 = 1992.38

The average is thus 1992.38.

~ an aesthetics lover

Answer:

1992.38

Step-by-step explanation:

To find the mean, simply add all the numbers together, and divide by the amount of numbers there is:

(1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14)/12 = (23908.56)/12 = 1992.38

1992.38 is your answer.

~

Answer:

Step-by-step explanation:

To find the new population, we can substitute p = 4300 into the formula:

N = p + 0.04p

N = 4300 + 0.04(4300)

N = 4300 + 172

N = 4472

Therefore, the new population of the town is 4472 persons.

Answer:

Solution given

r=1ft

π=3.14

now

Volume of sphere=⁴/3 πr³=⁴/3×3.14×1³=4.186ft³

=4ft³

Answer:

1 hour and 40 minutes

Step-by-step explanation:

→ Convert 3 hr and 25 minutes to minutes

( 3 × 60 ) + 25 = 205 minutes

→ Convert 1 hr and 45 minutes to minutes

( 1 × 60 ) + 45 = 105 minutes

→ Minus the answers from each other

205 - 105 = 100 minutes

→ Convert 100 minutes to hours and minutes

1 hour and 40 minutes

Answer:

5 as a percentage of 100 is 5/100 which is 5%

The equation which reveals the dimensions that will create the maximum area of the prop section is;

\(A = - (x-20)^2 + 400\)

Option D is true.

Here,

We have to find, The equation which reveals the dimensions that will create the maximum area of the prop section.

What is Dimension?

The measure of the size or distance of an object or region or space in one direction is called Dimension.

Now,

The area of the sectioned off space, A, is modeled by this equation;

\(A = -x^{2} + 40x\)

Where,  x is the width of the prop section.

Hence,

\(A = -x^{2} + 40x\\\\A = - (x^{2} -40x)\\\\A = - ((x - 20)^2 - 20^2)\\\\A = - ((x-20)^2 - 400)\\\\A = - (x-20)^2 + 400\)

Clearly, We can say that;

A ≤ 400

So,

The equation which reveals the dimensions that will create the maximum area of the prop section is;

\(A = - (x-20)^2 + 400\)

Option D is true.

Learn more about the dimension visit:

https://brainly.com/question/27404871

#SPJ2

Answer:

Hi

Please mark brainliest ❣️

Thanks

Step-by-step explanation:

The answer is NO

Reason

x= 2 y= 1

Now input in the first inequality

y≤ -x + 4

1 ≤ -2 +4

1≤ 2 i.e 1 is less than two

Next inequality

y≤ x +1

1 ≤ 2 + 1

1≤ 3 i.e 1 is less than 3

But 1 is not equal to 3 and also not equal to 2

Hence our answer is NO

Answer:

C and D

Step-by-step explanation:

A and B are wrong because 6.3 is smaller than those numbers

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

More on inequalities: https://brainly.com/question/21857626

Hope this helps! :)

Answer:

\((6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} \)

Answer:

! not sure if correct !

Step-by-step explanation:

54% of anna's workout was lifting weight

Answer:

45%

Step-by-step explanation:

21+45=66=1 hour 6 mins

2 hours=120 min

120-66=54

(54/120)x100=45 45%

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

\(t = 15.7\)

Step-by-step explanation:

Given

\(Principal = 25000\) --- P

\(Amount = 75000\) --- A

\(Rate = 7\%\) --- R

Required

Determine the time (t)

Using continuous growth formula:

We have

\(A = Pe^{rt}\)

Convert rate to decimal

\(Rate = 7\%\)

\(r = 0.07\)

Substitute values for A, P and r

\(75000 = 25000 * e^{0.07t}\)

Divide both sides by 25000

\(3 = e^{0.07t}\)

Rewrite the exponential function as logarithmic, we have:

\(ln3 = 0.07t\)

Reorder

\(0.07t = ln3\)

Divide both sides by 0.07

\(t = \frac{ln3}{0.07}\)

\(t = \frac{1.09861228867}{0.07}\)

\(t = 15.69\)

\(t = 15.7\)

Hence, the time is approximately 15.7 years

Answer:

3.60555127546

Step-by-step explanation:

Answer:

it between 3 and 4

Step-by-step explanation:

it's 3.6...

Answer: NOW

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

1/4 times 3/8= 3/4

Step-by-step explanation: or 0.09375 please mark me brainlest if its wrong so sorry

Answer:

(1 1/4 + 2 3/8) divided by 3/4

Step-by-step explanation:

This was the correct answer after I went back and checked for the correct answers after I turned in the assignment. Hope this helps!

The polynomial x³+5x²+2x-8 has the factors (C) (x + 4), (F) (x + 2), and (D) (x - 1) as its factors.

A number that entirely divides another number is known as a factor.

In other words, if multiplying two whole numbers results in a result, the two whole numbers we are multiplying are factors of the result since the result may be divided by them.

Factors are the numbers that can divide a number exactly.

Therefore, after division, there is none left over.

So, let's see if the polynomial has (x - 1) as a factor:

⇒ p(1) = (1)³ + 5(1)² + 2(1) - 8

⇒ p(1) = 1+ 5 + 2 - 8

⇒ p(1) = 0

Multiply the component g(x) = by the polynomial p(x) = x3 + 5x2 + 2x - 8. (x - 1).

⇒ (x³ + 5x² + 2x - 8) ÷ (x - 1)

⇒ x² + 6x + 8

By dividing the middle term, let's factorize the aforementioned polynomial to determine the value of x.

Determine what a, b, and c are worth.

A is the coefficient of x2 = 1, B is the coefficient of x = 6, and C is the constant term = –8 in the equation above.

Determine the factors that add up to b by multiplying a and c.

1 × (8) = 8

The two factors that add up to b are 4 and 2.

Make two terms out of bx.

x² + 4x + 2x + 8

Eliminate the common elements by grouping.

x + 4x + 2x + 8 = x(x + 4) + 2 (x + 4)

= (x + 2) (x + 4)

Therefore, the polynomial x³+5x²+2x-8 has the factors (C) (x+4), (F) (x+2), and (D) (x-1) as its factors.

Know more about the factors here:

brainly.com/question/24351176

#SPJ4

Complete question:

Select all of the factors of x3 + 5x2 + 2x - 8;

a. x + 5, b. x - 3, c. x + 4, d. x - 1, e. x + 3, f. x + 2

Step-by-step explanation:

multiply them for example 12 times 16 equal 192m