when 5 is added to a certain number and the result is multiplied by 3, the final answer is 27. What is the original number

Answer: x= -1/2 y=3/4

Step-by-step explanation:

Answer:

x = -4y + 5/2

Step-by-step explanation:

step 1: 2x +8y + -8y = 5 + -8y

2x = -8y+ 5

step 2: divide both sides by 2

2x /2 = -8y+5/2

x= -4 + 5/2

Answer:

-40

At -40, the value on both scales are the same.

-40 °C = -40 ° F

Step-by-step explanation:

Given that;

F = temperature in Fahrenheit

C = temperature in Celsius

And;

F=(9C+160)/5 .........1

For temperature to be the same on both scale;

Temperature in Fahrenheit mist be equal to the temperature in Celsius

F = C

Substituting F = C into the equation 1;

C = (9C +160)/5

Multiply both sides by 5

5C = (9C+160)

Collecting the like terms.

5C -9C = 160

-4C = 160

C = -160/4

C = -40

F = C = -40

At -40, the value on both scales are the same.

That means;

-40 °C = -40 ° F

Answer:

0.42

Step-by-step explanation:

The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.

The expression of the markdown using a decimal can be represented below.

Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal.  Or you can just divide the percentage value by 100.

In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.

Answer:

Step-by-step explanation:

Let sharma age be S and Ankit age be A

S = 3a

(s-10) = 5(a-10)

substitute 1 in 2

3a-10 = 5a -50

40 = 2a

a = 20

s = 3 * 20 = 60

Answer:

smaller r = ( 6.5 , 0)

larger r = ( 21.5 , 0)

vertex = ( 14, -56.25)

Step-by-step explanation:

f(r) = (r -14)² -56.25 square (r-14)

f(r) = r² -28r +196 -56.25 simplify

f(r) =  r² -28r + 139.75

use quadratic formula

x=−b±√(b²−4ac)/ 2a

a = 1, b =-28, c = 139.75

x=−(−28)±√(−28)2−4(1)(139.75)2(1)

x=(28±√225)/2

x=43/2 or x=13/2

or 21.5 and 6.5

This parabola is given in vertex form f (r) = a(r - h)² + k, where (h, k) is the vertex of the parabola so just write the given numbers ( 14, -56.25)

Answer:

penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis

Answer:30%

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

If A = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}[/tex] and B = [tex]\begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]

Multiplication of these matrices,

A.B = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}\times \begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]

      = [tex]\begin{bmatrix}(1(-2)+3(3) & 1(1)+3(4)\\ (-2)(-2)+5(3) & 1(-2)+5(4)\end{bmatrix}[/tex]

      = [tex]\begin{bmatrix}7 & 13\\ 19 & 18\end{bmatrix}[/tex]

Therefore, Option (B) will be the answer.

Answer:

The last answer choice is the correct answer

Step-by-step explanation:

im hoping this helped, if not im sorry.

Answer:

0.966053748

Step-by-step explanation:

[tex] \sin \bigg( \frac{5\pi}{12} \bigg) \\ = \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\ = \sin ( 5 \times 15 \degree) \\ = \sin ( 75 \degree) \\ = \sin ( 45 \degree + 30 \degree) \\ = \sin 45 \degree \times \cos 30 \degree + \cos 45 \degree \times \sin 30 \degree \\ \\ = \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} + \frac{1}{ \sqrt{2} } \times \frac{1}{2} \\ \\ = \frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} } \\ \\ = \frac{ \sqrt{3} + 1}{2 \sqrt{2} } \\ \\ = \frac{1.732 + 1}{2 \times 1.414} \\ \\ = \frac{2.732}{2.828} \\ \\ = 0.966053748[/tex]

The answer to the question what is the value of this expression when a = 7 and b = -4? | 2a | - b/3 it is D.) 6

The value of this expression (|2a| - b)/3 when a = 7 and b = -4 is 6. So, option D is correct.

The absolute value of a number or variable is returned by a modulus function. It is defined as

|x| = x, x > 0

= -x, x < 0

= 0, x = 0

The given expression is (|2a| - b)/3. Here, we have to put a = 7 and b = -4 to get the value.

Now, (|2a| - b)/3 = (|2×7| - (-4))/3 = (|14| + 4)/3 = (14 + 4)/3 [Since 14 is a positive integer]

i.e. (|2a| - b)/3 = 18/3 = 6

Therefore, the value of this expression (|2a| - b)/3 when a = 7 and b = -4 is 6. So, option D is correct.

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Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

Answer:

x = -3        x=2

Step-by-step explanation:

x^2 + x - 6 = 0

Factor

What two numbers multiply to -6 and add to 1

3*-2 =-6

3+-2 =1

(x+3) (x-2) = 0

Using the zero product property

x+3 = 0   x-2 = 0

x = -3        x=2

Answer:

6. composite figure

7. 60+432=492

Answer:

The answer is 100% B

Step-by-step explanation:

The graph of the polynomial rational function is f ( x ) = x / ( x + 2 ) ( x - 5 )

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the polynomial function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x / ( x + 2 ) ( x - 5 )

The rational function is of the form P ( x ) / Q ( x ) , where Q ( x ) ≠ 0

So , the value of P ( x ) = x

And , the value of Q ( x ) = ( x + 2 ) ( x - 5 )

Therefore , the graph of the rational function is plotted

Hence , the graph of the polynomial is f ( x ) = x / ( x + 2 ) ( x - 5 )

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Answer:

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

Step-by-step explanation:

[tex]4^x=1/2[/tex]

Make the bases 2 on both sides of the equation.

[tex]2^{2^x}=2^{-1}[/tex]

Multiply the exponents.

[tex]2^{2x}=2^{-1}[/tex]

Cancel the bases.

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

Divide 2 into both sides of the equation.

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

Answer:

C

Step-by-step explanation:

Use sine rule

17/sin130=5/sinB

(5×sin130)÷17=sinB

sinB=0.2253017892

B=sin^-1ans above

=13.4

A=(130+13) subtracted from 180=37°

a/sin37=17/sin130

=13.4

Answer:

256

Step-by-step explanation:

<1=<8 -->alt exterior angles

<4=<1 --> vertical angles

= <1=<4=<8(128)

256

Answer:

[tex]1538.6mm^{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

[tex]V=3.14*7^{2} *10[/tex]

[tex]V=31.4*49=1538.6[/tex]

Answer:

A, C and E.  

Step-by-step explanation:

[tex]70 \% \times 80[/tex]

[tex]70/100 \times 80[/tex]

[tex]560/10[/tex]

[tex]=56[/tex]

[tex]0.7 \times 80[/tex]

[tex]=56[/tex]

[tex]7/10 \times 80[/tex]

[tex]=56[/tex]

Answer:

Option B.

Step-by-step explanation:

If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.

From the given table it is clear that the value of function are

x  |  f(x) | Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.

It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

Answer:

between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

B on my computer but always double check!

Answer:

325 adults

Step-by-step explanation:

x=#adults

y=#children

x+y=937

2x+0.75y=1109

2x+2y=1874

-2x-0.75y=1109

1.25y=765

y=612

x=937-612

x=325

Answer:

300%

Step-by-step explanation:

Let the length of the carpet be L.

Let the width of the carpet be W.

The original area of the carpet is:

A = L * W = LW

The length and width are enlarged by 60%.

The new length is:

L + (L * 60/100) = L + 0.6L = 1.6L

The new width is:

W + (W * 60/100) = W + 0.6W = 1.6W

The length and width are then reduced by 25%.

The new length is:

1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L

The new width is:

1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W

The new area will be:

A = 2L * 2W = 4LW

To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:

4LW - LW = 3LW

% increase is:

[tex]\frac{3LW}{LW} * 100[/tex] = 300%

The area of the final item is 300% greater than the original item.

Answer:

44%

Step-by-step explanation:

;)

This is a [tex]90^\circ[/tex] sector of a circle of radius 8, or one-fourth of the circle, so the area is [tex]\frac{\pi(8)^2}{4}=\boxed{16\pi}.[/tex]

Answer: 50.2656

Step-by-step explanation:

Answer:

bisects, equal, midpoint

Step-by-step explanation:

According to the "Angle Bisector" Theorem, an angle bisector of a triangle divides the opposite side into segments proportional to the lengths of the other two sides of the triangle.

If a ray bisects an angle of a triangle, it divides the opposite side into segments proportional to the lengths of the other two sides. An angle bisector divides an angle into two equal halves. A perpendicular bisector is the line perpendicular to a segment passing through the segment’s midpoint.

Answer:

Range could be 205000 to 214999. Any number in this range, when rounded to two signnificant digits will yield 210000.

Answer:

Step-by-step explanation:

The graph of f(x) = + (4) is the same as that of g(x) = 4; it's a constant function defined for all x values but its range is just one number:  4.

Answer:

D. [tex] \frac{4 \sqrt{33} }{33} [/tex]

Step-by-step explanation:

[tex] \tan \alpha = \frac{4}{ \sqrt{33} } \\ = \frac{4}{ \sqrt{33} } \times \frac{ \sqrt{33} }{ \sqrt{33} } \\ \\ = \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} } \\ \\ \tan \alpha = \frac{4 \sqrt{33} }{33} [/tex]